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Equivalent fractions - 3 differentiated worksheets
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Equivalent fractions - 3 differentiated worksheets

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In these three worksheets, children develop their understanding of equivalent fractions within 1, mainly through exploring bar models. Children begin by finding equivalent fractions by splitting up models into smaller parts in a range of different ways. The key learning point is that as long as each of the existing parts are split equally into the same number of smaller parts, then the fractions will be equivalent. A common misconception is that children believe they can only split up existing parts into two equal sections, which limits the number of equivalent fractions that they will find. Children begin to use fraction walls to help create equivalent fraction families. Includes: Foundation worksheet - with answer sheet Core worksheet - with answer sheet Higher worksheet - with answer sheet
Equivalent Fractions Core worksheet
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Equivalent Fractions Core worksheet

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In this worksheet, children develop their understanding of equivalent fractions within 1, mainly through exploring bar models. Children begin by finding equivalent fractions by splitting up models into smaller parts in a range of different ways. The key learning point is that as long as each of the existing parts are split equally into the same number of smaller parts, then the fractions will be equivalent. A common misconception is that children believe they can only split up existing parts into two equal sections, which limits the number of equivalent fractions that they will find. Children begin to use fraction walls to help create equivalent fraction families. Includes: Core worksheet - with answer sheet
Add and Subtract Fractions Higher
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Add and Subtract Fractions Higher

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Use this worksheet to stretch children’s understanding of adding and subtracting fractions with the same denominator, and denominators that are multiples of the same number. This worksheet is aimed at those working at greater depth. Children add and subtract fractions and give the answer in a simplified form. Answer sheet attached.
Comparing and Ordering Fractions Higher
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Comparing and Ordering Fractions Higher

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Use this worksheet to stretch children’s understanding of comparing and ordering fractions with denominators that are multiples. If equivalent fractions are needed, then one denominator will be a multiple of the other or others. This worksheet includes a challenge to help deepen children’s understanding and problem-solving skills. Bar models, fraction walls and number lines will still be useful to help children to see the relative sizes of the fractions, especially when conversions are needed. Children should look at the set of fractions as a whole before deciding their approach, as comparing numerators could still be a better strategy for some sets of fractions. Answer sheet included.
Comparing and Ordering Fractions
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Comparing and Ordering Fractions

3 Resources
In these three worksheets, children build on their knowledge of ordering a set of three or more fractions. If equivalent fractions are needed, then one denominator will be a multiple of the other or others. Bar models, fraction walls and number lines will still be useful to help children to see the relative sizes of the fractions, especially when conversions are needed. Children should look at the set of fractions as a whole before deciding their approach, as comparing numerators could still be a better strategy for some sets of fractions.
Long Division word problems Higher
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Long Division word problems Higher

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Use this worksheet to stretch children’s understanding of long division. This worksheet is aimed at those working at greater depth. Children divide 4-digit numbers by 2-digit numbers. They are challenged by word problems and sometimes extra unnecessary information. Answer sheet attached.
Equivalent Fractions Foundation worksheet
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Equivalent Fractions Foundation worksheet

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In this worksheet, children develop their understanding of equivalent fractions within 1, mainly through exploring bar models. Children begin by finding equivalent fractions by splitting up models into smaller parts in a range of different ways. The key learning point is that as long as each of the existing parts are split equally into the same number of smaller parts, then the fractions will be equivalent. A common misconception is that children believe they can only split up existing parts into two equal sections, which limits the number of equivalent fractions that they will find. Children begin to use fraction walls to help create equivalent fraction families. Includes: Foundation worksheet - with answer sheet
Equivalent Fractions Higher worksheet
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Equivalent Fractions Higher worksheet

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In this worksheet, children stretch their understanding of equivalent fractions within 1, mainly through word problems. Children begin by finding equivalent fractions by splitting up models into smaller parts in a range of different ways. The key learning point is that as long as each of the existing parts are split equally into the same number of smaller parts, then the fractions will be equivalent. A common misconception is that children believe they can only split up existing parts into two equal sections, which limits the number of equivalent fractions that they will find. Children begin to use fraction walls to help create equivalent fraction families. Includes: Higher worksheet - with answer sheet
Area of rectilinear shapes Foundation
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Area of rectilinear shapes Foundation

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Use this worksheet to help children understand an area by counting the squares. The worksheet is aimed at those working towards the target. In this worksheet, children use the strategy of counting the number of squares inside a shape to find its area. Ask, What can you do to make sure you do not count a square twice? How can you make sure you do not miss a square? Does your knowledge of times-tables help you to find the area? Can you use arrays to find the area of any shape? Includes answer sheet.
Area of rectilinear shapes Core
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Area of rectilinear shapes Core

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Use this worksheet to help children develop their understanding of an area by counting the squares. The worksheet is aimed at those working at age expected. In this worksheet, children use the strategy of counting the number of squares inside a shape to find its area. Ask, What can you do to make sure you do not count a square twice? How can you make sure you do not miss a square? Does your knowledge of times-tables help you to find the area? Can you use arrays to find the area of any shape? Includes answer sheet.
Lond Division with Remainders
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Lond Division with Remainders

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This sheet is aimed at those working at age expected. Children practice long division with reminders. They are challenged with a division word problem. Answer sheets attached.
Improper fraction to Mixed Numbers differentiated worksheets
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Improper fraction to Mixed Numbers differentiated worksheets

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The first worksheet is aimed at those working towards age expected. Children add fractions and convert the improper fractions to mixed numbers. Pictorial representations support their work. The second worksheet is aimed at those working at age expected. Children add fractions greater than 1 . They convert the improper fractions to mixed numbers. Includes some pictorial representations. The third worksheet is aimed at those working at greater depth. Children add fractions greater than 1 to a mixed number where the denominators are not direct multiples of each other and record the answers in their simplest form. They convert the improper fractions to mixed numbers. Answer sheets attached.
Add and Subtract Fractions
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Add and Subtract Fractions

3 Resources
Use these worksheets to help children develop their understanding of adding and subtracting fractions with the same denominator, and denominators that are multiples of the same number. The first worksheet is aimed at those working below age expected. The second worksheet is aimed at those working at age expected. The third worksheet is aimed at those working at greater depth. This worksheet includes a challenge to help deepen children’s understanding and problem-solving skills. Answer sheets attached.
Lond Division with Remainders
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Lond Division with Remainders

2 Resources
There are two worksheets featuring long division pf 4-digit numbers by 2-digit numbers. The first worksheet is aimed at those working age expected. The second worksheet is aimed at those working at greater depth.