# Singapore Math

## Grade Seven Content

US Edition Book Textbook 6B and Dimensions books Textbooks 7A & 7B

*Dimensions*

**Book 7A:** Chapter 1: Factors and Multiples

1.1 Factors and Multiples

- Factors
- Multiples

1.2 Prime Factorization and Exponential Notation A. Prime Factorization

- Exponential Notation

1.3 Greatest Common Factor (GCF)

1.4 Least Common Multiple (LCM)

1.5 Square Roots and Cube Roots

- Square Roots
- Cube Roots In A Nutshell

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**Book 7A:** Chapter 2: Real Numbers

2.1 Idea of Negative Numbers and the Number Line A. Negative Numbers

- The Number Line
- Absolute Value

2.2 Addition and Additive Inverse

- Addition of Integers
- Additive Inverse

2.3 Subtraction and Absolute Value of the Difference

- Subtraction of Integers
- Absolute Value of the Difference

2.4 Multiplication, Division, and Combined Operations of Integers

- Multiplication of Integers
- Division of Integers
- Combined Operations of Integers

2.5 Rational Numbers

- Definition
- Addition and Subtraction of Rational Numbers
- Multiplication and Division of Rational Numbers

2.6 Real Numbers and Use of Calculators A. Real Numbers

- Use of Calculators

2.7 Rounding Numbers to Decimal Places A. Idea of Rounding

- Rounding Numbers to Decimal Places In A Nutshell

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Supplementation required – suggestions coming soon

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*Dimensions*

**Book 7A:** 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 In A Nutshell

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*Dimensions*

**Book 7A:** Chapter 4: Algebraic Manipulation

4.1 Like Terms and Unlike Terms

4.2 Distributive Law, Addition and Subtraction of Linear Algebraic Expressions

- Use of Parentheses
- 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 In A Nutshell

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*Primary book 6B*

Unit 2: Circles: Radius and Diameter, Circumference, Area

*Primary book 6B*

Unit 4: Volume: Solving Problems

*Dimensions*

**Book 7B:** Chapter 10: Coordinates and Linear Graphs

10.1 Cartesian Coordinate System

10.2 Linear Graphs

10.3 Slopes of Linear Graphs

- Positive Slopes
- Negative Slopes
- Special Cases In A Nutshell

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**Book 7B:**Chapter 14: Proportions

14.1 Scale Drawing

14.2 Map Scale and Calculation of Area

- Map Scale
- Calculation of Area

14.3 Direct Proportion

14.4 Inverse Proportion In A Nutshell

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*Primary book 6B*

Unit 3: Graphs: Pie Charts

*Dimensions*

**Book 7B:** **Chapter 16**: Probability of Simple Events

16.1 Set Notation A. Sets

- Equal Sets
- Subsets
- Universal Set and Empty Set
- Complement of a Set

16.2 The Meaning of Probability

- Introduction
- Terms and Definitions

16.3 Sample Space

- Sample Space
- Basic Properties of Probabilities

In A Nutshell

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**Chapter 17:** Probability of Combined Events

17.1 Probability of Simple Combined Events

- Possibility Diagram
- Tree Diagram

17.2 The Meaning of Probability

17.3 Independent Events

17.4 Further Probabilities In A Nutshell

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*Dimensions *

**Book 7A:** Chapter 7: Percentage

7.4 Discount and Sales Tax A. Discount

- Sales Tax In A Nutshell

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Supplementation required – suggestions coming soon

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*Dimensions *

**Book 7A:** Chapter 7: Percentage

7.4 Discount and Sales Tax A. Discount

- Sales Tax In A Nutshell

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## Curricular Competencies

### Reasoning/Analyzing

*The “In A Nutshell, Extend Your Learning Curve, Write In Your Journal” could possibly meet this competency. Teacher to verify. *

*The “In A Nutshell, Extend Your Learning Curve, Write In Your Journal” could possibly meet this competency. Teacher to verify. *

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon

*The “In A Nutshell, Extend Your Learning Curve, Write In Your Journal” could possibly meet this competency. Teacher to verify. *

Supplementation required – suggestions coming soon

### Understanding/Solving

Supplementation required – suggestions coming soon

*Dimensions *

**Book 7B: **Chapter 6: Ratio, Rate, and Speed

6.1 Ratios Involving Rational Numbers

- Meaning of Ratio
- Simplification of Ratios
- Ratio of Three Quantities
- Problems Involving Ratios

6.2 Average Rate

6.3 Speed A. Uniform Speed and Average Speed

- Conversion of Units In A Nutshell

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### Communicating/Representing

Supplementation required – suggestions coming soon

### Connecting/Reflecting

*Dimensions*

**Book 7A: **3.3 Writing Algebraic Expressions to Represent Real-world Situations