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Grade 8 · 14 knowledge points · 66 sub-skills · Browse every skill by grade and topic.

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SkillsMap

A. Number

  1. 1Numerical proportional reasoning (rates, ratio, proportion, percent)
    5 sub-skills
    1. 1aWriting and simplifying ratios
    2. 1bUnit rates
    3. 1cSetting up and solving proportions
    4. 1dPercent as a proportion: finding the whole or the rate
    5. 1ePercent increase and decrease
  2. 2Percents less than 1 and greater than 100
    4 sub-skills
    1. 2aPercents to decimals, and back
    2. 2bPercents greater than 100%
    3. 2cPercents less than 1%
    4. 2dFractional percents
  3. 3Perfect squares and cubes
    3 sub-skills
    1. 3aSquaring a number
    2. 3bCubing a number
    3. 3cSpotting perfect squares and perfect cubes
  4. 4Square and cube roots
    4 sub-skills
    1. 4aSquare roots of perfect squares
    2. 4bCube roots of perfect cubes
    3. 4cEstimating square roots
    4. 4dSquare roots of decimals and fractions

B. Computational Fluency

  1. 1Operations with fractions
    5 sub-skills
    1. 1aAdding & subtracting mixed numbers
    2. 1bMultiplying fractions
    3. 1cDividing fractions
    4. 1dOperations with negative fractions
    5. 1eOrder of operations with fractions

C. Patterns & Algebra

  1. 1Discrete linear relations (extended to integers)
    5 sub-skills
    1. 1aFinding the constant rate of change
    2. 1bWriting the rule for a pattern
    3. 1cGraphing a discrete linear relation
    4. 1dFinding a far-away term
    5. 1eWorking backwards to the term number
  2. 2Expressions — writing and evaluating using substitution
    5 sub-skills
    1. 2aVariables, coefficients & terms
    2. 2bWriting an expression from words
    3. 2cEvaluating with one variable
    4. 2dEvaluating with powers & two variables
    5. 2eUsing formulas by substitution
  3. 3Two-step equations with integer coefficients
    5 sub-skills
    1. 3aUndoing one integer step
    2. 3bSolving ax + b = c with negative numbers
    3. 3cSolving when the coefficient is negative
    4. 3dTwo-step equations with division
    5. 3eWriting, solving & checking a two-step equation

D. Geometry & Measurement

  1. 1Construction, views, and nets of 3D objects
    5 sub-skills
    1. 1aFaces, edges, and vertices
    2. 1bTop, front, and side views
    3. 1cBuilding a solid from its views
    4. 1dMatching a net to its solid
    5. 1eDrawing and labelling a net
  2. 2Pythagorean theorem
    5 sub-skills
    1. 2aWhat the Pythagorean theorem says
    2. 2bFinding the hypotenuse
    3. 2cFinding a missing leg
    4. 2dIs it a right triangle?
    5. 2ePythagoras in real problems
  3. 3Surface area and volume of regular solids
    5 sub-skills
    1. 3aVolume or surface area?
    2. 3bVolume = base area × height
    3. 3cSurface area of a rectangular prism
    4. 3dSurface area of a triangular prism
    5. 3eSurface area of a cylinder

E. Data & Probability

  1. 1Central tendency (mean, median, mode)
    5 sub-skills
    1. 1aFinding the mean
    2. 1bFinding the median
    3. 1cFinding the mode
    4. 1dHow an outlier changes the mean
    5. 1eChoosing mean, median, or mode
  2. 2Theoretical probability with two independent events
    5 sub-skills
    1. 2aTheoretical vs experimental probability
    2. 2bDeciding if two events are independent
    3. 2cListing the sample space
    4. 2dMultiplying probabilities of independent events
    5. 2eEvents you have to count out

F. Financial Literacy

  1. 1Best buys
    5 sub-skills
    1. 1aFinding the unit price
    2. 1bComparing packages of different sizes
    3. 1cWorking out a discount
    4. 1dAdding sales tax
    5. 1eDeciding the real best buy