Starter quiz
- A parallelogram has ______ pairs of equal side lengths.
- '2' ✓
- What is the inverse of multiplication?
- Repeated addition
- Division ✓
- Subtraction
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- 108 ÷ 12 = ______
- '9' ✓
- What is the formula for the area of a parallelogram? Write the missing word. Area = __________ × perpendicular height.
- 'base' ✓
What is the area of the parallelogram? ______ cm².- '96' ✓
- A parallelogram has a base length of 7 cm and a perpendicular height of 6 cm. What is the area of the parallelogram? ______ cm².
- '42' ✓
Exit quiz
- If the area of a parallelogram is known, what formula could be used to work out the missing perpendicular height?
- area ÷ base = perpendicular height ✓
- area − base = perpendicular height
- area × base = perpendicular height
- area ÷ perpendicular height = base
-
- If the area of a parallelogram is known, what formula could be used to work out the missing base?
- area ÷ base = perpendicular height
- area − perpendicular height = base
- area × perpendicular height = base
- area ÷ perpendicular height = base ✓
-
If the parallelogram has an area of 60 cm², what is the missing base? ______ cm.- '12' ✓
If the parallelogram has an area of 240 cm², what is the missing perpendicular height? ______ cm.- '10' ✓
- If a parallelogram has an area of 48 cm² and a base of 8 cm, what is the missing perpendicular height? ______ cm.
- '6' ✓
- If a parallelogram has an area of 48 cm² and a perpendicular height of 12 cm, what is the missing base? ______ cm.
- '4' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- The area of a parallelogram is equal to its base multiplied by its perpendicular height.
- If the area of a parallelogram is known, division can be used to determine a missing base or perpendicular height.
Common misconception
Pupils highly familiar with finding the area of a rectangle by multiplying its side lengths might overgeneralise and multiply the base by a side length rather than by the perpendicular height.
Some 'red herring' examples are given in the Practice questions where the side length is given unnecessarily. You may wish to make an extra teaching point of how this is superfluous. Remind pupils of the formula, which does not include side lengths.
Keywords
Parallelogram - A parallelogram is a quadrilateral with two pairs of parallel and equal sides.
Base - The base is the side which is perpendicular to the shape’s height.
Perpendicular - Two lines are perpendicular if they meet at a right angle.
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