Will this help with my child's Grade 12 math homework?

Yes. StudyPug covers every MAP4C strand, including exponential equations, annuities, mortgages, trigonometry, and data analysis, so your child can find step-by-step help for exactly what was assigned in class.

How long are the video lessons?

Most video lessons are short and focused on a single concept, typically five to fifteen minutes, so your child can target the specific topic they need help with rather than sitting through a long lecture.

Is there a provincial test for Grade 12 math in Ontario?

There is no provincial standardized test specifically for Grade 12 MAP4C. Ontario's EQAO assessments cover Grades 3, 6, and 9, and the OSSLT is in Grade 10, so Grade 12 is not an EQAO assessment year.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and desktop computers, so your child can access lessons and practice problems whether they are studying at home or somewhere else.

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 if the subscription does not meet your expectations.

ON Grade 12 Math Curriculum

Help your child succeed in Grade 12 Foundations for College Mathematics with lessons and practice problems built around what Ontario schools actually teach in MAP4C.

ON Grade 12 Math Curriculum

OE_IDExpectationsStudyPug Topic

ON.OE.12FC.A1.1Determine, through investigation, the exponent laws for multiplying and dividing algebraic expressions involving exponents and the exponent law for simplifying algebraic expressions involving a power of a power
- Quotient rule of exponents
- Power of a product rule
- Power of a quotient rule
- Power of a power rule
- Product rule of exponents
- Exponents: Product rule (a^x)(a^y) = a^(x+y)
- Exponents: Division rule: a^x / a^y = a^(x-y)
ON.OE.12FC.A1.2Simplify algebraic expressions containing integer exponents using the laws of exponents
- Negative exponent rule
- Combining the exponent rules
- Exponents: Power rule: (a^x)^y = a^(xy)
- Exponents: Negative exponents
ON.OE.12FC.A1.3Determine, 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.12FC.A1.4Evaluate, with or without technology, numerical expressions involving rational exponents and rational bases
- Scientific notation
ON.OE.12FC.A1.5Solve simple exponential equations numerically and graphically, with technology
- Solving exponential equations with logarithms
- Solving exponential equations using exponent rules
ON.OE.12FC.A1.6Solve problems involving exponential equations arising from real-world applications by using a graph or table of values generated with technology from a given equation
- Graphing exponential functions
- Graphing transformations of exponential functions
- Exponential growth and decay by a factor
- Exponential decay: Half-life
ON.OE.12FC.A1.7Solve exponential equations in one variable by determining a common base
- Solving for exponents
ON.OE.12FC.A2.1Interpret graphs to describe a relationship, using language and units appropriate to the context
- Relationship between two variables
- Understand relations between x- and y-intercepts
- Applications of linear equations
ON.OE.12FC.A2.2Describe trends based on given graphs, and use the trends to make predictions or justify decisions
- Domain and range of a function
- Identifying functions
ON.OE.12FC.A2.3Recognize that graphs and tables of values communicate information about rate of change, and use a given graph or table of values for a relation to identify the units used to measure rate of change
- Rate of change
ON.OE.12FC.A2.4Identify when the rate of change is zero, constant, or changing, given a table of values or a graph of a relation, and compare two graphs by describing rate of change
- Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- Slope intercept form: y = mx + b
ON.OE.12FC.A2.5Compare, through investigation with technology, the graphs of pairs of relations by describing the initial conditions and the behaviour of the rates of change
- General form: Ax + By + C = 0
- Point-slope form: y - y_1 = m(x - x_1)
ON.OE.12FC.A2.6Recognize that a linear model corresponds to a constant increase or decrease over equal intervals and that an exponential model corresponds to a constant percentage increase or decrease over equal intervals, select a model to represent the relationship between numerical data graphically and algebraically, using a variety of tools and strategies, and solve related problems
- 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
ON.OE.12FC.A3.1Solve equations of the form x^n = a using rational exponents
- Solving radical equations
ON.OE.12FC.A3.2Determine the value of a variable of degree no higher than three, using a formula drawn from an application, by first substituting known values and then solving for the variable, and by first isolating the variable and then substituting known values
- Solving literal equations
ON.OE.12FC.A3.3Make connections between formulas and linear, quadratic, and exponential functions, using a variety of tools and strategies
- Function notation (advanced)
- Function notation
- Parallel and perpendicular lines in linear functions
- Applications of linear relations
ON.OE.12FC.A3.4Solve multi-step problems requiring formulas arising from real-world applications
- 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
ON.OE.12FC.C1.1Perform required conversions between the imperial system and the metric system using a variety of tools, as necessary within applications
- Conversions between metric and imperial systems
- Conversions involving squares and cubic
ON.OE.12FC.C1.2Solve problems involving the areas of rectangles, triangles, and circles, and of related composite shapes, in situations arising from real-world applications
- Circles and circumference
- Arcs of a circle
- Areas and sectors of circles
ON.OE.12FC.C1.3Solve problems involving the volumes and surface areas of rectangular prisms, triangular prisms, and cylinders, and of related composite figures, in situations arising from real-world applications
- Surface area and volume of prisms
- Surface area and volume of pyramids
- Surface area and volume of cylinders
ON.OE.12FC.C2.1Recognize, through investigation using a variety of tools and strategies, and explain the significance of optimal perimeter, area, surface area, and volume in various applications
- Surface area and volume of cones
- Surface area and volume of spheres
ON.OE.12FC.C2.2Determine, through investigation using a variety of tools and strategies, the optimal dimensions of a two-dimensional shape in metric or imperial units for a given constraint
- Line symmetry
- Rotational symmetry and transformations
ON.OE.12FC.C2.3Determine, through investigation using a variety of tools and strategies, the optimal dimensions of a right rectangular prism, a right triangular prism, and a right cylinder in metric or imperial units for a given constraint
- Surface area of 3-dimensional shapes
ON.OE.12FC.C3.1Solve problems in two dimensions using metric or imperial measurements, including problems that arise from real-world applications, by determining the measures of the sides and angles of right triangles using the primary trigonometric ratios, and of acute triangles using the sine law and the cosine law
- 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
- Use tangent ratio to calculate angles and sides (Tan = o / a)
ON.OE.12FC.C3.2Make connections between primary trigonometric ratios of obtuse angles and of acute angles, through investigation using a variety of tools and strategies
- Solving expressions using 45-45-90 special right triangles
- Solving expressions using 30-60-90 special right triangles
- ASTC rule in trigonometry (All Students Take Calculus)
ON.OE.12FC.C3.3Determine the values of the sine, cosine, and tangent of obtuse angles
- Word problems relating ladder in trigonometry
- Word problems relating guy wire in trigonometry
- Other word problems relating angles in trigonometry
ON.OE.12FC.C3.4Solve problems involving oblique triangles, including those that arise from real-world applications, using the sine law and the cosine law, and using metric or imperial units
- Law of sines
- Law of cosines
- Applications of the sine law and cosine law
ON.OE.12FC.D1.1Distinguish situations requiring one-variable and two-variable data analysis, describe the associated numerical summaries and graphical summaries, and recognize questions that each type of analysis addresses
- Classification of data
- Sampling methods
ON.OE.12FC.D1.2Describe characteristics of an effective survey, and design questionnaires or experiments for gathering two-variable data
- Census and bias
ON.OE.12FC.D1.3Collect two-variable data from primary sources, through experimentation involving observation or measurement, or from secondary sources, and organize and store the data using a variety of tools
- Influencing factors in data collection
- Data collection
ON.OE.12FC.D1.4Create a graphical summary of two-variable data using a scatter plot, with and without technology
- Bivariate, scatter plots and correlation
ON.OE.12FC.D1.5Determine an algebraic summary of the relationship between two variables that appear to be linearly related, using a variety of tools and strategies, and solve related problems
- Regression analysis
- Equation of the best fit line
ON.OE.12FC.D2.1Recognize and interpret common statistical terms and expressions used in the media
- Frequency distribution and histograms
- Center of a data set: mean, median, mode
- Spread of a data set - standard deviation & variance
- Measures of relative standing - z-score, quartiles, percentiles
ON.OE.12FC.D2.2Describe examples of indices used by the media and solve problems by interpreting and using indices
- Frequency polygons
- Shapes of distributions
ON.OE.12FC.D2.3Interpret statistics presented in the media, and explain how the media, the advertising industry, and others use and misuse statistics to promote a certain point of view
- Stem and leaf plots

Grade 12 Foundations for College Mathematics (MAP4C)

About Grade 12 Ontario math

Ontario Grade 12 Foundations for College Mathematics follows the Ontario Curriculum and is organized around five core strands: exponential functions, modelling with graphs and formulas, personal finance, geometry and trigonometry, and two-variable data analysis and statistics. Students work with exponent laws, annuities, mortgages, budgeting, measurement, trigonometry of oblique triangles, and scatter plot analysis. StudyPug provides step-by-step lessons and practice problems aligned to every strand of this course.

Strands covered: exponential functions, modelling, personal finance, geometry and trigonometry, and data management
Step-by-step lessons and worked examples for every MAP4C topic
Practice problems with guided solutions aligned to the Ontario Curriculum
Available on any device so your child can study at home or on the go

Curriculum topics by strand

Find lessons and practice problems for every strand, aligned to the Ontario Grade 12 Foundations for College Mathematics (MAP4C) curriculum.

Topic includes:

Practice

Video

Quiz

OE_ID

Expectations

StudyPug Topic

Ontario Grade 12 Math Topics

Exponential Functions: exponent laws, rational exponents, exponential equations, and modelling real-world applications with exponential growth and decay
Modelling with Graphs and Formulas: interpreting graphs, identifying rates of change, selecting linear or exponential models, and solving multi-step problems using formulas from real-world applications
Personal Finance: annuities, mortgages, amortization tables, budgeting, living costs, and savings plans for long-term goals
Geometry and Trigonometry: measurement conversions, area, volume, surface area, optimal dimensions, primary trigonometric ratios, sine law, and cosine law for oblique triangles
Two-Variable Data Analysis and Statistics: scatter plots, lines of best fit, correlation, statistical literacy, indices, and evaluating conclusions presented in the media

How StudyPug Helps Ontario Grade 12 Math Students

When a student gets stuck on a MAP4C concept - whether it is solving an exponential equation, reading an amortization table, or determining the line of best fit on a scatter plot - StudyPug provides step-by-step explanations and practice problems that walk through the solution clearly. Students can revisit any lesson as many times as they need until the concept clicks.

Every topic is organized by strand so it is easy to jump to the exact section matching the current unit in class, saving time and reducing frustration for both students and parents.

Aligned to Ontario Grade 12 Math Curriculum

All StudyPug content for this course is aligned to the Ontario Curriculum for Grade 12 Foundations for College Mathematics (MAP4C), covering the same strands and learning expectations that Ontario students are taught in school, so practice on StudyPug directly supports what your child is working on in class.

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Jump into practice questions for every ON Grade 12 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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