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

1. Scales on graphs and coordinate grids are the same as number lines.
2. Number lines model bridging through zero.

### 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.

### Keywords

• Difference - The result of subtracting one number from another.

• Coordinates - A set of values that show an exact position.

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 (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
Match the feature of the coordinate grid with the correct definition.
Correct Answer:x axis,the line on the coordinate grid that runs horizontally

the line on the coordinate grid that runs horizontally

Correct Answer:origin,where the X axis and Y axis cross, usually written as zero

where the X axis and Y axis cross, usually written as zero

Correct Answer:y axis,the line on the coordinate grid that runs vertically

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?
Correct Answer: 15, 15.0, fifteen, Fifteen, 15.
Q4.
What is the difference between −10 and −2?
Correct Answer: 8, 8.0, eight, 8., Eight
Q5.
The temperature in the morning is −3℃. It increases by 5℃. What is the new temperature?
Correct Answer: 2, two, 2.0, 2., Two
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.
Correct answer: There is a decrease in the temperature between Friday and Saturday.
There is a 6℃ difference between the highest and lowest temperatures.
Correct answer: There is a 5℃ difference between the highest and lowest temperatures.

## Exit quiz

### 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?
Correct Answer: 30, 30.0, 30., thirty, Thirty
Q2.
The temperature was −13℃ at night. Then it increased to 5℃ in the day. What was the change in temperature?
Correct Answer: 18, 18.0, 18., eighteen, Eighteen
Q3.
The air temperature outside the plane is −25℃. It is 45℃ warmer inside. What is the temperature inside the plane?
Correct Answer: 20, 20.0, 20., Twenty, twenty
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)