Matrix of Competencies

 

Arithmetic/Pre-Algebra
Beginning Algebra
Intermediate Algebra

 

 

Conventional Arithmetic Review Topics in Maricopa Mathematics Modules

Arithmetic Review Topic
Data & Graphs
Geometry
Probability
Linear Behavior
Beat Ratios

Whole number operations

Fraction operations

Decimal operations

Place value

 

Order of operations

 

Word problems

Evaluate arithmetic expressions

 

 

 

Ratio and proportion

Percent and percent problems

 

Reading bar, line, pie graphs

 

 

U.S. customary measurements

 

 

 

 

Metric measurement system

 

 

 

Geometry: angles and triangles

 

 

 

 

Signed number operations

 

 

 

Solve linear equations

 

 

 

 

Data & Graphs
Geometry
Probability
Linear Behavior
Beat Ratios

 

Conventional Beginning Algebra Topics in Maricopa Mathematics Modules

Introductory Algebra Topic
Linear Behavior
Representing Data
Functions
Sets & Logic
Systems
Sampling

Real number operations

Solve linear equations

 

 

Solve linear inequalities

 

 

 

 

Solve linear application problems

 

 

Polynomial operations

 

 

 

 

Factor polynomials

 

 

 

 

 

Solve polynomial equations

 

 

 

 

 

Operations on rational expressions

 

 

 

 

Solve rational equations

 

 

 

 

 

Solve systems of linear equations

 

 

 

 

 

Graph linear equations in two variables

 

 

 

Find slope and intercepts of linear equations

 

 

Develop function concept

 

 

 

Evaluate functions

 

 

 

 

 

Graph functions

 

 

 

 

 

Simplify radical expressions

 

 

 

 

 

Linear Behavior
Representing Data

Functions

Sets & Logic
Systems
Sampling

 

 

Conventional Intermediate Algebra Topics in Maricopa Mathematics Modules

Intermediate Algebra Topic

Functions
Exponential Growth & Decay
Non-linear Behavior
Patterns
Right Triangle Trigonometry
Finance

Solve linear equations and inequalities

 

 

Graph linear equations in two variables

 

 

 

 

 

Graph linear inequalities in two variables

 

 

 

 

 

 

Operations on polynomials

 

 

 

 

Application problems

 

Complex number operations

 

Solve quadratic equations

 

 

 

 

 

Absolute value equations
and inequalities

 

 

 

Simplify radical expressions

 

 

 

Solve equations with radicals

 

 

 

Solve and graph rational eqs.

 

 

 

 

Solve/graph exponential eqs.

 

 

 

 

Solve/graph logarithmic eqs.

 

 

 

 

 

Solve/graph systems of eqs.

 

 

 

 

 

Define function concept

 

 

Composition of functions

 

 

 

 

 

 

Find inverse functions

 

 

 

 

Transformations of functions

 

 

 

 

Solve problems involving parabolas, exponential and logarithmic functions

 

 

Functions

Exponential Growth & Decay
Non-Linear Behavior
Patterns
Right Triangle Trigonometry
Finance