# Singapore Math

Primary Math Textbook 6A & 6B US Edition and Dimensions 6A (Uses Dimensions 6A unless otherwise stated)

#### small to large numbers (thousandths to billions)

Chapters 1, 2, 3.

#### multiplication and division facts to 100 (developing computational fluency)

Chapter 1: Whole Numbers

1.2 Factors and Multiples

1. Factors
2. Multiples

1.3 Multiplication

1. Properties of Multiplication
2. Mental Multiplication

#### order of operations with whole numbers

Chapter 1: Whole Numbers

1.1 Order of Operations

1. Expressions and Equations
2. Exponents
3. Order of Operations without Parentheses
4. Order of Operations with Parentheses

1.2 Factors and Multiples

1. Factors
2. Multiples

1.3 Multiplication

1. Properties of Multiplication
2. Mental Multiplication

1.4 Division A. Properties of Division

1. Mental Division

In A Nutshell

Problem Solving Corner

#### factors and multiples — greatest common factor and least common multiple

Chapter 1: Whole Numbers

1.1 Order of Operations

1. Expressions and Equations
2. Exponents
3. Order of Operations without Parentheses
4. Order of Operations with Parentheses 1.2 Factors and Multiples
5. Factors
6. Multiples

1.3 Multiplication

1. Properties of Multiplication
2. Mental Multiplication

1.4 Division A. Properties of Division

1. Mental Division

In A Nutshell

Problem Solving Corner

#### improper fractions and mixed numbers

Chapter 2: Fractions

2.1 Multiplication of Fractions

1. Multiplication of a Proper Fraction by a Whole Number
2. Multiplication of a Proper Fraction by a Fraction
3. Multiplication of an Improper Fraction or a Mixed Number by a Whole Number
4. Multiplication of an Improper Fraction or a Mixed Number by a Fraction

2.2 Division of Fractions

1. Division of a Whole Number by a Fraction
2. Division of a Fraction by a Whole Number
3. Division of a Fraction by a Fraction

In A Nutshell

Problem Solving Corner

#### introduction to ratios

Chapter 5: Ratios

5.1 Ratios and Equivalent Ratios A. Finding Ratio

1. Equivalent Ratios

5.2 Ratios and Fractions In A Nutshell

Problem Solving Corner

#### whole-number percents and percentage discounts

Chapter 1: Whole Numbers

1.1 Order of Operations

1. Expressions and Equations
2. Exponents
3. Order of Operations without Parentheses
4. Order of Operations with Parentheses 1.2 Factors and Multiples
5. Factors
6. Multiples

1.3 Multiplication

1. Properties of Multiplication
2. Mental Multiplication

1.4 Division A. Properties of Division

1. Mental Division

In A Nutshell

Problem Solving Corner

#### multiplication and division of decimals

Chapter 3: Decimals

3.1 Addition and Subtraction of Decimals

1. Structure of Decimals

3.2 Multiplication of Decimals

1. Decimal Number System
2. Multiplier and Product
3. Multiplying Decimals

3.3 Division of Decimals

1. Divisor and Quotient
2. Dividing Decimals

3.4 Metric Measurements and Decimals In A Nutshell

Problem Solving Corner

#### increasing and decreasing patterns, using expressions, tables, and graphs as functional relationships

Chapter 5: Ratios

5.1 Ratios and Equivalent Ratios A. Finding Ratio

1. Equivalent Ratios

5.2 Ratios and Fractions In A Nutshell

Problem Solving Corner

#### one-step equations with whole-number coefficients and solutions

Primary Textbook US Edition: Book 6A:

Unit 1: Algebra: Algebraic Expressions

#### perimeter of complex shapes

Primary Textbook US Edition: Book 6B: Unit 5 Triangles and 4-sided Figures

• Finding Unknown Angles

#### area of triangles, parallelograms, and trapezoids

Primary Textbook US Edition: Book 6B: Unit 5 Triangles and 4-sided Figures

• Finding Unknown Angles

#### angle measurement and classification

Primary Textbook US Edition: Book 6B: Unit 5 Triangles and 4-sided Figures

• Finding Unknown Angles

#### volume and capacity

Supplementation Required

#### triangles

Primary Textbook US Edition: Book 6B: Unit 5 Triangles and 4-sided Figures

• Finding Unknown Angles

#### combinations of transformations

Supplementation Required

#### line graphs

Supplementation Required

#### single-outcome probability, both theoretical and experimental

Supplementation Required

#### financial literacy — simple budgeting and consumer math

Supplementation Required

## Curricular Competencies

### Reasoning/Analyzing

#### Use logic and patterns to solve puzzles and play games

Supplementation Required

#### Use reasoning and logic to explore, analyze, and apply mathematical ideas

Supplementation Required

#### Estimate reasonably

Chapter 1: Whole Numbers

1.3 Multiplication

1. Mental Multiplication

1.4 Division A. Properties of Division

1. Mental Division

#### Demonstrate and apply mental math strategies

Chapter 1: Whole Numbers

1.3 Multiplication

1. Mental Multiplication

1.4 Division A. Properties of Division

1. Mental Division

#### Use tools or technology to explore and create patterns and relationships, and test conjectures

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

#### Model mathematics in contextualized experiences

Supplementation Required

### Understanding/Solving

#### Apply multiple strategies to solve problems in both abstract and contextualized situations

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

#### Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

#### Visualize to explore mathematical concepts

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

#### Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

### Communicating/Representing

#### Use mathematical vocabulary and language to contribute to mathematical discussions

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

#### Explain and justify mathematical ideas and decisions

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

#### Communicate mathematical thinking in many ways

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

#### Represent mathematical ideas in concrete, pictorial, and symbolic forms

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

### Connecting/Reflecting

#### Reflect on mathematical thinking

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

#### Connect mathematical concepts to each other and to other areas and personal interests

In Dimensions 6A: any of the “Write In Your Journal, In a Nutshell, Extend Your Learning Curve, Problem Solving Corner” could potentially meet this competency. Teacher to verify.

#### Incorporate First Peoples worldviews and perspectives to make connections to mathematical concepts

First Peoples perspectives are not covered