Mathematics, Grade 9

Unit 1: Number

Powers with integral bases and whole number exponents, rational numbers, and square roots of positive rational numbers.

• Representing powers
• Evaluating powers and the zero exponent
• Exponent laws and situational questions

• Comparing and ordering rational numbers
• Operations with rational numbers

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

Unit 2: Patterns and Relations

Linear relations, linear equations of several forms, single-variable linear inequalities, and polynomials to degree 2.

• Graphing and analyzing linear relations
• Interpolating and extrapolating

• Writing linear equations
• Solving one- and two-step equations
• Variable on both sides and brackets

• Solving and verifying inequalities
• Comparing and graphing inequalities

• Modeling and identifying polynomials
• Adding and subtracting polynomials
• Multiplying and dividing by a monomial

Unit 3: Shape and Space

Circle properties, surface area of composite 3-D objects, similarity of 2-D shapes, and line and rotation symmetry.

• Chord and tangent properties
• Inscribed and central angles

• Surface area of composite objects
• Composite problems and approximation

• Similar polygons
• Scale diagrams and scale factors

• Line symmetry
• Rotation symmetry

Unit 4: Statistics and Probability

Effects on data collection, a data-collection project, the role of probability in society, and probability in First Nations and Métis worldviews.

• Bias, language, and ethics in data collection
• Population versus sample

• Planning and collecting data
• Displaying, analysing, and presenting

• How probability is used in society

• Researching probability in First Nations and Métis lifestyles