M3.1.2 For the adult

Calculating with negative numbers

It is −3 °C at night and 5 °C at noon. How many degrees did it rise?

What this chapter teaches

Adding and taking away are hops on a number line. Two numbers with the same sign multiply to a positive number, and with different signs to a negative one. A pattern that carries on past zero shows why.

Three questions to ask

There is no one right wording. Listen for the idea.

  1. How far is it from −3 °C up to 5 °C?
  2. How can you show −4 + 7 as hops on a number line?
  3. Why is −3 × −4 equal to 12 and not −12?

After the chapter, the learner can

  • Find the rise in temperature from −3 °C to 5 °C
  • Work out −4 + 7 and 2 − 6 on a number line
  • Multiply and divide with negatives, like −3 × −4

What they copy into their notebook

Hop right to add a positive number and left to take one away. Adding a negative moves you left. Same signs multiply to a positive answer. Different signs give a negative answer. Dividing follows the same rule.

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