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NRICH: Pattern Making

In this activity, there are lots of different patterns for children to make, describe and extend.

Ages 3 – 5

Children often enjoy spotting patterns and making patterns with lots of different things, including themselves.

Adults could provide a ’pattern of the day’ with objects for children to copy, extend and create their own. They could make deliberate mistakes for children to spot. Parents and carers could join in.

The Activity
Children copy and continue an AB repeating pattern with blocks, then do it in other colours and with other materials such as small toys, leaves and twigs or by printing and sticking shapes on long pieces of paper. They can progress to more complex ABB or ABC repeating patterns and to make growing patterns.

Encouraging mathematical thinking and reasoning:

Describing
What do you notice about the pattern?
Can you say the colours – red, blue, …?

Reasoning
What is the same and what is different about this one and your copy?
I wonder which one goes next? I think the next one is blue – oh, don’t you agree?
Can you explain how the pattern should go?
What is wrong with this pattern?
Is that something you know or did you guess?

Opening Out
Can you make your own pattern along this strip?
What is the pattern called?
What is the rule for your pattern?
How is your pattern like this pattern? How is it different?
Can you continue this staircase pattern? What do you notice?

Recording
Can you record your pattern with stamps?
Can you make a staircase pattern with stickers?

The Mathematical Journey

Patterns:
• copying the pattern by matching cubes one at a time
• copying by complete units e.g. picking up a red and a blue cube together
• continuing the pattern in ones or in complete units
• correcting an error e.g. spotting a missing cube or reversed colours
• identifying the rule of the pattern – “It should go red, blue, blue”
• noticing a growing pattern – “It’s like a staircase”

Counting and cardinality:
• counting the number of items in the unit of repeat, or the towers in a staircase pattern

• generalising about a staircase pattern – “It’s one more each time!”

Position and spatial properties:
• using the vocabulary of position – “The red comes next”, “It’s blue between the red and the yellow”
• reversing units to make reflecting patterns e.g. ABC CBA

Development and Variation
Provide more complex repeating patterns: ABC, ABB, ABCD.
Vary the materials and media, indoors and out.
Make action or sound patterns and record them with invented symbols.
Make growing patterns, e.g. going up in ones.
Make reflecting patterns with peg boards, mirrors and constructions.Story, rhyme and song links
The Shopping Basket by John Burningham
There Was an Old Lady Who Swallowed a Fly
Goldilocks

Resources
Coloured cubes, beads, small toys, leaves and twigs; printing and sticking shapes.
Pegboards, mirrors, construction materials.
Long strips of paper for making patterns.See the Erikson Early Math Collective website for more activities about patterns.

Math Topics
Patterning & Sequencing
Early Childhood, Educator
Preschool
Descriptions of PDFs

## Organization

NRICH (University of Cambridge)

Lesson Plan
PDF File