Solve problems involving positive and negative numbers in a range of contexts

Maths

In this unit pupils will  interpret numbers greater than and less than zero. They will read and write negative numbers explain, how the value of a number relates to its position from zero positioning on a number line. In the future unit pupils will estimate the value and position of numbers including negative numbers on unmarked or partially marked number lines and calculate intervals across zero.

In the prior unit pupils compared and ordered 4-digit numbers They learned to round and rounded 4-digit numbers to the nearest 1000, 100 and 10, counted backwards through 0. In this unit pupils will interpret numbers greater than and less than zero. They will read and write negative numbers, explain how the value of a number relates to its position from zero, positioning on a number line.

Negative numbers

The temperature inside the cabin is 18℃. The temperature outside the cabin is −12℃. What is the difference between the inside and outside temperatures? {{  }}℃

The temperature was −13℃ at night. Then it increased to 5℃ in the day. What was the change in temperature? {{  }}℃

The air temperature outside the plane is −25℃. It is 45℃ warmer inside. What is the temperature inside the plane? {{  }}℃

It is 40℃ warmer inside the plane than outside. What could the inside and outside temperatures be?

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? 

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.

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

Match the feature of the coordinate grid with the correct definition.

Tick all of the pairs of values that have a difference of 10. 

What is the difference between −10 and 5? 

What is the difference between −10 and −2?

The temperature in the morning is −3℃. It increases by 5℃. What is the new temperature? {{  }}℃

There is no change in the temperature between Sunday and Monday.

There is a decrease in the temperature between Friday and Saturday. 

There is a 6℃ difference between the highest and lowest temperatures.

There is a 5℃ difference between the highest and lowest temperatures.

This graph shows the changes in temperature over several days in ℃. Tick all the statements that are true. 

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