2(A) - Math 7 Plus - Greene

2(A) - Math 7 Plus - Greene - 2018

Course Modules

Unit 1: Scale Drawings

Unit 1: Scale Drawings Unit 1: Scale Drawings

Context Module Sub Header

Lesson 1 Corresponding Part and Scale Factors in Scaled Copies 1

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External Url

7.1.1 Material 7.1.1 Material 2

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External Url

1.1: Printing Portraits 1.1: Printing Portraits 3

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External Url

1.2: Scaling F 1.2: Scaling F 4

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External Url

1.3: Pairs of Scaled Polygons 1.3: Pairs of Scaled Polygons 5

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External Url

7.1.2 Material 7.1.2 Material 6

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External Url

2.2: Corresponding Parts 2.2: Corresponding Parts 7

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Context Module Sub Header

Lesson 2 Making Scaled Copies 11

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External Url

7.1.3 Material 7.1.3 Material 12

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External Url

7.1.3.2 Drawing Scaled Copies 7.1.3.2 Drawing Scaled Copies 13

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External Url

7.1.4 Material 7.1.4 Material 14

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External Url

7.1.4.4 Comparing Pictures of Birds 7.1.4.4 Comparing Pictures of Birds 15

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Context Module Sub Header

Lesson 3 The Size of the Scale Factor 16

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External Url

7.1.5 Material 7.1.5 Material 17

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Context Module Sub Header

Lesson 4 Scaling and Area 19

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External Url

7.1.6 Material 7.1.6 Material 20

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External Url

7.1.6.1 Scaling a Pattern Block 7.1.6.1 Scaling a Pattern Block 21

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External Url

7.1.6.2 Scaling More Pattern Blocks 7.1.6.2 Scaling More Pattern Blocks 22

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Context Module Sub Header

Lesson 5 Scale Drawings and Maps 24

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External Url

7.1.7 Material 7.1.7 Material 25

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.1.8 Material 7.1.8 Material 26

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External Url

7.1.8.2 Driving on I-90 7.1.8.2 Driving on I-90 27

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Context Module Sub Header

Lesson 6 Changing Scales in Scale Drawings 28

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External Url

7.1.9 Material 7.1.9 Material 29

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External Url

7.1.9.2 Bedroom Floor Plan 7.1.9.2 Bedroom Floor Plan 30

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External Url

7.1.10 Material 7.1.10 Material 31

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Context Module Sub Header

Lesson 7 Scales Without Units 32

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External Url

7.1.11 Material 7.1.11 Material 33

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Context Module Sub Header

Lesson 8 Units in Scale Drawings 35

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External Url

7.1.12 Material 7.1.12 Material 36

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Page

Unit 1 Printable Materials Unit 1 Printable Materials 38

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External Tool

Identifying corresponding parts of scaled copies | Geometry | 7th grade | Khan Academy Identifying corresponding parts of scaled copies | Geometry | 7th grade | Khan Academy 100

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Identifying scaled copies Identifying scaled copies 101

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External Tool

Identifying scale factor in drawings | Geometry | 7th grade | Khan Academy Identifying scale factor in drawings | Geometry | 7th grade | Khan Academy 102

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External Tool

Interpreting scale factors in drawings | Geometry | 7th grade | Khan Academy Interpreting scale factors in drawings | Geometry | 7th grade | Khan Academy 103

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External Tool

Scale factors and area Scale factors and area 104

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External Tool

Interpreting a scale drawing | Geometry | 7th grade | Khan Academy Interpreting a scale drawing | Geometry | 7th grade | Khan Academy 105

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External Tool

Solve a scale drawing word problem | Geometry | 7th grade | Khan Academy Solve a scale drawing word problem | Geometry | 7th grade | Khan Academy 106

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Unit 2: Introducing Proportional Relationships

Unit 2: Introducing Proportional Relationships Unit 2: Introducing Proportional Relationships

Context Module Sub Header

Lesson 1 Representing Proportional Relationships with Tables 1

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External Url

7.2.2 Material 7.2.2 Material 2

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Context Module Sub Header

Lesson 2 Constant of Proportionality 3

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External Url

7.2.3 Material 7.2.3 Material 4

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Context Module Sub Header

Lesson 3 Two Equations for Each Relationship 6

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External Url

7.2.4 Material 7.2.4 Material 7

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External Url

7.2.5 Material 7.2.5 Material 8

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Context Module Sub Header

Lesson 4 Using Equations to Solve Problems 10

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External Url

7.2.6 Material 7.2.6 Material 11

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Context Module Sub Header

Lesson 5 Comparing Relationships with Tables 13

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7.2.7 Material 7.2.7 Material 14

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Lesson 6 Comparing Relationships with Equations 20

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External Url

7.2.8 Material 7.2.8 Material 21

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7.2.9 Material 7.2.9 Material 22

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Lesson 7 Solving Problems About Proportional Relationships 23

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External Url

7.2.9 Material 7.2.9 Material 24

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Lesson 8 Interpreting Graphs of Proportional Relationships 26

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External Url

7.2.10 Material 7.2.10 Material 27

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7.2.10.1 Notice These Points 7.2.10.1 Notice These Points 28

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7.2.10.2 T-shirts for Sale 7.2.10.2 T-shirts for Sale 29

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7.2.11 Material 7.2.11 Material 30

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7.2.11.3 Seagulls Eat What? 7.2.11.3 Seagulls Eat What? 31

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Context Module Sub Header

Lesson 9 Comparing Relationships with Graphs 34

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External Url

7.2.12 Material 7.2.12 Material 35

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7.2.12.2 Race to the Bumper Cars 7.2.12.2 Race to the Bumper Cars 36

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7.2.12.3 Space Rocks and the Price of Rope 7.2.12.3 Space Rocks and the Price of Rope 37

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Context Module Sub Header

Lesson 10 Two Graphs for Each Relationship 39

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External Url

7.2.13 Material 7.2.13 Material 40

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7.2.13.2 Tables, Graphs, and Equations 7.2.13.2 Tables, Graphs, and Equations 41

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External Url

7.2.13.3 Hot Dog Eating Contest 7.2.13.3 Hot Dog Eating Contest 42

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Context Module Sub Header

Lesson 11 Understanding and Graphing Proportional Relationships 43

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External Url

7.2.14 Material 7.2.14 Material 44

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External Url

7.2.15 Material 7.2.15 Material 45

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Context Module Sub Header

Lesson 12 Representing Proportional Relationships 46

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External Url

7.2.15 Materials 7.2.15 Materials 47

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External Url

7.2.16 Materials 7.2.16 Materials 48

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Context Module Sub Header

Lesson 13 Comparing Proportional Relationships 49

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7.2.16 Materials 7.2.16 Materials 50

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External Url

7.2.17 Materials 7.2.17 Materials 51

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Page

Unit 2 Printable Materials Unit 2 Printable Materials 52

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External Tool

Constant of proportionality from tables | 7th grade | Khan Academy Constant of proportionality from tables | 7th grade | Khan Academy 132

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External Tool

Interpret proportionality constants Interpret proportionality constants 133

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External Tool

Writing proportional equations | Rates & proportional relationships | 7th grade | Khan Academy Writing proportional equations | Rates & proportional relationships | 7th grade | Khan Academy 134

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Movie ticket proportionality | 7th grade | Khan Academy Movie ticket proportionality | 7th grade | Khan Academy 135

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External Tool

Banana proportionality | Rated and proportional relationships | 7th grade | Khan Academy Banana proportionality | Rated and proportional relationships | 7th grade | Khan Academy 136

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External Tool

Identifying a proportional relationship from a table (example) | 7th grade | Khan Academy Identifying a proportional relationship from a table (example) | 7th grade | Khan Academy 137

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External Tool

Testing whether area is proportional to side length | 7th grade | Khan Academy Testing whether area is proportional to side length | 7th grade | Khan Academy 138

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Proportionality between side length and perimeter | 7th grade | Khan Academy Proportionality between side length and perimeter | 7th grade | Khan Academy 139

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External Tool

Comparing proportionality constants Comparing proportionality constants 140

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External Tool

Constant of proportionality from graph | 7th grade | Khan Academy Constant of proportionality from graph | 7th grade | Khan Academy 141

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External Tool

Interpreting graphs of proportional relationships | 7th grade | Khan Academy Interpreting graphs of proportional relationships | 7th grade | Khan Academy 142

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External Tool

Comparing constants of proportionality | 7th grade | Khan Academy Comparing constants of proportionality | 7th grade | Khan Academy 143

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Unit 3: Rational Number Arithmetic

Unit 3: Rational Number Arithmetic Unit 3: Rational Number Arithmetic

Context Module Sub Header

Lesson 1 Changing Temperatures and Elevations 1

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7.5.2 Material 7.5.2 Material 2

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7.5.2.3 Winter Temperatures 7.5.2.3 Winter Temperatures 3

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7.5.3 Material 7.5.3 Material 4

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.3.2 Cliffs and Caves 7.5.3.2 Cliffs and Caves 5

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 2 Money and Debts 11

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.4 Material 7.5.4 Material 12

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 3 Subtracting Rational Numbers 14

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.5 Material 7.5.5 Material 15

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 4 Adding and Subtracting to Solve Problems 18

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.6 Material 7.5.6 Material 19

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.7 Material 7.5.7 Material 20

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.7.4 Differences and Distances 7.5.7.4 Differences and Distances 21

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 5 Position, Speed, and Direction 24

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.8 Material 7.5.8 Material 25

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 6 Multiplying Rational Numbers 26

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.9 Material 7.5.9 Material 27

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.9.3 Cruising 7.5.9.3 Cruising 28

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.9.4 Rational Numbers Multiplication Grid 7.5.9.4 Rational Numbers Multiplication Grid 29

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.10 Material 7.5.10 Material 30

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 7 Dividing Rational Numbers 33

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.11 Material 7.5.11 Material 34

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.11.3 Drilling Down 7.5.11.3 Drilling Down 35

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 8 Negative Rates 38

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.12 Material 7.5.12 Material 39

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 9 Expressions with Rational Numbers 41

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.13 Material 7.5.13 Material 42

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.13.4 Seagulls and Sharks Again 7.5.13.4 Seagulls and Sharks Again 43

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 10 Solving Problems with Rational Numbers 48

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.14 Material 7.5.14 Material 49

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 11 Solving Equations with Rational Numbers 52

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.15 Material 7.5.15 Material 53

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.15.2 Match Solutions 7.5.15.2 Match Solutions 54

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 12 Representing Contexts with Equations 55

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.16 Material 7.5.16 Material 56

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.5.16.2 Warmer or Colder than Before? 7.5.16.2 Warmer or Colder than Before? 57

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

Unit 3 Printable Materials Unit 3 Printable Materials 58

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Adding negative numbers (example) | Negative numbers and absolute value | Pre-Algebra | Khan Academy Adding negative numbers (example) | Negative numbers and absolute value | Pre-Algebra | Khan Academy 122

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Adding numbers with different signs (example) | Pre-Algebra | Khan Academy Adding numbers with different signs (example) | Pre-Algebra | Khan Academy 123

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Adding negative numbers on number line examples | 7th grade | Khan Academy Adding negative numbers on number line examples | 7th grade | Khan Academy 124

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Integer equations to describe diagram | 7th grade | Khan Academy Integer equations to describe diagram | 7th grade | Khan Academy 125

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Adding fractions with different signs | Fractions | Pre-Algebra | Khan Academy Adding fractions with different signs | Fractions | Pre-Algebra | Khan Academy 126

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Rational number word problem with decimals | Pre-Algebra | Khan Academy Rational number word problem with decimals | Pre-Algebra | Khan Academy 127

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Interpreting integer expressions | 7th grade | Khan Academy Interpreting integer expressions | 7th grade | Khan Academy 128

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Absolute value as distance between numbers | 7th grade | Khan Academy Absolute value as distance between numbers | 7th grade | Khan Academy 129

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Interpreting negative number statements | 7th grade | Khan Academy Interpreting negative number statements | 7th grade | Khan Academy 130

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Finding initial temperature from temperature changes | 7th grade | Khan Academy Finding initial temperature from temperature changes | 7th grade | Khan Academy 131

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Why a negative times a negative makes intuitive sense | Pre-Algebra | Khan Academy Why a negative times a negative makes intuitive sense | Pre-Algebra | Khan Academy 132

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Why a negative times a negative is a positive | Pre-Algebra | Khan Academy Why a negative times a negative is a positive | Pre-Algebra | Khan Academy 133

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Dividing positive and negative numbers | Pre-Algebra | Khan Academy Dividing positive and negative numbers | Pre-Algebra | Khan Academy 134

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Dividing negative fractions | Fractions | Pre-Algebra | Khan Academy Dividing negative fractions | Fractions | Pre-Algebra | Khan Academy 135

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Interpreting multiplicationa and division of negative numbers | 7th grade | Khan Academy Interpreting multiplicationa and division of negative numbers | 7th grade | Khan Academy 136

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Substitution with negative numbers | 7th grade | Khan Academy Substitution with negative numbers | 7th grade | Khan Academy 137

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Understanding variables representing integers on number line | 7th grade | Khan Academy Understanding variables representing integers on number line | 7th grade | Khan Academy 138

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Negative signs in numerators and denominators | 7th grade | Khan Academy Negative signs in numerators and denominators | 7th grade | Khan Academy 139

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Expressions with rational numbers | 7th grade | Khan Academy Expressions with rational numbers | 7th grade | Khan Academy 140

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Introduction to order of operations | Arithmetic properties | Pre-Algebra | Khan Academy Introduction to order of operations | Arithmetic properties | Pre-Algebra | Khan Academy 141

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Multi-step word problem with addition, subtraction, and multiplication | Pre-Algebra | Khan Academy Multi-step word problem with addition, subtraction, and multiplication | Pre-Algebra | Khan Academy 142

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Unit 4: Expressions, Equations, and Inequalities

Unit 4: Expressions, Equations, and Inequalities Unit 4: Expressions, Equations, and Inequalities

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Lesson 1 Reasoning About Contexts with Tape Diagrams 1

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7.6.2 Reasoning about Contexts with Tape Diagrams (Part 1) 7.6.2 Reasoning about Contexts with Tape Diagrams (Part 1) 2

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7.6.2.3 Every Story Needs a Picture 7.6.2.3 Every Story Needs a Picture 3

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Lesson 2 Reasoning About Equations and Tape Diagrams 4

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7.6.3 Reasoning about Contexts with Tape Diagrams (Part 2) 7.6.3 Reasoning about Contexts with Tape Diagrams (Part 2) 5

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7.6.3.3 Drawing Tape Diagrams to Represent Equations 7.6.3.3 Drawing Tape Diagrams to Represent Equations 6

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Lesson 3 Representing Situations with Tape Diagrams and Equations 10

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External Url

7.6.4 Reasoning about Equations and Tape Diagrams (Part 1) 7.6.4 Reasoning about Equations and Tape Diagrams (Part 1) 11

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External Url

7.6.4.2 Situations and Diagrams 7.6.4.2 Situations and Diagrams 12

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7.6.5 Reasoning about Equations and Tape Diagrams (Part 2) 7.6.5 Reasoning about Equations and Tape Diagrams (Part 2) 13

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7.6.5.2 More Situations and Diagrams 7.6.5.2 More Situations and Diagrams 14

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Lesson 4 Distinguishing Between Two Types of Situations 15

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7.6.4 Material: 7.6.4 Material: 16

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7.6.4.2 Situations and Diagrams 7.6.4.2 Situations and Diagrams 17

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7.6.5 Material: 7.6.5 Material: 18

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External Url

7.6.5.2 More Situations and Diagrams 7.6.5.2 More Situations and Diagrams 19

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7.6.6 Distinguishing between Two Types of Situations 7.6.6 Distinguishing between Two Types of Situations 20

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Context Module Sub Header

Lesson 5 Reasoning About Solving Equations With Balanced Hangers 22

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External Url

7.6.7 Reasoning about Solving Equations (Part 1) 7.6.7 Reasoning about Solving Equations (Part 1) 23

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7.6.8 Reasoning about Solving Equations (Part 2) 7.6.8 Reasoning about Solving Equations (Part 2) 24

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Lesson 6 Dealing With Negative Numbers in Equations 25

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External Url

7.6.9 Dealing with Negative Numbers 7.6.9 Dealing with Negative Numbers 26

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Lesson 7 Different Options for Solving One Equation 29

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7.6.10 Different Options for Solving One Equation 7.6.10 Different Options for Solving One Equation 30

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Lesson 8 Solving Problems 1 33

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7.6.11 Using Equations to Solve Problems 7.6.11 Using Equations to Solve Problems 34

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Lesson 9 Solving Problems 2 35

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7.6.12 Solving Problems about Percent Increase or Decrease 7.6.12 Solving Problems about Percent Increase or Decrease 36

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Lesson 10 Comparing Solutions to Equations and Inequalities 37

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7.6.13 Reintroducing Inequalities 7.6.13 Reintroducing Inequalities 38

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7.6.14 Finding Solutions to Inequalities in Context 7.6.14 Finding Solutions to Inequalities in Context 39

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Lesson 11 Inequalities with Negatives 40

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7.6.14 Material: 7.6.14 Material: 41

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7.6.15 Efficiently Solving Inequalities 7.6.15 Efficiently Solving Inequalities 42

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Lesson 12 Which Side Are the Solutions? 43

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7.6.15 Material: 7.6.15 Material: 44

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7.6.16 Interpreting Inequalities 7.6.16 Interpreting Inequalities 45

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Context Module Sub Header

Lesson 13 Solving Problems with Inequalities 46

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External Url

7.6.16 Material: 7.6.16 Material: 47

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External Url

7.6.17 Modeling with Inequalities 7.6.17 Modeling with Inequalities 48

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Context Module Sub Header

Lesson 14 Expanding and Factoring 49

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External Url

7.6.18 Subtraction in Equivalent Expressions 7.6.18 Subtraction in Equivalent Expressions 50

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External Url

7.6.19 Expanding and Factoring 7.6.19 Expanding and Factoring 51

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External Tool

How to write algebraic expressions from word problems | 6th grade | Khan Academy How to write algebraic expressions from word problems | 6th grade | Khan Academy 51

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External Tool

Variables and equations word problem: Putting them to work for Super Yoga | Algebra I | Khan Academy Variables and equations word problem: Putting them to work for Super Yoga | Algebra I | Khan Academy 52

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External Tool

Variables and equations word problem: Which Super Yoga plan is best? | Algebra I | Khan Academy Variables and equations word problem: Which Super Yoga plan is best? | Algebra I | Khan Academy 53

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External Tool

Interpreting linear expressions, 2 | Introduction to algebra | Algebra I | Khan Academy Interpreting linear expressions, 2 | Introduction to algebra | Algebra I | Khan Academy 54

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Context Module Sub Header

Lesson 15 Combining Like Terms 54

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External Url

7.6.20 Combining Like Terms (Part 1) 7.6.20 Combining Like Terms (Part 1) 55

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External Tool

Solving a more complicated equation | Linear equations | Algebra I | Khan Academy Solving a more complicated equation | Linear equations | Algebra I | Khan Academy 55

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External Url

7.6.21 Combining Like Terms (Part 2) 7.6.21 Combining Like Terms (Part 2) 56

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External Tool

Example: two-step equation with numerator x | Linear equations | Algebra I | Khan Academy Example: two-step equation with numerator x | Linear equations | Algebra I | Khan Academy 56

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External Tool

How to solve two-step equations with decimals and fractions | 7th grade | Khan academy How to solve two-step equations with decimals and fractions | 7th grade | Khan academy 57

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External Tool

Mistakes in solving equations | expressions, equations, and inequalities | 7th grade | Khan Academy Mistakes in solving equations | expressions, equations, and inequalities | 7th grade | Khan Academy 58

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External Tool

How to use the distributive property with variables | 6th grade | Khan Academy How to use the distributive property with variables | 6th grade | Khan Academy 59

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Context Module Sub Header

Lesson 16 More With Combining Like Terms 59

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External Url

7.6.21 Material: 7.6.21 Material: 60

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External Tool

Example 1: Factor a linear binomial by taking a common factor | Algebra I | Khan Academy Example 1: Factor a linear binomial by taking a common factor | Algebra I | Khan Academy 60

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External Url

7.6.22 Combining Like Terms (Part 3) 7.6.22 Combining Like Terms (Part 3) 61

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External Tool

How to simplify an expression by combining like terms and the distributive property | Khan Academy How to simplify an expression by combining like terms and the distributive property | Khan Academy 61

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External Tool

Equivalent expressions with distribution and negative numbers | 7th grade | Khan Academy Equivalent expressions with distribution and negative numbers | 7th grade | Khan Academy 62

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External Tool

Examples of simplifying expressions involving rational numbers |7th grade | Khan Academy Examples of simplifying expressions involving rational numbers |7th grade | Khan Academy 63

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Page

Unit 4 Printable Materials Unit 4 Printable Materials 63

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Unit 5: Angles, Triangles, and Prisms

Unit 5: Angles, Triangles, and Prisms Unit 5: Angles, Triangles, and Prisms

Context Module Sub Header

Lesson 1 Relationships of Angles 1

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External Url

7.7.1 Relationships of Angles 7.7.1 Relationships of Angles 2

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External Url

7.7.1.1 Visualizing Angles 7.7.1.1 Visualizing Angles 3

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External Url

7.7.1.2 Pattern Block Angles 7.7.1.2 Pattern Block Angles 4

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External Url

7.7.1.3 More Pattern Block Angles 7.7.1.3 More Pattern Block Angles 5

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External Url

7.7.2 Adjacent Angles 7.7.2 Adjacent Angles 6

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Context Module Sub Header

Lesson 2 Nonadjacent Angles 8

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External Url

7.7.3 Nonadjacent Angles 7.7.3 Nonadjacent Angles 9

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External Url

7.7.4 Solving for Unknown Angles 7.7.4 Solving for Unknown Angles 10

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Context Module Sub Header

Lesson 3 Using Equations to Solve for Unknown Angles 12

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External Url

7.7.4 Material: 7.7.4 Material: 13

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External Url

7.7.5 Using Equations to Solve for Unknown Angles 7.7.5 Using Equations to Solve for Unknown Angles 14

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External Url

7.7.6 Material: 7.7.6 Material: 15

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External Url

7.7.6.2 What Can You Build? 7.7.6.2 What Can You Build? 16

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Context Module Sub Header

Lesson 4 Building Polygons 19

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External Url

7.7.6 Building Polygons (Part 1) 7.7.6 Building Polygons (Part 1) 20

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External Url

7.7.6.3 Building Diego’s and Jada’s Shapes 7.7.6.3 Building Diego’s and Jada’s Shapes 21

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External Url

7.7.6.4 Building Han’s Shape 7.7.6.4 Building Han’s Shape 22

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External Url

7.7.7 Building Polygons (Part 2) 7.7.7 Building Polygons (Part 2) 23

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External Url

7.7.7.1 Where Is Lin? 7.7.7.1 Where Is Lin? 24

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External Url

7.7.7.2 How Long Is the Third Side? 7.7.7.2 How Long Is the Third Side? 25

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External Url

7.7.7.3 Swinging the Sides Around 7.7.7.3 Swinging the Sides Around 26

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Context Module Sub Header

Lesson 5 Triangles with 3 Common Measures 29

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External Url

7.7.8 Triangles with 3 Common Measures 7.7.8 Triangles with 3 Common Measures 30

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External Url

7.7.8.3 2 Angles and 1 Side 7.7.8.3 2 Angles and 1 Side 31

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External Url

7.7.9 Drawing Triangles (Part 1) 7.7.9 Drawing Triangles (Part 1) 32

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External Url

7.7.9.2 Does Your Triangle Match Theirs? 7.7.9.2 Does Your Triangle Match Theirs? 33

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Context Module Sub Header

Lesson 6 Drawing Triangles 34

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External Url

7.7.9 Material: 7.7.9 Material: 35

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External Url

7.7.9.3 How Many Can You Draw? 7.7.9.3 How Many Can You Draw? 36

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External Url

7.7.10 Drawing Triangles (Part 2) 7.7.10 Drawing Triangles (Part 2) 37

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External Url

7.7.10.2 Revisiting How Many Can You Draw? 7.7.10.2 Revisiting How Many Can You Draw? 38

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External Url

7.7.10.3 Three Angles 7.7.10.3 Three Angles 39

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Context Module Sub Header

Lesson 7 Volume and Decomposing Bases for Area 41

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External Url

7.7.11 Volume of Right Prisms 7.7.11 Volume of Right Prisms 42

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External Url

7.7.11.2 Finding Volume with Cubes 7.7.11.2 Finding Volume with Cubes 43

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External Url

7.7.11.3 Can You Find the Volume? 7.7.11.3 Can You Find the Volume? 44

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External Url

7.7.12 Decomposing Bases for Area 7.7.12 Decomposing Bases for Area 45

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External Tool

Angle basics | Angles and intersecting lines | Geometry | Khan Academy Angle basics | Angles and intersecting lines | Geometry | Khan Academy 46

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External Tool

Introduction to vertical angles | Angles and intersecting lines | Geometry | Khan Academy Introduction to vertical angles | Angles and intersecting lines | Geometry | Khan Academy 47

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Context Module Sub Header

Lesson 8 Surface Area of Right Prisms 47

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External Url

7.7.13 Surface Area of Right Prisms 7.7.13 Surface Area of Right Prisms 48

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External Tool

Find measure of complementary angles | Angles and intersecting lines | Geometry | Khan Academy Find measure of complementary angles | Angles and intersecting lines | Geometry | Khan Academy 48

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External Url

7.7.14 Distinguishing Volume and Surface Area 7.7.14 Distinguishing Volume and Surface Area 49

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External Tool

Find measure of supplementary angles | Angles and intersecting lines | Geometry | Khan Academy Find measure of supplementary angles | Angles and intersecting lines | Geometry | Khan Academy 49

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External Tool

Construct a triangle with constraints | Geometry | 7th grade | Khan Academy Construct a triangle with constraints | Geometry | 7th grade | Khan Academy 50

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Context Module Sub Header

Lesson 9 Distinguishing Volume and Surface Area 50

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External Url

7.7.14 Material: 7.7.14 Material: 51

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External Tool

Triangle inequality theorem | Perimeter, area, and volume | Geometry | Khan Academy Triangle inequality theorem | Perimeter, area, and volume | Geometry | Khan Academy 51

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External Url

7.7.15 Applying Volume and Surface Area 7.7.15 Applying Volume and Surface Area 52

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External Tool

Construct a right isosceles triangle | Geometry | 7th grade | Khan Academy Construct a right isosceles triangle | Geometry | 7th grade | Khan Academy 52

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External Tool

Find the volume of a triangular prism and cube | Geometry | Khan Academy Find the volume of a triangular prism and cube | Geometry | Khan Academy 53

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Page

Unit 5: Printable Materials Unit 5: Printable Materials 53

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Unit 6: Probability and Sampling

Unit 6: Probability and Sampling Unit 6: Probability and Sampling

Context Module Sub Header

Lesson 1 Chance Experiments and Probability 1

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External Url

7.8.2 Chance Experiments 7.8.2 Chance Experiments 2

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External Url

7.8.2.3 Take a Chance 7.8.2.3 Take a Chance 3

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External Url

7.8.3 What Are Probabilities? 7.8.3 What Are Probabilities? 4

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Context Module Sub Header

Lesson 2 Estimating Probabilities 7

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External Url

7.8.4 Estimating Probabilities Through Repeated Experiments 7.8.4 Estimating Probabilities Through Repeated Experiments 8

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External Url

7.8.4.2 In the Long Run 7.8.4.2 In the Long Run 9

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External Url

7.8.5 More Estimating Probabilities 7.8.5 More Estimating Probabilities 10

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External Url

7.8.5.2 Making My Head Spin 7.8.5.2 Making My Head Spin 11

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Context Module Sub Header

Lesson 3 Estimating Probabilities Using Simulation 18

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External Url

7.8.5 Material: 7.8.5 Material: 19

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External Url

7.8.6 Estimating Probabilities Using Simulation 7.8.6 Estimating Probabilities Using Simulation 20

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Context Module Sub Header

Lesson 4 Simulating Multi-step Experiments and Keeping Track of All Possible Outcomes 21

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External Url

7.8.7 Simulating Multi-step Experiments 7.8.7 Simulating Multi-step Experiments 22

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External Url

7.8.7.2 Alpine Zoom 7.8.7.2 Alpine Zoom 23

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External Url

7.8.8 Keeping Track of All Possible Outcomes 7.8.8 Keeping Track of All Possible Outcomes 24

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Context Module Sub Header

Lesson 5 Multi-step Experiments 27

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External Url

7.8.8 Material: 7.8.8 Material: 28

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External Url

7.8.9 Multi-step Experiments 7.8.9 Multi-step Experiments 29

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Context Module Sub Header

Lesson 6 Designing Simulations 32

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External Url

7.8.9 Material: 7.8.9 Material: 33

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External Url

7.8.10 Designing Simulations 7.8.10 Designing Simulations 34

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External Url

7.8.10.2 Breeding Mice 7.8.10.2 Breeding Mice 35

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Context Module Sub Header

Lesson 7 Deviation from the Mean 36

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External Url

7.8.11 Deviation from the Mean 7.8.11 Deviation from the Mean 37

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Context Module Sub Header

Lesson 8 Using Mean and MAD to Make Comparisons 38

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External Url

7.8.12 Using Mean and MAD to Make Comparisons 7.8.12 Using Mean and MAD to Make Comparisons 39

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Context Module Sub Header

Lesson 9 Quartiles and Interquartile Range and Box Plots 40

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External Url

7.8.13 Quartiles and Interquartile Range 7.8.13 Quartiles and Interquartile Range 41

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External Url

7.8.14 Using Box Plots 7.8.14 Using Box Plots 42

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Context Module Sub Header

Lesson 10 Comparing Groups 43

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External Url

7.8.15 Comparing Groups - Optional Extension 7.8.15 Comparing Groups - Optional Extension 44

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External Url

7.8.16 Larger Populations 7.8.16 Larger Populations 45

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Context Module Sub Header

Lesson 11 Larger Populations and What Makes a Good Sample? 47

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External Url

7.8.16 Material: 7.8.16 Material: 48

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External Url

7.8.17 What Makes a Good Sample? 7.8.17 What Makes a Good Sample? 49

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External Url

7.8.17.3 Sampling the Fish Market 7.8.17.3 Sampling the Fish Market 50

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Context Module Sub Header

Lesson 12 Sampling in a Fair Way 51

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External Url

7.8.18 Sampling in a Fair Way 7.8.18 Sampling in a Fair Way 52

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External Tool

Intuitive sense of probabilities | Statistics and probability | 7th grade | Khan Academy Intuitive sense of probabilities | Statistics and probability | 7th grade | Khan Academy 54

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Context Module Sub Header

Lesson 13 Estimating Population Measures of Center 54

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External Url

7.8.19 Estimating Population Measures of Center 7.8.19 Estimating Population Measures of Center 55

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External Tool

Probability explained | Independent and dependent events | Probability and Statistics | Khan Academy Probability explained | Independent and dependent events | Probability and Statistics | Khan Academy 55

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External Tool

Experimental probability | Statistics and probability | 7th grade | Khan Academy Experimental probability | Statistics and probability | 7th grade | Khan Academy 56

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Context Module Sub Header

Lesson 14 Estimating Population Proportions 56

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External Url

7.8.20 Estimating Population Proportions 7.8.20 Estimating Population Proportions 57

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External Tool

Comparing theoretical to experimental probabilites | 7th grade | Khan Academy Comparing theoretical to experimental probabilites | 7th grade | Khan Academy 57

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Context Module Sub Header

Lesson 15 Comparing Populations Using Samples 58

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External Tool

Making predictions with probability | Statistics and probability | 7th grade | Khan Academy Making predictions with probability | Statistics and probability | 7th grade | Khan Academy 58

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External Url

7.8.22 Comparing Populations Using Samples 7.8.22 Comparing Populations Using Samples 59

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External Tool

Constructing probability model from observations | 7th grade | Khan Academy Constructing probability model from observations | 7th grade | Khan Academy 59

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External Tool

Finding probability example | Probability and Statistics | Khan Academy Finding probability example | Probability and Statistics | Khan Academy 60

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Context Module Sub Header

Lesson 16 Comparing Populations With Friends 60

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External Url

7.8.23 Comparing Populations With Friends 7.8.23 Comparing Populations With Friends 61

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External Tool

Finding probability example 2 | Probability and Statistics | Khan Academy Finding probability example 2 | Probability and Statistics | Khan Academy 61

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External Url

7.8.25 Material: 7.8.25 Material: 62

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External Tool

Compound sample spaces | Statistics and probability | 7th grade | Khan Academy Compound sample spaces | Statistics and probability | 7th grade | Khan Academy 62

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External Tool

Counting pot and flower scenarios | Statistics and probability | 7th grade | Khan Academy Counting pot and flower scenarios | Statistics and probability | 7th grade | Khan Academy 63

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Lesson 17 Using Data to Solve Problems 63

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External Url

7.8.24 Using Data to Solve Problems 7.8.24 Using Data to Solve Problems 64

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Die rolling probability | Probability and combinatorics | Precalculus | Khan Academy Die rolling probability | Probability and combinatorics | Precalculus | Khan Academy 64

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.8.24.2 Math Homework (Part 1) 7.8.24.2 Math Homework (Part 1) 65

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Count outcomes using tree diagram | Statistics and probability | 7th grade | Khan Academy Count outcomes using tree diagram | Statistics and probability | 7th grade | Khan Academy 65

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

7.8.24.3 Math Homework (Part 2) 7.8.24.3 Math Homework (Part 2) 66

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External Tool

Comparing distributions with dot plots (example problem) | 7th grade | Khan Academy Comparing distributions with dot plots (example problem) | 7th grade | Khan Academy 66

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External Tool

Reasonable samples | Statistical studies | Probability and Statistics | Khan Academy Reasonable samples | Statistical studies | Probability and Statistics | Khan Academy 67

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Page

Unit 6: Printable Materials Unit 6: Printable Materials 67

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Unit 7: Rigid Transformations and Congruence

Unit 7: Rigid Transformations and Congruence Unit 7: Rigid Transformations and Congruence

Context Module Sub Header

Lesson 1 Moving in the Plane 1

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External Url

8.1.1 Moving in the Plane 8.1.1 Moving in the Plane 2

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External Url

8.1.1.2 Triangle Square Dance 8.1.1.2 Triangle Square Dance 3

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External Url

8.1.2 Naming the Moves 8.1.2 Naming the Moves 4

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External Url

8.1.2.3 Move Card Sort 8.1.2.3 Move Card Sort 5

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Context Module Sub Header

Lesson 2 Making Grid Moves 6

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External Url

8.1.3 Grid Moves 8.1.3 Grid Moves 7

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External Url

8.1.3.2 Transformation Information 8.1.3.2 Transformation Information 8

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External Url

8.1.4 Making the Moves 8.1.4 Making the Moves 9

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External Url

8.1.4.1 Reflection Quick Image 8.1.4.1 Reflection Quick Image 10

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External Url

8.1.4.2 Make That Move 8.1.4.2 Make That Move 11

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Context Module Sub Header

Lesson 3 Making Coordinate Moves 12

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External Url

8.1.4.3 A to B to C 8.1.4.3 A to B to C 13

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External Url

8.1.5 Coordinate Moves 8.1.5 Coordinate Moves 14

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External Url

8.1.5.2 (NC)Reflecting Points on the Coordinate Plane 8.1.5.2 (NC)Reflecting Points on the Coordinate Plane 15

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External Url

8.1.5.3 (NC)Transformations of a Segment - Optional Extension 8.1.5.3 (NC)Transformations of a Segment - Optional Extension 16

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Context Module Sub Header

Lesson 4 No Bending or Stretching 19

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External Url

8.1.6 Describing Transformations 8.1.6 Describing Transformations 20

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External Url

8.1.7 No Bending or Stretching 8.1.7 No Bending or Stretching 21

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External Url

8.1.7.2 Sides and Angles 8.1.7.2 Sides and Angles 22

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External Url

8.1.7.3 Which One? 8.1.7.3 Which One? 23

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Context Module Sub Header

Lesson 5 Rotation Patterns and Moves in Parallel 27

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External Url

8.1.8 Rotation Patterns 8.1.8 Rotation Patterns 28

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External Url

8.1.8.2 Rotating a Segment 8.1.8.2 Rotating a Segment 29

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External Url

8.1.8.3 A Pattern of Four Triangles 8.1.8.3 A Pattern of Four Triangles 30

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External Url

8.1.9 Moves in Parallel 8.1.9 Moves in Parallel 31

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Context Module Sub Header

Lesson 6 Moves in Parallel and Composing Figures 32

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External Url

8.1.9 Material: 8.1.9 Material: 33

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External Url

8.1.10 Composing Figures 8.1.10 Composing Figures 34

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Context Module Sub Header

Lesson 7 What is the Same? 35

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External Url

8.1.10 Material: 8.1.10 Material: 36

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External Url

8.1.11 What Is the Same? 8.1.11 What Is the Same? 37

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Context Module Sub Header

Lesson 8 Congruent Polygons 38

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External Url

8.1.12 Congruent Polygons 8.1.12 Congruent Polygons 39

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Context Module Sub Header

Lesson 9 Congruence 42

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External Url

8.1.13 Congruence 8.1.13 Congruence 43

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Context Module Sub Header

Lesson 10 Alternate Interior Angles 44

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External Url

8.1.14 Alternate Interior Angles 8.1.14 Alternate Interior Angles 45

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Context Module Sub Header

Lesson 11 Adding the Angles in a Triangle 47

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External Tool

Reflecting points across horizontal and vertical lines Reflecting points across horizontal and vertical lines 47

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External Url

8.1.15 Adding the Angles in a Triangle 8.1.15 Adding the Angles in a Triangle 48

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External Tool

Example reflecting quadrilateral over x axis Example reflecting quadrilateral over x axis 48

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External Url

8.1.16 Material: 8.1.16 Material: 49

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External Tool

Introduction to transformations | Transformations | Geometry | Khan Academy Introduction to transformations | Transformations | Geometry | Khan Academy 49

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External Url

8.1.16.2 Angle Plus Two 8.1.16.2 Angle Plus Two 50

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External Tool

Finding measures using rigid transformations Finding measures using rigid transformations 50

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Context Module Sub Header

Lesson 12 Parallel Lines and the Angles in a Triangle 51

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External Tool

Properties perserved after rigid transformations Properties perserved after rigid transformations 51

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External Url

8.1.16 Parallel Lines and the Angles in a Triangle 8.1.16 Parallel Lines and the Angles in a Triangle 52

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External Tool

Testing congruence by transformations example | Congruence | Geometry | Khan Academy Testing congruence by transformations example | Congruence | Geometry | Khan Academy 52

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External Url

8.1.17 Rotate and Tessellate 8.1.17 Rotate and Tessellate 53

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External Tool

Another congruence by transformation example | Congruence | Geometry | Khan Academy Another congruence by transformation example | Congruence | Geometry | Khan Academy 53

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External Tool

Figuring out angles between transversal and parallel lines | Geometry | Khan Academy Figuring out angles between transversal and parallel lines | Geometry | Khan Academy 54

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External Tool

Proof: Sum of measures of angles in a triangle are 180 | Geometry | Khan Academy Proof: Sum of measures of angles in a triangle are 180 | Geometry | Khan Academy 55

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External Tool

Triangle angle example 1 | Angles and intersecting lines | Geometry | Khan Academy Triangle angle example 1 | Angles and intersecting lines | Geometry | Khan Academy 56

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External Tool

Triangle angle example 2 | Angles and intersecting lines | Geometry | Khan Academy Triangle angle example 2 | Angles and intersecting lines | Geometry | Khan Academy 57

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Page

Unit 7: Printable Materials Unit 7: Printable Materials 57

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Unit 8: Dilations, Similarity, and Introducing Slope

Unit 8: Dilations, Similarity, and Introducing Slope Unit 8: Dilations, Similarity, and Introducing Slope

Context Module Sub Header

Lesson 1 Projecting, Scaling, and Circular Grid 1

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External Url

8.2.1 Projecting and Scaling 8.2.1 Projecting and Scaling 2

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External Url

8.2.2 Circular Grid 8.2.2 Circular Grid 3

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External Url

8.2.2.2 A Droplet on the Surface 8.2.2.2 A Droplet on the Surface 4

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External Url

8.2.2.3 Quadrilateral on a Circular Grid 8.2.2.3 Quadrilateral on a Circular Grid 5

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External Url

8.2.2.4 A Quadrilateral and Concentric Circles 8.2.2.4 A Quadrilateral and Concentric Circles 6

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Context Module Sub Header

Lesson 2 Dilations 7

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External Url

8.2.3 Dilations with no Grid 8.2.3 Dilations with no Grid 8

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External Url

8.2.3.2 Dilation Obstacle Course 8.2.3.2 Dilation Obstacle Course 9

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External Url

8.2.3.3 Getting Perspective 8.2.3.3 Getting Perspective 10

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External Url

8.2.4 Dilations on a Square Grid 8.2.4 Dilations on a Square Grid 11

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Context Module Sub Header

Lesson 3 Dilations and Similarity 16

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External Url

8.2.5 More Dilations 8.2.5 More Dilations 17

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External Url

8.2.5.1 Many Dilations of a Triangle 8.2.5.1 Many Dilations of a Triangle 18

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Context Module Sub Header

Lesson 4 Similar Polygons 20

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External Url

8.2.6 Similarity 8.2.6 Similarity 21

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External Url

8.2.6.2 Similarity Transformations (Part 1) 8.2.6.2 Similarity Transformations (Part 1) 22

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External Url

8.2.7 Material: 8.2.7 Material: 23

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Context Module Sub Header

Lesson 5 Similar Polygons and Triangles 26

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External Url

8.2.7 Similar Polygons 8.2.7 Similar Polygons 27

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External Url

8.2.8 Similar Triangles 8.2.8 Similar Triangles 28

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Context Module Sub Header

Lesson 6 Side Length Quotients in Similar Triangles 29

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External Url

8.2.9 Side Length Quotients in Similar Triangles 8.2.9 Side Length Quotients in Similar Triangles 30

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Context Module Sub Header

Lesson 7 Meet Slope 32

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External Url

8.2.10 Meet Slope 8.2.10 Meet Slope 33

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8.2.10.3 Multiple Lines with the Same Slope 8.2.10.3 Multiple Lines with the Same Slope 34

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Transformations - dilation Transformations - dilation 34

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Dilating points example Dilating points example 35

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Lesson 8 Writing Equations for Lines 36

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Thinking about dilations | Transformations | Geometry | Khan Academy Thinking about dilations | Transformations | Geometry | Khan Academy 36

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8.2.11 Writing Equations for Lines 8.2.11 Writing Equations for Lines 37

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Scaling down a triangle by half | Transformations | Geometry | Khan Academy Scaling down a triangle by half | Transformations | Geometry | Khan Academy 37

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Lesson 9 Using Equations for Lines 38

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Testing similarity through transformations | Similarity | Geometry | Khan Academy Testing similarity through transformations | Similarity | Geometry | Khan Academy 38

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8.2.12 Using Equations for Lines 8.2.12 Using Equations for Lines 39

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Dilation scale factor examples Dilation scale factor examples 39

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Dilations and shape properties Dilations and shape properties 40

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Lesson 10 The Shadow Knows 40

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8.2.13 The Shadow Knows 8.2.13 The Shadow Knows 41

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Comparing side lengths after dilation | Transformations | Geometry | Khan Academy Comparing side lengths after dilation | Transformations | Geometry | Khan Academy 41

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Introduction to slope | Algebra I | Khan Academy Introduction to slope | Algebra I | Khan Academy 42

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Page

Unit 8: Printable Materials Unit 8: Printable Materials 42

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Unit 9: Linear Relationships

Unit 9: Linear Relationships Unit 9: Linear Relationships

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Lesson 1 Introduction to Linear Relationships 1

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8.3.1 Introduction to Linear Relationships* 8.3.1 Introduction to Linear Relationships* 2

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Lesson 2 More Linear Relationships 3

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8.3.2 More Linear Relationships* 8.3.2 More Linear Relationships* 4

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8.3.3 Representations of Linear Relationships* 8.3.3 Representations of Linear Relationships* 5

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Lesson 3 Translating to y = mx + b 6

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8.3.3 Material: 8.3.3 Material: 7

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8.3.3.2 Rising Water Levels 8.3.3.2 Rising Water Levels 8

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8.3.4 Lesson 4: Translating to y = mx + b* 8.3.4 Lesson 4: Translating to y = mx + b* 9

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8.3.4.2 Increased Savings 8.3.4.2 Increased Savings 10

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8.3.4.3 Translating a Line 8.3.4.3 Translating a Line 11

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Lesson 4 Slopes Don't Have to be Positive 13

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8.3.5 Slopes Don't Have to be Positive* 8.3.5 Slopes Don't Have to be Positive* 14

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8.3.5.2 Stand Clear of the Closing Doors, Please 8.3.5.2 Stand Clear of the Closing Doors, Please 15

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8.3.5.3 Travel Habits in July 8.3.5.3 Travel Habits in July 16

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Lesson 5 Equations of All Kinds of Lines 20

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8.3.6 Calculating Slope* 8.3.6 Calculating Slope* 21

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8.3.7 Equations of All Kinds of Lines* 8.3.7 Equations of All Kinds of Lines* 22

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8.3.7.2 All the Same 8.3.7.2 All the Same 23

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8.3.7.3 Same Perimeter 8.3.7.3 Same Perimeter 24

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Lesson 6 Solutions to Linear Equations 26

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8.3.8 Solutions to Linear Equations* 8.3.8 Solutions to Linear Equations* 27

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8.3.9 More Solutions to Linear Equations* 8.3.9 More Solutions to Linear Equations* 28

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External Tool

Graph from slope-intercept equation example | Algebra I | Khan Academy Graph from slope-intercept equation example | Algebra I | Khan Academy 28

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Introduction to intercepts | Algebra I | Khan Academy Introduction to intercepts | Algebra I | Khan Academy 29

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Slope-intercept equation from slope and point | Algebra I | Khan Academy Slope-intercept equation from slope and point | Algebra I | Khan Academy 30

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Lesson 7 Using Linear Relations to Solve Problems 31

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Linear and nonlinear functions (example 2) | 8th grade | Khan Academy Linear and nonlinear functions (example 2) | 8th grade | Khan Academy 31

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8.3.9 Material: 8.3.9 Material: 32

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Converting linear equations to slope-intercept form | 8th grade | Khan Academy Converting linear equations to slope-intercept form | 8th grade | Khan Academy 32

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8.3.10 Using Linear Relations to Solve Problems* 8.3.10 Using Linear Relations to Solve Problems* 33

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External Tool

Checking ordered pair solutions to equations example 1 | Algebra I | Khan Academy Checking ordered pair solutions to equations example 1 | Algebra I | Khan Academy 33

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External Tool

Checking ordered pair solutions to equations example 2 | Algebra I | Khan Academy Checking ordered pair solutions to equations example 2 | Algebra I | Khan Academy 34

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Page

Unit 9: Printable Materials Unit 9: Printable Materials 34

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Unit 10: Linear Equations and Linear Systems

Unit 10: Linear Equations and Linear Systems Unit 10: Linear Equations and Linear Systems

Context Module Sub Header

Lesson 1 Balanced Equations 1

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External Url

8.4.2 Keeping the Equation Balanced 8.4.2 Keeping the Equation Balanced 2

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8.4.2.2 Hanging Blocks 8.4.2.2 Hanging Blocks 3

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External Url

8.4.2.3 More Hanging Blocks 8.4.2.3 More Hanging Blocks 4

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External Url

8.4.3 Balanced Moves 8.4.3 Balanced Moves 5

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Context Module Sub Header

Lesson 2 More Balanced Moves 8

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External Url

8.4.4 More Balanced Moves 8.4.4 More Balanced Moves 9

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External Url

8.4.5 Material: 8.4.5 Material: 10

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Context Module Sub Header

Lesson 3 Solving Linear Equations 12

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External Url

8.4.5 Solving Any Linear Equation 8.4.5 Solving Any Linear Equation 13

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External Url

8.4.6 Strategic Solving 8.4.6 Strategic Solving 14

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Context Module Sub Header

Lesson 4 What’s the Number of Solutions? 15

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External Url

8.4.7 All, Some, or No Solutions 8.4.7 All, Some, or No Solutions 16

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External Url

8.4.8 How Many Solutions? 8.4.8 How Many Solutions? 17

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External Url

8.4.9 When Are They the Same? 8.4.9 When Are They the Same? 18

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Context Module Sub Header

Lesson 5 On the Line, Off the Line, or on Both Lines 21

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External Url

8.4.10 On or Off the Line? 8.4.10 On or Off the Line? 22

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External Url

8.4.11 On Both of the Lines 8.4.11 On Both of the Lines 23

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Context Module Sub Header

Lesson 6 Solving Systems of Equations 24

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External Url

8.4.12 Systems of Equations 8.4.12 Systems of Equations 25

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External Url

8.4.12.2 Passing on the Trail 8.4.12.2 Passing on the Trail 26

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External Url

8.4.12.3 Stacks of Cups 8.4.12.3 Stacks of Cups 27

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External Url

8.4.13 Solving Systems of Equations 8.4.13 Solving Systems of Equations 28

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External Url

8.4.13.2 Matching Graphs to Systems 8.4.13.2 Matching Graphs to Systems 29

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External Url

8.4.13.3 Different Types of Systems 8.4.13.3 Different Types of Systems 30

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External Tool

Introduction to solving an equation with variables on both sides | Algebra I | Khan Academy Introduction to solving an equation with variables on both sides | Algebra I | Khan Academy 33

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Context Module Sub Header

Lesson 7 Solving and Writing Systems of Equations 33

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External Url

8.4.14 Solving More Systems 8.4.14 Solving More Systems 34

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External Tool

Example 2: Variables on both sides | Linear equations | Algebra I | Khan Academy Example 2: Variables on both sides | Linear equations | Algebra I | Khan Academy 34

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External Url

8.4.15 Writing Systems of Equations 8.4.15 Writing Systems of Equations 35

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External Tool

Solving equations with the distributive property | Linear equations | Algebra I | Khan Academy Solving equations with the distributive property | Linear equations | Algebra I | Khan Academy 35

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External Tool

Number of solutions to linear equations | Linear equations | Algebra I | Khan Academy Number of solutions to linear equations | Linear equations | Algebra I | Khan Academy 36

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External Tool

Equation special cases | Linear equations | Algebra I | Khan Academy Equation special cases | Linear equations | Algebra I | Khan Academy 37

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External Tool

Analyzing solutions to linear systems algebraically | Algebra I | Khan Academy Analyzing solutions to linear systems algebraically | Algebra I | Khan Academy 38

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External Tool

Analyzing solutions to linear systems graphically 2 | Algebra II | Khan Academy Analyzing solutions to linear systems graphically 2 | Algebra II | Khan Academy 39

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Context Module Sub Header

Lesson 8 Solving Problems with Systems 39

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External Url

8.4.15 Material: 8.4.15 Material: 40

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External Tool

The substitution method | Systems of equations | 8th grade | Khan Academy The substitution method | Systems of equations | 8th grade | Khan Academy 40

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External Url

8.4.16 Solving Problems with Systems of Equations 8.4.16 Solving Problems with Systems of Equations 41

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Example 2: Solving systems by substitution | Systems of equations | 8th grade | Khan Academy Example 2: Solving systems by substitution | Systems of equations | 8th grade | Khan Academy 41

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External Tool

Substitution method 2 | Systems of equations | 8th grade | Khan Academy Substitution method 2 | Systems of equations | 8th grade | Khan Academy 42

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External Tool

System of equations word problem: no solution | Mathematics I | High School Math | Khan Academy System of equations word problem: no solution | Mathematics I | High School Math | Khan Academy 43

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External Tool

Systems of equations word problems example 3 | Algebra I | Khan Academy Systems of equations word problems example 3 | Algebra I | Khan Academy 44

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Page

Unit 10: Printable Materials Unit 10: Printable Materials 44

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Unit 11: Functions and Volume

Unit 11: Functions and Volume Unit 11: Functions and Volume

Context Module Sub Header

Lesson 1 Inputs, Outputs and Functions 1

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External Url

8.5.1 Inputs and Outputs 8.5.1 Inputs and Outputs 2

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External Url

8.5.1.2 Guess My Rule 8.5.1.2 Guess My Rule 3

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External Url

8.5.2 Introduction to Functions 8.5.2 Introduction to Functions 4

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Context Module Sub Header

Lesson 2 Tables, Equations and Graphs of Functions 5

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External Url

8.5.3 Equations for Functions 8.5.3 Equations for Functions 6

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External Url

8.5.4 Tables, Equations, and Graphs of Functions 8.5.4 Tables, Equations, and Graphs of Functions 7

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Context Module Sub Header

Lesson 3 More Graphs of Functions 9

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External Url

8.5.5 More Graphs of Functions 8.5.5 More Graphs of Functions 10

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External Url

8.5.6 Even More Graphs of Functions 8.5.6 Even More Graphs of Functions 11

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Context Module Sub Header

Lesson 4 Connecting Representations of Functions 13

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External Url

8.5.6 Material: 8.5.6 Material: 14

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External Url

8.5.6.3 Sketching a Story about a Boy and a Bike 8.5.6.3 Sketching a Story about a Boy and a Bike 15

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External Url

8.5.7 Connecting Representations of Functions 8.5.7 Connecting Representations of Functions 16

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External Url

8.5.7.3 Comparing Volumes 8.5.7.3 Comparing Volumes 17

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Context Module Sub Header

Lesson 5 Linear Functions 18

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External Url

8.5.8 Linear Functions 8.5.8 Linear Functions 19

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External Url

8.5.9.1 Candlelight 8.5.9.1 Candlelight 20

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Context Module Sub Header

Lesson 6 Linear Models and Piecewise Linear Functions 28

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External Url

8.5.9 Linear Models 8.5.9 Linear Models 29

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External Url

8.5.9.2 Shadows 8.5.9.2 Shadows 30

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External Url

8.5.10 Piecewise Linear Functions 8.5.10 Piecewise Linear Functions 31

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Context Module Sub Header

Lesson 7 Filling Containers 32

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External Url

8.5.11 Filling containers 8.5.11 Filling containers 33

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External Url

8.5.11.2 Height and Volume 8.5.11.2 Height and Volume 34

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External Url

8.5.12 How Much Will Fit? 8.5.12 How Much Will Fit? 35

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Context Module Sub Header

Lesson 8 Finding Cylinder Dimensions and Volume 36

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External Url

8.5.13 The Volume of a Cylinder 8.5.13 The Volume of a Cylinder 37

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External Url

8.5.14 Finding Cylinder Dimensions 8.5.14 Finding Cylinder Dimensions 38

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Context Module Sub Header

Lesson 9 Volume and Cone Dimensions 40

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External Url

8.5.15 The Volume of a Cone 8.5.15 The Volume of a Cone 41

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External Url

8.5.16 Finding Cone Dimensions 8.5.16 Finding Cone Dimensions 42

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Context Module Sub Header

Lesson 10 Scaling One and Two Dimensions 43

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External Url

8.5.17 Scaling One Dimension 8.5.17 Scaling One Dimension 44

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External Url

8.5.17.2 Double the Edge 8.5.17.2 Double the Edge 45

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8.5.17.3 Halve the Height 8.5.17.3 Halve the Height 46

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External Tool

Linear function example: spending money | Linear equations and functions | 8th grade | Khan Academy Linear function example: spending money | Linear equations and functions | 8th grade | Khan Academy 46

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External Url

8.5.18 Scaling Two Dimensions 8.5.18 Scaling Two Dimensions 47

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External Tool

Interpreting a graph exercise example | Linear equations and functions | 8th grade | Khan Academy Interpreting a graph exercise example | Linear equations and functions | 8th grade | Khan Academy 47

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External Url

8.5.18.3 Playing with Cones 8.5.18.3 Playing with Cones 48

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External Tool

Interpreting linear graphs word problems example 2 | Algebra I | Khan Academy Interpreting linear graphs word problems example 2 | Algebra I | Khan Academy 48

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External Tool

Interpreting linear tables word problems example 1 | Algebra I | Khan Academy Interpreting linear tables word problems example 1 | Algebra I | Khan Academy 49

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Context Module Sub Header

Lesson 11 The Volume of a Sphere 50

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External Tool

Modeling with linear equations example 1 | Linear equations and functions | 8th grade | Khan Academy Modeling with linear equations example 1 | Linear equations and functions | 8th grade | Khan Academy 50

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External Url

8.5.19 Estimating a Hemisphere 8.5.19 Estimating a Hemisphere 51

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External Tool

Comparing linear functions word problems 1 | Algebra I | Khan Academy Comparing linear functions word problems 1 | Algebra I | Khan Academy 51

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External Url

8.5.20 The Volume of a Sphere 8.5.20 The Volume of a Sphere 52

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External Tool

Graphing linear functions example 1 | Algebra I | Khan Academy Graphing linear functions example 1 | Algebra I | Khan Academy 52

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External Tool

Comparing linear functions word problems 3 | Algebra I | Khan Academy Comparing linear functions word problems 3 | Algebra I | Khan Academy 53

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External Tool

Graphing linear functions example 2 | Algebra I | Khan Academy Graphing linear functions example 2 | Algebra I | Khan Academy 54

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Context Module Sub Header

Lesson 12 Cylinders, Cones, and Spheres 54

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External Url

8.5.21 Cylinders, Cones, and Spheres 8.5.21 Cylinders, Cones, and Spheres 55

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External Tool

Cylinder volume and surface area | Perimeter, area, and volume | Geometry | Khan Academy Cylinder volume and surface area | Perimeter, area, and volume | Geometry | Khan Academy 55

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External Url

8.5.22 Volume As a Function of 8.5.22 Volume As a Function of 56

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External Tool

How volume changes from changing dimensions How volume changes from changing dimensions 56

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Page

Unit 11: Printable Materials Unit 11: Printable Materials 57

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External Tool

Volume of a sphere | Perimeter, area, and volume | Geometry | Khan Academy Volume of a sphere | Perimeter, area, and volume | Geometry | Khan Academy 57

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Unit 12: Exponents and Scientific Notation

Unit 12: Exponents and Scientific Notation Unit 12: Exponents and Scientific Notation

Context Module Sub Header

Lesson 1 Exponent Review and Multiplying by Powers of Ten 1

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External Url

8.7.1 Exponent Review 8.7.1 Exponent Review 2

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External Url

8.7.1.2 Return of the Djinni 8.7.1.2 Return of the Djinni 3

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External Url

8.7.1.3 Broken Coin 8.7.1.3 Broken Coin 4

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External Url

8.7.2 Multiplying Powers of Ten 8.7.2 Multiplying Powers of Ten 5

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Context Module Sub Header

Lesson 2 Powers of Powers and Dividing by Powers of 10 6

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External Url

8.7.3 Powers of Powers of 10 8.7.3 Powers of Powers of 10 7

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External Url

8.7.4 Dividing Powers of 10 8.7.4 Dividing Powers of 10 8

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Context Module Sub Header

Lesson 3 Negative Exponents with Powers of Ten and Other Bases 10

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External Url

8.7.5 Negative Exponents with Powers of 10 8.7.5 Negative Exponents with Powers of 10 11

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External Url

8.7.6 What about Other Bases? 8.7.6 What about Other Bases? 12

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Context Module Sub Header

Lesson 4 Rational Bases and Combining Bases 17

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External Url

8.7.7 Practice with Rational Bases 8.7.7 Practice with Rational Bases 18

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External Url

8.7.8 Combining Bases 8.7.8 Combining Bases 19

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Context Module Sub Header

Lesson 5 Representing Large Numbers on the Number Line 21

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External Url

8.7.9 Describing Large and Small Numbers Using Powers of 10 8.7.9 Describing Large and Small Numbers Using Powers of 10 22

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External Url

8.7.10 Representing Large Numbers on the Number Line 8.7.10 Representing Large Numbers on the Number Line 23

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External Url

8.7.10.2 Comparing Large Numbers with a Number Line 8.7.10.2 Comparing Large Numbers with a Number Line 24

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External Url

8.7.10.3 The Speeds of Light 8.7.10.3 The Speeds of Light 25

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Context Module Sub Header

Lesson 6 Representing Small Numbers on the Number Line 26

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External Url

8.7.11 Representing Small Numbers on the Number Line 8.7.11 Representing Small Numbers on the Number Line 27

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Context Module Sub Header

Lesson 7 Applications of Powers of 10 and Defining Scientific Notation 28

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External Url

8.7.12 Applications of Arithmetic with Powers of 10 8.7.12 Applications of Arithmetic with Powers of 10 29

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External Url

8.7.13 Definition of Scientific Notation 8.7.13 Definition of Scientific Notation 30

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External Tool

Raising a number to the 0 and 1st power | Pre-Algebra | Khan Academy Raising a number to the 0 and 1st power | Pre-Algebra | Khan Academy 32

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External Tool

Exponent properties involving products | Numbers and operations | 8th grade | Khan Academy Exponent properties involving products | Numbers and operations | 8th grade | Khan Academy 33

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External Tool

Exponent properties involving quotients (examples) | 8th grade | Khan Academy Exponent properties involving quotients (examples) | 8th grade | Khan Academy 34

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Context Module Sub Header

Lesson 8 Multiplying, Dividing, and Estimating with Scientific Notation 35

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External Tool

Negative exponent intuition | Pre-Algebra | Khan Academy Negative exponent intuition | Pre-Algebra | Khan Academy 35

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External Url

8.7.14 Multiplying, Dividing, and Estimating with Scientific Notation 8.7.14 Multiplying, Dividing, and Estimating with Scientific Notation 36

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External Tool

Multiplying & dividing powers (integer exponents) | Mathematics I | High School Math | Khan Academy Multiplying & dividing powers (integer exponents) | Mathematics I | High School Math | Khan Academy 36

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External Url

8.7.14.3 Distances in the Solar System 8.7.14.3 Distances in the Solar System 37

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External Tool

Products and exponents raised to an exponent properties | Algebra I | Khan Academy Products and exponents raised to an exponent properties | Algebra I | Khan Academy 37

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External Tool

Multiplying multiples of powers of 10 | Numbers and operations | 8th grade | Khan Academy Multiplying multiples of powers of 10 | Numbers and operations | 8th grade | Khan Academy 38

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External Tool

Approximating with powers of 10 | Numbers and operations | 8th grade | Khan Academy Approximating with powers of 10 | Numbers and operations | 8th grade | Khan Academy 39

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External Tool

Express a small number in scientific notation (example) | Pre-Algebra | Khan Academy Express a small number in scientific notation (example) | Pre-Algebra | Khan Academy 40

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Context Module Sub Header

Lesson 9 Adding and Subtracting with Scientific Notation and Putting it all Together 41

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External Tool

Scientific notation examples | Pre-Algebra | Khan Academy Scientific notation examples | Pre-Algebra | Khan Academy 41

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External Url

8.7.15 Adding and Subtracting with Scientific Notation 8.7.15 Adding and Subtracting with Scientific Notation 42

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External Tool

Multiplying in scientific notation (example) | Pre-Algebra | Khan Academy Multiplying in scientific notation (example) | Pre-Algebra | Khan Academy 42

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External Url

8.7.16 Is a Smartphone Smart Enough to Go to the Moon? 8.7.16 Is a Smartphone Smart Enough to Go to the Moon? 43

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External Tool

Multiplying and dividing in scientific notation (example) | Pre-Algebra | Khan Academy Multiplying and dividing in scientific notation (example) | Pre-Algebra | Khan Academy 43

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External Tool

U.S. national debt (scientific notation word problem) | Pre-Algebra | Khan Academy U.S. national debt (scientific notation word problem) | Pre-Algebra | Khan Academy 44

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Page

Unit 12: Printable Materials Unit 12: Printable Materials 44

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Unit 13: Putting it All Together

Unit 13: Putting it All Together Unit 13: Putting it All Together

External Url

7.9.1 Planning Recipes 7.9.1 Planning Recipes 1

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External Url

7.9.2 Costs of Running a Restaurant 7.9.2 Costs of Running a Restaurant 2

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External Url

7.9.3 More Costs of Running a Restaurant 7.9.3 More Costs of Running a Restaurant 3

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External Url

7.9.4 Restaurant Floor Plan 7.9.4 Restaurant Floor Plan 4

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External Url

7.9.5 How Crowded Is this Neighborhood? 7.9.5 How Crowded Is this Neighborhood? 5

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External Url

7.9.5.2 Dot Density with a Twist 7.9.5.2 Dot Density with a Twist 6

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External Url

7.9.6 Fermi Problems 7.9.6 Fermi Problems 7

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External Url

7.9.7 More Expressions and Equations 7.9.7 More Expressions and Equations 8

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External Url

7.9.8 Measurement Error (Part 1) 7.9.8 Measurement Error (Part 1) 9

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External Url

7.9.9 Measurement Error (Part 2) 7.9.9 Measurement Error (Part 2) 10

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External Url

7.9.10 Measuring Long Distances Over Uneven Terrain 7.9.10 Measuring Long Distances Over Uneven Terrain 11

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External Url

7.9.11 Building a Trundle Wheel 7.9.11 Building a Trundle Wheel 12

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External Url

7.9.12 Using a Trundle Wheel to Measure Distances 7.9.12 Using a Trundle Wheel to Measure Distances 13

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External Url

7.9.12.1 Measuring Distances with the Trundle Wheel 7.9.12.1 Measuring Distances with the Trundle Wheel 14

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External Url

7.9.13 Designing a 5K Course 7.9.13 Designing a 5K Course 15

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Page

Unit 13: Printable Materials Unit 13: Printable Materials 16

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This course content is offered under a CC Attribution Non-Commercial license. Content in this course can be considered under this license unless otherwise noted.

Course Modules

Unit 1: Scale Drawings

Lesson 1 Corresponding Part and Scale Factors in Scaled Copies 1

Lesson 2 Making Scaled Copies 11

Lesson 3 The Size of the Scale Factor 16

Lesson 4 Scaling and Area 19

Lesson 5 Scale Drawings and Maps 24

Lesson 6 Changing Scales in Scale Drawings 28

Lesson 7 Scales Without Units 32

Lesson 8 Units in Scale Drawings 35

Unit 2: Introducing Proportional Relationships

Lesson 1 Representing Proportional Relationships with Tables 1

Lesson 2 Constant of Proportionality 3

Lesson 3 Two Equations for Each Relationship 6

Lesson 4 Using Equations to Solve Problems 10

Lesson 5 Comparing Relationships with Tables 13

Lesson 6 Comparing Relationships with Equations 20

Lesson 7 Solving Problems About Proportional Relationships 23

Lesson 8 Interpreting Graphs of Proportional Relationships 26

Lesson 9 Comparing Relationships with Graphs 34

Lesson 10 Two Graphs for Each Relationship 39

Lesson 11 Understanding and Graphing Proportional Relationships 43

Lesson 12 Representing Proportional Relationships 46

Lesson 13 Comparing Proportional Relationships 49

Unit 3: Rational Number Arithmetic

Lesson 1 Changing Temperatures and Elevations 1

Lesson 2 Money and Debts 11

Lesson 3 Subtracting Rational Numbers 14

Lesson 4 Adding and Subtracting to Solve Problems 18

Lesson 5 Position, Speed, and Direction 24

Lesson 6 Multiplying Rational Numbers 26

Lesson 7 Dividing Rational Numbers 33

Lesson 8 Negative Rates 38

Lesson 9 Expressions with Rational Numbers 41

Lesson 10 Solving Problems with Rational Numbers 48

Lesson 11 Solving Equations with Rational Numbers 52

Lesson 12 Representing Contexts with Equations 55

Unit 4: Expressions, Equations, and Inequalities

Lesson 1 Reasoning About Contexts with Tape Diagrams 1

Lesson 2 Reasoning About Equations and Tape Diagrams 4

Lesson 3 Representing Situations with Tape Diagrams and Equations 10

Lesson 4 Distinguishing Between Two Types of Situations 15

Lesson 5 Reasoning About Solving Equations With Balanced Hangers 22

Lesson 6 Dealing With Negative Numbers in Equations 25

Lesson 7 Different Options for Solving One Equation 29

Lesson 8 Solving Problems 1 33

Lesson 9 Solving Problems 2 35

Lesson 10 Comparing Solutions to Equations and Inequalities 37

Lesson 11 Inequalities with Negatives 40

Lesson 12 Which Side Are the Solutions? 43

Lesson 13 Solving Problems with Inequalities 46

Lesson 14 Expanding and Factoring 49

Lesson 15 Combining Like Terms 54

Lesson 16 More With Combining Like Terms 59

Unit 5: Angles, Triangles, and Prisms

Lesson 1 Relationships of Angles 1

Lesson 2 Nonadjacent Angles 8

Lesson 3 Using Equations to Solve for Unknown Angles 12

Lesson 4 Building Polygons 19

Lesson 5 Triangles with 3 Common Measures 29

Lesson 6 Drawing Triangles 34

Lesson 7 Volume and Decomposing Bases for Area 41

Lesson 8 Surface Area of Right Prisms 47

Lesson 9 Distinguishing Volume and Surface Area 50

Unit 6: Probability and Sampling

Lesson 1 Chance Experiments and Probability 1

Lesson 2 Estimating Probabilities 7

Lesson 3 Estimating Probabilities Using Simulation 18

Lesson 4 Simulating Multi-step Experiments and Keeping Track of All Possible Outcomes 21

Lesson 5 Multi-step Experiments 27

Lesson 6 Designing Simulations 32

Lesson 7 Deviation from the Mean 36

Lesson 8 Using Mean and MAD to Make Comparisons 38

Lesson 9 Quartiles and Interquartile Range and Box Plots 40

Lesson 10 Comparing Groups 43

Lesson 11 Larger Populations and What Makes a Good Sample? 47

Lesson 12 Sampling in a Fair Way 51

Lesson 13 Estimating Population Measures of Center 54

Lesson 14 Estimating Population Proportions 56

Lesson 15 Comparing Populations Using Samples 58