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Number and algebra

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For younger learners

  • Early Years Foundation Stage

Interactive Balance

Age 5 to 11
Challenge Level Yellow star
  • Interactive Environment
  • Teachers' Resources

This interactive environment can be used with learners, perhaps on an interactive whiteboard, for many different purposes.

It is ideal for exploring the concept of equivalence, and for introducing children to the way this can be recorded mathematically using the equals sign, as well as offering a context in which to practise using inequality signs (< and >). Using the balance to compare the two sides of a number sentence encourages 'relational' thinking (in other words, being able to describe the relationship between the two sides of the number sentence). This deepens children's understanding of arithmetic as well as building strong foundations for learning algebra later. 

The environment can also be used as a tool to support learners as they work on specific tasks (such as some of those found in the this primary feature).

It is worth noting that the calculator tool uses BODMAS, so if learners are inputting number sentences which use multiple operations, they may need introducing to this convention.

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Worms

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

Buzzy Bee

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

Fair Exchange

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

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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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