In this course, students will learn that numbers, measures, expressions, and equations can represent mathematical situations and structures in many equivalent forms. There are some mathematical relationships that are always true. These relationships are used as the rules of arithmetic and algebra and are useful for writing equivalent forms of expressions and solving equations. Concepts taught include applying number theory concepts to show relationships between real numbers in problem-solving settings, using exponents, roots, and /or absolute values to solve problems, and using estimation strategies in problem-solving situations. Students will simplify expressions involving polynomials.

Students will learn to represent and/or use numbers in equivalent forms, write or solve compound inequalities and/or graph their solution sets on a numbers line (may include absolute value inequalities). In addition, they will be taught to identify or graph the solution set to a linear inequality on a number line, write and/or solve a system of linear equations (including problem situations) using graphing, and interpret solutions to problems in the context of the problem situation.

**PRE-REQUISITES:** None

**ESTIMATED COMPLETION TIME:** 16-18 weeks or approximately 65 – 75 hours

**MAJOR TOPICS AND CONCEPTS **

Operations with Real Numbers

- Represent and Use Numbers in Equivalent Forms
- Simplifying Square Roots
- Finding the Greatest Common Factor and Least Common Multiple

Expressions

- Using Exponents, Roots and Absolute Value
- Using Estimation to Solve Problems
- Simplify Expressions Involving Polynomials

Linear Equations

- Write, Solve, and Graph Linear Equations
- Write, Solve, and Graph Systems of Linear Equations

Linear Equalities

- Compound Inequalities
- Systems of Inequalities

Functions

- Analyzing and Using Patterns or Relations
- Interpreting and Using Linear Functions and Equations, Graphs, and Tables

Coordinate Geometry

- Rate of Change and Slope
- Writing Linear Equations
- Scatter Plots and Lines of Best Fit

Data Analysis

- Using Measures of Dispersion to Describe a Set of Data
- Use Data Displays in Problem Solving Settings & To Make Predictions
- Probability of Compound Events

**LINKS TO FULL COURSE CURRICULUM MAPS**