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Multiples and Common Multiples Year 5 Higher
Children identify multiples including finding all multiples of the number, and common multiples of set of numbers.
They solve problems involving multiplication including using their knowledge of multiples.
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.
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.
Subtraction with one exchange core
Children subtract up to 4-digit numbers, with one exchange. They complete the formal written method alongside any visual resources to support understanding. Before subtracting each column, ask,
Do you have enough ones/tens/hundreds to subtract ____ ?
If not, then an exchange is needed.
The exchange could take place from the tens, hundreds or thousands, but there is only one exchange per calculation
Subtraction with two exchanges foundation
Children use place value chart to solve calculations that involve up to two exchanges. They have support of pace value chart and numbers written down under each value column. They then solve word problem with support of calculations already written down for them.
As an extension, they find the missing number in the bar model and use formal method to solve this calculation with the greater number written for them already.
Subtraction 4-digit numbers with two exchanges core
These are subtraction worksheets targeted at Year 4. There are 3 well differentiated worksheets and 3 reasoning activities with answers included.
The first worksheet includes place value counters and base ten to help with subtraction, and reminders to exchange.
The second worksheet includes place value, base ten tables and some word problems with subtractions.
The third worksheet includes word problems to solve subtractions with 4-digit numbers.
The reasoning activities include missing digits or numbers.
Subtraction with one exchange fundation
Children use a place value chart and place value counters to answer the questions. They exchange the counters when needed. They then solve the calculations already written in the formal method.
Subtraction with two exchanges higher with extra reasoning sheet
Children solve subtraction calculation involving up to two exchanges. They correct the mistake and explain why the mistake was made. They solve two step word problem and find the missing number in the calculations , involving finding the possible greater number and explain how they solve this calculation.
Extra reasoning activity attached
Year 5 Compare fractions Core with extra reasoning sheet
Children compare fractions where the denominators are the same or where one denominator is a multiple of the other.
They also compare fractions
with the same numerator or by comparing it to one half.
with answer sheets.
Extra reasoning activity sheet
Year 5 Compare fraction less than 1 foundation with extra reasoning sheet
Children compare fractions where the denominator or numerators are the same. The examples and bar models support them. They find the equivalent fractions by using bar models.
Extra reasoning sheet attached.
Year 5 Compare Fractions less than 1 Higher with extra reasoning sheet
Compare and order fractions whose denominators are all multiples of the same number.
Identify and write equivalent fractions of a given fraction.
Children compare fractions and explain how they know if the fraction is smaller or greater. They are challenged by word problems and working out the greater fractions within the word problem. They correct mistakes made by another child. They use number line comparing the position of the fraction to 0 and 1 or one half.
Extra reasoning sheet attached
Subtraction 4-digit numbers with one exchange
There are three differentiated worksheets with answers plus three differentiated reasoning worksheets.
They practice subtraction of two 4-digit numbers with one exchange in any column.
Working towards: children supported by visual clues and word bank.
Working above: children are challenged by word problems, missing numbers and reasoning problems.
Subtraction with one exchange higher
Children work out subtraction word problems and correct the mistake and explain the exchange and possible misconceptions.
Subtraction with two exchanges Core
Children subtract up to 4-digit numbers with more than one exchange, using the written method of column subtraction.They solve subtractions involving two separate exchanges (for example, from the thousands and from the tens) as well as those with two-part exchanges (for example, from the thousands down to the tens if there are no hundreds in the first number).
Subtraction with two exchanges Higher with extra reasoning sheet
In this higher ability worksheets, children subtract up to 4-digit numbers with more than one exchange, using the written method of column subtraction.
With extra reasoning sheet
with answer sheets
They perform subtractions involving two separate exchanges (for example, from the thousands and from the tens) as well as those with two-part exchanges (for example, from the thousands down to the tens if there are no hundreds in the first number). Remember, when completing the written method, it is vital that children are careful with where they put the digits, especially those that have been exchanged. Two-part exchanges can be confusing for children if they are unsure what each digit represents or where to put it.
Watch for not lining up the digits in the place value columns correctly. When exchanging a number, they may put the ones in the incorrect place. When exchanging over two columns, children may exchange directly from, for example, hundreds down to ones and miss out the exchange to tens.
Some high-level questioning will challenge high achieving students.
Does it matter which column you subtract first?
How can you subtract two numbers if one of them has fewer digits than the other?
If you cannot exchange from the tens/hundreds, what do you need to do?
Which column can you exchange from?
Subtraction with two exchanges Core with extra reasoning sheet
In these worksheets, children subtract up to 4-digit numbers with more than one exchange, using the written method of column subtraction. Children perform subtractions involving two separate exchanges
With extra reasoning sheet
with answer sheets
(for example, from the thousands and from the tens) as well as those with two-part exchanges
(for example, from the thousands down to the tens if there are no hundreds in the first number). To support
understanding, solve these subtractions alongside the concrete resources of base 10 and place value
counters. When completing the written method, it is vital that children are careful with where they put the digits, especially those that have been exchanged. Remember, two-part exchanges can be confusing for children if they are unsure what each digit represents or where to put it.
You can support the children with some questioning alongside their work, for example,
Do you need to make an exchange?
How can you subtract two numbers if one of them has fewer digits than the other?
If you cannot exchange from the tens/hundreds, what do you need to do?
Which column can you exchange from?
Subtraction with two exchanges foundation with extra reasoning sheet
In these worksheets, children subtract up to 4-digit numbers with more than one exchange, using the written method of column subtraction. They perform subtractions involving two separate exchanges
(for example, from the thousands and from the tens) To support
understanding, solve these subtractions alongside the concrete resources of base 10 and place value counters.
With extra reasoning sheet.
With answer sheets
Core worksheet Year 5 Order fractions with extra reasoning sheet
Children use their knowledge of comparing fractions and order a set of three or more fractions.
If equivalent fractions are needed, then one denominator will be a multiple of the other(s) so that conversions will not be complicated. C
Bar models, fraction walls and number lines could be used to help children to see the relative sizes of the fractions, especially when conversions are needed.
Children can consider the position of a fraction relative to 0, 1/2 or 1 whole.
With extra reasoning sheet.
You can support your child with set of questions:
If a set of fractions all have the same denominator, how can you tell which is greatest?
If a set of fractions all have the same numerator, how can you tell which is greatest?
How can you use equivalent fractions to help?
What are all the denominators/numerators multiples of?
How can this help you find equivalent fractions?
Which of the fractions are greater than 1/2?
At first, children may need support to decide the best strategy when there are more than two fractions. Children may not look at both parts of the fractions when making their decisions about the order.
You might use these support sentences:
When fractions have the same denominator, one with the_____ numerator is the greatest fraction.
When fractions have the same numerator, the one with the ______ denominator is the greatest fraction.
Foundation worksheet Year 5 Order fractions with extra reasoning sheet
In these foundation worksheets, children order a set of two or more fractions. If equivalent fractions are needed, then one denominator will be a multiple of the other(s) so that conversions will not be complicated.
Bar models, fraction walls and number lines are used to help children to see the relative sizes of the fractions, especially when conversions are needed. Children should look at the set of numerators especially when the denominators are the same.
At first, children may need support to decide the best strategy when there are more than two fractions. Children may not look at both parts of the fractions when making their decisions about the order.
Useful supporting sentences for parents.
When fractions have the same denominator, the one with the_____ numerator is the greatest fraction.
When fractions have the same numerator, the one with the ______ denominator is the greatest fraction.
With extra reasoning sheet.
Key questions for parents:
If a set of fractions all have the same denominator, how can you tell which is greatest?
If a set of fractions all have the same numerator, how can you tell which is greatest?
Higher ability worksheet Year 5 Order fractions with extra reasoning sheet
With extra reasoning activity sheet.
Children use their knowledge of comparing fractions and order a set of three or more fractions.
If equivalent fractions are needed, then one denominator will be a multiple of the other(s) so that conversions will not be complicated. C
Bar models, fraction walls and number lines could be used to help children to see the relative sizes of the fractions, especially when conversions are needed.
Children can consider the position of a fraction relative to 0, 1/2 or 1 whole.
You can challenge your child with set of questions:
If a set of fractions all have the same denominator, how can you tell which is greatest?
If a set of fractions all have the same numerator, how can you tell which is greatest?
How can you use equivalent fractions to help?
What are all the denominators/numerators multiples of?
How can this help you find equivalent fractions?
Which of the fractions are greater than 1/2?