## Grade 5 Mathematics Topics and Sub-topics

**NUMBER SENSE**

1. Represent and describe whole numbers to 1 000 000.

2. Use estimation strategies, including:

• front-end rounding

• compensation

• compatible numbers in problem-solving contexts.

3. Apply mental mathematics strategies and number properties, such as:

• skip counting from a known fact

• using doubling or halving

• using patterns in the 9s facts

• using repeated doubling or halving to determine, with fluency, answers for basic multiplication facts to 81 and related division facts.

4. Apply mental mathematics strategies for multiplication, such as:

• annexing then adding zero

• halving and doubling

• using the distributive property.

5. Demonstrate, with and without concrete materials, an understanding of multiplication (2-digit by 2-digit) to solve problems.

6. Demonstrate, with and without concrete materials, an understanding of division (3-digit by 1-digit), and interpret remainders to solve problem

7. Demonstrate an understanding of fractions by using concrete, pictorial and symbolic representations to:

• create sets of equivalent fractions

• compare fractions with like and unlike denominators.

8. Describe and represent decimals (tenths, hundredths, thousandths), concretely, pictorially and symbolically.

9. Relate decimals to fractions and fractions to decimals (to thousandths).

10. Compare and order decimals (to thousandths) by using:

• benchmarks

• place value • equivalent decimals.

11. Demonstrate an understanding of addition and subtraction of decimals (limited to thousandths).

**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