Unit 2 - Week 5 - Polynomial Functions - Feb 15th - Feb 19th

Welcome to Week 5 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 15th

  Calendar Out Day

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Tuesday - Feb 16th

Workday


Wednesday - Feb 17th

Solving Polynomials Algebraically

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!       .
2. Discuss February National Calendar Information
3. Jamboard Solving Polynomials Algebraically                   1st Period Jamboard Links to an external site.        2nd Period Jamboard Links to an external site.
4. Breakout Group Activity = 4 Groups - Return to Main Google Meet to discuss Jamboard results & Factoring Clip-Art picture below:


   Homework: 
       **HW 6A -    & = Completing the Download Matching Puzzle Sheet

and Uploading the results into the Daily Classwork Form
      **HW 6B - Khan Academy - 4 Assignments = Take Home Quiz - 2nd Chance for Partial Credit!!! (The Quiz grade = the Average of the 4 grades.)
      **HW 6C -  Delta Math - 3rd Opportunity for Partial Credit for low scores from Week 1 - Week 4.   
**due Feb 20th by 4pm   


 Thursday - Feb 18th

 Solving Polynomials Graphically
Asynchronous Day - Inclement Weather

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. Watch the Video Clips in the chart below that go along with the Video Jamboard Problems. (Approximately 30 minutes Total Watching Time)

Video # 1 - Example 1 - Part 1 Links to an external site. Video # 2 - Example 1 - Part 2 Links to an external site.
Video # 3 & 4 - Worksheet Packet Page 12 - Part A Links to an external site.     Part B Links to an external site. Video # 5 & 6 - Worksheet Packet Page 13 # 2 - Part A Links to an external site.     Part B Links to an external site.
Video # 7 & 8 - Worksheet Packet Page 13 # 3 - Part A Links to an external site.     Part B Links to an external site. Video # 9, 10, & 11 - Worksheet Packet Page 14 - Part A Links to an external site.     Part B Links to an external site.     Part C Links to an external site.

3. Make sure you do the Desmos Activity by clicking on your class link below.  Only do the 1st three Slides of the Desmos Activity!!!
4. Fill in the Video Survey Form - This will be used for the Daily Attendance for Thursday.

Homework:
              HW 7A - & = Desmos Activity (Only Slides 1, 2, & 3)                1st Period Link Links to an external site.      2nd Period Link Links to an external site.
**due by 4pm Feb 20th


Friday - Feb 19th

 Solving Polynomials by Graphing - Part 2
The Quiz will be on Monday!!!

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2. Discuss ut2-q1 results Links to an external site.  Student Examples   Quiz Link
3. Discuss Desmos Slides # 1 - 3, # 4 - 7, and Homework = # 1 - 11
4. Discuss Video Jamboard Links to an external site. Slides Solving Polynomials Graphically - Watch the videos in the chart for Thursday's Agenda!!! 
Homework:
            HW 8A - = See    Wednesday and Thursday's Homework List.
         **HW 8B - 
Desmos Activities # 1 - 11 =  1st Period Link Links to an external site.      2nd Period Link Links to an external site.

            HW 8B - Study for the Quiz on Monday!!!
Keep up the Good Work for this Semester in All of Your Classes!

Extra Resources:

NC Videos -Unit 2

Wednesday

Solving Polynomials Algebraically

Video Links to an external site.

Thursday 
Solving Polynomials Graphically

Video Links to an external site.