Grade 9 Mathematics (10F)

Unit 1: Number

Powers with integral bases and exponent laws, rational numbers and order of operations, and square roots of perfect and non-perfect squares.

• Representing powers
• The zero-exponent rule
• Evaluating powers
• Solving problems with powers
• Operations on powers
• Comparing and ordering rational numbers
• Operations on rational numbers
• Order of operations with exponents
• Square roots of perfect squares
• Approximate square roots

Unit 2: Patterns and Relations

Generalizing patterns with linear equations, graphing linear relations, multi-form linear equations and inequalities, and polynomials to degree two.

• Generalizing patterns with linear equations
• Graphing and analyzing linear relations
• Interpolating and extrapolating

• Solving linear equations
• Equations with brackets and fractions
• Solving linear inequalities
• Graphing inequality solutions
• Understanding polynomials
• Adding polynomials
• Subtracting polynomials
• Multiplying and dividing by a monomial

Unit 3: Shape and Space

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

• The perpendicular from the centre to a chord
• Central and inscribed angles
• The tangent and the radius

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

Unit 4: Statistics and Probability

The effect of data-collection factors, population versus sample, a full data-collection project, and the role of probability in society.

• Factors affecting data collection
• Population versus sample
• Planning a data project
• Running and concluding the project
• The role of probability in society