## 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

### Chapter 1: Factors and Multiples

1.1 Factors and Multiples

1. Factors
2. Multiples

1.2 Prime Factorization and Exponential Notation

1. Prime Factorization
2. Exponential Notation

1.3 Greatest Common Factor (GCF)

1.4 Least Common Multiple (LCM)

1.5 Square Roots and Cube Roots

1. Square Roots
2. Cube Roots

### Chapter 2: Real Numbers

2.1 Idea of Negative Numbers and the Number Line

1. Negative Numbers
2. The Number Line
3. Absolute Value

2.3 Subtraction and Absolute Value of the Difference

1. Subtraction of Integers
2. Absolute Value of the Difference

2.4 Multiplication, Division, and Combined Operations of Integers

1. Multiplication of Integers
2. Division of Integers
3. Combined Operations of Integers

2.5 Rational Numbers

1. Definition
2. Addition and Subtraction of Rational Numbers
3. Multiplication and Division of Rational Numbers

2.6 Real Numbers and Use of Calculators

1. Real Numbers
2. Use of Calculators

2.7 Rounding Numbers to Decimal Places

1. Idea of Rounding
2. Rounding Numbers to Decimal Places

### Chapter 3: Introduction to Algebra

3.1 The Use of Letters in Algebra

1. The Use of Letters
2. Basic Notations in Algebra
3. Exponential Notation

3.2 Evaluation of Algebraic Expressions and Formulas

1. Evaluation of Algebraic Expressions
2. 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

1. Use of Parentheses
2. 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

1. Meaning of Ratio
2. Simplification of Ratios
3. Ratio of Three Quantities
4. Problems Involving Ratios

6.2 Average Rate

6.3 Speed

1. Uniform Speed and Average Speed
2. Conversion of Units

### Chapter 7: Percentage

7.1 Meaning of Percentage

1. Introduction
2. Expressing One Quantity as a Percentage of Another

7.2 Reverse Percentages

7.3 Percentage Increase and Decrease

1. Percentage Increase
2. Percentage Decrease

7.4 Discount and Sales Tax

1. Discount
2. Sales Tax

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

8.1 Points, Lines, and Planes

8.2 Angles

1. Angles and Measurements
2. Types of Angles
3. Complementary, Supplementary, and Adjacent Angles
4. Properties of Angles

8.3 Perpendicular Bisectors and Angle Bisectors

1. Use of Compasses
2. Perpendicular Bisectors
3. Angle Bisectors

8.4 Triangles

1. Classification of Triangles
2. Construction of Triangles

### 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