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Long Division word problems Higher
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.
Add and Subtract Fractions Higher
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.
Add and Subtract Fractions Foundation
Use this worksheet 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 worksheet is aimed at those working towards age expected.
This worksheet includes a challenge to help deepen children’s understanding and problem-solving skills.
Answer sheet attached.
Add and Subtract Fractions Core
Use this worksheet 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 worksheet is aimed at those working at age expected.
This worksheet includes a challenge to help deepen children’s understanding and problem-solving skills.
Answer sheet attached.
Bundle
Comparing and Ordering Fractions
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.
Comparing and Ordering Fractions Higher
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 foundation worksheet
Building on their knowledge of equivalent fractions, in this worksheet children compare fractions where the denominators are multiples of the other.
Diagrams will help children to see which is the larger fraction and they should continue to use fraction walls and bar models until they are confident with the general rules.
Answer sheet included.
Equivalent Fractions Higher worksheet
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
Equivalent Fractions Core worksheet
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
Equivalent Fractions Foundation worksheet
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
Comparing and Ordering Fractions Core worksheet
Use this worksheet to help children develop their 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.
Core worksheet with answer sheet.
Equivalent fractions - 3 differentiated worksheets
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
Area of rectilinear shapes Foundation
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 by counting squares Higher
Children find the areas of shapes that include half squares. Marking or noting which squares they have already counted supports children’s accuracy
when finding the area of complex shapes.
Using arrays relating to area can be explored, but children
are not expected to recognise the formula.
What can you do if the squares are not full squares?
Area of rectilinear shapes Core
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.
Multi-step addition and subtraction word problems Higher with extra reasoning sheet
In this worksheet, children apply the strategies they have learned so far to solve addition and subtraction problems with more than one step.
Children choose the operations needed at each step and then perform the calculations using an appropriate mental or written method.
Problems are presented in word form.
The use of bar models can help children to illustrate problems of this kind. While the models will not perform the calculation, they will help children to decide what operations are needed and why.
Ask,
What is the key information in the question?
What can you work out straight away? How does this help you to answer the question?
How can you represent this problem using a bar model?
Which bar will be longer? Why?
Do you need to add or subtract the numbers at this stage?
How do you know?
With extra reasoning activity.
Answer sheets included.
Multi-step addition and subtraction word problems Core extra reasoning sheet
In this worksheet, children apply the strategies they have learned so far to solve addition and subtraction problems with more than one step.
Children choose the operations needed at each step and then perform the calculations using an appropriate mental or written method.
Problems are presented in word form.
The use of bar models can help children to illustrate problems of this kind. While the models will not perform the calculation, they will help children to decide what operations are needed and why.
Ask,
What is the key information in the question?
What can you work out straight away? How does this help you to answer the question?
How can you represent this problem using a bar model?
Which bar will be longer? Why?
Do you need to add or subtract the numbers at this stage?
How do you know?
Round to check answers Core with extra reasoning sheet
In worksheet, children practise rounding in order to estimate
the answers to both additions and subtractions. They also review
mental strategies for estimating answers.
Children should be familiar with the word “approximate”, and “estimate” and
the degree of accuracy to which to round is a useful point for discussion. Generally, rounding to the nearest 100 for 3-digit numbers,
the nearest 1,000 for 4-digit numbers and so on is appropriate.
Extra reasoning sheet attached.
Answer sheet attached.
Multiply and divide by 6 with extra reasoning sheet. Core
In this worksheet, children build on their knowledge of the 3 times-table to explore the 6 times-table. Children work with the 6 times-table and use the multiplication facts they know to find unknown facts.
Children explore the fact that the 6 times-table is double the 3 times-table.
Extra reasoning activity attached.
Answer sheets attached.
Bundle
Multiples of 3
These are three differentiated worksheets.
Recall multiplication and division facts for multiplication tables up to 12 × 12.
Recognise and use factor pairs and commutativity in mental calculations.
Watch for:
Children may think that any number with 3 ones is a multiple of 3.
An early mistake when counting in 3s will affect all subsequent multiples.
Children may always begin counting from 3 to find a larger multiple of 3, when they could use the multiples they already know to find the new information.
In the higher ability worksheet ( with three faces), children explore how to recognise if a number is a multiple of 3 by finding its digit sum: if the sum of the digits of a number is a multiple of 3, then the number itself is also a multiple of 3.
Challenge by asking :
How do you find the digit sum of a number?
How can you tell if a number is a multiple of 3?
Are the multiples of 3 odd or even?
In the foundation worksheet (one face), children explore the link between counting in 3s and the
3 times-table to understand multiples of 3 in a range of contexts.
They use number tracks and hundred squares to represent multiples of 3.
Ask:
What is the next multiple of 3?
What is the multiple of 3 before?
How many 3s are there in?