Advanced Algebra Agenda: Polynomials Week 3

Week of: 4/21

*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 and 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.AA.FGR.5.4 Use the structure of an expression to factor quadratics. AA.FGR.5.5 Write and solve quadratic equations and inequalities with real coefficients and use the solution to explain a contextual situation.AA.FGR.5.6 Solve systems of quadratic and linear functions to determine points of intersection.AA.FGR.5.8 Identify the number of zeros that exist for any polynomial based upon the greatest degree of the polynomial and the end behavior of the polynomial by observing the sign of the leading coefficient. 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: 

 SC:

Lesson/Activity: 

Engage: 

Explore: 

Apply: Week 15 Review

Reflect: 

Resources: Week 15 Review