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High school

Grades 9 to 12

Students in Grades 9 to 12 practice the core ideas of each course with quick questions they can answer in about 30 seconds. Every question has four choices, and the wrong answers are the mistakes students really make, so a wrong pick shows which idea needs work. Practice in the Daily Sprint, keep a streak, and compete with friends and groups.

This is practice, not a replacement for class or tutoring. Topics are listed in the order the Ontario curriculum teaches them, and every student starts on the first topic of their grade. Students can switch to another topic any time, and the games then use that topic. The Daily Sprint is a quick review of the grade below, across every topic. Schools differ, so pick the topic your class is on.

Grade 9Grade 10Grade 11Grade 12

Grade 9 Math

MTH1W8 topics, 39 skills

Number sense, algebra, linear relations, data, geometry and financial literacy.

  1. 1

    Numbers and roots

    Square roots and estimating roots.

    • Square roots
    • Estimate a square root
  2. 2

    Powers

    Exponent laws, zero and negative exponents, scientific notation.

    • Multiply powers
    • Divide powers
    • Power of a power
    • Zero and negative exponents
    • Scientific notation
  3. 3

    Number sense and operations

    Integers, fractions, percents, rates and proportions.

    • Add and subtract integers
    • Multiply and divide integers
    • Order of operations
    • Add fractions
    • Fraction of an amount
    • Percent of a number
    • Fractions, decimals and percents
    • Unit rate
    • Solve a proportion
  4. 4

    Algebraic expressions and equations

    Simplifying expressions and solving equations and inequalities.

    • Substitute into an expression
    • Collect like terms
    • Distribute
    • Add and subtract polynomials
    • Solve a one-step equation
    • Solve a two-step equation
    • Variable on both sides
    • Solve an inequality
  5. 5

    Linear relations

    Patterns, slope, y-intercept, and parallel and perpendicular lines.

    • Patterns
    • Slope from two points
    • Slope and y-intercept from an equation
    • Parallel and perpendicular
  6. 6

    Data and probability

    Mean, median, mode, range and probability.

    • Mean and median
    • Range and mode
    • Probability
  7. 7

    Geometry and measurement

    Angles, area, circles, volume, units and the Pythagorean theorem.

    • Angles
    • Unit conversions
    • Area and perimeter
    • Circles
    • Volume
    • Pythagorean theorem
  8. 8

    Financial literacy

    Simple and compound interest, discounts and taxes.

    • Simple and compound interest
    • Discounts and taxes

Grade 10 Math

MPM2D5 topics, 30 skills

Quadratics, radicals, coordinate geometry and trigonometry.

  1. 1

    Quadratic relations: key features

    Direction, axis of symmetry and intercepts of a parabola.

    • Opens up or down
    • Axis of symmetry
    • y-intercept of a quadratic
  2. 2

    Transformations of y = x²

    Vertex form, shifts, stretches, and completing the square.

    • Vertex from vertex form
    • Move a parabola
    • Wider or narrower
    • Complete the square
  3. 3

    Solving quadratic equations

    Expanding, factoring, solving, the discriminant, and radicals.

    • Expand two brackets
    • Square a binomial
    • Common factor
    • Factor a trinomial
    • Difference of squares
    • Zeros from factored form
    • Solve a quadratic
    • Solve x² = a number
    • How many solutions
    • Evaluate b² − 4ac
    • Simplify a radical
    • Add radicals
    • Multiply radicals
  4. 4

    Analytic geometry

    Linear systems, midpoint, distance, equations of lines and circles.

    • Solve a linear system
    • Midpoint
    • Distance between points
    • Equation of a line
    • Circle equation
  5. 5

    Trigonometry

    Similar triangles, sine, cosine, tangent and the sine law.

    • Similar triangles
    • Which ratio is it
    • Sine, cosine, tangent
    • Find a side with trig
    • Sine law

Grade 11 Functions

MCR3U4 topics, 30 skills

Functions, exponents, exponential growth, sequences, finance and trigonometry.

  1. 1

    Characteristics of functions

    Function notation, domain, range, inverses, composites, transformations and rational expressions.

    • Function notation
    • Is it a function?
    • Domain
    • Range
    • Inverse of a function
    • Composite functions
    • Shifts of a graph
    • Reflections and stretches
    • Simplify a rational expression
    • Multiply rational expressions
    • Solve a rational equation
  2. 2

    Exponential functions

    Rational exponents, exponent laws, growth and decay.

    • Negative exponents
    • Rational exponents
    • Exponent laws with x
    • Evaluate an exponential
    • Growth or decay
    • Doubling and halving
    • Solve 2^x = a number
    • Rate of change
  3. 3

    Discrete functions

    Sequences, series, recursive formulas and compound interest.

    • Arithmetic sequences
    • Geometric sequences
    • Sum of a series
    • Recursive formulas
    • Compound interest
  4. 4

    Trigonometric functions

    Special angles, reference angles, radians, amplitude, period and midline.

    • Special angle values
    • Reference angle
    • Which quadrant
    • Degrees and radians
    • Amplitude and period
    • Midline of a wave

Grade 12 Advanced Functions

MHF4U4 topics, 32 skills

Polynomial and rational functions, logarithms, trigonometric functions and how functions combine.

  1. 1

    Exponential and logarithmic functions

    Logarithms, their laws, and solving exponential and log equations.

    • Evaluate a logarithm
    • Exponential and log form
    • Laws of logarithms
    • Log of a power
    • Solve an exponential equation
    • Solve a log equation
    • Inverse of an exponential
  2. 2

    Trigonometric functions

    Radians, exact values, period, amplitude, shifts, identities and equations.

    • Radians and degrees
    • Exact trig values in radians
    • Period of a trig function
    • Amplitude and shifts
    • Trig identities
    • Solve a simple trig equation
  3. 3

    Polynomial and rational functions

    Zeros, end behaviour, the remainder and factor theorems, inequalities, asymptotes and holes.

    • End behaviour
    • Zeros from factors
    • Repeated factors
    • Remainder theorem
    • Find a remainder
    • Factor theorem
    • Divide a polynomial
    • Sign of a quadratic
    • Vertical asymptote
    • Horizontal asymptote
    • Holes
    • Solve a rational equation
  4. 4

    Characteristics of functions

    Rates of change, combining functions, composites, inverses, even and odd functions.

    • Average rate of change
    • Combine functions
    • Composite functions
    • Inverse function value
    • Domain and range
    • Even and odd functions
    • Transformations of f(x)

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