**Title:** Discover the Roots of a Polynomial Function

**Description:**
In this lesson, students will be re-introduced to the Four Step Problem - Solving Plan. The plan will be used as a 'checks and balance' tool for discovering the roots (solutions) of polynomial functions. Students will:
*Explore the problem - identify what is given and what they are asked to find.
*Develop a plan - look for a pattern, make a model, solve a simpler but related problem.
*Solve the problem - carry out the plan
*Examine the solution - check the results with the conditions in the problem, check the reasonableness of the solution
**Standard(s): **

[MA2015] AL2 (9-12) 17: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. [A-APR3]

**Subject:**Mathematics (9 - 12)

**Title:**Discover the Roots of a Polynomial Function

**Description:**In this lesson, students will be re-introduced to the Four Step Problem - Solving Plan. The plan will be used as a 'checks and balance' tool for discovering the roots (solutions) of polynomial functions. Students will: *Explore the problem - identify what is given and what they are asked to find. *Develop a plan - look for a pattern, make a model, solve a simpler but related problem. *Solve the problem - carry out the plan *Examine the solution - check the results with the conditions in the problem, check the reasonableness of the solution

**Title:** Investigating Parabolas in Standard Form

**Description:**
Students explore the coefficients of a quadratic function using a graphing calculator. This is an inquiry lesson to be used as an introduction to translations and dilations of functions.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
**Standard(s): **

[MA2015] ALT (9-12) 34: Identify the effect on the graph of replacing *f*(*x*) by *f*(*x*) + *k*, *k* *f*(*x*), *f*(*kx*), and *f*(*x* + *k*) for specific values of *k* (both positive and negative); find the value of *k* given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
[F-BF3]

**Subject:**Mathematics (9 - 12), or Technology Education (9 - 12)

**Title:**Investigating Parabolas in Standard Form

**Description:**Students explore the coefficients of a quadratic function using a graphing calculator. This is an inquiry lesson to be used as an introduction to translations and dilations of functions.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.

**Title:** Building Connections

**Description:**
In this lesson, from Illuminations, students make connections among different classes of polynomial functions by exploring the graphs of these functions. The questions in the activity sheets allow students to make connections between the x-intercepts of the graph of a polynomial and the polynomial's factors. This activity is designed for students who already have a strong understanding of linear functions, some knowledge of quadratic functions, and what is meant by a polynomial function.
**Standard(s): **

[MA2015] AL2 (9-12) 17: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. [A-APR3]

**Subject:**Mathematics

**Title:**Building Connections

**Description:**In this lesson, from Illuminations, students make connections among different classes of polynomial functions by exploring the graphs of these functions. The questions in the activity sheets allow students to make connections between the x-intercepts of the graph of a polynomial and the polynomial's factors. This activity is designed for students who already have a strong understanding of linear functions, some knowledge of quadratic functions, and what is meant by a polynomial function.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12