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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Divide proper fractions by whole numbers
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Divide Proper Fractions by Whole Numbers
Included with membership
Divide Proper Fractions by Whole Numbers
Included with membership
Divide Proper Fractions by Whole Numbers
Included with membership
Divide Proper Fractions by Whole Numbers
Included with membership
Divide Proper Fractions by Whole Numbers
Included with membership
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