## Grade 9 Mathematics Topics and Sub-topics

**NUMBER SENSE**

1. Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by:

• representing repeated multiplication, using powers

• using patterns to show that a power with an exponent of zero is equal to one

• solving problems involving powers.

2. Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents:

3. Demonstrate an understanding of rational numbers by:

• comparing and ordering rational numbers

• solving problems that involve arithmetic operations on rational numbers.

4. Explain and apply the order of operations, including exponents, with and without technology.

5. Determine the square root of positive rational numbers that are perfect squares.

6. Determine an approximate square root of positive rational numbers that are non-perfect squares. [

**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