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
