1 Numbers and Operations

Natural Numbers and Whole Numbers

Integers

Rational, Irrational, and Real Numbers

Terminology for the Four Basic Operations

Division Involving Zero

Properties of Real Numbers

2 Integers

Comparing Integers

Absolute Value

Adding Signed Numbers

Subtracting Signed Numbers

Use of the – Symbol

Multiplying Signed Numbers

Dividing Signed Numbers

3 Exponents

Exponential Notation

Natural Number Exponents

Zero Exponents

Negative Exponents

4 Order of Operations

Grouping Symbols

PEMDAS

5 Fractions

Fraction Concepts

Reducing Fractions to Lowest Form

Equivalent Fractions

Adding and Subtracting Fractions

Multiplying and Dividing Fractions

Working with Mixed Numbers and Improper Fractions

6 Decimals

Decimal Concepts

Adding and Subtracting Decimals

Multiplying Decimals

Dividing Decimals

Rounding Decimals

7 Percents

Percent Concepts

Changing Percents to Decimal Form

Changing Decimals to Percent Form

Changing Percents to Fraction Form

Changing Fractions to Percent Form

Common Percents to Know

8 Units of Measurement

Metric System Prefixes

US Customary and Metric Units

Denominate Numbers

Converting Units of Denominate Numbers

Shortcut for Converting Within the Metric System

Using a “Chain” of Conversion Fractions

Converting Money to Different Denominations

Rough Equivalencies for the Metric System

Reading Measuring Instruments

Determining Unit Price

9 Ratios and Proportions

Ratio Concepts

Proportion Concepts

Solving Proportions

Solving Application Problems Involving Proportions

Using Proportions to Solve Percent Problems

10 Roots and Radicals

Square Roots

Principal Square Roots and Radicals

Perfect Squares

Cube Roots

11 Algebraic Expressions

Algebraic Terminology

Evaluating Algebraic Expressions

Dealing with Parentheses

12 Formulas

Definition of Formula

Evaluating Formulas

13 Polynomials

Terms and Monomials

Polynomials

Like Terms

Adding and Subtracting Monomials

Simplifying Polynomial Expressions

Adding Polynomials

Subtracting Polynomials

14 Solving Equations

Equation Terminology

Solving Equations

Translating and Solving Word Equations

Writing Equations to Solve Percent Problems

15 Informal Geometry

Congruence

Similarity

Symmetry

Angles

Lines

Polygons

Triangles

Quadrilaterals

Parts of a Circle

Solid Figures

16 Perimeter, Area, and Volume

Perimeter

Perimeter of Special Shapes

Area

Surface Area

Volume

17 Pythagorean Theorem

Right Triangle Concepts

Pythagorean Theorem

Converse of the Pythagorean Theorem

18 Counting and Probability

Counting Methods

Basic Probability Concepts

Probability When Drawing with or Without Replacement

Probability for Independent Events

19 Mean, Median, Mode, and Range

Mean

Weighted Average

Median

Mode

Range

20 Graphical Representation of Data

Pictographs

Bar Graphs

Circle Graphs

Line Graphs

Stem-and-Leaf Plots

Histograms

Dot Plots

Answer Key

Index