## Grade 6 Mathematics Topics and Sub-topics

**NUMBER SENSE**

1. Demonstrate an understanding of place value, including numbers that are:

• greater than one million • less than one thousandth.

2. Solve problems involving whole numbers and decimal numbers.

3. Demonstrate an understanding of factors and multiples by:

• determining multiples and factors of numbers less than 100

• identifying prime and composite numbers

• solving problems using multiples and factors.

4. Relate improper fractions to mixed numbers and mixed numbers to improper fractions.

5. Demonstrate an understanding of ratio, concretely, pictorially and symbolically.

6. Demonstrate an understanding of percent (limited to whole numbers), concretely, pictorially and symbolically.

7. Demonstrate an understanding of integers, concretely, pictorially and symbolically.

8. Demonstrate an understanding of multiplication and division of decimals (1-digit whole number multipliers and 1-digit natural number divisors).

9. Explain and apply the order of operations, excluding exponents, with and without technology (limited to whole numbers).

**PATTERNS AND RELATIONS**

Patterns • Use patterns to describe the world and to solve problems.

Variables and Equations • Represent algebraic expressions in multiple ways.

**SHAPE AND SPACE**

Measurement • Use direct and indirect measurement to solve problems.

3-D Objects and 2-D Shapes

• Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

Transformations

• Describe and analyze position and motion of objects and shapes.

**STATISTICS AND PROBABILITY**

Data Analysis • Collect, display and analyze data to solve problems.

Chance and Uncertainty • Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

Number Sense

• Patterns

• Patterns

• Patterns

• Patterns

**Patterns and Relations**

• Patterns

• Variables and Equations

• Patterns

• Patterns

• Patterns

**Shape and Space**

• Measurement

• 3-D Objects and 2-D Shapes

• Transformations

• Patterns

• Patterns

**Statistics and Probability**

• Data Analysis

• Chance and Uncertainty

• Patterns

• Patterns

• Patterns