# Singapore Math

## Grade Eight Content

Dimensions Textbooks 7A & 7B and Dimensions Textbooks 8A & 8B

*Dimensions 7A*

Chapter 1: Factors and Multiples

1.5 Square Roots and Cube Roots

- Square Roots
- Cube Roots

*Dimensions 7A*

Chapter 1: Factors and Multiples

1.5 Square Roots and Cube Roots

- Square Roots
- Cube Roots

*Dimensions 7A*

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 A. Discount

- Sales Tax In A Nutshell

Extend Your Learning Curve

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*Dimensions 7A*

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 In A Nutshell

Extend Your Learning Curve

Chapter 7: Percentage 7.1 Meaning of Percentage A. Introduction

- Expressing One Quantity as a Percentage of Another 7.2 Reverse Percentages

7.3 Percentage Increase and Decrease A. Percentage Increase

- Percentage Decrease 7.4 Discount and Sales Tax A. Discount
- Sales Tax In A Nutshell

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*Dimensions 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

Extend Your Learning Curve

#### operations with fractions (addition, subtraction, multiplication, division, and order of operations)

*Dimensions 7A*

Chapter 5: Simple Equations in One Variable

5.3 Simple Fractional Equations

Problems In A Nutshell

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*Dimensions 8A*

Chapter 5: Simple Algebraic Fractions

5.1 Simplifying Simple Algebraic Fractions

5.2 Multiplication and Division of Algebraic Fractions

5.3 Addition and Subtraction of Algebraic Fractions

5.4 Fractional Equations A. Solving Equations Involving Algebraic Fractions

- Problem Solving Involving Fractional Equations

5.5 More about Formulas A. Finding the Value of an Unknown Quantity in a Formula

- Changing the Subject of a Formula In A Nutshell

Review Exercise 5

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*Dimensions 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 8A*

Chapter 2: Linear Equations in Two Variables 2.1 Linear Equations in Two Variables A. Review of Linear Equations in One Variable

- Meaning of Linear Equations in Two Variables 2.2 Solving Simultaneous Linear Equations in Two Variables using the Graphical Method

2.3 Solving Simultaneous Linear Equations in Two Variables using the Substitution Method

2.4 Solving Simultaneous Linear Equations in Two Variables using the Elimination Method

2.5 Solving Problems using Simultaneous Equations In A Nutshell

Review Exercise 2

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*Dimensions 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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Write In Your Journal

*Dimensions 8A*

Chapter 2: Linear Equations in Two Variables 2.1 Linear Equations in Two Variables A. Review of Linear Equations in One Variable

- Meaning of Linear Equations in Two Variables 2.2 Solving Simultaneous Linear Equations in Two Variables using the Graphical Method

2.3 Solving Simultaneous Linear Equations in Two Variables using the Substitution Method

2.4 Solving Simultaneous Linear Equations in Two Variables using the Elimination Method

2.5 Solving Problems using Simultaneous Equations In A Nutshell

Review Exercise 2

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#### surface area and volume of regular solids, including triangular and other right prisms and cylinders

*Dimensions 7B*

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

- Cube
- Cuboid

13.2 Volume and Total Surface Area of a Prism A. Prism

- Volume of Prism
- Surface Area of Prism

13.3 Volumes and Surface Areas of Composite Solids

- Conversion between Different Units
- Composite Solids In A Nutshell

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*Dimensions 8B*

Chapter 10: Pythagorean Theorem

10.1 Pythagorean Theorem

10.2 The Converse of Pythagorean Theorem

- Definition
- Determination of Right-Angled Triangles

10.3 Applications of Pythagoras Theorem In a Nutshell

Review Exercise 10

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*Dimensions 7B*

Chapter 13: Volumes and Surface Areas of Solids 13.1 Volumes and Total Surface Areas of a Cube and a Cuboid

- Nets of Cube, Cuboid, and Other Prisms
- Cube
- Cuboid

13.2 Volume and Total Surface Area of a Prism A. Prism

- Volume of Prism
- Surface Area of Prism

13.3 Volumes and Surface Areas of Composite Solids

- Conversion between Different Units
- Composite Solids In A Nutshell

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*Dimensions 8B*

Chapter 12: Mensuration of Pyramids, Cylinders, Cones and Spheres

12.1 Pyramids

- Introducing Pyramids
- Nets and Surface Areas of Pyramids
- Volumes of Pyramids

12.2 Cylinders

- Volume and Surface Area of a Cylinder

12.3 Cones

- Introducing Cones
- Net and Surface Area of a Cone
- Volume of a Cone

12.4 Spheres

- Introducing Spheres
- Volume of a Sphere
- Surface Area of a Sphere In a Nutshell

Review Exercise 12

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Supplementation Required

*Dimensions 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 A. Introduction
- Terms and Definitions 16.3 Sample Space A. 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 A. 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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Supplementation Required

## Curricular Competencies

### Reasoning/Analyzing

Supplementation Required

*Any of the journal writing and “extend your learning curve activities” can be used as a platform to meet this competency, with the support of a teach**er.*

*Dimension 8A*

1.7 Estimations and Accuracy of Calculators A. Estimations

- Estimation and Irrational Numbers
- Accuracy in Calculators In a Nutshell

*Any of the journal writing and “extend your learning curve activities” can be used as a platform to meet this competency, with the support of a teach**er.*

Use of pen/pencil/iPad/paper/camera

Supplementation Required

### Understanding/Solving

*Dimensions 7A*

Chapter 3: Introduction to Algebra

3.3 Writing Algebraic Expressions to Represent Real-world Situations In A Nutshell

*Any of the journal writing and “extend your learning curve activities” can be used as a platform to meet this competency, with the support of a teach**er.*

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### Communicating/Representing

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*er.*

Supplementation Required

### Connecting/Reflecting

Supplementation Required

*Dimensions 7A*

Chapter 3: Introduction to Algebra

3.3 Writing Algebraic Expressions to Represent Real-world Situations In A Nutshell

First Peoples perspectives are not covered