17 plan.
Area and Perimeter
We are learning to: Calculate the area of 2-D and 3-D shapes. Investigate the relationship between area and perimeter.
Calculate the area of a room from a scale
Day One Study the steps used to solve the problem in the example below. Draw a quadrilateral with a perimeter of 30 cm and an area of 36 cm2
. Top tip:
To solve this puzzle, draw all quadrilaterals with an area of 36 m2
in order
to find one that has a perimeter of 30 cm.
Estimate and calculate: Perimeter = 12 cm + 12 cm + 3 cm + 3 cm = 30 cm
Area = 12 cm x 3 cm = 36 cm2
Summarise and check how you got your answer: I drew all of the quadrilaterals with an area of 36 cm2 one with a perimeter of 30 cm.
Try these. A square has an area of 49 m2
1 What is its perimeter? Answer: 2 The area of a shape is 120 cm2 .
What might its perimeter be? (There is more than one answer.)
Answer: 3
Draw a square whose perimeter is the same as its area. Share your answer with your classmates. Did you all use the same measurements?
Marks: 72 Strand: Measures Strand Units: Area; Length Today’s Marks: /2 /6 Marks: /2 Marks: /2 . and found just
Circle the numbers and keywords: perimeter of 30 cm, area of 36 cm2 Link with operation needed (+, −, × or ÷): + (perimeter). x, ÷ (area). Use a strategy: Visualise and use trial and improvement. 12 cm
3 cm
Week 17
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