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Grade 10 · 16 knowledge points · 87 sub-skills · Browse every skill by grade and topic.

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SkillsMap

A. Number

  1. 1Operations on Powers with Integral Exponents
    5 sub-skills
    1. 1aThe exponent zero
    2. 1bNegative exponents
    3. 1cMultiplying, dividing and powering the same base
    4. 1dPowers of products and quotients
    5. 1eSimplifying to positive exponents
  2. 2Prime Factorization
    5 sub-skills
    1. 2aPrime factorization in exponent form
    2. 2bGreatest common factor
    3. 2cLeast common multiple
    4. 2dDeciding: GCF or LCM?
    5. 2eSquare and cube roots from primes

B. Patterns & Algebra

  1. 1Arithmetic Sequences
    4 sub-skills
    1. 1aSpotting an arithmetic sequence
    2. 1bThe general term tₙ = t₁ + (n − 1)d
    3. 1cWorking backwards for n, t₁ or d
    4. 1dA sequence is a line with holes in it
  2. 2Functions and Relations: Connecting Data, Graphs, and Situations
    5 sub-skills
    1. 2aOne relation, four representations
    2. 2bIs it a function?
    3. 2cDomain and range
    4. 2dFunction notation f(x)
    5. 2eReading a graph as a story
  3. 3Linear Functions: Slope and Equations of Lines
    6 sub-skills
    1. 3aSlope as a rate of change
    2. 3bSlope from two points
    3. 3cSlope–intercept form y = mx + b
    4. 3dPoint–slope form
    5. 3eGeneral form, and switching between forms
    6. 3fParallel and perpendicular lines
  4. 4Multiplication of Polynomial Expressions
    4 sub-skills
    1. 4aMonomial × polynomial
    2. 4bBinomial × binomial
    3. 4cPatterns worth memorising
    4. 4dBigger products and repeated factors
  5. 5Polynomial Factoring
    7 sub-skills
    1. 5aCommon factor first
    2. 5bDifference of squares
    3. 5cPerfect square trinomials
    4. 5dTrinomials with x² in front
    5. 5eFactoring by grouping
    6. 5fTrinomials with a coefficient in front
    7. 5gChoosing a method and finishing the job
  6. 6Systems of Linear Equations
    6 sub-skills
    1. 6aWhat a solution to a system means
    2. 6bSolving by graphing
    3. 6cSolving by substitution
    4. 6dSolving by elimination
    5. 6eOne, none, or infinitely many
    6. 6fSetting up a system from a situation

C. Geometry & Measurement

  1. 1Metric and Imperial Measurement and Conversions
    6 sub-skills
    1. 1aReferents: measuring without a tape
    2. 1bReading tapes, scales and gauges
    3. 1cConverting inside the metric system
    4. 1dConverting inside the imperial system
    5. 1eCrossing between the two systems
    6. 1fSquare and cubic unit conversions
  2. 2Primary Trigonometric Ratios
    11 sub-skills
    1. 2aFinding the right triangle in the job
    2. 2bPicking sin, cos or tan on site
    3. 2cMeasuring what you can't reach
    4. 2dFinding an angle: pitch, grade and slope
    5. 2eAngles of elevation and depression
    6. 2fWhy the ratio depends only on the angle
    7. 2gLabelling the sides and defining sin, cos, tan
    8. 2hChoosing which ratio to use
    9. 2iFinding an unknown side
    10. 2jFinding an unknown angle
    11. 2kSolving a right triangle completely
  3. 3Surface Area and Volume
    5 sub-skills
    1. 3aSurface area or volume?
    2. 3bPrisms and cylinders
    3. 3cPyramids, cones and spheres
    4. 3dComposite objects
    5. 3eFrom measurement to a materials order

D. Data & Probability

  1. 1Central Tendency
    4 sub-skills
    1. 1aMean, median and mode
    2. 1bOutliers and the trimmed mean
    3. 1cWeighted mean
    4. 1dChoosing — and arguing with — a measure
  2. 2Create, Interpret, and Critique Graphs
    5 sub-skills
    1. 2aPulling numbers off a graph
    2. 2bPicking the right kind of graph
    3. 2cBuilding a graph that holds up
    4. 2dCatching a graph that misleads
    5. 2eMaking a call from a graph
  3. 3Experimental Probability
    4 sub-skills
    1. 3aProbability from actual trials
    2. 3bExperimental vs theoretical
    3. 3cPredicting from a probability
    4. 3dOdds, risk and making the call

E. Financial Literacy

  1. 1Financial Literacy
    6 sub-skills
    1. 1aThe ways a job pays you
    2. 1bOvertime, stat holidays and shift premiums
    3. 1cGetting paid as your own boss
    4. 1dDeductions and what actually lands
    5. 1eComparing offers properly
    6. 1fLiving on your net pay
  2. 2Financial Literacy: Gross and Net Pay
    4 sub-skills
    1. 2aWorking out gross pay
    2. 2bWhere the money goes: CPP, EI, income tax
    3. 2cFrom gross to net
    4. 2dWorking backwards and comparing offers