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How do you do it?

7 to 11

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

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Journeys in Numberland

7 to 11

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

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Surprising equalities

14 to 18

Take any triangle, and construct squares on each of its sides. What do you notice about the areas of the new triangles formed?

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Favourite

Same length

11 to 16

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

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Favourite

Farey sequences

11 to 14

There are lots of ideas to explore in these sequences of ordered fractions.

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Modulus arithmetic and a solution to dirisibly yours

16 to 18

Peter Zimmerman from Mill Hill County High School in Barnet, London gives a neat proof that: 5^(2n+1) + 11^(2n+1) + 17^(2n+1) is divisible by 33 for every non negative integer n.

problem

Dividing a cake

7 to 11

Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?

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Throw a 100

7 to 11

Can you score 100 by throwing rings on this board? Is there more than way to do it?

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Angles in three squares

14 to 16

Drawing the right diagram can help you to prove a result about the angles in a line of squares.

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Integrating rich tasks - activity 4.3

5 to 11

This professional development activity is designed to help you assess your embedding of rich tasks into the curriculum and, in particular, think about what to do next

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How do you do it?

Journeys in Numberland

Surprising equalities

Same length

Farey sequences

Modulus arithmetic and a solution to dirisibly yours

Dividing a cake

Throw a 100

Angles in three squares

Integrating rich tasks - activity 4.3