New
New
Year 6
Use knowledge of the composition of seven-digit numbers to solve problems
I can use knowledge of the composition of seven-digit numbers to solve problems.
New
New
Year 6
Use knowledge of the composition of seven-digit numbers to solve problems
I can use knowledge of the composition of seven-digit numbers to solve problems.
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Lesson details
Key learning points
- The digits in a number indicate its structure so it can be decomposed.
- Numbers can be decomposed, or partitioned, according to the value of their digits.
- Missing parts can be determined by comparison of known parts to the whole.
Keywords
Partition - When we partition a value or object, we split it into smaller parts.
Common misconception
A child may give the incorrect value for a digit or struggle to see how to partition larger numbers in a non-standard way.
Use a place value chart or counters to prove the value of the digit and use a Gattegno chart to support partitioning.
Children should use place value charts and Gattegno charts to support their learning. They need to be familiarised with recombining when counters are grouped or in a random arrangement. Give children the chance to play 'Zap the digit' in pairs.
Teacher tip
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
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6 Questions
Q1.
Complete this equation to show partitioning of 5,603
5,603 = 5,000 + + 3
Q2.
Complete this equation to show partitioning of 12,928
12,928 = 12,000 + + 8
Q3.
In the number 1,503,924 the value of the digit five is __________.
five thousand
fifty thousand
five million
Q4.
In the number 1,503,924 the value of the digit three is __________.
three hundred
thirty thousand
three hundred thousand
three million
Q5.
In which of these numbers is the digit ‘6’ worth 60 thousand?
5,076,321
6,075,321
5,675,321
5,073,621
Q6.
What number is represented in this part of a Gattegno chart? Write your answer as a numeral.
Exit quiz
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6 Questions
Q1.
Complete the equation to show partitioning. 2,190,513 = 2,000,000 + 100,000 + + 500 + 10 + 3
Q2.
Complete the equation to show partitioning. 5,901,142 = 5,000,000 + + 1,000 + 100 + 40 + 2
Q3.
Complete the equation to show partitioning. 469,231 = + 200 + 31 + 1
Q4.
Complete the equation to show partitioning. 2,031,450 = 2,000,000 + + 400 + 51
Q5.
Complete this subtraction equation to ‘zap’ the digit 2 from the number 1,324,003 Remember this means subtract the value of the 2 in the number.
1,324,003 - = 1,304,003
20
200
2,000
200,000
Q6.
Complete this subtraction equation to ‘zap’ the digits ‘94’ from the number 9,450,603 Remember this means subtract the value of the 94 in the number.
9,450,603 - = 50,603
94
940
9,400
940,000