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For younger learners

  • Early Years Foundation Stage

Patterns in Number Sequences

Patterns in Number Sequences

Mathematicians are often interested in exploring the structure of number sequences. In these problems, we invite you to explore and describe sequences, and explain the patterns you notice.

Summing Consecutive Numbers 
Age 11 to 14
Challenge Level Yellow star

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Shifting Times Tables 
Age 11 to 14
Challenge Level Yellow star

Can you find a way to identify times tables after they have been shifted up or down?

Charlie's Delightful Machine 
Age 11 to 16
Challenge Level Yellow star

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Go Forth and Generalise 
Age 11 to 14

Spotting patterns can be an important first step - explaining why it is appropriate to generalise is the next step, and often the most interesting and important.

Related

  • Patterns and Sequences - Stage 3
  • Patterns and Sequences - Stage 4
  • Patterns and Sequences Short Problems

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Reasoning Geometrically

These resources are designed to get you thinking about geometrical reasoning.

Reasoning with Numbers

These resources are designed to get you thinking about reasoning with numbers.

Reasoning with Data

These resources are designed to get you thinking about data handling.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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