### Singapore Math

# Singapore Math Dimensions Math Workbook 7A

**Workbooks are the essential supplements to textbooks as they give students the opportunity to practice applying new concepts. Workbook exercises polish analytical skills and help students develop a stronger foundation in math through repetition and variation.Features & Components:**

Basic Practice: Simple questions that drill comprehension of concepts. Further Practice: More difficult questions that involve direct application. Challenging Practice: Questions that require synthesis. Enrichment: Questions that demand higher order thinking, analysis, and reasoning.

The answer key at the back of the book provides answers only. Workbook Solutions (sold separately) contain fully worked solutions.

Note: Two workbooks (A and B) correspond to the two halves of the school year. Soft cover.

**Dimensions Math ^{®} Textbook 7A**Chapter 1: Factors and Multiples

1.1 Factors and Multiples

A. Factors

B. Multiples

1.2 Prime Factorization and Exponential Notation

A. Prime Factorization

B. Exponential Notation

1.3 Greatest Common Factor (GCF)

1.4 Least Common Multiple (LCM)

1.5 Square Roots and Cube Roots

A. Square Roots

B. Cube Roots

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Chapter 2: Real Numbers

2.1 Idea of Negative Numbers and the Number Line

A. Negative Numbers

B. The Number Line

C. Absolute Value

2.2 Addition and Additive Inverse

A. Addition of Integers

B. Additive Inverse

2.3 Subtraction and Absolute Value of the Difference

A. Subtraction of Integers

B. Absolute Value of the Difference

2.4 Multiplication, Division, and Combined Operations of Integers

A. Multiplication of Integers

B. Division of Integers

C. Combined Operations of Integers

2.5 Rational Numbers

A. Definition

B. Addition and Subtraction of Rational Numbers

C. Multiplication and Division of Rational Numbers

2.6 Real Numbers and Use of Calculators

A. Real Numbers

B. Use of Calculators

2.7 Rounding Numbers to Decimal Places

A. Idea of Rounding

B. Rounding Numbers to Decimal Places

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Chapter 3: Introduction to Algebra

3.1 The Use of Letters in Algebra

A. The Use of Letters

B. Basic Notations in Algebra

C. Exponential Notation

3.2 Evaluation of Algebraic Expressions and Formulas

A. Evaluation of Algebraic Expressions

B. Formulas

3.3 Writing Algebraic Expressions to Represent Real-world Situations

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Chapter 4: Algebraic Manipulation

4.1 Like Terms and Unlike Terms

4.2 Distributive Law, Addition and Subtraction of Linear Algebraic Expressions

A. Use of Parentheses

B. Addition and Subtraction of Linear Algebraic Expressions

4.3 Simplification of Linear Algebraic Expressions

4.4 Factorization by Extracting Common Factors

4.5 Factorization by Grouping Terms

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Chapter 5: Simple Equations in One Variable

5.1 Simple Linear Equations in One Variable

5.2 Equations Involving Parentheses

5.3 Simple Fractional Equations

5.4 Forming Linear Equations to Solve Problems

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Chapter 6: Ratio, Rate, and Speed

6.1 Ratios Involving Rational Numbers

A. Meaning of Ratio

B. Simplification of Ratios

C. Ratio of Three Quantities

D. Problems Involving Ratios

6.2 Average Rate

6.3 Speed

A. Uniform Speed and Average Speed

B. Conversion of Units

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Chapter 7: Percentage

7.1 Meaning of Percentage

A. Introduction

B. Expressing One Quantity as a Percentage of Another

7.2 Reverse Percentages

7.3 Percentage Increase and Decrease

A. Percentage Increase

B. Percentage Decrease

7.4 Discount and Sales Tax

A. Discount

B. Sales Tax

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Chapter 8: Angles, Triangles, and Quadrilaterals

8.1 Points, Lines, and Planes

8.2 Angles

A. Angles and Measurements

B. Types of Angles

C. Complementary, Supplementary, and Adjacent Angles

D. Properties of Angles

8.3 Perpendicular Bisectors and Angle Bisectors

A. Use of Compasses

B. Perpendicular Bisectors

C. Angle Bisectors

8.4 Triangles

A. Classification of Triangles

B. Construction of Triangles

8.5 Quadrilaterals

A. Types of Quadrilaterals

B. Properties of Special Quadrilaterals

C. Construction of Quadrilaterals

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Answers

Note: The answer key in the first printing of Textbook 7A has some errors in it. Please download revised key from here. Please note that not all the answers are incorrect in the first printing answer key, and incorrect answers are highlighted in this corrected answer key. We apologize for the inconvenience caused.

Click here to view Dimensions Math^{®} Workbook 7A samples.