Mathematics
Beginner
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Ordering a Set of Numbers

Order sets of four-digit numbers from smallest to largest using repeated comparison, then reverse the ordering from biggest to smallest.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere are five hurling match crowds from last summer, all jumbled up on the board: 1,200, then 980, then 1,020, then 875, then 1,105.

    If you had to line them up from the smallest crowd to the biggest, where would you start? Which one jumps out at you as the smallest of all?

    2 - Watch and Notice ~9 mins

    Each set of numbers is shown already sorted from smallest to biggest. Watch which column decides the order, start at the thousands and only move right when they tie.

    3 - Try It Together ~9 mins

    Now we order some sets together on the board, one at a time. We work through three sets in turn: first {720, 1,050, 950}, then {5,600, 5,060, 5,006}, then {4,180, 4,081, 4,810, 4,018}. Each set is a little trickier than the last — the last one has four numbers whose digits shuffle around, so we read right to the units before we decide.

    Each time, a different pupil comes to the board and drags the smallest number that is left, then the next smallest, until the whole set is lined up from least to greatest. The rest of us say aloud which column decided each choice.

    Order the set: least to greatest

    4 - Order Them in Your Copy ~3 mins

    COPYBOOK MOMENT

    First we will reverse an ordered set together on the board so you can see the move. Here is a set already lined up from smallest to biggest: 875, 980, 1,020, 1,105, 1,200. To go from biggest to smallest, we do not re-sort from scratch. We flip the line: start at the right-hand end and write the same numbers the other way round.

    Now, in your maths copy, write this set of five numbers in order from smallest to biggest:

    • 1,406
    • 980
    • 1,046
    • 1,460
    • 1,064

    Then, underneath, rewrite the very same set the other way round, from biggest to smallest, just as we flipped the board example.

    5 - Class Challenge ~8 mins

    Time for the challenge sets. We work through these in order, each a step harder: {850, 1,005, 990}, then {3,400, 3,040, 3,004}, then {7,210, 7,021, 7,201, 7,012}, and finally {9,090, 9,009, 9,900, 9,000}. That last one is the one that catches people out — every number is nines and zeros, so you have to read right along before you can decide.

    Order each set, least to greatest

    Pupil practice
    Module 1 · Place Value: Whole Numbers to 9,999 and Rounding Number
    Lesson 6 · Ordering a Set of Numbers
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