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

Biggest and Smallest Numbers from Three Digits

Arrange three digit cards to make the biggest and smallest three-digit numbers. Explore how place value controls the size of a number and why zero cannot lead the smallest number.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere are three digit cards: 3, 7 and 5. Using each card once, what is the very biggest three-digit number you could make? And what is the very smallest?

    Have a think, then hands up. See if the number you make beats the person before you.

    2 - Watch and Notice ~12 mins

    Here are three-digit numbers made from digit cards using place-value blocks. Notice where each card sits and how much it is worth in that column.

    3 - Try It Together ~8 mins

    Now we build some together. For each set of digits, one pupil comes up to the board to build the number with the place-value blocks while the rest of the class watches and agrees or corrects aloud. We will make the biggest number and then the smallest number for each set: first 3, 7 and 5, then 8, 4 and 2, then 6, 3 and 1.

    Before you build, say out loud which digit is the largest.

    Build the biggest and smallest

    4 - Write Both in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, for each set of three digits the teacher gives, write the biggest number you can make and the smallest number you can make, one under the other. Circle the digit in the hundreds place each time.

    5 - Class Challenge ~8 mins

    Now we take on four sets of cards, one at a time, and find the biggest and smallest three-digit number for each: first 2, 6 and 9, then 5, 1 and 4, then 7, 0 and 3 where the zero is the tricky one, and last of all 8, 8 and 1 where two cards are the same. Two cards can be the same, that is fine.

    Before we build each set, hands up and say where each card must go.

    Biggest and smallest from each set

    Pupil practice
    Module 1 · Place Value: Whole Numbers to 1,000 and Rounding Number
    Lesson 12 · Biggest and Smallest Numbers from Three Digits
    Download Activity Book page (PDF)
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