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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…

Mathematics // Fractions

Solve problems involving numbers with up to three decimal places

Mathematics // Fractions

Recognise mixed numbers and improper fractions; convert from one form to the other (e.g. 2/5 + 4/5 = 6/5 = 1 1/5)

Mathematics // Fractions

Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations

Mathematics // Fractions

Solve word problems involving addition and subtraction of fractions with like denominators, using visual models and equations

Mathematics // Fractions

Round decimals with two decimal places to the nearest whole number and to one decimal place

Mathematics // Fractions

Solve word problems involving multiplication of a fraction by a whole number using visual models and equations

Mathematics // Fractions

Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between…

Mathematics // Fractions

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to…

Mathematics // Fractions

Use common factors to simplify fractions to their simplest form; use common multiples to express fractions with a common denominator

Mathematics // Fractions

Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between…

Mathematics // Fractions

Find the area of a rectangle with fractional side lengths by tiling with unit-fraction squares; show that the area equals the product of the side lengths

Mathematics // Fractions

Solve real-world problems involving division of unit fractions by whole numbers and whole numbers by unit fractions, using visual models and equations

Mathematics // Fractions

Interpret multiplication as scaling (resizing): compare the size of a product to a factor based on the size of the other factor without computing; explain the…

Mathematics // Fractions

Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and…