Course Modules

7.1 Scale Drawings

7.1 Scale Drawings 7.1 Scale Drawings

External Url

7.1.1 What are Scaled Copies? 7.1.1 What are Scaled Copies? 1

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External Url

7.1.1.1 - Printing Portraits 7.1.1.1 - Printing Portraits 2

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External Url

7.1.1.2 - Scaling F 7.1.1.2 - Scaling F 3

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External Url

7.1.1.3 - Pairs of Scaled Polygons 7.1.1.3 - Pairs of Scaled Polygons 4

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External Url

7.1.2 - Corresponding Parts and Scale Factors 7.1.2 - Corresponding Parts and Scale Factors 6

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External Url

7.1.2.2 - Corresponding Parts 7.1.2.2 - Corresponding Parts 7

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External Url

7.1.3 Making Scaled Copies 7.1.3 Making Scaled Copies 11

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External Url

7.1.3.2 Drawing Scaled Copies 7.1.3.2 Drawing Scaled Copies 12

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External Url

7.1.4 Scaled Relationships 7.1.4 Scaled Relationships 13

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External Url

7.1.4.4 Comparing Pictures of Birds 7.1.4.4 Comparing Pictures of Birds 14

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External Url

7.1.5 The Size of the Scale Factor 7.1.5 The Size of the Scale Factor 15

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External Url

7.1.6 Scaling and Area 7.1.6 Scaling and Area 17

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External Url

7.1.6.1 Scaling a Pattern Block 7.1.6.1 Scaling a Pattern Block 18

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External Url

7.1.6.2 Scaling More Pattern Blocks 7.1.6.2 Scaling More Pattern Blocks 19

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External Url

7.1.7 Scale Drawings 7.1.7 Scale Drawings 21

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External Url

7.1.8 Scale Drawings and Maps 7.1.8 Scale Drawings and Maps 23

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External Url

7.1.8.2 Driving on I-90 7.1.8.2 Driving on I-90 24

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External Url

7.1.9 Creating Scale Drawings 7.1.9 Creating Scale Drawings 25

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External Url

7.1.9.2 Bedroom Floor Plan 7.1.9.2 Bedroom Floor Plan 26

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External Url

7.1.10 Changing Scales in Scale Drawings 7.1.10 Changing Scales in Scale Drawings 28

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External Url

7.1.11 Scales without Units 7.1.11 Scales without Units 29

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External Url

7.1.12 Units in Scale Drawings 7.1.12 Units in Scale Drawings 31

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External Url

7.1.13 Draw It to Scale 7.1.13 Draw It to Scale 33

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Page

7.1 Printable Materials 7.1 Printable Materials 34

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External Tool

Exploring scale copies Exploring scale copies 84

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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 85

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External Tool

Identifying scaled copies Identifying scaled copies 86

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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 87

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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 88

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External Tool

Scale factors and area Scale factors and area 89

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External Tool

Scale drawings | Geometry | 7th grade | Khan Academy Scale drawings | Geometry | 7th grade | Khan Academy 90

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External Tool

Creating scale drawings | Geometry | 7th grade | Khan Academy Creating scale drawings | Geometry | 7th grade | Khan Academy 91

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External Tool

Interpreting a scale drawing | Geometry | 7th grade | Khan Academy Interpreting a scale drawing | Geometry | 7th grade | Khan Academy 92

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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 93

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7.4 Proportional Relationships and Percentages

7.4 Proportional Relationships and Percentages 7.4 Proportional Relationships and Percentages

External Url

7.4.1 Lots of Flags 7.4.1 Lots of Flags 1

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External Url

7.4.2 Ratios and Rates With Fractions 7.4.2 Ratios and Rates With Fractions 2

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External Url

7.4.2.4 Scaling the Mona Lisa 7.4.2.4 Scaling the Mona Lisa 3

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External Url

7.4.3 Revisiting Proportional Relationships 7.4.3 Revisiting Proportional Relationships 4

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External Url

7.4.4 Half as Much Again 7.4.4 Half as Much Again 5

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External Url

7.4.5 Say It with Decimals 7.4.5 Say It with Decimals 6

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External Url

7.4.6 Increasing and Decreasing 7.4.6 Increasing and Decreasing 9

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External Url

7.4.7 One Hundred Percent 7.4.7 One Hundred Percent 10

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External Url

7.4.8 Percent Increase and Decrease with Equations 7.4.8 Percent Increase and Decrease with Equations 12

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External Url

7.4.9 More and Less than 1% 7.4.9 More and Less than 1% 13

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External Url

7.4.9.2 Waiting Tables 7.4.9.2 Waiting Tables 14

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External Url

7.4.10 Tax and Tip 7.4.10 Tax and Tip 15

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External Url

7.4.11 Percentage Contexts 7.4.11 Percentage Contexts 17

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External Url

7.4.12 Finding the Percentage 7.4.12 Finding the Percentage 20

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External Url

7.4.13 Measurement Error 7.4.13 Measurement Error 21

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External Url

7.4.14 Percent Error 7.4.14 Percent Error 22

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External Url

7.4.15 Error Intervals 7.4.15 Error Intervals 23

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External Url

7.4.16 Posing Percentage Problems 7.4.16 Posing Percentage Problems 24

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Page

7.4 Printable Materials 7.4 Printable Materials 25

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External Tool

Fraction to decimal example | Decimals | Pre-Algebra | Khan Academy Fraction to decimal example | Decimals | Pre-Algebra | Khan Academy 52

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External Tool

Fraction to decimal | Decimals | Pre-Algebra | Khan Academy Fraction to decimal | Decimals | Pre-Algebra | Khan Academy 53

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External Tool

Rational number word problem with fractions | Pre-Algebra | Khan Academy Rational number word problem with fractions | Pre-Algebra | Khan Academy 54

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Interpreting linear expressions, 1 | Introduction to algebra | Algebra I | Khan Academy Interpreting linear expressions, 1 | Introduction to algebra | Algebra I | Khan Academy 55

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Percent word problem example 1 | Ratios, rates, and percentages | 6th grade | Khan Academy Percent word problem example 1 | Ratios, rates, and percentages | 6th grade | Khan Academy 56

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Tax, discount and tip examples Tax, discount and tip examples 57

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7.5 Rational Number Arithmetic

7.5 Rational Number Arithmetic 7.5 Rational Number Arithmetic

External Url

7.5.1 Interpreting Negative Numbers 7.5.1 Interpreting Negative Numbers 1

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7.5.2 Changing Temperatures 7.5.2 Changing Temperatures 4

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7.5.2.3 Winter Temperatures 7.5.2.3 Winter Temperatures 5

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7.5.3 Changing Elevation 7.5.3 Changing Elevation 8

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7.5.3.2 Cliffs and Caves 7.5.3.2 Cliffs and Caves 9

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7.5.4 Money and Debts 7.5.4 Money and Debts 13

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7.5.5 Representing Subtraction 7.5.5 Representing Subtraction 15

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7.5.6 Subtracting Rational Numbers 7.5.6 Subtracting Rational Numbers 17

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7.5.7 Adding and Subtracting to Solve Problems 7.5.7 Adding and Subtracting to Solve Problems 20

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7.5.7.4 Differences and Distances 7.5.7.4 Differences and Distances 21

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7.5.8 Position, Speed, and Direction 7.5.8 Position, Speed, and Direction 24

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7.5.9 Multiplying Rational Numbers 7.5.9 Multiplying Rational Numbers 25

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7.5.9.3 Cruising 7.5.9.3 Cruising 26

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7.5.9.4 Rational Numbers Multiplication Grid 7.5.9.4 Rational Numbers Multiplication Grid 27

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7.5.10 Multiply! 7.5.10 Multiply! 30

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7.5.11 Dividing Rational Numbers 7.5.11 Dividing Rational Numbers 32

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7.5.11.3 Drilling Down 7.5.11.3 Drilling Down 33

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7.5.12 Negative Rates 7.5.12 Negative Rates 36

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7.5.13 Expressions with Rational Numbers 7.5.13 Expressions with Rational Numbers 38

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7.5.13.4 Seagulls and Sharks Again 7.5.13.4 Seagulls and Sharks Again 39

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External Url

7.5.14 Solving Problems with Rational Numbers 7.5.14 Solving Problems with Rational Numbers 44

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7.5.15 Solving Equations with Rational Numbers 7.5.15 Solving Equations with Rational Numbers 47

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7.5.15.2 Match Solutions 7.5.15.2 Match Solutions 48

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7.5.16 Representing Contexts with Equations 7.5.16 Representing Contexts with Equations 49

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7.5.17 The Stock Market 7.5.17 The Stock Market 50

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Page

7.5 Printable Materials 7.5 Printable Materials 51

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External Tool

Negative numbers and number line examples | Pre-Algebra | Khan Academy Negative numbers and number line examples | Pre-Algebra | Khan Academy 61

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Comparing Rational Numbers | 7th grade | Khan Academy Comparing Rational Numbers | 7th grade | Khan Academy 62

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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 63

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Adding numbers with different signs (example) | Pre-Algebra | Khan Academy Adding numbers with different signs (example) | Pre-Algebra | Khan Academy 64

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Adding negative numbers on number line examples | 7th grade | Khan Academy Adding negative numbers on number line examples | 7th grade | Khan Academy 65

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Integer equations to describe diagram | 7th grade | Khan Academy Integer equations to describe diagram | 7th grade | Khan Academy 66

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Adding fractions with different signs | Fractions | Pre-Algebra | Khan Academy Adding fractions with different signs | Fractions | Pre-Algebra | Khan Academy 67

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Rational number word problem with decimals | Pre-Algebra | Khan Academy Rational number word problem with decimals | Pre-Algebra | Khan Academy 68

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Adding and subtracting negative numbers | Pre-Algebra | Khan Academy Adding and subtracting negative numbers | Pre-Algebra | Khan Academy 69

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Interpreting integer expressions | 7th grade | Khan Academy Interpreting integer expressions | 7th grade | Khan Academy 70

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Absolute value as distance between numbers | 7th grade | Khan Academy Absolute value as distance between numbers | 7th grade | Khan Academy 71

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Interpreting negative number statements | 7th grade | Khan Academy Interpreting negative number statements | 7th grade | Khan Academy 72

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Finding initial temperature from temperature changes | 7th grade | Khan Academy Finding initial temperature from temperature changes | 7th grade | Khan Academy 73

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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 74

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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 75

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Multiplying negative and positive fractions | Fractions | Pre-Algebra | Khan Academy Multiplying negative and positive fractions | Fractions | Pre-Algebra | Khan Academy 76

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Dividing positive and negative numbers | Pre-Algebra | Khan Academy Dividing positive and negative numbers | Pre-Algebra | Khan Academy 77

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Dividing negative fractions | Fractions | Pre-Algebra | Khan Academy Dividing negative fractions | Fractions | Pre-Algebra | Khan Academy 78

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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 79

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Substitution with negative numbers | 7th grade | Khan Academy Substitution with negative numbers | 7th grade | Khan Academy 80

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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 81

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Negative signs in numerators and denominators | 7th grade | Khan Academy Negative signs in numerators and denominators | 7th grade | Khan Academy 82

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Expressions with rational numbers | 7th grade | Khan Academy Expressions with rational numbers | 7th grade | Khan Academy 83

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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 84

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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 85

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7.6 Expressions, Equations, and Inequalities

7.6 Expressions, Equations, and Inequalities 7.6 Expressions, Equations, and Inequalities

External Url

7.6.1 Relationships between Quantities 7.6.1 Relationships between Quantities 1

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External Url

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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External Url

7.6.3 Reasoning about Contexts with Tape Diagrams (Part 2) 7.6.3 Reasoning about Contexts with Tape Diagrams (Part 2) 4

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External Url

7.6.3.3 Drawing Tape Diagrams to Represent Equations 7.6.3.3 Drawing Tape Diagrams to Represent Equations 5

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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) 6

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7.6.4.2 Situations and Diagrams 7.6.4.2 Situations and Diagrams 7

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External Url

7.6.5 Reasoning about Equations and Tape Diagrams (Part 2) 7.6.5 Reasoning about Equations and Tape Diagrams (Part 2) 11

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7.6.5.2 More Situations and Diagrams 7.6.5.2 More Situations and Diagrams 12

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7.6.6 Distinguishing between Two Types of Situations 7.6.6 Distinguishing between Two Types of Situations 13

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7.6.7 Reasoning about Solving Equations (Part 1) 7.6.7 Reasoning about Solving Equations (Part 1) 15

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7.6.8 Reasoning about Solving Equations (Part 2) 7.6.8 Reasoning about Solving Equations (Part 2) 17

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7.6.9 Dealing with Negative Numbers 7.6.9 Dealing with Negative Numbers 18

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External Url

7.6.10 Different Options for Solving One Equation 7.6.10 Different Options for Solving One Equation 21

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7.6.11 Using Equations to Solve Problems 7.6.11 Using Equations to Solve Problems 24

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7.6.12 Solving Problems about Percent Increase or Decrease 7.6.12 Solving Problems about Percent Increase or Decrease 27

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7.6.13 Reintroducing Inequalities 7.6.13 Reintroducing Inequalities 28

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7.6.14 Finding Solutions to Inequalities in Context 7.6.14 Finding Solutions to Inequalities in Context 30

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External Url

7.6.15 Efficiently Solving Inequalities 7.6.15 Efficiently Solving Inequalities 31

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External Url

7.6.16 Interpreting Inequalities 7.6.16 Interpreting Inequalities 32

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External Url

7.6.17 Modeling with Inequalities 7.6.17 Modeling with Inequalities 33

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External Url

7.6.18 Subtraction in Equivalent Expressions 7.6.18 Subtraction in Equivalent Expressions 35

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7.6.19 Expanding and Factoring 7.6.19 Expanding and Factoring 37

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External Url

7.6.20 Combining Like Terms (Part 1) 7.6.20 Combining Like Terms (Part 1) 40

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External Url

7.6.21 Combining Like Terms (Part 2) 7.6.21 Combining Like Terms (Part 2) 41

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External Url

7.6.22 Combining Like Terms (Part 3) 7.6.22 Combining Like Terms (Part 3) 44

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Page

7.6 Printable Materials 7.6 Printable Materials 46

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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 78

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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 79

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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 80

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Interpreting linear expressions, 2 | Introduction to algebra | Algebra I | Khan Academy Interpreting linear expressions, 2 | Introduction to algebra | Algebra I | Khan Academy 81

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Solving two-step equations | Linear equations | Algebra I | Khan Academy Solving two-step equations | Linear equations | Algebra I | Khan Academy 82

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Solving a more complicated equation | Linear equations | Algebra I | Khan Academy Solving a more complicated equation | Linear equations | Algebra I | Khan Academy 83

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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 84

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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 85

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Mistakes in solving equations | expressions, equations, and inequalities | 7th grade | Khan Academy Mistakes in solving equations | expressions, equations, and inequalities | 7th grade | Khan Academy 86

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Basic linear equation word problem | 7th grade | Khan Academy Basic linear equation word problem | 7th grade | Khan Academy 87

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Linear equation word problem | Linear equations | Algebra I | Khan Academy Linear equation word problem | Linear equations | Algebra I | Khan Academy 88

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How to test solutions to inequalities | 6th grade | Khan Academy How to test solutions to inequalities | 6th grade | Khan Academy 89

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Constructing, solving two-step inequality example | Linear inequalities | Algebra I | Khan Academy Constructing, solving two-step inequality example | Linear inequalities | Algebra I | Khan Academy 90

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Adding, subtracting fractions | Decimals | Pre-Algebra | Khan Academy Adding, subtracting fractions | Decimals | Pre-Algebra | Khan Academy 91

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How to use the distributive property with variables | 6th grade | Khan Academy How to use the distributive property with variables | 6th grade | Khan Academy 92

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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 93

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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 94

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Equivalent expressions with distribution and negative numbers | 7th grade | Khan Academy Equivalent expressions with distribution and negative numbers | 7th grade | Khan Academy 95

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Examples of simplifying expressions involving rational numbers |7th grade | Khan Academy Examples of simplifying expressions involving rational numbers |7th grade | Khan Academy 96

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7.7 Angles, Triangles, and Prisms

7.7 Angles, Triangles, and Prisms 7.7 Angles, Triangles, and Prisms

External Url

7.7.1 Relationships of Angles 7.7.1 Relationships of Angles 1

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External Url

7.7.1.1 Visualizing Angles 7.7.1.1 Visualizing Angles 2

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External Url

7.7.1.2 Pattern Block Angles 7.7.1.2 Pattern Block Angles 3

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External Url

7.7.1.3 More Pattern Block Angles 7.7.1.3 More Pattern Block Angles 4

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External Url

7.7.2 Adjacent Angles 7.7.2 Adjacent Angles 6

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External Url

7.7.3 Nonadjacent Angles 7.7.3 Nonadjacent Angles 8

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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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External Url

7.7.5 Using Equations to Solve for Unknown Angles 7.7.5 Using Equations to Solve for Unknown Angles 11

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External Url

7.7.6 Building Polygons (Part 1) 7.7.6 Building Polygons (Part 1) 14

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External Url

7.7.6.2 What Can You Build? 7.7.6.2 What Can You Build? 15

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7.7.6.3 Building Diego’s and Jada’s Shapes 7.7.6.3 Building Diego’s and Jada’s Shapes 16

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External Url

7.7.6.4 Building Han’s Shape 7.7.6.4 Building Han’s Shape 17

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External Url

7.7.7 Building Polygons (Part 2) 7.7.7 Building Polygons (Part 2) 18

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External Url

7.7.7.1 Where Is Lin? 7.7.7.1 Where Is Lin? 19

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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? 20

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External Url

7.7.7.3 Swinging the Sides Around 7.7.7.3 Swinging the Sides Around 21

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External Url

7.7.8 Triangles with 3 Common Measures 7.7.8 Triangles with 3 Common Measures 24

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External Url

7.7.8.3 2 Angles and 1 Side 7.7.8.3 2 Angles and 1 Side 25

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External Url

7.7.9 Drawing Triangles (Part 1) 7.7.9 Drawing Triangles (Part 1) 26

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External Url

7.7.9.2 Does Your Triangle Match Theirs? 7.7.9.2 Does Your Triangle Match Theirs? 27

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External Url

7.7.9.3 How Many Can You Draw? 7.7.9.3 How Many Can You Draw? 28

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External Url

7.7.10 Drawing Triangles (Part 2) 7.7.10 Drawing Triangles (Part 2) 29

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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? 30

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External Url

7.7.10.3 Three Angles 7.7.10.3 Three Angles 31

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External Url

7.7.11 Volume of Right Prisms 7.7.11 Volume of Right Prisms 33

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External Url

7.7.11.2 Finding Volume with Cubes 7.7.11.2 Finding Volume with Cubes 34

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External Url

7.7.11.3 Can You Find the Volume? 7.7.11.3 Can You Find the Volume? 35

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External Url

7.7.12 Decomposing Bases for Area 7.7.12 Decomposing Bases for Area 37

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External Url

7.7.13 Surface Area of Right Prisms 7.7.13 Surface Area of Right Prisms 38

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External Url

7.7.14 Distinguishing Volume and Surface Area 7.7.14 Distinguishing Volume and Surface Area 39

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External Url

7.7.15 Applying Volume and Surface Area 7.7.15 Applying Volume and Surface Area 40

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External Url

7.7.16 Building Prisms 7.7.16 Building Prisms 41

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Page

7.7 Printable Materials 7.7 Printable Materials 42

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External Tool

Angle basics | Angles and intersecting lines | Geometry | Khan Academy Angle basics | Angles and intersecting lines | Geometry | Khan Academy 66

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External Tool

Complementary and supplementary angles | Angles and intersecting lines | Geometry | Khan Academy Complementary and supplementary angles | Angles and intersecting lines | Geometry | Khan Academy 67

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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 68

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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 69

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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 70

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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 71

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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 72

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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 73

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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 74

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7.8 Probability and Sampling

7.8 Probability and Sampling 7.8 Probability and Sampling

External Url

7.8.1 Mystery Bags 7.8.1 Mystery Bags 1

external_url 2198708 0

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External Url

7.8.2 Chance Experiments 7.8.2 Chance Experiments 2

external_url 2198711 0

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External Url

7.8.2.3 Take a Chance 7.8.2.3 Take a Chance 3

external_url 2198714 0

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External Url

7.8.3 What Are Probabilities? 7.8.3 What Are Probabilities? 5

external_url 2198717 0

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External Url

7.8.4 Estimating Probabilities Through Repeated Experiments 7.8.4 Estimating Probabilities Through Repeated Experiments 7

external_url 2198720 0

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External Url

7.8.4.2 In the Long Run 7.8.4.2 In the Long Run 8

external_url 2198724 0

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External Url

7.8.5 More Estimating Probabilities 7.8.5 More Estimating Probabilities 13

external_url 2198729 0

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External Url

7.8.5.2 Making My Head Spin 7.8.5.2 Making My Head Spin 14

external_url 2198731 0

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External Url

7.8.6 Estimating Probabilities Using Simulation 7.8.6 Estimating Probabilities Using Simulation 17

external_url 2198734 0

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External Url

7.8.7 Simulating Multi-step Experiments 7.8.7 Simulating Multi-step Experiments 18

external_url 2198737 0

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External Url

7.8.7.2 Alpine Zoom 7.8.7.2 Alpine Zoom 19

external_url 2198740 0

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External Url

7.8.8 Keeping Track of All Possible Outcomes 7.8.8 Keeping Track of All Possible Outcomes 20

external_url 2198744 0

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External Url

7.8.9 Multi-step Experiments 7.8.9 Multi-step Experiments 23

external_url 2198747 0

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External Url

7.8.10 Designing Simulations 7.8.10 Designing Simulations 26

external_url 2198751 0

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External Url

7.8.10.2 Breeding Mice 7.8.10.2 Breeding Mice 27

external_url 2198755 0

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External Url

7.8.11 Deviation from the Mean 7.8.11 Deviation from the Mean 28

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7.8.12 Using Mean and MAD to Make Comparisons 7.8.12 Using Mean and MAD to Make Comparisons 29

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7.8.13 Quartiles and Interquartile Range 7.8.13 Quartiles and Interquartile Range 30

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External Url

7.8.14 Using Box Plots 7.8.14 Using Box Plots 31

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7.8.15 Comparing Groups - Optional Extension 7.8.15 Comparing Groups - Optional Extension 32

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7.8.16 Larger Populations 7.8.16 Larger Populations 34

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7.8.17 What Makes a Good Sample? 7.8.17 What Makes a Good Sample? 35

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7.8.17.3 Sampling the Fish Market 7.8.17.3 Sampling the Fish Market 36

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7.8.18 Sampling in a Fair Way 7.8.18 Sampling in a Fair Way 37

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External Url

7.8.19 Estimating Population Measures of Center 7.8.19 Estimating Population Measures of Center 39

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7.8.20 Estimating Population Proportions 7.8.20 Estimating Population Proportions 40

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External Url

7.8.21 More about Sampling Variability 7.8.21 More about Sampling Variability 41

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External Url

7.8.22 Comparing Populations Using Samples 7.8.22 Comparing Populations Using Samples 42

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External Url

7.8.23 Comparing Populations With Friends 7.8.23 Comparing Populations With Friends 43

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External Url

7.8.24 Using Data to Solve Problems 7.8.24 Using Data to Solve Problems 44

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External Url

7.8.24.2 Math Homework (Part 1) 7.8.24.2 Math Homework (Part 1) 45

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External Url

7.8.24.3 Math Homework (Part 2) 7.8.24.3 Math Homework (Part 2) 46

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Page

7.8 Printable Materials 7.8 Printable Materials 47

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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 84

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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 85

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External Tool

Experimental probability | Statistics and probability | 7th grade | Khan Academy Experimental probability | Statistics and probability | 7th grade | Khan Academy 86

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External Tool

Comparing theoretical to experimental probabilites | 7th grade | Khan Academy Comparing theoretical to experimental probabilites | 7th grade | Khan Academy 87

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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 88

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External Tool

Constructing probability model from observations | 7th grade | Khan Academy Constructing probability model from observations | 7th grade | Khan Academy 89

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External Tool

Finding probability example | Probability and Statistics | Khan Academy Finding probability example | Probability and Statistics | Khan Academy 90

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External Tool

Finding probability example 2 | Probability and Statistics | Khan Academy Finding probability example 2 | Probability and Statistics | Khan Academy 91

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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 92

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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 93

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External Tool

Die rolling probability | Probability and combinatorics | Precalculus | Khan Academy Die rolling probability | Probability and combinatorics | Precalculus | Khan Academy 94

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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 95

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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 96

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External Tool

Reasonable samples | Statistical studies | Probability and Statistics | Khan Academy Reasonable samples | Statistical studies | Probability and Statistics | Khan Academy 97

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7.9 Putting it All Together

7.9 Putting it All Together 7.9 Putting it All Together

External Url

7.9.1 Planning Recipes 7.9.1 Planning Recipes 27

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External Url

7.9.2 Costs of Running a Restaurant 7.9.2 Costs of Running a Restaurant 28

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External Url

7.9.3 More Costs of Running a Restaurant 7.9.3 More Costs of Running a Restaurant 29

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External Url

7.9.4 Restaurant Floor Plan 7.9.4 Restaurant Floor Plan 30

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External Url

7.9.5 How Crowded Is this Neighborhood? 7.9.5 How Crowded Is this Neighborhood? 31

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External Url

7.9.5.2 Dot Density with a Twist 7.9.5.2 Dot Density with a Twist 32

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External Url

7.9.6 Fermi Problems 7.9.6 Fermi Problems 33

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7.9.7 More Expressions and Equations 7.9.7 More Expressions and Equations 34

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External Url

7.9.8 Measurement Error (Part 1) 7.9.8 Measurement Error (Part 1) 35

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External Url

7.9.9 Measurement Error (Part 2) 7.9.9 Measurement Error (Part 2) 36

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External Url

7.9.10 Measuring Long Distances Over Uneven Terrain 7.9.10 Measuring Long Distances Over Uneven Terrain 37

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7.9.11 Building a Trundle Wheel 7.9.11 Building a Trundle Wheel 38

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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 39

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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 40

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External Url

7.9.13 Designing a 5K Course 7.9.13 Designing a 5K Course 41

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Page

7.9 Printable Materials 7.9 Printable Materials 42

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