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Prealgebra, by definition is the transition from arithmetic to algebra. Miller/O’Neill/Hyde Prealgebra will introduce algebraic concepts early and repeat them as student would work through a Basic College Mathematics (or arithmetic) table of contents. Prealegbra is the ground work that’s needed for developmental students to take the next step into a traditional algebra course.
According to our market Julie and Molly’s greatest strength is the ability to conceptualize algebraic concepts. The goal of this textbook will be to help student conceptualize the mathematics and it’s relevancy in everything from their daily errands to the workplace.
Prealgebra can be considered a derivative of Basic College Mathematics. One new chapter introducing the variable and equations is needed. Each subsequent chapter is basic mathematics/arithmetic content with additional sections containing algebra incorporated throughout.
Table of contents
Chapter 1 Whole Numbers Section 1.1 Study Tips Group Activity – Becoming a Successful Student Section 1.2 Introduction to Whole Numbers Section 1.3 Addition and Subtraction of Whole Numbers and Perimeter Section 1.4 Rounding and Estimating Section 1.5 Multiplication of Whole Numbers and Area Section 1.6 Division of Whole Numbers Problem Recognition Exercises – Operations on Whole Numbers Section 1.7 Exponents, Variables, and the Order of Operations Section 1.8 Mixed Applications and Computing Mean
Chapter 2 Integers and Algebraic Expressions Section 2.1 Integers, Absolute Value, and Opposite Section 2.2 Addition of Integers Section 2.3 Subtraction of Integers Section 2.4 Multiplication and Division of Integers Problem Recognition Exercises – Operations on Integers Section 2.5 Order of Operations and Algebraic Expressions Group Activity – Checking Weather Conditions
Chapter 3 Solving Equations Section 3.1 Simplifying Expressions and Combining Like Terms Section 3.2 Addition and Subtraction Properties of Equality Section 3.3 Multiplication and Division Properties of Equality Section 3.4 Solving Equations with Multiple Steps Problem Recognition Exercises – Simplifying Expressions and Solving Equations Section 3.5 Applications and Problem Solving Group Activity – Constructing Linear Equations
Chapter 4 Fractions and Mixed Numbers Section 4.1 Introduction to Fractions and Mixed Numbers Section 4.2 Simplifying Fractions Section 4.3 Multiplication and Division of Fractions Section 4.4 Least Common Multiple and Equivalent Fractions Section 4.5 Addition and Subtraction of Fractions Section 4.6 Estimation and Operations on Mixed Numbers Problem Recognition Exercises – Operations on Fractions and Mixed Numbers Section 4.7 Order of Operations and Complex Fractions Section 4.8 Solving Equations Containing Fractions Problem Recognition Exercises – Comparing Equations and Expressions Group Activity – Card Games with Fractions
Chapter 5 Decimals Section 5.1 Decimal Notation and Rounding Section 5.2 Addition and Subtraction of Decimals Section 5.3 Multiplication of Decimals and Applications with Circles Section 5.4 Division of Decimals Problem Recognition Exercises – Operations on Decimals Section 5.5 Fractions, Decimals, and the Order of Operations Section 5.6 Solving Equations Containing Decimals Section 5.7 Mean, Median, and Mode Group Activity – Purchasing from a Catalog
Chapter 6 Ratio and Proportion Section 6.1 Ratios Section 6.2 Rates Problem Recognition Exercises: Operations on Fractions Versus Solving Proportions Section 6.3 Proportions Section 6.4 Applications of Proportions and Similar Figures Group Activity – Investigating Probability
Chapter 7 Percents Section 7.1 Percents, Fractions, and Decimals Section 7.2 Percent Proportions and Applications Section 7.3 Percent Equations and Applications Problem Recognition Exercises – Percents Section 7.4 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease Section 7.5 Simple and Compound Interest Group Activity – Tracking Stocks
Chapter 8 Measurement and Geometry Section 8.1 U.S. Customary Units of Measurement Section 8.2 Metric Units of Measurement Section 8.3 Converting Between U.S. Customary and Metric Units Problem Recognition Exercises – U.S. Customary and Metric Conversions Section 8.4 Medical Applications Involving Measurement Section 8.5 Lines and Angles Section 8.6 Triangles and the Pythagorean Theorem Section 8.7 Perimeter, Circumference, and Area Problem Recognition Exercises – Area, Perimeter, and Circumference Section 8.8 Volume and Surface Area Group Activity – Remodeling the Classroom
Chapter 9 Graphs and Statistics Section 9.1 Rectangular Coordinate System Section 9.2 Graphing Two Variable Equations Section 9.3 Tables, Bar Graphs, Pictographs, and Line Graphs Section 9.4 Frequency Distributions and Histograms Section 9.5 Circle Graphs Section 9.6 Introduction to Probability Group Activity – Creating a Statistical Report
Chapter 10 Exponents and Polynomials Section 10.1 Addition and Subtraction of Polynomials Section 10.2 Multiplication Properties of Exponents Section 10.3 Multiplication of Polynomials Problem Recognition Exercises – Operations on Polynomials and Exponential Expressions Section 10.4 Introduction to Factoring Section 10.5 Negative Exponents and the Quotient Rule for Exponents Section 10.6 Scientific Notation Group Activity – Evaluating and Interpreting a Polynomial Model