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  • Mathematics // Probability

    Ordering Likelihoods

    Compare the likelihood of different events and order them from least to most likely — including situations with unequal outcomes such as a bag with more of one…

    Ages 9 to 10Concept
  • Mathematics // Probability

    The 0-to-1 Probability Scale

    Understand probability as a measure expressed as a number between 0 (impossible) and 1 (certain); place events on the probability scale; express probabilities…

    Ages 10 to 11Concept
  • Mathematics // Probability

    Probabilities Sum to One

    Understand that when all possible outcomes of a trial are listed, their probabilities must add up to 1; use this to find the probability of an event NOT…

    Ages 10 to 11Concept
  • Mathematics // Probability

    Complementary events

    Understand and apply the rule that probabilities of all mutually exclusive outcomes sum to one; use this to find the probability of a complementary event (P(not…

    Ages 11 to 13Concept
  • Mathematics // Probability

    The Probability Scale

    Understand probability as a measure on a scale from 0 (impossible) to 1 (certain); use the language of probability including likely, unlikely, certain, and…

    Ages 11 to 13Concept
  • Mathematics // Ratio & Proportion

    One Quantity as a Fraction

    Express one quantity as a fraction of another where the result may be less than 1 or greater than 1, and interpret the meaning in context

    Ages 11 to 12Concept
  • Mathematics // Ratio & Proportion

    Percentages as Fractions

    Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a…

    Ages 11 to 13Concept
  • Mathematics // Ratio & Proportion

    Proportion

    Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one…

    Ages 12 to 14Concept
  • Mathematics // Ratio & Proportion

    Ratio Notation and Relationships

    Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios

    Ages 12 to 14Concept