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Powers of 10
In this worksheet, children develop their understanding of place value by exploring the relationship between numbers in different columns. As well as adjacent columns, they look at columns that are further apart, for example considering the number of tens needed to make 2,000 and then multiples of 2,000. Children can use both place value charts and charts to support their understanding. Exchanging with place value counters as extra support is also helpful.
Ask,
“How can you tell if a number is a power of 10?”
“Is this number a multiple of a power of 10?” “How can you tell?”
Watch for:
Children may not realise that the overall effect of,
for example, × 10 followed by × 10 is × 100.
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Place Value Numbers to 100,000 Higher Ability
In this worksheet, children explore numbers up to 100,000. They are introduced to the ten-thousands column in a place value chart and begin to understand the multiples of 10,000. This can be reinforced using a number line to 100,000.
Both place value counters and plain counters are used in place value charts, allowing for discussion about the values of the columns.
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Place Value Numbers to 100,000 Foundation
In this worksheet, children explore numbers up to 100,000. They are introduced to the ten-thousands column in a place value chart and begin to understand the multiples of 10,000. This can be reinforced using a number line to 100,000.
Both place value counters and plain counters are used in place value charts, allowing for discussion about the values of the columns.
Watch for:
Children are likely to use “thousands” and “millions” in
everyday speech more often than “tens of thousands” or
“hundreds of thousands”, so they may miss out place value
columns in between.
Children may find numbers with several placeholders
difficult, for example 40,020
Children may need support in deciding when to use the
word “and” when saying numbers, for example 3,200 does
not use “and” but 3,020 does.
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Place Value Numbers to 100,000 Core
In this worksheet, children explore numbers up to 100,000. They are introduced to the ten-thousands column in a place value chart and begin to understand the multiples of 10,000. This can be reinforced using a number line to 100,000.
Both place value counters and plain counters are used in place value charts, allowing for discussion about the values of the columns.
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Place Value Numbers to 10,000 Foundation
Children encountered numbers up to 10,000 in Year 4. In this worksheet, they revise this learning in preparation for looking at numbers to 100,000 and then 1,000,000.
A variety of pictorial and concrete representations are used, including base 10, place value counters, place value charts and part-whole models.
The ability to use place value charts needs to be secure.
Ask,
“What is the value of each digit in the number?”
“Which digit or digits would change in value if you added 1 counter?”
“How do you write the number in words?”
Watch for:
Children may not yet have fully grasped placeholders, for example reading 602 as sixty-two.
Children may rely on the column method of addition and subtraction when this is not necessary.
Children may not use, or may misplace, the comma when writing numbers greater than or equal to 1,000.
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Higher Ability Year 5 Place Value Numbers to 100,000
Children be able to add and subtract 10, 100 and
1,000 to and from a given number, using their place value
knowledge rather than formal written methods.
Ask, “What is the value of each digit in the number?”
" How can you represent the number in a different way?"
“Which digit or digits would change in value if you added a 10/100/1,000 counter?”
“How do you write the number in words?”
Watch for :
Children may not yet have fully grasped placeholders, for
example reading 309 as thirty-nine.
Children may rely on the column method of addition and
subtraction when this is not necessary.
Children may not use, or may misplace, the comma when
writing numbers greater than or equal to 1,000.
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Year 5 Place Value Numbers to 10,000
Children be able to add and subtract 10, 100 and
1,000 to and from a given number, using their place value
knowledge rather than formal written methods.
Ask, “What is the value of each digit in the number?”
" How can you represent the number in a different way?"
“Which digit or digits would change in value if you added a 10/100/1,000 counter?”
“How do you write the number in words?”
Watch for :
Children may not yet have fully grasped placeholders, for
example reading 309 as thirty-nine.
Children may rely on the column method of addition and
subtraction when this is not necessary.
Children may not use, or may misplace, the comma when
writing numbers greater than or equal to 1,000.
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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.
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Year 5 Multiples
A multiple of a number is any number that is in its times-table.
A multiple is the result of multiplying a number by a positive integer. Children find sets of multiples of given numbers. Children understand and use rules of divisibility, which will be built upon in later learning.
Ask, “How do you find the multiples of a number?”
“What do you notice about the multiples of?”
“What is the same and what is different about them?”
“Can a number be a multiple of more than one number?”
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Year 5 Subtraction
Children subtract whole numbers with more than four digits, including using formal written methods (columnar subtraction).
They are challenged by applying their knowledge in solving world problems.
They are supported by place value counters and place value chart.
Squared paper and labelled columns will support children in placing the digits in the correct columns.
Children experience both questions and answers where zero appears in columns as a placeholder.
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Subtraction with more than 4-digit numbers higher
In this higher ability worksheet, children subtract whole numbers with more than four digits, including using formal written methods (columnar subtraction).
They are challenged by applying their knowledge in solving world problems.
Squared paper and labelled columns will support children in placing the digits in the correct columns.
Children experience both questions and answers where zero appears in columns as a placeholder.
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Year 4 Subtraction
Children subtract whole numbers including using formal written methods (columnar subtraction).
Place value chart and place value counters can be used for support. It is useful when performing calculations that require an exchange. Squared paper and labelled columns will support children in placing the digits in the correct columns.
Children experience both questions and answers where zero appears in columns as a placeholder.
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Decimals Reasoning
These are year 4 reasoning activities.
Decimals - divide whole number by 10
Tenths as decimals - Foundation, Core and Higher
Tenths on a place value chart - Foundation, Core and Higher.
Buying a bundle saves you 31%.
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Addition, Decimals Fractions Reasoning
These are reasoning activities with well differentiated tasks.
with answer sheets
Reasoning with addition - two worksheets
decimals up to two places - Foundation
Tenths as decimals - Foundation, Core and Higher.
Tenths on a place value chart - Foundation , Core and Higher
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Addition
In these worksheets, children revisit the use of the column method for addition and learn to apply this method to numbers with more than four digits.
As a support in this step the place value counters, and place value charts will be extremely helpful.
These representations are particularly useful when performing calculations that require an exchange.
Ask, “Will you need to make an exchange?”
“Which columns will be affected if you do need exchange?”
" How do you know?"
Watch for:
Children may not line up the numbers in the columns correctly.
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Order and Compare Fractions and extra reasoning sheets
In these well differentiated 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.
Compare fractions
Order fractions less than 1
Extra reasoning sheets attached
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.
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?
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Decimals reasoning
Includes:
Support mat
divide 1 digit number by 10
decimals as tenths - Foundation , core and higher
tenths on a place value chart - Foundation , core and higher
with extra 7 reasoning sheets
Model making, drawing and writing decimal numbers, showing that the decimal point is used to separate whole numbers from decimals.
Children look at a variety of representations of tenths as decimals, up to the value of 1 whole.
This leads to adding the tenths column to a place value chart for children to see how tenths fit with the rest of the number system and to understand the need for the decimal point.
Children may forget to include the decimal point.
If the number of tenths reaches 10, children may call this “zero point ten” and write 0.10 rather than exchanging for 1 one.
Children may confuse the words “tens” and “tenths”.
Questions to help with understaning the topic:
If a whole is divided into 10 equal parts, what is the value of each part?
How can you represent the decimal
How are decimals like fractions? using a model?
How can you convert between tenths as fractions and tenths as decimals?
How is 1/10 like 0.1? How is it different?
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Subtraction one exchange - Foundation, Core and Higher
These are differentiated worksheets for year 4 covering subtraction with one exchange
They are well differentiated, and answers are attached for easy check.
One exchange Foundation, Core , higher
Each sheet comes with well explained answers.
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Decimals support Mat Year 4
This is support mat featuring Decimals in Year 4.
Significant help for parents, children and teachers. Great for homework and homeschooling.
It can be used as a visual display in the classroom or on the desk.