lesson

Cross zero in two parts

1 · Learn

Negative values lie below zero. On a number line increasing to the right, -3 is greater than -8. The size of the digit alone does not order negative numbers.

For a distance across zero, count up to zero and then onwards. A temperature change has direction as well as size; a rise of 9 degrees is different from a final temperature of 9 degrees.

-8 < -3 < 0Lower valueZeroHigher value
Key words and supplied examples.

2 · Worked example

From -5°C to 7°C is a rise of 5 + 7 = 12°C. The final temperature is 7°C, not 12°C.

3 · Your turn

Find the rise from -9°C to 4°C. Then find the temperature after 4°C falls by 7°C.

Check your answer

A rise of 13°C; the later temperature is -3°C.

4 · Apply your learning

Draw both journeys on a labelled number line and distinguish a position from an interval.

Adult guidance and safety

Ask the learner to explain the method and check it using a different representation. Supply place-value grids, fraction strips, accurate diagrams and measuring tools where needed. These examples need varied practice; a short correct answer alone does not establish fluency.

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Check a calculation · Year 5 onward

Use this only when your teacher or adult allows a calculator for the task. Show your thinking first. It does not replace mental or written arithmetic and does not mark your lesson answer.

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