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

Growing and Shrinking Patterns

Explore patterns that stay the same, grow or shrink by examining the constant step between terms, predicting the next numbers, and discovering how different rules create different speeds of growth.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is a block staircase. The first step has 1 block. The next step has 3 blocks. The step after that has 5 blocks.

    Have a go

    How many blocks do you think the next step will need? Have a guess before we work it out together.

    2 - Watch and Notice ~8 mins

    A term is a number we land on in a pattern; the step is the jump from one term to the next. Four patterns are on the number lines. Watch the gaps between the markers each time and decide what the step is doing.

    3 - Build the Next Steps in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, draw the next two steps of the block staircase from the start of the lesson. It went 1, 3, 5, 7 blocks. Beside each new step, write how many blocks it adds on from the step before.

    4 - Try It Together ~8 mins

    Now let's test what we found. One pupil comes to the board and marks where the next term lands, then says where the one after would go. Everyone else watches and says the step rule aloud: is the step staying the same, growing or shrinking?

    Mark the next term

    5 - Class Challenge ~8 mins

    Today we work through these predictions together. For each pattern, place the marker where the next term belongs, then check it.

    Tip

    The later ones ask you to look further ahead, so use the rule rather than counting one tiny step at a time. The last one doubles each time, so the rule is double the last number.

    Predict the next term

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Mixed
    Lesson 117 · Growing and Shrinking Patterns
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