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Grade 9 · 8 knowledge points · 42 sub-skills · Browse every skill by grade and topic.

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SkillsMap

A. Number

  1. 1Exponents and exponent laws (whole-number exponents)
    5 sub-skills
    1. 1aPowers, and where the brackets go
    2. 1bMultiplying and dividing powers
    3. 1cA power raised to a power
    4. 1dWhy anything to the power 0 is 1
    5. 1eUsing several laws in one expression
  2. 2Operations with rational numbers
    5 sub-skills
    1. 2aWhat counts as a rational number
    2. 2bAdding and subtracting rational numbers
    3. 2cMultiplying and dividing rational numbers
    4. 2dOrder of operations with rational numbers
    5. 2eFraction form or decimal form?

B. Patterns & Algebra

  1. 1Multi-step one-variable linear equations
    5 sub-skills
    1. 1aEquations with brackets
    2. 1bTidying up one side first
    3. 1cVariables on both sides
    4. 1dGetting rid of fractions and decimals
    5. 1eFrom a situation to a solved equation
  2. 2Operations with polynomials (degree ≤ 2)
    5 sub-skills
    1. 2aTerms, degree, and what « like » means
    2. 2bCollecting like terms
    3. 2cAdding and subtracting polynomials
    4. 2dMultiplying a polynomial by a monomial
    5. 2eDividing a polynomial by a monomial
  3. 3Two-variable linear relations (graphing, interpolation, extrapolation)
    6 sub-skills
    1. 3aFrom a table to a graph — dots or a line?
    2. 3bGraphing straight from the equation
    3. 3cReading the rate and the starting value
    4. 3dInterpolating: reading between the points
    5. 3eExtrapolating: predicting past the data
    6. 3fWriting the relation for a real situation

C. Geometry & Measurement

  1. 1Spatial proportional reasoning
    5 sub-skills
    1. 1aWhat a scale factor does to a shape
    2. 1bAre these two figures similar?
    3. 1cFinding a missing side in similar figures
    4. 1dScale drawings, maps, and models
    5. 1eWhat scaling does to area and volume

D. Data & Probability

  1. 1Statistics in society
    6 sub-skills
    1. 1aPopulation, sample, and why we sample at all
    2. 1bSpotting a biased sample
    3. 1cQuestions that push you to an answer
    4. 1dGraphs that mislead
    5. 1eThe average they chose, and the base they hid
    6. 1fTwo things moving together isn't proof

E. Financial Literacy

  1. 1Simple budgets and transactions
    5 sub-skills
    1. 1aWhat actually lands in your account
    2. 1bFixed costs and the ones you control
    3. 1cBuilding a monthly budget
    4. 1dTracking transactions and your balance
    5. 1eCash, debit, or credit — what each really costs