Before students can begin their studies of calculus, the physical sciences, accounting or any other subject which requires advanced mathematics; they first must know basic arithmetic. This workbook was prepared by the department of Mathematics at Scottsdale Community College to help students prepare for university-level mathematics courses.
The development team for the first edition, published in 2016, was Amy Volpe, Jenifer Bohart, Judy Sutor, Donna Slaughter and Martha Gould. This textbook includes 14 units; each of which has the main instructional content, media examples and problems. The authors mention an Appendix A with the answers but I was not able to find it. It might be only available for instructors.
Table of Contents for Arithmetic for College Readiness
- 1. Place Value and Whole Numbers
- 1.1 Using Base Blocks to Represent Whole Numbers
- 1.2 Decomposing and Regrouping Numbers
- 1.3 Writing Numbers in Various Forms
- 1.4 Extending Place Value to Larger Numbers
- 1.5 Writing Word Names for Large Numbers
- 1.6 Ordering Numbers Using Place Value
- 1.7 Rounding Numbers Using Place Value
- 1.8 Adding and Subtracting Whole Numbers
- 1.9 Multiplying Whole Numbers
- 1.10 Dividing Whole Numbers
- Practice Problems
- End of Unit Assessment
- 2. Integers
- 2.1 Integers and Their Applications
- 2.2 Plotting Integers on a Number Line
- 2.3 Absolute Value and Number Lines
- 2.4 Opposites and Number Lines
- 2.5 Ordering Integers Using Number Lines
- 2.6 Representing Integers Using Number Lines
- 2.7 The Language and Notation of Integers
- 2.8 Adding Integers
- 2.9 Subtracting Integers
- 2.10 Connecting Addition and Subtraction
- 2.11 Using Algorithms to Add and Subtract Integers
- 2.12 Multiplying Integers
- 2.13 Dividing Integers
- 2.14 Connecting Multiplication and Division
- 2.15 Using Algorithms to Multiply and Divide Integers
- Practice Problems
- End of Unit Assessment
- 3. Order of Operations and Properties
- 3.1 Addition, Subtraction and the Order of Operations
- 3.2 Multiplication, Division and the Order of Operations
- 3.3 The Order of Operations for +, -, X, /
- 3.4 Parentheses as a Tool for Changing Order
- 3.5 Exponents
- 3.6 PEMDAS and the Order of Operations
- 3.7 The Commutative Property
- 3.8 The Associative Property
- 3.9 The Distributive Property
- 3.10 Inverses, Identities, Ones and Zeros
- Practice Problems
- End of Unite Assessment
- 4. Divisibility, Factors and Multiples
- 4.1 Factors and Divisibility
- 4.2 Greatest Common Factor and Least Common Multiple
- 4.3 Prime and Composite Numbers
- 4.4 Prime Factorization, GCF, and LCM
- Practice Problems
- End of Unit Assessment
- 5. Introduction to Fractions
- 5.1 What is a Fraction?
- 5.2 Representing Unit Fractions
- 5.3 Composite Fractions
- 5.4 Improper Fractions and Mixed Numbers
- 5.5 Equivalent Fractions
- 5.6 Writing Fractions in Simplest Form
- 5.7 Comparing Fractions
- Practice Problems
- End of Unit Assessment
- 6. Operations with Fractions
- 6.1 Adding Fractions
- 6.2 Subtracting Fractions
- 6.3 Multiplying Fractions
- 6.4 Dividing Fractions
- 6.5 Signed Fractions and the Order of Operations
- Practice Problems
- End of Unit Assessment
- 7. Introduction to Decimals
- 7.1 What is a Decimal?
- 7.2 Place Value and Decimals
- 7.3 Plotting Decimals on the Number Line
- 7.4 Ordering Decimals
- 7.5 Rounding Decimals
- 7.6 Writing and Rounding Decimals in Applications
- Practice Problems
- End of Unit Assessment
- 8. Connecting Fractions and Decimals
- 8.1 Visualizing Converting Fractions to Decimals
- 8.2 Using Place Value to Convert Fractions to Decimals
- 8.3 Using Factoring to Convert Fractions to Decimals
- 8.4 Converting Decimals to Fractions
- 8.5 Comparing Decimals and Fractions
- Practice Problems
- End of Unit Assessment
- 9. Operations with Decimals
- 9.1 Adding Decimals Using the Area Model
- 9.2 Adding Decimals Using Place Value
- 9.3 Subtracting Decimals Using the Area Model
- 9.4 Subtracting Decimals Using the Place Value
- 9.5 Adding and Subtracting Signed Decimals
- 9.6 Multiplying Decimals Using the Area Model
- 9.7 Multiplying Decimals Using Place Value
- 9.8 Dividing Decimals Using the Area Model
- 9.9 Dividing Decimals Using Place Value
- 9.10 Multiplying and Dividing Decimals by Powers of 10
- 9.11 Decimal Operations on the Calculator
- 9.12 Applications with Decimals
- Practice Problems
- End of Unit Assessment
- 10. Multiplicative and Proportional Reasoning
- 10.1 Additive Versus Multiplicative Comparisons
- 10.2 Ratios and Their Applications
- 10.3 Ratios and Proportional Reasoning
- 10.4 Rates, Unit Rates, and Their Applications
- 10.5 Rates and Proportional Reasoning
- 10.6 Similarity and Scale Factors
- Practice Problems
- End of Unit Assessment
- 11. Percents
- 11.1 Introduction to Percents
- 11.2 Finding Percents Given an Amount and a Whole
- 11.3 Finding an Amount Given a Percent and a Whole
- 11.4 Finding the Whole Given a Percent and an Amount
- 11.5 Percent Increase and Decrease
- Practice Problems
- End of Unit Assessment
- 12. Systems of Measure and Unit Conversions
- 12.1 Understanding Dimension
- 12.2 Measuring Length
- 12.3 Measuring Area
- 12.4 Measuring Volume
- 12.5 Introduction to Converting Measures
- 12.6 Dimensional Analysis and U.S. Conversions
- 12.7 Unit Conversions in the Metric System
- 12.8 Conversions Between U.S. and Metric Measures
- Practice Problems
- End of Unit Assessment
- 13. Perimeter and Area
- 13.1 Perimeter
- 13.2 Circumference
- 13.3 Strategies for Finding Area
- 13.4 Formulas for Finding Area
- Practice Problems
- End of Unit Assessment
- 14. Volume and the Pythagorean Theorem
- 14.1 Volume of Prisms
- 14.2 Volume of a Cylinder
- 14.3 Volumes of Other Shapes
- 14.4 Introduction to the Pythagorean Theorem
- 14.5 Square Roots
- 14.6 Applying the Pythagorean Theorem
- Practice Problems
- End of Unit Assessment
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Arithmetic for College Readiness
