# Integrated Math 1

## Course Description

In Integrated Math 1, students use arithmetic properties of subsets of integers, rational, irrational and real numbers by simplifying expressions, solving linear equations and inequalities, graphing equations, finding the equation of a line, working with monomials and polynomials, and factoring and completing the square. Students use properties of the number system to judge the validity of results, justifying each step of the procedure to prove or disprove statements. Students compute perimeter, circumference, area, volume, and surface area of geometric figures. Students also use basic trigonometric functions defined by the angles of a right triangle.

## Course Requirements

#### Grade Level

9

#### Materials

None

#### Duration

2 Semesters

#### Credit Value

1.0

#### Prerequisites

None

## Semester A

#### Major Concepts

- Algebraic Expressions
- Operations with Real Numbers
- Properties of Real Numbers
- Basic Statistics Measures
- Solving Simple and Multi-Step Equations
- Linear Functions and Graphs
- Solving Inequality Equations

## Semester B

#### Major Concepts

- Exponents and Scientific Notation
- Arithmetic and Geometric Sequences
- Operations with Polynomials
- Systems of Equations
- Factoring Polynomials
- Quadratic Functions and Graphs
- Higher-Order Polynomials
- Data Analysis and Probability
- Exponential and Radical Equations
- Rational Functions and Equations