Written by: Scottsdale Community College Mathematics Department

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.

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
2.9 Subtracting Integers
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
6.2 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
10.2 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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