Using and Applying Mathematics at Key Stage 2 by Sellars Elaine;Lowndes Sue; & Sue Lowndes

Author:Sellars, Elaine;Lowndes, Sue; & Sue Lowndes [Sellars, Elaine & Lowndes, Sue]
Language: eng
Format: epub
Publisher: David Fulton Publishers
Published: 2013-08-15T00:00:00+00:00

What happens to the number of slabs each time the size of the pond increases?

Use this rule to predict the number of slabs needed for ponds up to 10ft by 10ft and fill in the table.

Can you find a quicker way of working out the number needed for a pond 20 ft by 20 ft?

Test your idea by drawing the pond and try to find a rule that can by used for any size pond.

Investigate for other shape ponds (keep your shapes simple and try to plan a system).

Pond Borders (3)

A garden centre sells ponds that it makes to a special design. A path made of paving slabs 1 ft by 1 ft surrounds each pond.

E.g. a path containing 20 slabs, as below, will surround a pond that is 4ft by 4 ft:

Investigate for other size square ponts and tabulate your results.

Remember to make predictions and test them.

Look for patterns and rules to connect the size of the pond to the number of slabs needed.

Try to write your rules in words then use ‘s’ for size of pond and ‘n’ for the number of slabs and try to use algebra to write your rule.

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