Overview
Main description
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
