logo

How It Works

flag

Ontario

Math

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

Grade 9

Grade 10

Grade 11

Grade 12

Grade 9 Math Courses - Ontario Curriculum

Explore Ontario's Grade 9 math curriculum, covering essential topics in algebra, geometry, and data management. Prepare for success with our comprehensive course offerings aligned with provincial standards.

Ontario Grade 9 Math Curriculum - StudyPug

Print

​
​
OE_ID
Expectations
StudyPug Topic
ON.OE.9.B.1.1
B1.1 research a number concept to tell a story about its development and use in a specific culture, and describe its relevance in a current context: Research a number concept to tell a story about its development and use in a specific culture, and describe its relevance in a current context
Understanding the number systems
ON.OE.9.B.1.2
B1.2 describe how various subsets of a number system are defined, and describe similarities and differences between these subsets: Describe how various subsets of a number system are defined, and describe similarities and differences between these subsets
Rational vs. Irrational numbers
Comparing and ordering rational numbers
Place value
Comparing and ordering numbers
ON.OE.9.B.1.3
B1.3 use patterns and number relationships to explain density, infinity, and limit as they relate to number sets: Use patterns and number relationships to explain density, infinity, and limit as they relate to number sets
Using exponents to describe numbers
Patterns
ON.OE.9.B.2.1
B2.1 analyse, through the use of patterning, the relationship between the sign and size of an exponent and the value of a power, and use this relationship to express numbers in scientific notation and evaluate powers: Analyse the relationship between the sign and size of an exponent and the value of a power, and use this relationship to express numbers in scientific notation and evaluate powers
Scientific notation
Exponent rules
Product rule of exponents
ON.OE.9.B.2.2
B2.2 analyse, through the use of patterning, the relationships between the exponents of powers and the operations with powers, and use these relationships to simplify numeric and algebraic expressions: Analyse the relationships between the exponents of powers and the operations with powers, and use these relationships to simplify numeric and algebraic expressions
Quotient rule of exponents
Power of a product rule
Power of a quotient rule
Power of a power rule
Negative exponent rule
Combining the exponent rules
Order of operations with exponents
Using exponents to solve problems
ON.OE.9.B.3.1
B3.1 apply an understanding of integers to describe location, direction, amount, and changes in any of these, in various contexts: Apply an understanding of integers to describe location, direction, amount, and changes in any of these, in various contexts
Applications of integer operations
Subtracting integers
ON.OE.9.B.3.2
B3.2 apply an understanding of unit fractions and their relationship to other fractional amounts, in various contexts, including the use of measuring tools: Apply an understanding of unit fractions and their relationship to other fractional amounts, in various contexts, including the use of measuring tools
Converting repeating decimals to fractions
Solving problems with rational numbers in fraction form
Applications of fraction operations
ON.OE.9.B.3.3
B3.3 apply an understanding of integers to explain the effects that positive and negative signs have on the values of ratios, rates, fractions, and decimals, in various contexts: Apply an understanding of integers to explain the effects that positive and negative signs have on the values of ratios, rates, fractions, and decimals, in various contexts
Solving problems with rational numbers in decimal form
Ratios
Rates
Proportions
ON.OE.9.B.3.4
B3.4 solve problems involving operations with positive and negative fractions and mixed numbers, including problems involving formulas, measurements, and linear relations, using technology when appropriate: Solve problems involving operations with positive and negative fractions and mixed numbers, including problems involving formulas, measurements, and linear relations, using technology when appropriate
Fractions: Multiplying proper fractions
Multiplying improper fractions and mixed numbers
Dividing fractions and mixed numbers
Adding and subtracting decimals
Multiplying decimals
Dividing decimals
Order of operations (PEMDAS)
ON.OE.9.B.3.5
B3.5 solve problems involving ratios, rates, and percent in various contexts, including contexts connected to real-life applications of data, measurement, geometry, linear relations, and financial literacy: Solve problems involving ratios, rates, and percent in various contexts, including contexts connected to real-life applications of data, measurement, geometry, linear relations, and financial literacy
Representing percents
Percents, fractions, and decimals
Percent of a number
Adding and multiplying percents
Taxes, discounts, tips and more
Simple interest
ON.OE.9.C.1.1
C1.1 research an algebraic concept to tell a story about its development and use in a specific culture, and describe its relevance in a current context: Research an algebraic concept to tell a story about its development and use in a specific culture, and describe its relevance in a current context
What is a polynomial?
ON.OE.9.C.1.2
C1.2 create algebraic expressions to generalize relationships expressed in words, numbers, and visual representations, in various contexts: Create algebraic expressions to generalize relationships expressed in words, numbers, and visual representations, in various contexts
Characteristics of polynomials
Representing patterns in linear relations
Evaluating algebraic expressions
ON.OE.9.C.1.3
C1.3 compare algebraic expressions using concrete, numerical, graphical, and algebraic methods to identify those that are equivalent, and justify their choices: Compare algebraic expressions using concrete, numerical, graphical, and algebraic methods to identify those that are equivalent, and justify their choices
Polynomial components
Equivalent expressions of polynomials
ON.OE.9.C.1.4
C1.4 simplify algebraic expressions by applying properties of operations of numbers, using various representations and tools, in different contexts: Simplify algebraic expressions by applying properties of operations of numbers, using various representations and tools, in different contexts
Multiplying monomial by monomial
Multiplying monomial by binomial
Multiplying binomial by binomial
Multiplying polynomial by polynomial
Adding and subtracting polynomials
Multiplying and dividing monomials
Multiplying polynomials by monomials
Dividing polynomials by monomials
ON.OE.9.C.1.5
C1.5 create and solve equations for various contexts, and verify their solutions: Create and solve equations for various contexts, and verify their solutions
Solving linear equations using multiplication and division
Solving two-step linear equations: ax + b = c, x/a + b = c
Solving linear equations using distributive property: a(x + b) = c
Solving linear equations with variables on both sides
Solving one - step equations: x + a = b
Solving literal equations
ON.OE.9.C.2.1
C2.1 use coding to demonstrate an understanding of algebraic concepts including variables, parameters, equations, and inequalities: Use coding to demonstrate an understanding of algebraic concepts including variables, parameters, equations, and inequalities
Applications of polynomials
ON.OE.9.C.2.2
C2.2 create code by decomposing situations into computational steps in order to represent mathematical concepts and relationships, and to solve problems: Create code by decomposing situations into computational steps in order to represent mathematical concepts and relationships, and to solve problems
Common factors of polynomials
ON.OE.9.C.2.3
C2.3 read code to predict its outcome, and alter code to adjust constraints, parameters, and outcomes to represent a similar or new mathematical situation: Read code to predict its outcome, and alter code to adjust constraints, parameters, and outcomes to represent a similar or new mathematical situation
Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
ON.OE.9.C.3.1
C3.1 compare the shapes of graphs of linear and non-linear relations to describe their rates of change, to make connections to growing and shrinking patterns, and to make predictions: Compare the shapes of graphs of linear and non-linear relations to describe their rates of change, to make connections to growing and shrinking patterns, and to make predictions
Evaluating polynomials
Reading linear relation graphs
ON.OE.9.C.3.2
C3.2 represent linear relations using concrete materials, tables of values, graphs, and equations, and make connections between the various representations to demonstrate an understanding of rates of change and initial values: Represent linear relations using concrete materials, tables of values, graphs, and equations, and make connections between the various representations to demonstrate an understanding of rates of change and initial values
Using algebra tiles to factor polynomials
ON.OE.9.C.3.3
C3.3 compare two linear relations of the form y = ax + b graphically and algebraically, and interpret the meaning of their point of intersection in terms of a given context: Compare two linear relations of the form y = ax + b graphically and algebraically, and interpret the meaning of their point of intersection in terms of a given context
Solving polynomial equations
Solving linear equations by graphing
ON.OE.9.C.4.1
C4.1 compare characteristics of graphs, tables of values, and equations of linear and non-linear relations: Compare characteristics of graphs, tables of values, and equations of linear and non-linear relations
Word problems of polynomials
ON.OE.9.C.4.2
C4.2 graph relations represented as algebraic equations of the forms x = k, y = k, x + y = k, x ? y = k, ax + by = k, and xy = k, and their associated inequalities, where a, b, and k are constants, to identify various characteristics and the points and/or regions defined by these equations and inequalities: Graph relations represented as algebraic equations of various forms and their associated inequalities to identify characteristics and defined points/regions
Factoring polynomials by grouping
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
Solving multi-step linear inequalities
Compound inequalities
ON.OE.9.C.4.3
C4.3 translate, reflect, and rotate lines defined by y = ax, where a is a constant, and describe how each transformation affects the graphs and equations of the defined lines: Translate, reflect, and rotate lines defined by y = ax, where a is a constant, and describe how each transformation affects the graphs and equations of the defined lines
Solving polynomials with unknown coefficients
Rotational symmetry and transformations
ON.OE.9.C.4.4
C4.4 determine the equations of lines from graphs, tables of values, and concrete representations of linear relations by making connections between rates of change and slopes, and between initial values and y-intercepts, and use these equations to solve problems: Determine line equations from graphs, tables, and concrete representations by connecting rates of change to slopes and initial values to y-intercepts, and use these equations to solve problems
Solving polynomials with unknown constant terms
ON.OE.9.D.1.1
D1.1 identify a current context involving a large amount of data, and describe potential implications and consequences of its collection, storage, representation, and use: Identify a current context involving a large amount of data, and describe potential implications and consequences of its collection, storage, representation, and use
Influencing factors in data collection
ON.OE.9.D.1.2
D1.2 represent and statistically analyse data from a real-life situation involving a single variable in various ways, including the use of quartile values and box plots: Represent and statistically analyse data from a real-life situation involving a single variable in various ways, including the use of quartile values and box plots
Data collection
Advantages and disadvantages of different graphs
Critiquing data presentation
ON.OE.9.D.1.3
D1.3 create a scatter plot to represent the relationship between two variables, determine the correlation between these variables by testing different regression models using technology, and use a model to make predictions when appropriate: Create a scatter plot to represent the relationship between two variables, determine correlation by testing regression models using technology, and use a model to make predictions when appropriate
Probability
Box-and-whisker plots and scatter plots
ON.OE.9.D.2.1
D2.1 describe the value of mathematical modelling and how it is used in real life to inform decisions: Describe the value of mathematical modelling and how it is used in real life to inform decisions
Classification of data
ON.OE.9.D.2.2
D2.2 identify a question of interest requiring the collection and analysis of data, and identify the information needed to answer the question: Identify a question of interest requiring data collection and analysis, and identify the information needed to answer the question
Sampling methods
ON.OE.9.D.2.3
D2.3 create a plan to collect the necessary data on the question of interest from an appropriate source, identify assumptions, identify what may vary and what may remain the same in the situation, and then carry out the plan: Create and execute a plan to collect necessary data, identifying assumptions and variables
Census and bias
ON.OE.9.D.2.4
D2.4 determine ways to display and analyse the data in order to create a mathematical model to answer the original question of interest, taking into account the nature of the data, the context, and the assumptions made: Determine ways to display and analyse data to create a mathematical model answering the original question, considering data nature, context, and assumptions
Bivariate, scatter plots and correlation
ON.OE.9.E.1.2
E1.2 create and analyse designs involving geometric relationships and circle and triangle properties, using various tools: Create and analyse designs involving geometric relationships and circle and triangle properties, using various tools
Line symmetry
Angles in a circle
Chord properties
Tangent properties
ON.OE.9.E.1.3
E1.3 solve problems involving different units within a measurement system and between measurement systems, including those from various cultures or communities, using various representations and technology, when appropriate: Solve problems involving different units within and between measurement systems, including those from various cultures, using representations and technology when appropriate
Conversions between metric and imperial systems
Introduction to surface area of 3-dimensional shapes
Nets of 3-dimensional shapes
Metric systems
Imperial systems
Conversions involving squares and cubic
ON.OE.9.E.1.4
E1.4 show how changing one or more dimensions of a two-dimensional shape and a three-dimensional object affects perimeter/circumference, area, surface area, and volume, using technology when appropriate: Show how changing dimensions of 2D shapes and 3D objects affects perimeter/circumference, area, surface area, and volume, using technology when appropriate
Surface area of 3-dimensional shapes
Volume of prisms
Volume of cylinders
Upper and lower bound
ON.OE.9.E.1.5
E1.5 solve problems involving the side-length relationship for right triangles in real-life situations, including problems that involve composite shapes: Solve problems involving the side-length relationship for right triangles in real-life situations, including problems with composite shapes
Surface area and volume of prisms
Surface area and volume of pyramids
Surface area and volume of cylinders
Surface area and volume of cones
Surface area and volume of spheres
Pythagorean theorem
Using the pythagorean relationship
Applications of pythagorean theorem
ON.OE.9.E.1.6
E1.6 solve problems using the relationships between the volume of prisms and pyramids and between the volume of cylinders and cones, involving various units of measure: Solve problems using relationships between volumes of prisms and pyramids, and between cylinders and cones, involving various units of measure
Word problems relating volume of prisms and cylinders

Explore

Geometry

Trigonometry

Algebra

Basic Math

Statistics

Calculus

Differential Equations

Linear Algebra

Chemistry

Organic Chemistry

Physics

Microeconomics

Learning

For Students

For Parents

For Home Schoolers

For Teachers

About

About Us

How it works

Pricing

FAQ

Testimonials

Contact Us

Blog

Curriculum

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

youtube
facebook
instagram
x.com

© 2015 – 2025 StudyPug

Sitemap

Terms of Service

Privacy Policy