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Mathematics // Multiplication & Division
Sign Rules for MultiplicationMultiply and divide with positive and negative integers and rational numbers, understanding the rules for the sign of the product or quotient
Ages 11 to 13MethodMathematics // Number Representation & Place Value
Reading and writing numbers (age 9+)Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding
Ages 9 to 10MethodMathematics // Number Representation & Place Value
Rounding Large NumbersRound any whole number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000, or 100,000 using place-value understanding
Ages 9 to 10MethodMathematics // Number Representation & Place Value
Working with Large NumbersSolve number and practical problems involving reading, writing, ordering, comparing, and rounding whole numbers up to 1,000,000
Ages 9 to 10MethodMathematics // Number Representation & Place Value
Counting forwards and backwards (age 9+)Count forwards and backwards in steps of powers of 10 (10, 100, 1000, 10,000, 100,000) for any given number up to 1,000,000
Ages 9 to 10MethodMathematics // 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 11MethodMathematics // Number Representation & Place Value
Numbers to Ten MillionSolve number and practical problems involving reading, writing, ordering, comparing, rounding, and negative numbers up to 10,000,000
Ages 10 to 11MethodMathematics // Number Representation & Place Value
Reading and writing numbers to 10,000,000Read, write, order, and compare numbers up to 10,000,000 and determine the value of each digit
Ages 10 to 11MethodMathematics // Number Representation & Place Value
Decimal place valueRound decimals to any place using place-value understanding; round any whole number to a required degree of accuracy
Ages 10 to 11MethodMathematics // Number Representation & Place Value
Measuring temperatureUse negative numbers in context (temperature, finance, sea level); calculate intervals across zero
Ages 10 to 11MethodMathematics // 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 13MethodMathematics // Number Representation & Place Value
Square and cube numbersUse 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 14MethodMathematics // Probability
Simple Chance ExperimentsConduct simple probability experiments — flipping a coin, rolling a die, pulling coloured counters from a bag — record results, and compare experimental…
Ages 9 to 10MethodMathematics // Probability
Calculating Simple ProbabilityCalculate the probability of a simple event with equally likely outcomes using the formula: probability = number of favourable outcomes ÷ total number of…
Ages 10 to 11MethodMathematics // Probability
Experimental vs TheoreticalRun repeated probability experiments and compare experimental (relative frequency) results with theoretical predictions; understand and demonstrate that as the…
Ages 10 to 11MethodMathematics // Probability
Experimental probabilityRecord, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of…
Ages 11 to 13MethodMathematics // Ratio & Proportion
Calculating PercentagesSolve problems involving the calculation of percentages of amounts (e.g. 15% of 360) and the use of percentages for comparison
Ages 10 to 11MethodMathematics // Ratio & Proportion
Scale and similar shapesSolve problems involving similar shapes where the scale factor is known or can be found
Ages 10 to 11MethodMathematics // Ratio & Proportion
Ratio ProblemsSolve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
Ages 10 to 11MethodMathematics // Ratio & Proportion
Understanding fractionsSolve problems involving unequal sharing and grouping using knowledge of fractions and multiples
Ages 10 to 11MethodMathematics // Ratio & Proportion
Compound UnitsUse compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units
Ages 11 to 14MethodMathematics // 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 13MethodMathematics // Ratio & Proportion
Unit ConversionsConvert 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 12MethodMathematics // Ratio & Proportion
Ratio NotationUse 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