Advanced Algebra Agenda: Polynomials Week 3

Week of: 11/4

*for additional curriculum information, please visit the district's resource High School Pacing Guides  or Georgia Standards

Course Name:Advanced Algebra

Monday

AA.FGR.5.9 Identify zeros of polynomial functions using technology or pre-factored polynomials and use the zeros to construct a graph of the function defined by the polynomial function. Analyze identify key features of these polynomial functions.

LT: 

• I can use the graph of a polynomial function to determine domain, range and end behavior, intervals of increase, intervals of decrease, local extrema and roots/intercepts

 SC:

• I can graph a polynomial using a graphing calculator

• I can use a graph to find domain

• I can use a graph to find range

• I can use a graph to determine end behavior

• I can identify intervals where the graph is increasing

• I can identify intervals where the graph is decreasing

• I can identify a turning point on a graph as a local maximum or a local minimum

• I can find x-intercepts and determine their multiplicity based on a graph

Lesson/Activity: 

Engage: Review end behavior

Explore: Guided notes on characteristics of polynomial graphs

Apply: Worksheet on characteristics

Reflect: TOTD

Resources: Guided notes, TOTD

Tuesday

AA.FGR.5.9 Identify zeros of polynomial functions using technology or pre-factored polynomials and use the zeros to construct a graph of the function defined by the polynomial function. Analyze identify key features of these polynomial functions.

LT: 

• I can sketch the graph of a polynomial given in factored form

 SC:

• I can find zeros when give factors

• I know end behavior for a polynomial

• I know that even multiplicities intersect the x-axis while odd multiplicities cross the x-axis

Lesson/Activity: 

Engage: Review finding zeros from factors

Explore: Guided notes on graphing polynomials

Apply: DeltaMath 

Reflect: TOTD

Resources: DeltaMath

Wednesday

AA.FGR.5.6 Solve systems of quadratic and linear functions to determine points of intersection.

LT: 

• I can solve linear/quadratic systems algebraically

• I can solve linear/quadratic systems graphically

 SC:

• I can graph a linear equation

• I can graph a quadratic equation

• I can solve an equation that has a linear expression equal to a quadratic expression

Lesson/Activity: 

Engage: Review systems of linear equations

Explore: IXL Group Jam

Apply: IXL assignment on linear/quadratic systems

Reflect: TOTD

Resources: IXL

Thursday

AA.FGR.5.11 Using all the zeros of a polynomial function, list all the factors and multiply to write a multiple of the polynomial function in standard form.

LT: 

• I can use factors or roots to write a polynomial in standard form

 SC:

• I can use inverse operations to find a factor from a root

• I can multiply binomials

• I  can write solutions in standard form

Lesson/Activity: 

Engage: Order of operations puzzle warm-up

Explore: Guided notes on writing polynomials given real roots

Apply: IXL

Reflect: TOTD

Resources: IXL

Friday

AA.FGR.5.11 Using all the zeros of a polynomial function, list all the factors and multiply to write a multiple of the polynomial function in standard form.

LT: 

• I can use the rational root theorem and synthetic division to factor higher degree polynomials 

 SC:

• I can list possible factors

• I can use technology to find real roots

• I can use synthetic division to find additional roots 

Lesson/Activity: 

Engage: Review synthetic division

Explore: Guided notes on finding roots

Apply: Quizizz Assignment on Polynomial roots

Reflect: Quizizz, Week 14 Review

Resources: Week 14 Review