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Perimeter and Area Yr 7 QCA, HBS, Ri

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Pin-board shapes Write down the following information for the shape: 1.Count the dots around the perimeter (D.P.) Draw shapes on the pin-board by joining dots. 2. Count the dots inside the shape (D.I.) 3. Calculate the area of the shape (A.)

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Pin-board shapes ShapeAD.I.D.P.Comments No.1104 No No

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At home... Conduct your investigation and write down any patterns relating the three variables that you find. Find a formula for the area of a shape using the dots in the perimeter and number of dots in the middle. Give reasons for why your formula works.

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Pick’s Theorem

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Does the number of dots in the perimeter give us the length of the perimeter of the shape?

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Who was Pick? Georg Alexander Pick August 10, 1859 – July 26, 1942 Born in Austria, died in Bohemia, now Czech Republic

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Teacher only Pick’s Theorem... … is not a relationship about perimeter and area!

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Pick’s Theorem What did you discover?

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What’s the longest perimeter you can make? Perimeter and area Is there always a relationship between perimeter and area? Draw a shape with area 24, what’s the perimeter of your shape? What’s the smallest area you can make? Draw a shape with perimeter 24, what’s the area of your shape?

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Teacher only Activity Ask pupils to investigate rectangles with the perimeter and area in the previous slide using their maths books (squared paper)

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Perimeter, area, shapes and designing clothes

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Which shapes match? ?

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Make your own match In pairs, cut the sleeve of the old t-shirt. In the body of the t-shirt draw a shape that you can ‘sew’ the sleeve into – you cannot chose a circle. What is your guess of how it will look like? If you have time repeat with the other sleeve, with a different shape

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Plan your design, draw the shape. Cut out the shape to make a hole. Create your design by stapling the sleeve into your hole.

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Perimeter, area, shapes and designing clothes Can you explain your design process? How did you know you would be able to sew the sleeve into the hole? What shape was your hole?

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Teacher only

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