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  • Mathematics // Number Representation & Place Value

    Reading and writing numbers (age 10+)

    Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; compare using >, =, < based on place-value meaning

    Ages 10 to 11Method
  • Mathematics // Number Representation & Place Value

    Numbers to Ten Million

    Solve number and practical problems involving reading, writing, ordering, comparing, rounding, and negative numbers up to 10,000,000

    Ages 10 to 11Method
  • Mathematics // Number Representation & Place Value

    Reading and writing numbers to 10,000,000

    Read, write, order, and compare numbers up to 10,000,000 and determine the value of each digit

    Ages 10 to 11Method
  • Mathematics // Number Representation & Place Value

    Reading Decimal Places

    Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths)

    Ages 10 to 11Concept
  • Mathematics // Number Representation & Place Value

    Decimal place value

    Round decimals to any place using place-value understanding; round any whole number to a required degree of accuracy

    Ages 10 to 11Method
  • Mathematics // Number Representation & Place Value

    Measuring temperature

    Use negative numbers in context (temperature, finance, sea level); calculate intervals across zero

    Ages 10 to 11Method
  • Mathematics // Number Representation & Place Value

    Patterns with Powers of Ten

    Explain patterns in zeros when multiplying by powers of 10 and in decimal-point placement when multiplying/dividing by a power of 10; use whole-number exponents…

    Ages 10 to 11Concept
  • Mathematics // Number Representation & Place Value

    Fractions on a number line (age 11+)

    Order positive and negative integers, decimals, and fractions on a number line; use the symbols =, ≠, <, >, ≤, ≥ to compare values including negative numbers…

    Ages 11 to 12Representation
  • Mathematics // Number Representation & Place Value

    Fractions on a number line

    Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers…

    Ages 11 to 12Concept
  • Mathematics // Number Representation & Place Value

    Decimal place value (age 11+)

    Round numbers and measures to an appropriate degree of accuracy including to a specified number of decimal places or significant figures

    Ages 11 to 13Method
  • Mathematics // Number Representation & Place Value

    Square and cube numbers

    Use integer powers and associated real roots (square, cube, and higher); recognise powers of 2, 3, 4, and 5; distinguish between exact representations of roots…

    Ages 11 to 14Method
  • Mathematics // Number Representation & Place Value

    Numbers on a number line

    Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts…

    Ages 11 to 12Concept
  • Mathematics // Number Representation & Place Value

    Estimating by rounding

    Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper…

    Ages 12 to 14Method
  • Mathematics // Number Representation & Place Value

    Powers of Ten Notation

    Interpret and compare numbers in standard form A × 10ⁿ where 1 ≤ A < 10 and n is an integer; convert between ordinary numbers and standard form

    Ages 12 to 14Method
  • Mathematics // Number Representation & Place Value

    Number Sets & Infinity

    Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational…

    Ages 13 to 14Concept
  • Mathematics // Probability

    Probability as a Fraction

    Describe the probability of simple equally-likely outcomes using unit fractions: the probability of rolling a 6 on a fair die is 1/6, flipping heads is 1/2…

    Ages 9 to 10Representation
  • Mathematics // Probability

    Simple Chance Experiments

    Conduct simple probability experiments — flipping a coin, rolling a die, pulling coloured counters from a bag — record results, and compare experimental…

    Ages 9 to 10Method
  • Mathematics // Probability

    Likelihood Language

    Use probability language to describe and compare the likelihood of everyday events using words such as certain, likely, even chance, unlikely, impossible

    Ages 9 to 10Language
  • Mathematics // Probability

    Equally Likely Outcomes

    Understand that 'equally likely' means every outcome has exactly the same chance of occurring; identify whether a given situation has equally likely outcomes (a…

    Ages 9 to 10Concept
  • 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

    Calculating Simple Probability

    Calculate the probability of a simple event with equally likely outcomes using the formula: probability = number of favourable outcomes ÷ total number of…

    Ages 10 to 11Method
  • 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

    Experimental vs Theoretical

    Run repeated probability experiments and compare experimental (relative frequency) results with theoretical predictions; understand and demonstrate that as the…

    Ages 10 to 11Method