Case Study Y

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Below is an HTML copy of the questionnaire completed by the pupils before and after the activity and two weeks later. Please note that the numerical values were altered between each questionnaire.

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Name

The activity you are about to do relates to circles. The aim of the activity is to improve your understanding of a particular aspect of circles. The questions below are intended to find out about your understanding of that aspect. On the right is a picture of a circle. Two lengths are marked on the circle with arrows.

L1 is the distance across the middle of the circle. If you know the special name for the distance across the middle of a circle, write it in the box below: 1 L2 is the distance around the outside of the circle (perimeter). If you know the special name for the distance around the outside (perimeter) of a circle, write it in the box below: 2 On the right is a circle where the distance across the middle is given. We want to know the distance around the outside of the circle (length L2). You can use a method to work it out if you know one, or you can use an educated guess. Do not use a calculator. Write your estimate of the length L2 in the box here: 3a Say briefly how you came to this answer in the box below: 3b On the right is a circle where the distance around the outside is given. We want to know the distance across the middle of the circle (length L1). You can use a method to work it out if you know one, or you can use an educated guess. Do not use a calculator. Write your estimate of length L1 in the box here: 4a Say briefly how you came to this answer in the box below: 4b

There is a mathematical relationship between the distance across the middle and the distance around the outside of a circle. If you know what the relationship is, describe it in the box below. You could use words to describe the relationship, or you might use a formula. Try and be as clear and precise as possible.

5 . .