Ontario Grade 9 Mathematics learning path

Use mathematical processes and connect mathematics to lived experiences, careers, and real-life applications.

• A1 · Apply mathematical processes and communicate reasoning
• A2 · Connect mathematics to real life, knowledge systems, and careers

Build confidence with number systems, powers, rates, ratios, and proportional reasoning.

• B1.1 · Explore the development and use of a number concept
• B1.2 · Describe and compare subsets of a number system
• B1.3 · Explain density, infinity, and limit in number sets
• B2.1 · Evaluate powers and use scientific notation
• B2.2 · Use exponent relationships to simplify expressions
• B3.1 · Use integers to describe location, direction, amount, and change
• B3.2 · Apply unit fractions in measurement and other contexts
• B3.3 · Explain signs in ratios, rates, fractions, and decimals
• B3.4 · Solve problems with positive and negative fractions
• B3.5 · Solve problems with rates, percentages, and proportions

Represent patterns, manipulate expressions, solve equations, and model relationships.

• C1.1 · Explore the development and use of an algebraic concept
• C1.2 · Create expressions that generalize relationships
• C1.3 · Compare expressions and identify equivalent forms
• C1.4 · Simplify algebraic expressions
• C1.5 · Create, solve, and verify equations
• C2.1 · Use coding to represent algebraic concepts
• C2.2 · Create code to represent relationships and solve problems
• C2.3 · Predict and modify the outcome of code
• C3.1 · Compare rates of change in linear and non-linear graphs
• C3.2 · Connect representations of linear relations
• C3.3 · Compare linear relations and interpret their intersection
• C4.1 · Compare linear and non-linear representations
• C4.2 · Graph equations and inequalities and describe their features
• C4.3 · Translate, reflect, and rotate lines
• C4.4 · Determine equations of lines and solve problems

Collect, display, analyse, and model data to make evidence-based conclusions.

• D1.1 · Examine the collection, storage, representation, and use of data
• D1.2 · Represent and analyse one-variable data, including box plots
• D1.3 · Analyse two-variable data with scatter plots and regression
• D2.1 · Explain the value of mathematical modelling
• D2.2 · Identify a modelling question and required information
• D2.3 · Plan and collect data for a mathematical model
• D2.4 · Display and analyse data to build a model
• D2.5 · Assess, report, and use a mathematical model

Use geometry, measurement, and spatial reasoning to solve practical problems.

• E1.1 · Explore a geometric concept or measurement system
• E1.2 · Create designs using circle and triangle relationships
• E1.3 · Solve problems within and between measurement systems
• E1.4 · Analyse how changing dimensions affects measures
• E1.5 · Solve right-triangle side-length problems
• E1.6 · Apply volume relationships for prisms, pyramids, cylinders, and cones

Make informed decisions about money, growth, borrowing, and budgeting.

• F1.1 · Use past and current situations to inform financial decisions
• F1.2 · Analyse appreciation and depreciation
• F1.3 · Compare borrowing and purchasing costs
• F1.4 · Modify a budget when circumstances change