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Mathematics // Fractions
Equivalent fractionsRecognise and show, using diagrams, equivalent fractions with small denominators
Ages 7 to 8ConceptMathematics // Fractions
Simple Fraction SumsAdd and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7)
Ages 7 to 8MethodMathematics // Fractions
Comparing fractionsCompare and order unit fractions, and fractions with the same denominator
Ages 7 to 8MethodMathematics // Fractions
Unit fractionsRecognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
Ages 7 to 8ConceptMathematics // Fractions
Comparing fractions (age 7+)Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison
Ages 7 to 8Thinking skillMathematics // Fractions
Fractions of a wholeUnderstand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
Ages 8 to 9ConceptMathematics // Fractions
Equivalent fractions on a number lineUnderstand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions…
Ages 8 to 9RepresentationMathematics // Fractions
Equivalent fractions (age 8+)Generate simple equivalent fractions and explain why they are equivalent using visual fraction models
Ages 8 to 9MethodMathematics // Fractions
Fractions on a number line (age 8+)Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b
Ages 8 to 9RepresentationMathematics // Fractions
Decimal equivalents of tenths and hundredthsRecognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27)
Ages 8 to 9ConceptMathematics // Fractions
Tenths (age 8+)Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 or dividing tenths by 10
Ages 8 to 9ConceptMathematics // Fractions
Decimal & Percent NotationRead, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol…
Ages 8 to 11LanguageMathematics // Fractions
Fraction-Decimal EquivalentsRecognise and write decimal equivalents of 1/4, 1/2, and 3/4
Ages 8 to 9ConceptMathematics // Fractions
Decimal place value (age 8+)Compare numbers with the same number of decimal places up to two decimal places
Ages 8 to 9MethodMathematics // Fractions
Dividing by 10 and 100Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits as ones, tenths, and hundredths
Ages 8 to 9MethodMathematics // Fractions
Adding Fractions (Same Denominator)Add and subtract fractions with the same denominator, including results greater than one whole (e.g. 5/8 + 6/8 = 11/8)
Ages 8 to 9MethodMathematics // Fractions
Comparing fractions (age 8+)Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
Ages 8 to 9MethodMathematics // Fractions
Fractions of a whole (age 8+)Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)
Ages 8 to 9ConceptMathematics // Fractions
Fractions of amounts (harder)Solve problems involving increasingly harder fractions to calculate quantities, including non-unit fractions where the answer is a whole number
Ages 8 to 9MethodMathematics // Fractions
Decimals and fractionsSolve simple measure and money problems involving fractions and decimals to two decimal places
Ages 8 to 9MethodMathematics // Fractions
Decimal place valueRound decimals with one decimal place to the nearest whole number
Ages 8 to 9MethodMathematics // Fractions
Fractions as parts of shapesPartition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole
Ages 8 to 9ConceptMathematics // Fractions
Equivalent fractions (age 9+)Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths…
Ages 9 to 10ConceptMathematics // Fractions
Decimals for Tenths & HundredthsUse decimal notation for fractions with denominators 10 or 100; read and write decimal numbers as fractions (e.g. 0.62 = 62/100, 0.71 = 71/100)
Ages 9 to 10Method