Year 6: Fractions: Lesson 16 – Divide Fractions by Integers (2)
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Fractions
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Narrow it downby objective (74)
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- recognise, find and name a half as one of two equal parts of an object, shape or quantity39
- Mixed Maths38
- recognise, find and name a quarter as one of four equal parts of an object, shape or quantity38
- recognise, find, name and write fractions 1/3, 1/4, 2/4, 3/4 of a length, shape, set of objects or quantity33
- write simple fractions for example, 1/2 of 6 = 3 and recognise the equivalence of 1/2 and 2/429
- Add and subtract fractions with the same denominator28
- Recognise, find and write fractions of a discrete set of objects: unit fractions and non- unit fractions with small denominators26
- Compare and order unit fractions, and fractions with the same denominators24
- Recognise, find, name and write fractions 1/3 , 1/4 , 2/4 and 3/4 of a length, shape, set of objects or quantity24
- add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions23
- Use common factors to simplify fractions; use common multiples to express fractions in the same denomination23
- Compare and order fractions whose denominators are all multiples of the same number.22
- solve problems involving unequal sharing and grouping using knowledge of fractions and multiples21
- recall and use equivalences between simple fractions, decimals and percentages, including in different contexts20
- multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams18
- Recognise and write decimal equivalents of any number of tenths or hundredths18
- Add and subtract fractions with the same denominator and denominators that are multiples of the same number16
- solve problems involving number up to three decimal places16
- Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths.15
- Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison15
- recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators14
- compare and order fractions, including fractions >113
- Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths13
- Recognise and use fractions as numbers13
- Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents13
- Recognise and write decimal equivalents to 1/4, 1/2, 3/413
- Write simple fractions for example, 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/213
- divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context12
- Recognise and show, using diagrams, families of common equivalent fractions.12
- recognise, find, name and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects or quantity12
- Add and subtract fractions with the same denominator, within 111
- Compare and order fractions, including fractions > 111
- Compare numbers with the same number of decimal places up to two decimal places11
- Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.11
- Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 1011
- Read and write decimal numbers as fractions11
- SATs11
- write simple fractions for example, of 1//2 of 6 = 3 and recognise the equivalence of 1/2 and 2/411
- Maths Vocabulary10
- Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,00010
- multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, 1/4 × 1/2 = 1/8]10
- read, write, order and compare numbers with up to three decimal places10
- Divide proper fractions by whole numbers9
- Round decimals with one decimal place to the nearest whole number9
- round decimals with two decimal places to the nearest whole number and to one decimal place9
- add and subtract fractions with the same denominator, and denominators that are multiples of the same number8
- read and write decimal numbers as fractions [for example, 0.71 = 71/100 ]8
- recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5+4/5 = 6/5 = 1 1/5 ]8
- Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number8
- solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 258
- Add and subtract fractions with the same denominator within one whole7
- Recognise and write decimal equivalents to half, quarter and three quarters7
- round decimals with 2 decimal places to the nearest whole number and to 1 decimal place7
- Solve simple measure and money problems involving fractions and decimals to 2 decimal places7
- divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6]6
- Multiply simple pairs of proper fractions, writing the answer in its simplest form6
- Recognise and show, using diagrams, equivalent fractions with small denominators6
- Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ]6
- recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per 100’, and write percentages as a fraction with denominator 100, and as a decimal fraction6
- solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates6
- use written division methods in cases where the answer has up to two decimal places6
- Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8 ]5
- Compare fractions with different denominators, including fractions greater than 1, using reasoning, and choose between reasoning and common denomination as a comparison strategy5
- multiply one-digit numbers with up to two decimal places by whole numbers5
- read, write, order and compare numbers with up to 3 decimal places5
- solve problems involving number up to 3 decimal places5
- solve problems which require answers to be rounded to specified degrees of accuracy5
- recognise and write decimal equivalents of any number of tenths or hundreds4
- Recognise mixed numbers and improper fractions4
- identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places3
- multiply one-digit numbers with up to 2 decimal places by whole numbers3
- recall and use equivalences between simple fractions, decimals and percentages including in different contexts.3
- recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators3
- use written division methods in cases where the answer has up to 2 decimal places3
Same strand, other year groupsfor support and stretch
Year 6: Fractions: Lesson 15 – Divide Fractions by Integers
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Year 6: Fractions: Lesson 11 – Subtract Fractions
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