## Course Info

## 新加坡数学七年级 Singapore Math Grade 7

**Text Book: **

*Fall: Singapore Math, Dimensions Math 7A Common Core ISBN: 978-981-4431-72-9*

Chapter: 3, 4, 5, 8

Spring: *Singapore Math, Dimensions Math 7B Common Core ISBN: 978-981-4431-73-6*

Chapter: 10, 11, 12, 13

**Work Book: **

Fall: Singapore Math, Dimensions Math 7A Common Core ISBN: 978-981-4431-74-3

Spring: Singapore Math, Dimensions Math 7B Common Core *ISBN: 978-981-4431-75-0*

**Dimensions Math® Textbook 7A **Contents

### Chapter 1: Factors and Multiples

1.1 Factors and Multiples

- Factors
- Multiples

1.2 Prime Factorization and Exponential Notation

- 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

### Chapter 2: Real Numbers

2.1 Idea of Negative Numbers and the Number Line

- 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

- Real Numbers
- Use of Calculators

2.7 Rounding Numbers to Decimal Places

- Idea of Rounding
- Rounding Numbers to Decimal Places

### Chapter 3: Introduction to Algebra

3.1 The Use of Letters in Algebra

- The Use of Letters
- Basic Notations in Algebra
- Exponential Notation

3.2 Evaluation of Algebraic Expressions and Formulas

- Evaluation of Algebraic Expressions
- Formulas

3.3 Writing Algebraic Expressions to Represent Real-world Situations

### 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

### 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

### 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

- Uniform Speed and Average Speed
- Conversion of Units

### Chapter 7: Percentage

7.1 Meaning of Percentage

- Introduction
- Expressing One Quantity as a Percentage of Another

7.2 Reverse Percentages

7.3 Percentage Increase and Decrease

- Percentage Increase
- Percentage Decrease

7.4 Discount and Sales Tax

- Discount
- Sales Tax

### Chapter 8: Angles, Triangles, and Quadrilaterals

8.1 Points, Lines, and Planes

8.2 Angles

- Angles and Measurements
- Types of Angles
- Complementary, Supplementary, and Adjacent Angles
- Properties of Angles

8.3 Perpendicular Bisectors and Angle Bisectors

- Use of Compasses
- Perpendicular Bisectors
- Angle Bisectors

8.4 Triangles

- Classification of Triangles
- Construction of Triangles

8.5 Quadrilaterals

- Types of Quadrilaterals
- Properties of Special Quadrilaterals
- Construction of Quadrilaterals

**Dimensions Math® Textbook 7B **Contents

**Chapter 9: Number Patterns**

9.1 Number Patterns and Sequences

9.2 General Term of a Sequence

A. General Term

B. Application of Number Patterns

**Chapter 10: Coordinates and Linear Graphs**

10.1 Cartesian Coordinate System

10.2 Linear Graphs

10.3 Slopes of Linear Graphs

A. Positive Slopes

B. Negative Slopes

C. Special Cases

**Chapter 11: Inequalities**

11.1 Solving Simple Inequalities

A. Idea of Inequalities

B. Solving an Inequality

11.2 More Properties of Inequalities

11.3 Simple Linear Inequalities

11.4 Application of Simple Inequalities

**Chapter 12: Perimeters and Areas of Plane Figures**

12.1 Perimeters and Areas of a Square, a Rectangle, and a Triangle

12.2 Circumference and Area of a Circle

12.3 Area of a Parallelogram

12.4 Area of a Trapezoid

12.5 Perimeters and Areas of Composite Plane Figures

**Chapter 13: Volumes and Surface Areas of Solids**

13.1 Volumes and Total Surface Areas of a Cube and a Cuboid

A. Nets of Cube, Cuboid, and Other Prisms

B. Cube

C. Cuboid

13.2 Volume and Total Surface Area of a Prism

A. Prism

B. Volume of Prism

C. Surface Area of Prism

13.3 Volumes and Surface Areas of Composite Solids

A. Conversion between Different Units

B. Composite Solids

**Chapter 14: Proportions**

14.1 Scale Drawing

14.2 Map Scale and Calculation of Area

A. Map Scale

B. Calculation of Area

14.3 Direct Proportion

14.4 Inverse Proportion

**Chapter 15: Data Handling**

15.1 Collection of Data

15.2 Dot Plots

15.3 Measure of Center: Mean

A. Measure of Center

B. Mean

C. Using Mean to Compare Two Populations

D. Variation from the Mean

15.4 Measure of Center: Median

15.5 Mode

A. Definition of Mode

B. Comparison between Mean, Median, and Mode

**Chapter 16: Probability of Simple Events**

16.1 Set Notation

A. Sets

B. Equal Sets

C. Subsets

D. Universal Set and Empty Set

E. Complement of a Set

16.2 The Meaning of Probability

A. Introduction

B. Terms and Definitions

16.3 Sample Space

A. Sample Space

B. Basic Properties of Probabilities

**Chapter 17: Probability of Combined Events**

17.1 Probability of Simple Combined Events

A. Possibility Diagram

B. Tree Diagram

17.2 The Meaning of Probability

17.3 Independent Events

17.4 Further Probabilities