## Course title

MAT## Pre-requisite

functions 1## Course description

Students will learn and apply algebraic concepts to solve real-world problems.

Prerequisite: Functions 1

Students will be helped to visualize; represent; model and solve problems that involve applications with business and science as well as make connections within the field of mathematics. The focus of the course will include topics such as quadratic; polynomial; rational; radical; and exponential functions.

1. Polynomial Functions

a. Sums; Difference and Products of linear functions

i. Symbolically

ii. Graphically

b. Behavior of graphs

c. Quadratic Functions

i. Graphs

1. Key Characteristics (Maximum; minimum; intercepts; symmetry; vertex; end-behavior)

2. Domain and Range

3. Standard Form

4. Vertex Form

a. Translations; reflections and dilations

ii. Solving Equations

1. By Factoring

2. Using Roots

3. Quadratic Formula

a. Complex Numbers

d. Sums; Differences and Products of linear and non-linear functions

i. Symbolically

ii. Graphically

1. Key Characteristics [degree; maximum; minimum; intercepts; symmetry (even or odd); end-behavior]

2. Domain and Range

iii. Be able to write the equation of a polynomial function given the degree and information about its roots

iv. Solving Polynomial Equations

1. Graphing (technology)

2. Factoring cubic equations

2. Rational Functions

a. Symbolically

b. Graphically

1. Key Characteristics (Maximum; minimum; intercepts; symmetry; vertex; end-behavior)

2. Domain and Range

3. Radical Functions

a. Symbolically

b. Graphically

1. Key Characteristics (Maximum; minimum; intercepts; symmetry; vertex; end-behavior)

2. Domain and Range

4. Exponential Functions

a. Symbolically

b. Graphically

1. Key Characteristics (Maximum; minimum; intercepts; symmetry; vertex; end-behavior)

2. Domain and Range

5. Combinations of Functions

a. Composition

b. Inverse

c. Combinations

6. Sequences and Series

a. Arithmetic

1. Explicit formula

2. Recursive formula

3. Sums of finite series

b. Geometric

1. Explicit formula

2. Recursive formula

3. Sums of finite series

c. Sigma Notation

## School country

United States## School state

Arizona## School city

Gilbert## School / district Address

140 S. Gilbert Rd.## School zip code

85296## Requested competency code

Math## Date submitted

## Approved

Yes## Approved competency code

- MTHA
- 4 years of Math