Mathematics, Grade 9

Unit 1: Number

Powers with integral bases, operations on powers, rational numbers, order of operations with exponents, and square roots of rationals.

• Powers as repeated multiplication
• The zero exponent
• Solving problems with powers

• Multiplying and dividing powers
• Power of a power
• Comparing and ordering rational numbers
• Operations on rational numbers
• Order of operations with exponents
• Square root of perfect squares
• Approximate square root of non-perfect squares

Unit 2: Patterns and Relations

Generalizing patterns, graphing linear relations, solving multi-form linear equations and inequalities, and polynomials and their operations.

• Generalizing a pattern with a linear equation
• Graphing and interpolating linear relations

• One-step linear equations
• Two-step linear equations
• Equations with variables on both sides
• Bracketed and distributive equations
• Single-variable linear inequalities

• Understanding polynomials
• Adding polynomials
• Subtracting polynomials
• Multiplying polynomials by monomials
• Dividing polynomials by monomials

Unit 3: Shape and Space

Circle properties, composite surface area, similarity of polygons, scale diagrams, and line and rotation symmetry.

• Perpendicular from the centre bisects a chord
• Central angle equals twice the inscribed angle
• Inscribed angles on the same arc are congruent
• Tangent is perpendicular to the radius

• Surface area of composite objects
• Similarity of polygons
• Scale diagrams
• Line symmetry
• Rotation symmetry

Unit 4: Statistics and Probability

Factors affecting data collection, population versus sample, histograms, a staged data project, and the role of probability in society.

• Factors affecting data collection
• Population versus sample
• Histograms

• Designing the data investigation
• Collecting and displaying the data
• Drawing conclusions from the data
• The role of probability in society