Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Counting Patterns and Multiples on the Hundred Square

Explore how multiples of different numbers create distinct patterns on the hundred square. Connect shading multiples to counting on in equal jumps, and discover which numbers belong to more than one counting pattern.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLet's count together in fives: five, ten, fifteen, twenty… keep going.

    Look at where those numbers land. What do you notice about the last digit of every fives number? Hands up if you can say what they all end in.

    2 - Watch and Notice ~9 mins

    Here are three counting patterns shaded on the hundred square. Watch how each one leaves its own trail.

    The twos fill in the even columns. Look what shape the fives make.

    Now the threes. Do they make columns like the fives, or something different?

    3 - Try It Together ~8 mins

    Now we shade some counting patterns together on the grid. One pupil taps at the board while the whole class counts aloud together, so everyone has a part to play.

    We'll do the 4s first, then the 5s again to prove they match our counting, then the 10s. Watch which of the 10s are already shaded from the 5s.

    Shade the counting patterns

    4 - Write the Fives in Your Copy ~2 mins

    COPYBOOK MOMENT

    In your maths copy, write the first eight multiples of 5 in a row, one after the other. Then, underneath, write what every single one of them ends in.

    5 - Class Challenge ~8 mins

    Before we shade anything, we practise predicting a brand new pattern together. Think about the multiples of 6: 6, 12, 18, 24, 30… Will they make straight columns like the twos and fives, or a slant like the threes? Talk with your partner and agree one clear prediction as a class.

    Now we work through four shading challenges together. First shade all the multiples of 2. Then shade all the multiples of 5. Then shade all the multiples of 3. Last, shade only the numbers that are multiples of BOTH 2 and 5.

    Before each challenge, pause and predict the trail you will see. For the last one, predict which squares are multiples of both before you tap them, then press Check.

    Shade the multiples

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Mixed
    Lesson 110 · Counting Patterns and Multiples on the Hundred Square
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