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

Repeating Patterns and Their Rule

Explore repeating patterns by identifying the unit that keeps coming back, then use it to predict shapes at any position without laying out every single one.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at this row of blocks: red, blue, red, blue, red, blue. Now hands up: what colour do you think the tenth block would be, without laying all ten of them out one by one? Have a think about how you could be sure.

    2 - Watch and Notice ~9 mins

    Two repeating patterns are on screen: one made of triangles and squares, one made of triangles and a square. Watch for the part that keeps coming back, and keep an eye on where the squares land in each one.

    3 - Try It Together ~11 mins

    Today we explore patterns together on the board. We will start a repeating unit, then continue it for two more full repeats, and ring the unit so everyone can see the part that keeps coming back. After each one, we'll say which shape comes next and why.

    Continue the repeating pattern

    4 - Design Your Own in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, design your own repeating pattern with a unit of three shapes. Draw two full repeats of your pattern, then underline the repeating part so anyone reading your copy can spot the unit at a glance.

    5 - Class Challenge ~8 mins

    Today we work through these patterns together, one at a time:

    1. First, a pattern that goes star, diamond, star, diamond. Name the sixth shape.
    2. Next, a pattern that goes triangle, square, circle. Name the ninth shape.
    3. Then a longer jump. A pattern that goes circle, triangle, star. Name the twentieth shape.
    Tip

    The longer positions are where the unit really earns its keep, so we'll use it to skip ahead rather than count every shape.

    Name the shape at the position

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Mixed
    Lesson 118 · Repeating Patterns and Their Rule
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