Clear and Understandable Math

# GED Math Prep

This course is targeted for those students that need to strengthen their math skills to pass the GED test. No requirement is needed for students to take this course, but strong arithmetic skills are vital.

Time is taken to explain fraction and decimals, basic number operations, variables and order of operations. Additionally, the course focuses on building a student's skill and confidence to work with positive/negative numbers and fractions. Other parts of the course teach students in a step-by-step manner how to solve equations and inequalities. The topic of graphing lines is covered in depth along with writing the equation to a line.

Latter parts of the course cover powers, percents, ratios, proportions with a focuses on application and word problems. Basic systems and matrix operations are also explained at the appropriate level. Lastly, the course reviews key geometry concepts to include area, surface area, volume and circles. The Distance and Mid-Point formulas are explained along with the Pythagorean Theorem.

### Chapter 1: Fractions and Decimals

This chapter reviews how to work with fractions. Although it is assumed students posses these skills, time is taken to ensure the student has mastered the procedures to perform operations involving fractions.

### Sections:

• Introduction to Fractions and Decimals

• Least Common Multiple/Denominator

• Multiplying and Dividing Fractions

### Chapter 2: Positive and Negative Numbers

This chapter focuses on getting the student to master working with the positive and negative numbers (also called Real Numbers). Students learn the different type of numbers that make up the Real Number system. The rules of integers will be reinforced through many practice examples.

### Sections:

• Real Numbers/Simplifying Variable Expressions

• Real Number System

• Subtracting Real Numbers

• Multiplying and Dividing Real Numbers

### Chapter 3: Order of Operations and Variables

This chapter introduces students to basic terms and concept used in Algebra. Time is taken to ensure the student understands basic number operations, order of operations, variables and their applications. There is also section explaining key phrases in the language of algebra and how to translate a verbal phrase into an algebraic phrase.

### Sections:

• Number Operations

• Variables

• Order of Operations

• Translating Verbal and Algebraic Phrases

### Chapter 4: Simplifying Algebraic Expressions

Students will learn how to apply the Distributive Property and simplify variable expressions by combining like terms. Special emphasis is placed on know how to determine when terms are “like terms.” Many examples are explained as simplifying variable expressions is critical to understanding other areas of algebra.

### Sections:

• Distributive Property

• Simplifying by Combining Like Terms

### Chapter 5: Solving Equations

This chapter breaks down the steps to solve multi-step linear equations. Students will build up their skills as they progress from one and two-step equations to more advance equations. Core concepts involved will be reviewed to include the Distributive Property and combining like terms.

### Sections:

• Basic Concepts of Equations/Inequalities/Solutions

• One Step Equations

• Solving Two Step Equations

• Solving Multi-Step Equations

• Formulas and Literal Equations

### Chapter 6: Slope and Graphing Lines

This very important chapter walks the student step-by-step to master how to graph linear equations. Concepts involving the coordinate plane, slope and methods to graph lines are thoroughly reviewed and introduced. The second part of the chapter will teach students how to find the equation of a line using various methods and techniques. Lastly, students will apply their knowledge of linear equations to finding the best fitting lines, linear models and word problems.

### Sections:

• Graphing Lines with One Variable

• Graphing Lines with Two Variables

• The Slope of a Line

• Slope Intercept Method

• XY Intercept Method

• Finding the Equation of a Line using the y=mx+b method

• Find the Equation of a Line- Point Slope Formula

• Find the Equation of a Line- Given Slope and Point

• Find the Equation of a Line- Given Two Points

• Finding the Best Fitting Line

• Linear Models/Word Problems

### Chapter 7: Understanding Inequalities

Students use their skills to solve equations to solve linear inequalities. Basic concepts and terms are introduced first along with how to graph inequalities. A special emphasis is placed on the difference between equations and inequalities.

### Sections:

• Basic Concepts of Equations/Inequalities/Solutions

• Linear Inequalities

• Compound Inequalities

### Chapter 8: Powers and Exponents

This chapter covers all the rules the student will need to work with powers and exponents in Algebra. Also, important applications of these rules are coved to include scientific notation, compound interest and exponential growth and decay.

### Sections:

• Product and Power Rules of Exponents

• Negative and Zero Exponents Rules

• Division Rules of Exponents

• Scientific Notation

• Compound Interest

• Exponential Growth and Decay

### Chapter 9: Percent, Rates, Ratio and Proportions

This chapter goes over each of the specific concepts of ratios and proportions, percent, and variation. A strong emphasis is placed on word problems and practical applications of the topics. Also, a section is dedicated to explain how to work with variable rational expressions.

### Sections:

• Ratio and Proportions

• Understanding Percent

• Direct and Inverse Variation

• Simplifying Rational Expressions

### Chapter 10: Systems and Basic Matrix Operations

Understanding systems and the methods to solve them are vital in Algebra. This chapter introduces/reviews techniques to solve linear systems. Lastly, the topic of matrices will be introduced. Students will understand the “real world” applications of matrices and basic matrix operations.

### Sections:

• Solving Systems by Graphing

• Solving Systems Substitution Method

• Solving Systems by Elimination/Linear Combination

• Introduction to Matrices

• Basic Matrix Operations

### Chapter 11: Geometry

Understanding basic geometry concepts is critical to passing the GED. This chapter covers some of the most common geometry topics that a GED student should know. These would include circles, circumference, area, surface are, volume, Distance and Mid-Point Formula. There is also a section covering Right Triangles and the Pythagorean Theorem.

### Sections:

• Circles: Area and Circumference

• Area of Basic Figures

• Surface Area of Basic Figures

• Volume of Basic Figures

• The Distance and Mid-Point Formula

• The Pythagorean Theorem