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

Number Patterns and Sequences: Find the Rule

Explore number sequences by finding the rule that links each number to the next. Discover adding, subtracting, and doubling rules through guided discovery and practice on the number line.

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    1 - Getting Started ~4 mins

    Here is a sequence: 4, 8, 12, 16. What number do you think comes next? Hands up if you can also tell me how you worked it out.

    2 - Watch and Notice ~9 mins

    Add 3

    Watch as we hop along the number line: 3, 6, 9, 12. Each hop is the same size. What is the rule?

    Take away 5

    Now the numbers get smaller: 50, 45, 40, 35. We hop backwards the same amount each time.

    Double each time

    This one is different: 2, 4, 8, 16. Each number is two times the one before it, so the hops get bigger and bigger.

    3 - Try It Together ~8 mins

    Today we work through these sequences together on the number line: 6, 12, 18 then 100, 90, 80 then 1, 3, 5, 7. For each one we hop the marker to the next number and say the rule out loud before we check it.

    Hop to the next number

    4 - Write the Rule in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write each of these sequences, draw an arrow between the numbers, and write the rule underneath (for example, "add 3"):

    • 3, 6, 9, 12
    • 50, 45, 40, 35
    • 2, 4, 8, 16

    5 - Class Challenge ~7 mins

    Today we continue these sequences together: 5, 10, 15, 20 then 90, 80, 70, 60 then 1, 3, 5, 7 then 1, 2, 4, 8. We work out the next number, place it on the line, and check it.

    Continue the sequence

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Mixed
    Lesson 107 · Number Patterns and Sequences: Find the Rule
    Download Activity Book page (PDF)
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