Will this help with my child's Grade 10 math homework?

Yes. StudyPug covers every MFM2P strand, from similar triangles and trigonometry to quadratic relations, so your child can find a lesson or worked example that matches the exact topic assigned at school.

How long are the video lessons for Grade 10 math?

Most video lessons run between 5 and 15 minutes, broken into focused steps. Your child can pause, rewind, and rewatch as many times as needed without losing their place in the course.

Is there a provincial test for Grade 10 math in Ontario?

Grade 10 is not a math assessment year under the EQAO schedule. The main EQAO math test is at Grade 9, so MFM2P students are not writing a provincial math exam this year.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, laptops, and desktop computers, so your child can study at home or on the go without needing a specific device.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so your child can try the content before you commit. A 30-day money-back guarantee is also included if the subscription is not the right fit.

ON Grade 10 Math Curriculum

Give your child the support they need for Foundations of Mathematics, Grade 10 Applied. Every topic from similar triangles to quadratic relations is covered, matched to what Ontario schools teach.

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ON Grade 10 Math Curriculum

OE_IDExpectationsStudyPug Topic

ON.OE.10F.1.1Verify, through investigation, properties of similar triangles; determine the lengths of sides of similar triangles, using proportional reasoning; solve problems involving similar triangles in realistic situations
- Combining the exponent rules
- Similar triangles
- Similar polygons
- Proportions
- Isosceles and equilateral triangles
ON.OE.10F.1.2Determine, through investigation, the relationship between the ratio of two sides in a right triangle and the ratio of the two corresponding sides in a similar right triangle, and define the sine, cosine, and tangent ratios; determine the measures of the sides and angles in right triangles, using the primary trigonometric ratios and the Pythagorean theorem; solve problems involving the measures of sides and angles in right triangles in real-life applications; describe, through participation in an activity, the application of trigonometry in an occupation
- Use sine ratio to calculate angles and sides (Sin = o / h)
- Use cosine ratio to calculate angles and sides (Cos = a / h)
- Combination of SohCahToa questions
- Solving expressions using 45-45-90 special right triangles
- Solving expressions using 30-60-90 special right triangles
- Use tangent ratio to calculate angles and sides (Tan = o / a)
- Pythagorean theorem
- Using the pythagorean relationship
- Applications of pythagorean theorem
ON.OE.10F.1.3Use the imperial system when solving measurement problems; perform everyday conversions between the imperial system and the metric system and within these systems, as necessary to solve problems involving measurement; determine, through investigation, the relationship for calculating the surface area of a pyramid; solve problems involving the surface areas of prisms, pyramids, and cylinders, and the volumes of prisms, pyramids, cylinders, cones, and spheres, including problems involving combinations of these figures, using the metric system or the imperial system, as appropriate
- Conversions between metric and imperial systems
- 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
- Metric systems
- Imperial systems
- Conversions involving squares and cubic
ON.OE.10F.2.1Solve first-degree equations involving one variable, including equations with fractional coefficients; determine the value of a variable in the first degree, using a formula; express the equation of a line in the form y = mx + b, given the form Ax + By + C = 0
- Slope intercept form: y = mx + b
- General form: Ax + By + C = 0
- Introduction to linear equations
- Special case of linear equations: Horizontal lines
- Special case of linear equations: Vertical lines
ON.OE.10F.2.2Connect the rate of change of a linear relation to the slope of the line, and define the slope as the ratio rise/run; identify y = mx + b as a common form for the equation of a straight line, and identify the special cases x = a, y = b; identify, through investigation with technology, the geometric significance of m and b in the equation y = mx + b; identify, through investigation, properties of the slopes of lines and line segments, using graphing technology to facilitate investigations, where appropriate; graph lines by hand, using a variety of techniques; determine the equation of a line, given its graph, the slope and y-intercept, the slope and a point on the line, or two points on the line
- Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- Point-slope form: y - y_1 = m(x - x_1)
- Graphing linear functions using table of values
- Graphing linear functions using x- and y-intercepts
- Graphing from slope-intercept form y=mx+b
- Graphing linear functions using a single point and slope
- Word problems of graphing linear functions
- Rate of change
- Parallel and perpendicular lines in linear functions
- Applications of linear relations
ON.OE.10F.2.3Determine graphically the point of intersection of two linear relations; solve systems of two linear equations involving two variables with integral coefficients, using the algebraic method of substitution or elimination; solve problems that arise from realistic situations described in words or represented by given linear systems of two equations involving two variables, by choosing an appropriate algebraic or graphical method
- Money related questions in linear equations
- Unknown number related questions in linear equations
- Distance and time related questions in linear equations
- Rectangular shape related questions in linear equations
- Determining number of solutions to linear equations
- Solving systems of linear equations by graphing
- Applications of linear equations
- Solving systems of linear equations by elimination
- Solving systems of linear equations by substitution
ON.OE.10F.3.1Expand and simplify second-degree polynomial expressions involving one variable that consist of the product of two binomials or the square of a binomial, using a variety of tools and strategies; factor binomials and trinomials involving one variable up to degree two, by determining a common factor using a variety of tools and strategies; factor simple trinomials of the form x^2 + bx + c, using a variety of tools and strategies; factor the difference of squares of the form x^2 ? a^2
- Multiplying monomial by monomial
- Multiplying monomial by binomial
- Multiplying binomial by binomial
- Multiplying polynomial by polynomial
- Factor by taking out the greatest common factor
- Factor by grouping
- Factoring difference of squares: $x^2 - y^2$
- Factoring trinomials
ON.OE.10F.3.2Collect data that can be represented as a quadratic relation, from experiments using appropriate equipment and technology or from secondary sources; graph the data and draw a curve of best fit, if appropriate, with or without the use of technology; determine, through investigation using technology, that a quadratic relation of the form y = ax^2 + bx + c (a ? 0) can be graphically represented as a parabola, and determine that the table of values yields a constant second difference; identify the key features of a graph of a parabola, using a given graph or a graph generated with technology from its equation, and use the appropriate terminology to describe the features; compare, through investigation using technology, the graphical representations of a quadratic relation in the form y = x^2 + bx + c and the same relation in the factored form y = (x ? r)(x ? s), and describe the connections between each algebraic representation and the graph
- Characteristics of quadratic functions
- Transformations of quadratic functions
- Quadratic function in general form: y = ax^2 + bx + c
- Converting from general to vertex form by completing the square
- Shortcut: Vertex formula
- Graphing quadratic functions: General form VS. Vertex form
- Finding the quadratic functions for given parabolas
- Quadratic function in vertex form: y = a(x-p)^2 + q
ON.OE.10F.3.3Solve problems involving a quadratic relation by interpreting a given graph or a graph generated with technology from its equation; solve problems by interpreting the significance of the key features of graphs obtained by collecting experimental data involving quadratic relations
- Applications of quadratic functions
- Applications of quadratic equations

Foundations of Mathematics, Grade 10, Applied (MFM2P)

About Grade 10 Ontario math

Ontario's Grade 10 Applied math course follows the Ontario Curriculum, organized around measurement, geometry, linear relations, and quadratic relations. In MFM2P, students work through similar triangles, trigonometry in right triangles, surface area and volume, linear equations and systems, polynomial operations, and the properties of parabolas. StudyPug provides video lessons, worked examples, and practice problems that map directly to each strand of this course.

Strands covered: similar triangles, trigonometry, measurement, linear relations, systems of equations, polynomials, and quadratic relations
Video lessons and step-by-step explanations for every MFM2P topic
Practice problems with guided solutions, aligned to the Ontario Curriculum
Study on any device, any time, at a pace that fits your child's schedule

Curriculum topics by strand

Find lessons and practice for every strand, aligned to the Ontario Curriculum for Foundations of Mathematics, Grade 10, Applied (MFM2P).

Topic includes:

Practice

Video

Quiz

OE_ID

Expectations

StudyPug Topic

Ontario Grade 10 Math Topics

Similar triangles: verifying properties of similar triangles and solving problems using proportional reasoning.
Trigonometry: defining and applying sine, cosine, and tangent ratios; solving right-triangle problems using primary trigonometric ratios and the Pythagorean theorem.
Measurement: working in imperial and metric systems; calculating surface area of pyramids, prisms, and cylinders; finding volumes of prisms, pyramids, cylinders, cones, and spheres.
Linear equations and algebra: solving first-degree equations, rearranging formulas, and expressing lines in the form y = mx + b from standard form Ax + By + C = 0.
Linear relations: connecting rate of change to slope; identifying and graphing lines by hand; determining equations of lines from graphs, slope, or two points.
Systems of linear equations: finding points of intersection graphically; solving two-variable systems by substitution or elimination; applying systems to real-life situations.
Polynomial expressions: expanding and simplifying products of binomials; factoring binomials, trinomials of the form x^2 + bx + c, and differences of squares.
Quadratic relations - introduction: collecting data, drawing curves of best fit, and identifying the parabola as the graph of y = ax^2 + bx + c; connecting factored form to key features.
Quadratic relations - applications: solving problems by interpreting graphs of quadratic relations and key features such as vertex, intercepts, and axis of symmetry.

How StudyPug Helps Ontario Grade 10 Math Students

When your child gets stuck on a step in MFM2P, they can search for the exact topic and watch a video lesson that walks through it from the beginning. Each lesson is followed by practice problems with full step-by-step solutions, so they can check where their reasoning went off track and try again right away.

StudyPug organizes the entire course by strand, making it straightforward to jump to similar triangles before a test, review polynomial factoring after class, or work through quadratic relations at a slower pace without falling behind on other topics.

Aligned to Ontario Grade 10 Math Curriculum

Every lesson and practice set in this course is built around the Ontario Curriculum expectations for Foundations of Mathematics, Grade 10, Applied (MFM2P), so the content your child studies on StudyPug matches what their teacher is covering in class.

Ready to put your Grade 10 Math skills to the test?

Jump into practice questions for every Ontario Grade 10 Math 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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