## Grade 4 Mathematics Topics and Sub-topics

**NUMBER SENSE**

1. Represent and describe whole numbers to 10 000, pictorially and symbolically.

2. Compare and order numbers to 10 000.

3. Demonstrate an understanding of addition of numbers with answers to 10 000 and their corresponding subtractions (limited to 3 and 4 digit numerals) by:

• using personal strategies for adding and subtracting

• estimating sums and differences

• solving problems involving addition and subtraction.

4. Apply the properties of 0 and 1 for multiplication and the property of 1 for division.

5. Describe and apply mental mathematics strategies, such as:

• skip counting from a known fact

• using doubling or halving

• using doubling or halving and adding or subtracting one more group

• using patterns in the 9s facts

• using repeated doubling to determine basic multiplication facts to 9 × 9 and related division facts.

6. Demonstrate an understanding of multiplication (2- or 3-digit by 1-digit) to solve problems by:

• using personal strategies for multiplication with and without concrete materials

• using arrays to represent multiplication

• connecting concrete representations to symbolic representations

• estimating products • applying the distributive property.

7. Demonstrate an understanding of division (1-digit divisor and up to 2-digit dividend) to solve problems by:

• using personal strategies for dividing with and without concrete materials

• estimating quotients

• relating division to multiplication.

8. Demonstrate an understanding of fractions less than or equal to one by using concrete, pictorial and symbolic representations to:

• name and record fractions for the parts of a whole or a set

• compare and order fractions

• model and explain that for different wholes, two identical fractions may not represent the same quantity

• provide examples of where fractions are used.

9. Represent and describe decimals (tenths and hundredths), concretely, pictorially and symbolically.

10. Relate decimals to fractions and fractions to decimals (to hundredths).

11. Demonstrate an understanding of addition and subtraction of decimals (limited to hundredths) by:

• using personal strategies to determine sums and differences

• estimating sums and differences

• using mental mathematics strategies to solve problems.

**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