Mathematics, Grade 9

Unit 1: Number

Powers with integral bases, operations on powers and the exponent laws, rational numbers, order of operations with exponents, and exact and approximate square roots of rationals.

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

• The exponent laws
• Sum and difference of powers
• Comparing and ordering rational numbers
• Operations on rational numbers

• Order of operations with exponents
• Exact square roots of rationals
• Approximate square roots of rationals

Unit 2: Patterns and Relations

Generalizing patterns with linear equations, graphing and interpreting linear relations, solving linear equations and inequalities with rational numbers, and operations on polynomials.

• Generalizing a pattern with a linear equation
• Graphing and analyzing a linear relation
• Interpolating and extrapolating
• Solving linear equations symbolically
• Modelling problems with linear equations

• Translating and testing inequalities
• Solving inequalities by adding and subtracting
• Multiplying or dividing an inequality by a negative
• Graphing and solving inequality problems

• Modelling and identifying polynomials
• Equivalent polynomial expressions
• Adding polynomials
• Subtracting polynomials
• Multiplying a polynomial by a monomial
• Dividing a polynomial by a monomial

Unit 3: Geometry

Determining the surface area of composite 3-D objects to solve problems.

• Surface area and overlap of composite objects
• Solving composite surface-area problems

Unit 4: Statistics and Probability

The effect of bias, ethics, and other factors on data collection, and developing and implementing a data-collection project plan.

• Factors affecting data collection
• Formulating a question and choosing a method
• Selecting a sample and collecting data
• Displaying data and drawing conclusions