Visual and Shape Patterns
Exploring patterns formed using shapes and visual arrangements.
Core concept
Recognising visual patterns strengthens spatial reasoning alongside numerical understanding — students can predict the next figure in a sequence by identifying how many new elements are added each time, such as noticing that each new 'layer' added to a growing square pattern always adds an odd number of new dots. This connects to the mathematical fact that the sum of the first n odd numbers always equals n², linking visual and numerical patterns together.
Exam highlight
Key diagram

- Show a growing pattern of triangles or squares made of dots.
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Quick notes
• Visual patterns use shapes/dots arranged in growing or repeating sequences.
• A growing square pattern of dots represents the sequence of square numbers.
• Each new 'layer' added to a growing square pattern adds an odd number of dots.
• The sum of the first n odd numbers always equals n² (a square number).