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Mathematics // Fractions

Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 or dividing tenths by 10

Mathematics // Fractions

Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol…

Mathematics // Fractions

Recognise and write decimal equivalents of 1/4, 1/2, and 3/4

Mathematics // Fractions

Compare numbers with the same number of decimal places up to two decimal places

Mathematics // Fractions

Find 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

Mathematics // Fractions

Add and subtract fractions with the same denominator, including results greater than one whole (e.g. 5/8 + 6/8 = 11/8)

Mathematics // Fractions

Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols

Mathematics // Fractions

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)

Mathematics // Fractions

Solve problems involving increasingly harder fractions to calculate quantities, including non-unit fractions where the answer is a whole number

Mathematics // Fractions

Solve simple measure and money problems involving fractions and decimals to two decimal places

Mathematics // Fractions

Round decimals with one decimal place to the nearest whole number

Mathematics // Fractions

Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole

Mathematics // Fractions

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…

Mathematics // Fractions

Use 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)

Mathematics // Fractions

Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and use this to add fractions with denominators 10 and 100 (e.g. 3/10 +…

Mathematics // Fractions

Recognise and use thousandths; relate them to tenths, hundredths, and their decimal equivalents (e.g. 1/1000 = 0.001, 35/1000 = 0.035)

Mathematics // Fractions

Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)

Mathematics // Fractions

Compare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, <

Mathematics // Fractions

Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5)

Mathematics // Fractions

Solve problems requiring knowledge of percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and fractions with denominators that are multiples of 10 or…

Mathematics // Fractions

Understand the per cent symbol (%); know that per cent means ‘number of parts per hundred’; write percentages as a fraction with denominator 100 and as a…

Mathematics // Fractions

Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator

Mathematics // Fractions

Compare and order fractions with different numerators and denominators by creating common denominators/numerators or comparing to a benchmark such as 1/2…

Mathematics // Fractions

Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more…