Unit 3 - Week 7 - Rational Functions - Mar 1st - Mar 5th

 Welcome to Week 7 of Math 3
Unit 3 - Rational Functions

Most Daily/ Weekly assignments will be due the next  day or by 4 pm of Saturday each week.

Listed below will be our Daily Agenda Activities for our "class days" of Monday - Friday.  We will have a Live Google Meet on Monday - Friday morning. 
You may work ahead on the Homework Tasks.  Please save your questions for the end of our live Remote Learning Sessions and/or for the
Tuesday - Thursday Afternoon Office Time (2:30pm - 3:00pm).  If you miss the live sessions, please go through each Daily Agenda of links  & Bring your
questions to Tuesday - Thursday's Office Time.  Make sure you COMPLETE all of the assignments each week to obtain your weekly grade(s).  

Be Your Best, Do Your Best, & Breathe! 

Free Printable Graph Paper

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Unit 3 - Rational Functions
Objectives

 

 


Click the picture for
Technology Instructions

Students will be able to:

  • NC.M3.A-SSE.1 Interpret expressions that represent a quantity in terms of its context.
    1. Identify and interpret parts of a piecewise, absolute value, polynomial, exponential and rational expressions including terms, factors, coefficients, and exponents.
    2. Interpret expressions composed of multiple parts by viewing one or more of their parts as a single entity to give meaning in terms of a context.
  • NC.M3.A-APR.6 Rewrite simple rational expressions in different forms; write a(x)b(x) in the form q(x) + r(x)b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x).  

  • NC.M3.A-APR.7 Understand the similarities between arithmetic with rational expressions and arithmetic with rational numbers.
          a. Add and subtract two rational expressions, a(x) and b(x), where the denominators of both a(x) and b(x)              are linear expressions.
         b. Multiply and divide two rational expressions.

  • NC.M3.A-CED.1 Create equations and inequalities in one variable that represent absolute value, polynomial, exponential, and rational relationships and use them to solve problems algebraically and graphically.

  • NC.M3.A-CED.2 Create and graph equations in two variables to represent absolute value, polynomial, exponential and rational relationships between quantities.

  • NC.M3.A-REI.2 Solve and interpret one variable rational equations arising from a context, and explain how extraneous solutions may be produced

  • NC.M3.F-IF.4 Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities to include periodicity and discontinuities.

  • NC.M3.F-IF.7 Analyze piecewise, absolute value, polynomials, exponential, rational, and trigonometric functions (sine and cosine) using different representations to show key features of the graph, by hand in simple cases and using technology for more complicated cases, including: domain and range; intercepts; intervals where the function is increasing, decreasing, positive, or negative; rate of change; relative maximums and minimums; symmetries; end behavior; period; and discontinuities.

  • NC.M3.F-IF.9 Compare key features of two functions using different representations by comparing properties of two different functions, each with a different representation (symbolically, graphically, numerically in tables, or by verbal description)

                                               

Monday - Mar 1st

 Review

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. March National Calendar Information 
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3. Discuss Quiz results - Sample Questions    Quiz Link
4. Discuss Unit 2 - Polynomial Function Review   1st Period Link Links to an external site.          2nd Period Link Links to an external site.
5. Breakout Groups = 6 Groups with either 3 or 4 problems - Each Group has 2 Jamboard Pages to show their work from the Review Worksheets
                                                                                                        from the Worksheet Packet - Day 12 & Homework Pages from Day 10.
6. Each Group will have 15 minutes to complete their problems, then return to the Main Google Meet Room to discuss the results.
Homework:
            HW 14A - &   =

well and  !

Tuesday - Mar 2nd

 Unit Test 2 - Polynomial Functions

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. Unit Test 2 - Polynomial Functions

Homework:
          **HW 15A - &   Do the following Khan Academy Assignments:   
                                                                                                              a. Multiply & Divide Rational Expressions
                                                                                                              b. Add & Subtract Rational Expressions: factored denominators


Wednesday - Mar 3rd 

 

   Factoring Review, Multiplying/Dividing Rational Expressions
Asynchronous Day

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. Take Notes & Watch Video Clip # 1 Links to an external site.       Video Clip # 2 Links to an external site.         Video Clip # 3 Links to an external site. = Factoring Review, Multiplying /Dividing Rational Expressions = Jamboard Links to an external site.  
Homework:

            HW 1A - After watching the video clip of the lesson, complete the Daily Classwork FormThis form will be used as Wednesday's Attendance by 1 pm.
         **HW 1B - = Watch the Video, fill - in the Worksheet Links to an external site., and Upload your results.

         **HW 1C - Math 3 Rational Maze Worksheet - Make a Copy of the Maze Document Links to an external site., Draw the Red Arrows from the problem to the answer
                             until you reach the "Exit" Sign on the page, upload your work, and completed Maze in the following Link.
**due by 4pm Mar 6th


Thursday - Mar 4th

    Operations with Polynomials & Adding / Subtracting Rational Expressions / Equations - Part 1

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. Discuss Wednesday's Daily Classwork results & Maze Worksheet
3. Kahoot Review = Operations with Polynomials

4. Jamboard Adding / Subtracting Rational Expressions - Part 1 =   1st Period Jamboard Links to an external site.        2nd Period Jamboard Links to an external site.

Homework:
          HW 2A - Daily Classwork & = After you do the Download Homework Problems,

take a picture, and upload your work into
                                                                                                                                  a pdf or jpg of the Homework for the Daily Classwork Form.  
                                                             
      **HW 2B - Do the Assignments listed under Tuesday and    Wednesday's Homework List.
**due by 4pm Mar 6th
 


Friday - Mar 5th 

Adding & Subtracting Rational Expressions / Equations - Part 2

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. Discuss HW results ( Download student sample

)
3. Jamboard Adding / Subtracting Rational Expressions - Part 2 =   1st Period Jamboard Links to an external site.        2nd Period Jamboard Links to an external site.
   Homework: 
       **HW 3A -  = Complete the Daily Classwork Form for your grade.  
      **HW 3B -  Do the Assignments listed under Tuesday and    Wednesday's Homework List.
       **HW 3C - (The Homework problems for Day 3 in the packet are for extra practice, if you need it.)


Keep up the Good Work for this Semester in All of Your Classes!

 

 


Extra Resources:

NC Videos - Unit 3

Wednesday

Factoring Review

Video

Multiplying & Dividing Rational Expressions

Video

Thursday
Operations with Polynomials 

Video

Friday

Adding & Subtracting Rational Expressions

Video