Unit 2 - Week 6 - Polynomial Functions - Feb 22nd - Feb 26th

Welcome to Week 6 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 22nd

Quiz

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!       .
2. Discuss the Weekly Agenda for Week 6
3.  ut2-q2
Homework:
          **HW 9A - =  Fill - in Guided Notes Worksheet Links to an external site. from the video Links to an external site..
          **HW 9B - Upload a copy of your completed worksheet in the following Link.  Watch the following video clip on how to Link a Google Doc to Canvas.
          **HW 9C -  Desmos Fundamental Theorem of Algebra Activity                       1st Period Link Links to an external site.                    2nd Period Link Links to an external site.
         **HW 9D -  Desmos End Behavior Activity     1st Period Link Links to an external site.                  2nd Period Link Links to an external site.
        **HW 9E -  Delta Math - 3rd Opportunity for Partial Credit for low scores from Week 1 - Week 4.   

**due by 4pm Feb 27th


Tuesday - Feb 23rd

   End Behavior of Polynomials
Asynchronous Day = All Juniors = ACT

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2.  Desmos End Behavior Activity    1st Period Link Links to an external site.                  2nd Period Link Links to an external site.
3. Review Increasing & Decreasing by looking at last week's Jamboards from Thursday.
Homework:
             HW 10A - = Completing the Daily Classwork Worksheet Form Links to an external site. and Upload a copy of your
                                                                                                                                Completed Worksheet in the following Link.   VIdeo Links to an external site. that goes along with the Worksheet Form
                                                                               This assignment needs to be completed by 4 pm because it will be used as Tuesday's Attendance.!!!
       
          **HW 10B -  Desmos End Behavior Activity (see the class links above)
**due by 4pm Feb 27th 


 Wednesday - Feb 24th

  Fundamental Theorem of Algebra & Review
 Asynchronous Day

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

2. Watch & Take Notes on the  Summary Video Clips -->  Video Review # 1 Links to an external site.          Video Review # 2 Links to an external site.          
3. Once you have completed watching and taking notes on both videos, upload a copy of your Video Notes - This will be used for Wednesday's Attendance.
4. Follow the directions on how to upload a document into Canvas: 

cm1.png   Another Method for Uploading a Document into Canvas:
cm2.png  

Homework:
        **HW 11A - Daily Classwork & Daily Homework = Daily Classwork Form of your Answers for 
                                                                                                                                    Worksheet Packet Pages 22 - 25 # 1, 2, 3, 7, 8, 11, 12, & 17, 18, 19, & 20.
       **HW 11B -  Desmos Fundamental Theorem of Algebra Activity                       1st Period Link Links to an external site.                    2nd Period Link Links to an external site.

**due by 4pm Feb 27th 


Thursday - Feb 25th

 Review

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2.  feb-cal-21.pngFebruary National Calendar Information 
3. Discuss Video Review # 3 Links to an external site.    
4. Discuss Example Problems on this Link Links to an external site. & Jamborad Example Problems     1st Period Link Links to an external site.      2nd Period Link Links to an external site.
5. Video # 3 & 4 - Worksheet Packet Page 12 - Part A    Part B
6. Discuss  Desmos Fundamental Theorem of Algebra Activity                       1st Period Link Links to an external site.                    2nd Period Link Links to an external site.

Homework:
            HW 12A - &   Do the Assignments listed under   Monday, Tuesday,
                                                                                                                and   Wednesday's Homework List
.

          **HW 12B - Study!!!
**due by 4pm Feb 27th 


Friday - Feb 26th

Quiz

1. Welcome - Good Morning - "The Count Down" to start class - Hello"!      
2.  ut2-q3 
Homework: 
       **HW 13A -   & After finishing the Quiz, do the Assignments listed under   Monday, Tuesday,
                                                                                                                and   Wednesday's Homework List
.

          **HW 13B - Study!!!
**due by 4pm Feb 27th


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

 

Extra Resources:

NC Videos - Unit 2

Monday

End Behavior

Video Links to an external site.

Tuesday

Fundamental Theorem of Algebra

Video Links to an external site.