# Algebraic Functions 1

Course Title:
MAT
Course Description:

Prerequisite: Math Topics 3/4

Students will learn and apply algebraic concepts to solve real-world problems. 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 absolute value, rate of change, linear functions and systems of equations and inequalities.

a. Words into Symbols - write expressions from a given situation
b. Simplify & evaluate expressions
i. Laws of exponents
ii. Rational and negative exponents
c. Solving Equations
d. Solving Inequalities
e. Absolute Value
i. Equations
ii. Inequalities
2. Functions
a. Definition
b. Vocabulary terms (input, output, independent, dependent)
c. Multiple Representations (symbolic, tabular, numeric and graphic)
d. Behavior (increasing, decreasing, constant - be able to name intervals on which each occurs)
e. Domain and Range (only in context of the representations listed in b - domain and range of functions that students are currently learning)
3. Rate of Change
a. What is a rate? - May need to go back to basics
b. Calculate rate of change from tables and graphs
c. Continue to reinforce behavior of graphs, have students use terminology when describing graphs
d. Make a connection between constant rate of change and linear graphs
e. Create graphs modeling a given situation and describe in words the information given in a graph
4. Linear Functions
a. Terminology: slope, intercepts
b. Domain and Range
c. Write equations of lines from given situations (graphs, tables, ordered pairs or words)
i. Slope-Intercept Form
ii. Point-Slope Form
iii. Standard Form
d. Motivate the need for different forms of lines through application problems
e. Piece-wise Defined Functions
i. Graph given equations
ii. Write equation given graph or word problem
iii. Identify Domain (points of discontinuity) and Range
iv. Absolute Value
f. Inequalities
i. Graphs
ii. Write inequality given word problem or graph
iii. Identify Domain and Range
iv. Absolute Value
5. Systems
a. Terminology
b. Types of Systems
c. Methods of Solving Systems
i. Graphically
ii. Substitution
iii. Elimination
iv. Matrices
d. Extend to 3 equations and 3 variables
e. Systems of Inequalities

School Information:
District:
Gilbert Public Schools
State:
AZ
City:
Gilbert
140 S. Gilbert Rd.
Zip code:
85296
Yes

### Requested competency code:

Approved:
Approved:
Yes
Date:
Thursday, November 12, 2009

### Approved competency code:

Denied:
Deferred:
Deferred:
Yes
Reason:

What are the course prereqs?