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A learning challenge for calculating the perimeter and area of compound shapes. It includes definitions, conversions, strategies for calculation, and problem-solving activities. Students are encouraged to explain their reasoning and workings out.
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Which vocabulary are you already familiar with and can define? Are there any words in today’s learning challenge that you are unsure of?
Mathematical Language Definition Perimeter Area Formula Quadrilateral Compound Shape
Rediscover – Converting measurements 10cm =? m 20cm =? m ? M = 50cm 100cm =? m ? M = 105cm 97.6cm =? m 2.00m =? cm 2.1m =? cm 2.15m =? cm ? km = 1000m 1500m =? km 1750m = ?km Apply your learning from last week to convert these metric units of measurement. You will find these conversions on your sheet. Go through as a class and self-mark in green pen!
25cm 10cm Which strategy is the most efficient? Which strategy do you prefer? Why?
50.5cm 10.25cm Which strategy is the most efficient? Which strategy do you prefer? Why? Does the inclusion of a decimal change your thinking? Can you make any connections between these examples?
3cm 5cm 7cm 3cm 4cm 3cm Perimeter = 18cm Perimeter = 22cm Perimeter = 28cm
How does your strategy differ? Can you make any generalisations? (E.g. To find the perimeter of a regular hexagon…)
10cm 10cm 5cm 18cm Let’s calculate the perimeter of this further example. Explain how you can find a numerical value of the missing lengths.
5cm 5cm 3cm 3cm Which strategy is the most efficient? Which strategy do you prefer? Why?
Area is the measure of how much space a shape takes up. We measure it in squares such as square centimetres or metres. 10cm 5cm How can you calculate the area of a rectangle? Which strategy would you use?
Calculate the area of these rectangles. Which unit will we need to express our answers in? 6 cm 1.5 cm 9 cm 2 10 mm 18 mm 180 mm 2 7 m 49 m 7 m 2
12 cm 6 cm 5 cm 7 cm 3 cm
We can divide the shape into two quadrilaterals. Is there anything else that we would then need to find? How can we use this information to help us calculate? Can you think of more than one strategy that we can use?
6 cm 5 cm 7 cm 3 cm
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Calculate the area of both quadrilaterals. How can we use this information to help us calculate? What would we need to do with this information?
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