Maths activitiesAlgebra · Year 7/8 real-world maths

Algebra Pattern Factory

You run a maker workshop. Instead of recalculating every order, you need rules that work for any order size.

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Variables, expressions and formulas · Lesson 1 of 5

Name what changes

Keep going

LookSee the ideaTryChange the modelCheckUse the clue

Do thisSet stage 4. Show how 3n + 2 builds the pattern.

Change it. Then tap Check.

Stage 1

fixedfixed

5 tiles

Stage 2

fixedfixed

8 tiles

Stage 3

fixedfixed

11 tiles

Predict the number of tiles at stage 8

What does n represent?

Connect the pattern, symbols and context before checking.

Hown counts repeating groups; the +2 stays fixed.

Mathsrule = repeating part × n + fixed part

WhyA rule predicts materials for any pattern stage.

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Maths activitiesAlgebra · Year 7/8 real-world maths

Algebra Pattern Factory

You run a maker workshop. Instead of recalculating every order, you need rules that work for any order size.

Preview · nothing is saved

0%0 of 5 lessons

Variables, expressions and formulas · Lesson 1 of 5

Name what changes

Keep going

LookSee the ideaTryChange the modelCheckUse the clue

Do thisSet stage 4. Show how 3n + 2 builds the pattern.

Change it. Then tap Check.

Stage 1

fixedfixed

5 tiles

Stage 2

fixedfixed

8 tiles

Stage 3

fixedfixed

11 tiles

Predict the number of tiles at stage 8

What does n represent?

Connect the pattern, symbols and context before checking.

Hown counts repeating groups; the +2 stays fixed.

Mathsrule = repeating part × n + fixed part

WhyA rule predicts materials for any pattern stage.