Prealgebra

(NOTE: Each chapter ends with Highlights, Review, and Test. Chapters 2-10 also end with a Cumulative Review.)

1. Whole Numbers and Introduction to Algebra.


Tips for Success in Mathematics. Place Value and Names for Numbers. Adding Whole Numbers and Perimeter. Subtracting Whole Numbers. Rounding and Estimating. Multiplying Whole Numbers and Area. Dividing Whole Numbers. Integrated Review—Operations on Whole Numbers. Exponents and Order of Operations. Introduction to Variables and Algebraic Expressions.



2. Integers.


Introduction to Integers. Adding Integers. Subtracting Integers. Integrated Review—Integers. Multiplying and Dividing Integers. Order of Operation.



3. Solving Equations and Problem Solving.


Simplifying Algebraic Expressions. Solving Equations: The Addition Property. Solving Equations: The Multiplication Property. Integrated Review—Expressions and Equations. Solving Linear Equations in One Variable. Linear Equations in One Variable and Problem Solving.



4. Fractions.


Introduction to Fractions and Equivalent Fractions. Factors and Simplest Form. Multiplying and Dividing Fractions. Adding and Subtracting Like Fractions and Least Common Denominator. Adding and Subtracting Unlike Fractions. Integrated Review—Operations on Fractions. Complex Fractions and Review of Order of Operations. Solving Equations Containing Fractions. Operations on Mixed Numbers.



5. Decimals.


Introduction to Decimals. Adding and Subtracting Decimals. Multiplying Decimals and Circumference of a Circle. Dividing Decimals. Integrated Review—Operations as Decimals. Estimating and Order of Operations. Fractions and Decimals. Equations Containing Decimals. Square Roots and the Pythagorean Theorem.



6. Ratio and Proportion.


Ratios. Rates. Proportions. Integrated Review—Ratio, Rate, and Proportion. Proportions and Problem Solving. Congruent and Similar Triangles.



7. Percent.


Percents, Decimals, and Fractions. Solving Percent Problems with Equations. Solving Percent Problems with Proportions. Integrated Review—Percent and Percent Problems. Applications of Percent. Percent and Percent Problem Solving: Sales Tax, Commission, and Discount. Percent and Problem Solving: Interest.



8. Graphing and Introduction to Statistics.


Reading Pictographs, Bar Graphs, and Line Graphs. Reading Circle Graphs. The Rectangular Coordinate System. Integrated Review—Reading Graphs and the Rectangular Coordinate System. Graphing Linear Equations. Mean, Median, and Mode. Counting and Introduction to Probability.



9. Geometry and Measurement.


Lines and Angles. Linear Measurement. Perimeter. Area and Volume. Integrated Review—Geometry Concepts. Weight and Mass. Capacity. Conversions between Metric and US Systems.



10. Polynomials.


Adding and Subtracting Polynomials. Multiplication Properties of Exponents. Integrated Review—Operations as Polynomials. Multiplying Polynomials. Introduction to Factoring Polynomials.



Appendices.


Percents, Decimals and Fraction Equivalent Table. Table of Square Roots. Compound Interest Table. Review of Geometric Figures. Review of Volume and Surface Area. Energy U.S. and Metric Systems of Measurement. Page 2 of 2