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

Yes. StudyPug covers every strand in Ontario's MCR3U course, so your child can find step-by-step explanations and practice problems that match exactly what their teacher has assigned.

How long are the video lessons?

Most video lessons run between 5 and 15 minutes, making them easy to fit into a study session. Students can pause, rewind, and re-watch as many times as they need to work through a concept.

Is there an Ontario test for Grade 11 math?

Grade 11 is not a provincially assessed year for math in Ontario. The EQAO math assessment is administered in Grades 3, 6, and 9, so Grade 11 students are not required to write a provincial math exam.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your child can study at home, at the library, or anywhere else they have an internet connection.

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 you time to decide if it is the right fit for your child.

ON Grade 11 Math Curriculum

Give your child the support they need for Grade 11 Functions in Ontario. Every strand from MCR3U is covered with clear lessons and practice problems tied to what their school teaches.

ON Grade 11 Math Curriculum

OE_IDExpectationsStudyPug Topic

ON.OE.11F.A1.1Explain 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 (i.e., tables of values, mapping diagrams, graphs, function machines, equations) and strategies (e.g., identifying a one-to-one or many-to-one mapping; using the vertical-line test)
- Domain and range of a function
- Identifying functions
- Function notation
- Absolute value functions
- Introduction to quadratic functions
ON.OE.11F.A1.2Represent linear and quadratic functions using function notation, given their equations, tables of values, or graphs, and substitute into and evaluate functions
- Characteristics of quadratic functions
- Quadratic function in general form: y = ax^2 + bx + c
- Graphing quadratic functions: General form VS. Vertex form
ON.OE.11F.A1.3Explain the meanings of the terms domain and range, through investigation using numeric, graphical, and algebraic representations of the functions f(x) = x, f(x) = x^2, f(x) = ?x, and f(x) = 1/x; describe the domain and range of a function appropriately; and explain any restrictions on the domain and range in contexts arising from real-world applications
- Graphing reciprocals of linear functions
- Graphing reciprocals of quadratic functions
ON.OE.11F.A1.4Relate the process of determining the inverse of a function to their understanding of reverse processes
- Inverse functions
ON.OE.11F.A1.5Determine the numeric or graphical representation of the inverse of a linear or quadratic function, given the numeric, graphical, or algebraic representation of the function, and make connections between the graph of a function and the graph of its inverse
- Finding inverse trigonometric function from its graph
ON.OE.11F.A1.6Determine the relationship between the domain and range of a function and the domain and range of the inverse relation, and determine whether or not the inverse relation is a function
- One to one functions
ON.OE.11F.A1.8Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = af(k(x ? d)) + c, and describe these roles in terms of transformations on the graphs of f(x) = x, f(x) = x^2, f(x) = ?x, and f(x) = 1/x
- Transformations of functions: Horizontal translations
- Transformations of functions: Vertical translations
- Transformations of functions: Horizontal stretches
- Transformations of functions: Vertical stretches
ON.OE.11F.A1.9Sketch graphs of y = af(k(x ? d)) + c by applying one or more transformations to the graphs of f(x) = x, f(x) = x^2, f(x) = ?x, and f(x) = 1/x, and state the domain and range of the transformed functions
- Combining transformations of functions
ON.OE.11F.A2.1Determine the number of zeros of a quadratic function, using a variety of strategies
- Nature of roots of quadratic equations: The discriminant
ON.OE.11F.A2.2Determine the maximum or minimum value of a quadratic function whose equation is given in the form f(x) = ax^2 + bx + c, using an algebraic method
- Shortcut: Vertex formula
ON.OE.11F.A2.3Solve problems involving quadratic functions arising from real-world applications and represented using function notation
- Applications of quadratic functions
- Applications of quadratic equations
ON.OE.11F.A2.4Determine, through investigation, the transformational relationship among the family of quadratic functions that have the same zeros, and determine the algebraic representation of a quadratic function, given the real roots of the corresponding quadratic equation and a point on the function
- Transformations of quadratic functions
- Finding the quadratic functions for given parabolas
ON.OE.11F.A2.5Solve problems involving the intersection of a linear function and a quadratic function graphically and algebraically
- System of linear-quadratic equations
ON.OE.11F.A3.1Simplify polynomial expressions by adding, subtracting, and multiplying
- Multiplying polynomial by polynomial
- Factor by taking out the greatest common factor
- Factoring trinomials
ON.OE.11F.A3.2Verify, through investigation with and without technology, that ?ab = ?a ? ?b, a ? 0, b ? 0, and use this relationship to simplify radicals and radical expressions obtained by adding, subtracting, and multiplying
- Multiplying radicals
- Operations with radicals
ON.OE.11F.A3.3Simplify rational expressions by adding, subtracting, multiplying, and dividing, and state the restrictions on the variable values
- Simplifying rational expressions and restrictions
- Adding and subtracting rational expressions
- Multiplying rational expressions
- Dividing rational expressions
ON.OE.11F.B1.1Graph, with and without technology, an exponential relation, given its equation in the form y = a^x (a > 0, a ? 1), define this relation as the function f(x) = a^x, and explain why it is a function
- Graphing exponential functions
ON.OE.11F.B1.2Determine, through investigation using a variety of tools and strategies, the value of a power with a rational exponent
- Exponents: Rational exponents
ON.OE.11F.B1.3Simplify algebraic expressions containing integer and rational exponents, and evaluate numeric expressions containing integer and rational exponents and rational bases
- Convert between radicals and rational exponents
ON.OE.11F.B2.2Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = af(k(x ? d)) + c, and describe these roles in terms of transformations on the graph of f(x) = a^x (a > 0, a ? 1)
- Graphing transformations of exponential functions
ON.OE.11F.B2.4Determine, 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
- Solving exponential equations using exponent rules
ON.OE.11F.B2.5Represent an exponential function with an equation, given its graph or its properties
- Finding an exponential function given its graph
ON.OE.11F.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 growth and decay by a factor
- Exponential decay: Half-life
- Exponential growth and decay by percentage
ON.OE.11F.C1.1Make connections between sequences and discrete functions, represent sequences using function notation, and distinguish between a discrete function and a continuous function
- Introduction to sequences
ON.OE.11F.C1.5Determine, through investigation, recursive patterns in the Fibonacci sequence, in related sequences, and in Pascal's triangle, and represent the patterns in a variety of ways
- Pascal's triangle
ON.OE.11F.C1.6Determine, through investigation, and describe the relationship between Pascal's triangle and the expansion of binomials, and apply the relationship to expand binomials raised to whole-number exponents
- Binomial theorem
ON.OE.11F.C2.1Identify sequences as arithmetic, geometric, or neither, given a numeric or algebraic representation
- Arithmetic sequences
- Geometric sequences
ON.OE.11F.C2.3Determine the formula for the sum of an arithmetic or geometric series, through investigation using a variety of tools and strategies, and apply the formula to calculate the sum of a given number of consecutive terms
- Arithmetic series
- Geometric series
ON.OE.11F.C3.1Make and describe connections between simple interest, arithmetic sequences, and linear growth, through investigation with technology
- Simple interest
ON.OE.11F.C3.2Make and describe connections between compound interest, geometric sequences, and exponential growth, through investigation with technology
- Finance: Compound interest
ON.OE.11F.C3.5Explain the meaning of the term annuity, and determine the relationships between ordinary simple annuities, geometric series, and exponential growth, through investigation with technology
- Finance: Future value and present value
ON.OE.11F.D1.1Determine the exact values of the sine, cosine, and tangent of the special angles: 0?, 30?, 45?, 60?, and 90?
- Find the exact value of trigonometric ratios
ON.OE.11F.D1.3Determine the measures of two angles from 0? to 360? for which the value of a given trigonometric ratio is the same
- ASTC rule in trigonometry (All Students Take Calculus)
ON.OE.11F.D1.4Define the secant, cosecant, and cotangent ratios for angles in a right triangle in terms of the sides of the triangle, and relate these ratios to the cosine, sine, and tangent ratios
- Inverse reciprocal trigonometric function: finding the exact value
ON.OE.11F.D1.5Prove simple trigonometric identities, using the Pythagorean identity sin^2 x + cos^2 x = 1; the reciprocal identities secx = 1/cosx, cscx = 1/sinx, and cotx = 1/tanx; the quotient identity tanx = sinx/cosx; and the Pythagorean identities 1 + tan^2 x = sec^2 x and 1 + cot^2 x = csc^2 x
- Quotient identities and reciprocal identities
- Pythagorean identities
ON.OE.11F.D1.6Pose problems involving right triangles and oblique triangles in two-dimensional settings, and solve these and other such problems using the primary trigonometric ratios, the cosine law, and the sine law (including the ambiguous case)
- Law of sines
- Law of cosines
- Applications of the sine law and cosine law
ON.OE.11F.D2.1Describe key properties of periodic functions arising from real-world applications, given a numeric or graphical representation
- Sine graph: y = sin x
- Cosine graph: y = cos x
- Tangent graph: y = tan x
ON.OE.11F.D2.5Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = af(k(x ? d)) + c, where f(x) = sinx or f(x) = cosx with angles expressed in degrees, and describe these roles in terms of transformations on the graphs of f(x) = sinx and f(x) = cosx
- Graphing transformations of trigonometric functions
ON.OE.11F.D2.8Represent a sinusoidal function with an equation, given its graph or its properties
- Determining trigonometric functions given their graphs
ON.OE.11F.D3.2Identify 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
- Tides and water depth trig problems
- Spring (simple harmonic motion) trig problems

Grade 11 Functions, University Preparation (MCR3U)

About Grade 11 Ontario math

Ontario follows The Ontario Curriculum, structured around strands that build toward university preparation. Grade 11 Functions (MCR3U) covers characteristics of functions, exponential functions, discrete functions and financial applications, and trigonometric functions. StudyPug provides step-by-step lessons and practice problems for every strand, so students can work through each concept at their own pace alongside their classroom learning.

Strands: Characteristics of Functions, Exponential Functions, Discrete Functions and Financial Applications, Trigonometric Functions
Step-by-step lessons and worked examples for every MCR3U topic
Practice problems with guided explanations aligned to The Ontario Curriculum
Available on any device, any time, so your child can review at home or on the go

Curriculum topics by strand

Lessons and practice for every Grade 11 MCR3U strand, aligned to The Ontario Curriculum.

Topic includes:

Practice

Video

Quiz

OE_ID

Expectations

StudyPug Topic

ON Grade 11 Math Topics

Characteristics of Functions: Distinguishing functions from relations, function notation, domain and range, inverse functions, and transformations applied to linear, quadratic, square root, and reciprocal functions.
Exponential Functions: Graphing and analyzing exponential functions, rational exponents, key properties such as intercepts and asymptotes, transformations, and modeling real-world growth and decay situations.
Discrete Functions and Financial Applications: Arithmetic and geometric sequences and series, recursion formulas, Pascal's triangle and the binomial expansion, and connections to financial topics including compound interest and ordinary simple annuities.
Trigonometric Functions: Exact values of special angles, sine, cosine, and tangent from 0 to 360 degrees, trigonometric identities, the sine and cosine laws, periodic functions, and sinusoidal function graphing and modeling.

How StudyPug Helps Ontario Grade 11 Math Students

When a student gets stuck on transformations of functions or the compound interest formula, StudyPug provides clear step-by-step explanations they can work through at their own pace. Every lesson follows the MCR3U course structure, so students are always studying what is relevant to their class.

Practice problems reinforce each concept, and students can return to any lesson as many times as they need throughout the school year, whether preparing for a unit test or reviewing before a final exam.

Aligned to Ontario Grade 11 Math Curriculum

All StudyPug content for Grade 11 Functions is built around The Ontario Curriculum expectations for MCR3U, covering every strand and learning expectation so that what students study here matches what they are responsible for in school.

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

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

Start Practicing

Written by the StudyPug Math Team

Last updated June 5, 2026

3 M+

students

★★★★★

4.8 average

K-12

all grades