Here are two winter temperatures from the same cold night: −8 °C and −3 °C.
First question: which one is colder? Hands up when you have decided.
Now the tricky one: which one is the bigger number? These two questions might not give you the same answer, and that is exactly what we are going to sort out. Be ready to say how you know.
The interactive shows three pairs of numbers on a number line from −10 to 10. Watch where each one sits, left or right. Further left means smaller.
Today we work these pairs of integers together, one at a time, on the board. An integer is just a whole number that can be positive or negative, with zero in the middle. For each pair, one pupil places both numbers on the line at the board; then the whole class decides which sign goes between them, < or >, and we write it up. If you are not the pupil at the board, your job is to watch the line and be ready to call the sign — that is how everyone takes part.
Watch the line and be ready to call the sign — that is how everyone takes part.
We will start with −4 and 1 (a negative against a positive), then −9 and −2 (two negatives, wide apart), then 0 and −5 (zero against a negative), and finally −7 and −6 — two negatives sitting right beside each other, where you have to look carefully at which is that little bit further left.
In your maths copy, write each pair of integers below and place the correct < or > sign between them. Then, underneath, order one full set of five integers from smallest to biggest.
Before you start the five-number set, we will do one together on the board so everyone sees the method. Watch this set: −4, 2, −1, 0, −6. We place each one on the number line in our heads (or sketch a quick line), then read strictly from furthest left to furthest right. Furthest left is smallest, so the order is −6, −4, −1, 0, 2. That is the full method: line them up left to right, then write them in that order.
Between placements, read a small set aloud in order from smallest to biggest as a class before you press Check. The Check button only confirms where a marker sits, not the spoken ordering.
Now we place a series of integers on the −10 to 10 line, one at a time, and press Check on each placement. Between placements, the class orders a small named set aloud from smallest to biggest.
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