Pre-algebra involves becoming familiar with using mathematical expressions and equations that include numbers in various forms, such as fractions and decimals. The goal of the Pre-Algebra series is to develop skills in pre-algebra, or the mathematical skills needed to begin solving problems in algebra. This second pre-algebra course has students work with mathematical expressions and equations that involve decimals, fractions, and integers as variables. It also introduces the coordinate plane and probability.

**Prerequisites: **successful completion of the course "Practical Math 2," OR instructor's approval based on placement test.

Course MTH-306. Media: B or LP. Lessons: 6 chapters, 11 assignments.

## Pre-Algebra 2

### Course ID: MTH-306

### Audience

Adult Continuing Education and High School Programs

### Course Description

Getting ready for algebra is a big step. It means making connections between arithmetic and specific mathematical skills. The goal of this Pre-Algebra series is to develop skills in pre-algebra, or the mathematical skills needed to begin solving problems in algebra. In particular, pre-algebra involves becoming familiar with using mathematical expressions and equations that include numbers in various forms, such as fractions and decimals. This second pre-algebra course has students work with mathematical expressions and equations that involve decimals, fractions, and integers as variables. It also introduces the coordinate plane and probability. Working through and reviewing topics in arithmetic will help students develop skills they can use in algebra.

Organization

Six chapters, eleven assignments

Credit

Students who successfully complete both "Pre-Algebra 1" and "Pre-Algebra 2" earn 1 high school credit or Carnegie Unit.

Prerequisites

To enroll in this class, a student needs one of the following prerequisites:

- successful completion of the course "Practical Math 2," OR

- instructor's approval based on placement test

Overview

Students submit eleven assignments to the instructor.

Grading

Letter grades

Objectives and Content

Chapter 5 Decimals and Algebra

Objectives: After completing this lesson, the student will be able to

a. use place value in decimals

b. round decimals

c. add and subtract decimals

d. multiply decimals

e. multiply decimals by moving the decimal point

f. divide decimals

g. divide decimals by moving the decimal point

h. use scientific notation to write numbers

i. simplify variable expressions that contain decimals

j. evaluate variable expressions that contain decimals

k. solve equations that contain decimals

Chapter 6 Add, Subtract, Multiply and Divide Fractions in Algebra

Objectives: After completing this lesson, the student will be able to

a. evaluate variable expressions that contain fractions, mixed numbers, and addition or subtraction

b. solve variable expressions that contain fractions, mixed numbers, and addition or subtraction

c. simplify variable expressions that contain fractions for coefficients

d. evaluate variable expressions that contain fractions, mixed numbers, and multiplication or division

e. solve variable expressions that contain fractions, mixed numbers, and multiplication or division

Chapter 7 Integers

Objectives: After completing this lesson, the student will be able to

a. identify and compare integers using >, <, and =

b. find the absolute value of an integer

c. use a number line to add integers

d. use absolute value to add integers

e. use absolute value to subtract integers

f. use absolute value to multiply integers

g. use absolute value to divide integers

Chapter 8 Integers and Algebra

Objectives: After completing this lesson, the student will be able to

a. simplify variable expressions that contain integers

b. evaluate variable expressions that contain integers

c. solve equations that contain integers

d. graph inequalities

e. solve inequalities using addition or subtraction

f. solve inequalities using multiplication or division

Chapter 9 The Coordinate Plane

Objectives: After completing this lesson, the student will be able to

a. use the coordinate axes to give the location of a point on the coordinate plane

b. graph ordered pairs on the coordinate plane

c. find three ordered pairs for an equation

d. use a calculator to find ordered pairs

Chapter 10 Topics from Probability

Objectives: After completing this lesson, the student will be able to

a. use counting to find the number of choices

b. find the number of permutations for an event

c. find the number of combinations for an event

d. find the probability of an event

e. find the probability of complementary events

f. find the probability of independent events

g. find the probability of dependent events

h. apply concepts and skills of probability to find empirical probability