Will this help with my child's Grade 11 math homework?

Yes. StudyPug covers every MCF3M strand, so when your child gets stuck on quadratic equations, exponential functions, or trigonometry, they can find a worked example or practice problem that matches their Ontario homework exactly.

How long are the video lessons?

Most video lessons run between five and fifteen minutes, focused on one concept at a time. Your child can pause, rewind, and rewatch as many times as needed, making it easy to fit a lesson into any study session.

Is there an Ontario test for Grade 11 math?

Grade 11 is not an EQAO assessment year in Ontario. EQAO tests math in Grades 3, 6, and 9. MCF3M grades come from classroom assessments set by your child's school and teacher throughout the semester.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your child can practice quadratic functions or review trigonometry at home, at school, or on the go without needing a specific device.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see the content before committing. There is also a 30-day money-back guarantee, giving your family time to make sure it is the right fit for your child's Grade 11 math course.

ON Grade 11 Math Curriculum

Help your child succeed in Grade 11 Functions and Applications with lessons and practice problems built around what Ontario schools actually teach, from quadratics to trigonometry and exponential functions.

ON Grade 11 Math Curriculum

OE_IDExpectationsStudyPug Topic

ON.OE.11FA.A1.1Pose problems involving quadratic relations arising from real-world applications and represented by tables of values and graphs, and solve these and other such problems
- Characteristics of quadratic functions
- Applications of quadratic functions
ON.OE.11FA.A1.2Represent situations using quadratic expressions in one variable, and expand and simplify quadratic expressions in one variable
- Multiplying polynomial by polynomial
- Quadratic function in general form: y = ax^2 + bx + c
- Quadratic function in vertex form: y = a(x-p)^2 + q
ON.OE.11FA.A1.3Factor quadratic expressions in one variable, including those for which a ? 1, differences of squares, and perfect square trinomials, by selecting and applying an appropriate strategy
- Factor by taking out the greatest common factor
- Factor by grouping
- Factoring difference of squares: $x^2 - y^2$
- Factoring trinomials
ON.OE.11FA.A1.4Solve quadratic equations by selecting and applying a factoring strategy
- Solving quadratic equations by factoring
ON.OE.11FA.A1.5Determine, through investigation, and describe the connection between the factors used in solving a quadratic equation and the x-intercepts of the graph of the corresponding quadratic relation
- Graphing quadratic functions: General form VS. Vertex form
- Finding the quadratic functions for given parabolas
ON.OE.11FA.A1.6Explore the algebraic development of the quadratic formula, and apply the formula to solve quadratic equations, using technology
- Using quadratic formula to solve quadratic equations
ON.OE.11FA.A1.7Relate the real roots of a quadratic equation to the x-intercepts of the corresponding graph, and connect the number of real roots to the value of the discriminant
- Nature of roots of quadratic equations: The discriminant
ON.OE.11FA.A1.8Determine the real roots of a variety of quadratic equations, and describe the advantages and disadvantages of each strategy
- Solving quadratic equations by completing the square
- Applications of quadratic equations
ON.OE.11FA.A2.1Explain the meaning of the term function, and distinguish a function from a relation that is not a function, through investigation of linear and quadratic relations using a variety of representations and strategies
- Identifying functions
- Function notation
ON.OE.11FA.A2.2Substitute into and evaluate linear and quadratic functions represented using function notation, including functions arising from real-world applications
- Function notation (advanced)
ON.OE.11FA.A2.3Explain the meanings of the terms domain and range, through investigation using numeric, graphical, and algebraic representations of linear and quadratic functions, and describe the domain and range of a function appropriately
- Domain and range of a function
ON.OE.11FA.A2.4Explain any restrictions on the domain and the range of a quadratic function in contexts arising from real-world applications
- Introduction to quadratic functions
ON.OE.11FA.A2.5Determine, through investigation using technology, the roles of a, h, and k in quadratic functions of the form f(x) = a(x ? h)? + k, and describe these roles in terms of transformations on the graph of f(x) = x?
- Transformations of quadratic functions
ON.OE.11FA.A2.6Sketch graphs of g(x) = a(x ? h)? + k by applying one or more transformations to the graph of f(x) = x?
- Combining transformations of functions
ON.OE.11FA.A2.7Express the equation of a quadratic function in the standard form f(x) = ax? + bx + c, given the vertex form f(x) = a(x ? h)? + k, and verify, using graphing technology, that these forms are equivalent representations
- Converting from general to vertex form by completing the square
ON.OE.11FA.A2.8Express the equation of a quadratic function in the vertex form f(x) = a(x ? h)? + k, given the standard form f(x) = ax? + bx + c, by completing the square
- Completing the square
ON.OE.11FA.A2.9Sketch graphs of quadratic functions in the factored form f(x) = a(x ? r)(x ? s) by using the x-intercepts to determine the vertex
- Shortcut: Vertex formula
ON.OE.11FA.B1.1Determine, through investigation using a variety of tools and strategies, the value of a power with a rational exponent
- Convert between radicals and rational exponents
- Exponents: Rational exponents
ON.OE.11FA.B1.2Evaluate, with and without technology, numerical expressions containing integer and rational exponents and rational bases
- Combining the exponent rules
- Exponents: Power rule: (a^x)^y = a^(xy)
ON.OE.11FA.B1.3Graph, with and without technology, an exponential relation, given its equation in the form y = a? (a > 0, a ? 1), define this relation as the function f(x) = a?, and explain why it is a function
- Graphing exponential functions
ON.OE.11FA.B1.4Determine, through investigation, and describe key properties relating to domain and range, intercepts, increasing/decreasing intervals, and asymptotes for exponential functions represented in a variety of ways
- Graphing transformations of exponential functions
ON.OE.11FA.B1.5Determine, through investigation using technology, the roles of a, c, and d in functions in the form f(x) = a?, f(x) = a? + c, and f(x) = a(???), and describe these roles in terms of transformations on the graph of f(x) = a? with angles expressed in degrees
- Finding an exponential function given its graph
ON.OE.11FA.B2.1Distinguish exponential functions from linear and quadratic functions by making comparisons in a variety of ways
- Exponential growth and decay by a factor
ON.OE.11FA.B2.2Determine, through investigation using technology, that the equation of a given exponential function can be expressed using different bases, and explain the connections between the equivalent forms in a variety of ways
- Evaluating logarithms using change-of-base formula
- Solving exponential equations using exponent rules
ON.OE.11FA.B3.1Collect data that can be modelled as an exponential function, through investigation with and without technology, from primary sources, using a variety of tools, or from secondary sources, and graph the data
- Exponential growth and decay by percentage
ON.OE.11FA.B3.2Identify exponential functions, including those that arise from real-world applications involving growth and decay, given various representations, and explain any restrictions that the context places on the domain and range
- Exponential decay: Half-life
ON.OE.11FA.B3.3Solve problems using given graphs or equations of exponential functions arising from a variety of real-world applications by interpreting the graphs or by substituting values for the exponent into the equations
- Finance: Compound interest
ON.OE.11FA.C1.1Solve problems, including those that arise from real-world applications, by determining the measures of the sides and angles of right triangles using the primary trigonometric ratios
- Use sine ratio to calculate angles and sides (Sin = o / h)
- Use cosine ratio to calculate angles and sides (Cos = a / h)
- Use tangent ratio to calculate angles and sides (Tan = o / a)
ON.OE.11FA.C1.2Solve problems involving two right triangles in two dimensions
- Combination of SohCahToa questions
ON.OE.11FA.C1.3Verify, through investigation using technology, the sine law and the cosine law
- Law of sines
- Law of cosines
ON.OE.11FA.C1.4Describe conditions that guide when it is appropriate to use the sine law or the cosine law, and use these laws to calculate sides and angles in acute triangles
- Applications of the sine law and cosine law
ON.OE.11FA.C1.5Solve problems that require the use of the sine law or the cosine law in acute triangles, including problems arising from real-world applications
- Introduction to bearings
- Bearings and direction word problems
- Angle of elevation and depression
ON.OE.11FA.C2.1Describe key properties of periodic functions arising from real-world applications, given a numeric or graphical representation
- Sine graph: y = sin x
ON.OE.11FA.C2.2Predict, by extrapolating, the future behaviour of a relationship modelled using a numeric or graphical representation of a periodic function
- Cosine graph: y = cos x
ON.OE.11FA.C2.3Make connections between the sine ratio and the sine function by graphing the relationship between angles from 0? to 360? and the corresponding sine ratios, with or without technology, defining this relationship as the function f(x) = sinx, and explaining why the relationship is a function
- Tangent graph: y = tan x
ON.OE.11FA.C2.4Sketch the graph of f(x) = sinx for angle measures expressed in degrees, and determine and describe its key properties
- Cotangent graph: y = cot x
ON.OE.11FA.C2.5Make connections, through investigation with technology, between changes in a real-world situation that can be modelled using a periodic function and transformations of the corresponding graph
- Secant graph: y = sec x
ON.OE.11FA.C2.6Determine, through investigation using technology, the roles of the parameters a, c, and d in functions in the form f(x) = a sinx, f(x) = sinx + c, and f(x) = sin(x ? d), and describe these roles in terms of transformations on the graph of f(x) = sinx with angles expressed in degrees
- Cosecant graph: y = csc x
ON.OE.11FA.C2.7Sketch graphs of f(x) = a sinx, f(x) = sinx + c, and f(x) = sin(x ? d) by applying transformations to the graph of f(x) = sinx, and state the domain and range of the transformed functions
- Graphing transformations of trigonometric functions
ON.OE.11FA.C3.1Collect data that can be modelled as a sine function, through investigation with and without technology, from primary sources, using a variety of tools, or from secondary sources, and graph the data
- Determining trigonometric functions given their graphs
ON.OE.11FA.C3.2Identify periodic and sinusoidal functions, including those that arise from real-world applications involving periodic phenomena, given various representations, and explain any restrictions that the context places on the domain and range
- Ferris wheel trig problems
ON.OE.11FA.C3.3Pose problems based on applications involving a sine function, and solve these and other such problems by using a given graph or a graph generated with technology from a table of values or from its equation
- Tides and water depth trig problems
- Spring (simple harmonic motion) trig problems

Grade 11 Functions and Applications (MCF3M)

About Grade 11 Ontario math

Ontario Grade 11 math follows The Ontario Curriculum and the MCF3M course is organized around five core strands: quadratic relations and equations, introducing functions, quadratic functions, exponential functions, and trigonometric functions. Students work through real-world applications, algebraic reasoning, and graphing across all strands. StudyPug provides step-by-step lessons, worked examples, and practice problems aligned to every strand in the course.

Strands covered: Quadratic Relations and Equations, Introducing Functions, Quadratic Functions, Exponential Functions, and Trigonometric Functions
Video lessons explaining every concept, from factoring quadratics to the sine law and exponential growth
Practice problems and step-by-step solutions for each topic, matched to Ontario MCF3M expectations
Curriculum-aligned content so your child practices exactly what their Ontario teacher is covering in class

Curriculum topics by strand

Browse lessons and practice problems organized by strand, aligned to the Ontario Curriculum for Grade 11 Functions and Applications (MCF3M).

Topic includes:

Practice

Video

Quiz

OE_ID

Expectations

StudyPug Topic

Ontario Grade 11 Math Topics

Quadratic Relations and Equations: Posing and solving problems with quadratic relations from real-world contexts, expanding and simplifying expressions, factoring strategies, solving quadratic equations by factoring and the quadratic formula, and connecting roots to x-intercepts using the discriminant.
Introducing Functions: Distinguishing functions from relations, evaluating functions using function notation, and determining domain and range through numeric, graphical, and algebraic representations for linear and quadratic functions.
Quadratic Functions: Exploring transformations of f(x) = x squared, converting between standard, vertex, and factored forms, completing the square, sketching graphs using key features, and modelling real-world data with quadratic functions.
Exponential Functions: Evaluating powers with integer and rational exponents, graphing exponential functions, identifying key properties such as asymptotes and intercepts, applying transformations, and solving problems involving growth and decay.
Trigonometric Functions: Solving problems with primary trigonometric ratios and the sine and cosine laws in right and acute triangles, exploring periodic functions, graphing f(x) = sinx, and applying transformations to model real-world periodic phenomena.

How StudyPug Helps Ontario Grade 11 Math Students

When your child gets stuck on a concept in MCF3M - whether that is completing the square, applying the sine law, or interpreting an exponential graph - StudyPug lets them find a video lesson focused on exactly that skill and work through practice problems with step-by-step solutions right away.

Each lesson is broken into manageable pieces so students can build confidence strand by strand, reviewing factoring strategies one night and then moving on to exponential growth the next, all at their own pace and on any device.

Aligned to Ontario Grade 11 Math Curriculum

Every lesson and practice problem in StudyPug for MCF3M is organized to match the Ontario Curriculum expectations for Grade 11 Functions and Applications, University/College Preparation, so your child is always practicing the skills and concepts their Ontario teacher is covering in class.

Ready to put your Grade 11 Math skills to the test?

Jump into practice questions for every ON Grade 11 topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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