Mathematics, Grade 9

Unit 1: Rational Numbers and Powers

Ordering rational numbers and working with powers and the exponent laws.

• Ordering rational numbers

• The meaning of a power
• Exponent laws
• Sums and differences of powers

Unit 2: Operations with Rational Numbers and Square Roots

Order of operations with rational numbers and square roots of rational numbers.

• Order of operations with rational numbers

• Square roots of perfect-square rationals
• Estimating square roots of rationals

Unit 3: Linear Relations

Writing linear equations and graphing linear relations to interpolate and extrapolate.

• Writing linear equations from patterns and contexts

• Graphing linear relations
• Interpolating and extrapolating from a graph

Unit 4: Algebra

Linear inequalities, polynomials, and solving linear equations.

• Writing and testing inequalities

• Identifying the parts of a polynomial
• Equivalent polynomial expressions
• Adding and subtracting polynomials
• Multiplying and dividing polynomials by a monomial

• Modelling linear equations
• Solving linear equations symbolically
• Solving problems with linear equations

• Solving and graphing inequalities
• Comparing equations and inequalities

Unit 5: Composite Objects and Circle Properties

Surface area of composite objects and the properties of circles.

• Surface area of composite objects

• Tangents and chords
• Central and inscribed angles

Unit 6: Symmetry and Similarity

Line and rotation symmetry, symmetry on the coordinate plane, and similar polygons and scale.

• Line symmetry
• Rotation symmetry
• Creating and completing symmetric designs

• Symmetry on the coordinate plane

• Similar polygons
• Scale diagrams and scale factor
• Scale problems with similar triangles

Unit 7: Data Collection and Analysis

Bias in data collection, samples and populations, and a data project.

• Bias in data collection
• Samples and populations

• Planning and completing a data project

Unit 8: Probability in Society

How probability is used and can be misused in real situations.

• Interpreting probability in society