New
New
Year 5
Solve problems involving positive and negative numbers in a range of contexts
I can solve problems involving positive and negative numbers in a range of contexts.
New
New
Year 5
Solve problems involving positive and negative numbers in a range of contexts
I can solve problems involving positive and negative numbers in a range of contexts.
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Lesson details
Key learning points
- Scales on graphs and coordinate grids are the same as number lines.
- Number lines model bridging through zero.
Keywords
Difference - The result of subtracting one number from another.
Coordinates - A set of values that show an exact position.
Common misconception
Pupils can come unstuck by misreading or misunderstanding the information being presented.
Encourage pupils to consider what information they do know, and plot this on an empty number line, to help work out the unknown information.
For some less fluent pupils, adding together pairs of 2-digit ‘distances’ from zero might prove difficult. They should not be given different or easier work, but rather given scaffolds such as hundred squares to support their calculations.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), 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.
Match the feature of the coordinate grid with the correct definition.
the line on the coordinate grid that runs horizontally
where the X axis and Y axis cross, usually written as zero
the line on the coordinate grid that runs vertically
Q2.
Tick all of the pairs of values that have a difference of 10.
−6 and 6
3 and −6
Q3.
What is the difference between −10 and 5?
Q4.
What is the difference between −10 and −2?
Q5.
The temperature in the morning is −3℃. It increases by 5℃. What is the new temperature? ℃
Q6.
This graph shows the changes in temperature over several days in ℃. Tick all the statements that are true.
The temperatures are always negative.
There is no change in the temperature between Sunday and Monday.
There is a 6℃ difference between the highest and lowest temperatures.
Exit quiz
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6 Questions
Q1.
The temperature inside the cabin is 18℃. The temperature outside the cabin is −12℃. What is the difference between the inside and outside temperatures? ℃
Q2.
The temperature was −13℃ at night. Then it increased to 5℃ in the day. What was the change in temperature? ℃
Q3.
The air temperature outside the plane is −25℃. It is 45℃ warmer inside. What is the temperature inside the plane? ℃
Q4.
It is 40℃ warmer inside the plane than outside. What could the inside and outside temperatures be?
10℃ and −10℃
18℃ and −23℃
Q5.
The vertices of a square have coordinates (3,3), (−3,3), (−3,−3) and (3,−3). Which of the coordinates below would appear outside the square?
(−1,−2)
(−3,2)
Q6.
A pair of coordinates have values of (3,2) and (3,−5). Imagine they are joined to make a line, which is extended beyond the coordinates. Tick all of the coordinates that would appear on the line.
(−5, 2)
(7,3)
Additional material
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