Unit 2 - Week 4 - Polynomial Functions - Feb 8th - Feb 12th

Welcome to Week 4 of Math 3
Unit 2 - Polynomial 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 2 - Polynomial Functions
Objectives

 

 

 

Click the picture for
Technology Instructions

Students will be able to:

  • NC.M3.N-CN.9 Use the Fundamental Theorem of Algebra to determine the number and potential types of solutions for polynomial functions.
  • NC.M3.A-SSE.1 Interpret expressions that represent a quantity in terms of its context.

a. Identify and interpret parts of a piecewise, absolute value, polynomial, exponential and rational expressions including terms, factors, coefficients, and exponents.

b.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.2 Understand and apply the Remainder Theorem.
  • NC.M3.A-APR.3 Understand the relationship among factors of a polynomial expression, the solutions of a polynomial equation and the zeros of a polynomial function.
  • 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.F-BF.1a Build polynomial and exponential functions with real solution(s) given a graph, a description of a relationship, or ordered pairs (include reading these from a table).
  • NC.M3.F-BF.1b Build a new function, in terms of a context, by combining standard function types using arithmetic operations.
  • NC.M3.F-BF.3 Extend an understanding of the effects on the graphical and tabular representations of a function when replacing f(x) with k ∙ f(x), f(x) + k, f(x + k) to include f(k ∙ x) for specific values of k (both positive and negative).
  • 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 descriptions).
  • NC.M3.F-LE.3 Compare the end behavior of functions using their rates of change over intervals of the same length to show that a quantity increasing exponentially eventually exceeds a quantity increasing as a polynomial function.

                                                                                                 

Monday - Feb 8th

  Factoring Review

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. Discuss HW  video and Worksheet.
3. Desmos Graph Survey Voting!!!
4.  Factoring by Grouping Examples =        1st Period Link Links to an external site.          2nd Period Link Links to an external site.  
5.  Kahoot - Factoring Review
Homework:

            HW 1A - Complete the Daily Classwork Worksheet and upload your results in the following Link.
            HW 1B -  Desmos Graph Survey - Vote for your favorite picture from the class uploads.
         **HW 1C - Coloring Activity Worksheets ---> After completing the problems and coloring page 2, you only need to Upload Page 2.
         **HW 1D - All 4 Khan Academy Assignments = Take Home Quiz (See Tuesday & Thursday's HW List for the assignment names.)

**due by 4pm Feb 13th 


 Tuesday - Feb 9th

  Quadratic Formula Review

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. feb-cal-21.pngFebruary National Calendar Information
3. Discuss Daily Classwork results & Check Your Unit Test results
4. Jamboard Review - Quadratic Formula Examples =    1st Period Jamboard Links to an external site.        2nd Period Jamboard Links to an external site.
5. Breakout Activity - 8 Groups

B1 - Slides 6 & 7 B2 - Slide 8 B3 - Slide 9 B4 - Slides 10 & 11
B5 - Slides 12 & 13 B6 - Slide 14 B7 - Slide 15 B8 - Slide 16

Homework:
        **HW 2A - Daily Classwork & Daily Homework = 3 Khan Academy Assignments
                                                             a. Practice: Quadratic with Complex Solutions     
                                                             b. Practice: Factor Polynomials: Quadratic Method (challenge)     
                                                             c. Practice: Factor Polynomials: Quadratic Method = 12 Problems Total

          HW 2B - Reminder --> Afterschool Tutorial is from 2:30 - 3:00 pm Tues - Thurs, if needed.
**due by 4pm Feb 13th


Wednesday - Feb 10th 
Long Division - Part 1

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2.  Funny Way to Remember the Steps for Long Division - Video Clip Links to an external site.
3. Long Division Examples =        1st Period Link Links to an external site.                            2nd Period Link Links to an external site.
4. 3 Breakout Groups to work on the Long Division Student Examples on the Jamboard.
   Homework: 
          HW 3A -   After attending the live session and solidifying your understanding of the lesson, complete the Daily Classwork Form
       **HW 3B - Daily Homework = See  Monday & Tuesday's Homework List.


Thursday - Feb 11th

   Long Division - Part 2

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2.Discuss Classwork results
3. Desmos Simplifying Rational Expressions Activity             1st Period Link Links to an external site.                  2nd Period Link Links to an external site.
4. Jamboard      = Sample of Desmos Activity    1st Period Link Links to an external site.      2nd Period Link Links to an external site.
5. Coloring Activity Worksheets ---> Upload Your Completed Coloring Worksheet for Page 2
Homework:
          **HW 4A - & = Khan Academy - Long DIvision Unit Test - 9 problems
             HW 4B - Finish the Desmos Activity from class.
          **HW 4C -
Do the Assignments under Monday & Tuesday's Homework List.
              HW 4D - Study!
**due by 4pm Feb 13th


 Friday - Feb 12th

 Quiz

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. ut2-q1

Homework:
          **HW 5A - & Do the Assignments listed under Monday, Tuesday , & Thursday's Homework List.

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

 

Extra Resources:

NC Videos - Unit 2

Tuesday

Quadratic Formula

Video

Wednesday
Long Division

Video

Additional 
Long Division Problems
Worked out Solutions Links to an external site.

Thursday

Long Division Song

Video Links to an external site.

Math 2 Review

Video Links to an external site.