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  • 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

    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

    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

    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 // 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

    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

    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
  • Mathematics // Probability

    Experimental probability

    Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of…

    Ages 11 to 13Method
  • Mathematics // Probability

    Tree diagrams

    Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the…

    Ages 12 to 14Method
  • Mathematics // Probability

    Sets & Venn Diagrams

    Enumerate sets and their unions and intersections systematically using tables, grids, and Venn diagrams to organise and count outcomes

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

    Calculating Percentages

    Solve problems involving the calculation of percentages of amounts (e.g. 15% of 360) and the use of percentages for comparison

    Ages 10 to 11Method
  • Mathematics // Ratio & Proportion

    Scale and similar shapes

    Solve problems involving similar shapes where the scale factor is known or can be found

    Ages 10 to 11Method
  • Mathematics // Ratio & Proportion

    Ratio Problems

    Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

    Ages 10 to 11Method
  • Mathematics // Ratio & Proportion

    Understanding fractions

    Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

    Ages 10 to 11Method
  • Mathematics // Ratio & Proportion

    Compound Units

    Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units

    Ages 11 to 14Method
  • Mathematics // Ratio & Proportion

    Scale and similar shapes (age 11+)

    Use scale factors to interpret and create scale diagrams and maps, calculating real-life distances from map measurements and vice versa

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

    Unit Conversions

    Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places…

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

    Ratio Notation

    Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction…

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

    Dividing Quantities by Ratio

    Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole

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

    Percentages (age 12+)

    Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest

    Ages 12 to 14Method
  • English // Grammar & Punctuation

    Spaces Between Words

    Separate words with spaces in writing; understand that spaces mark word boundaries in print

    Ages 4 to 6Method