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3.3 Area
Mathematics · Grade 7 · 8 lessons in the design
What this covers
- Meaning of area and of plane figures
- Square metre (m²), acres and hectares as units of area
- Relationship between square metres and hectares
- Area of a rectangle, parallelogram, rhombus and trapezium
- Area of a circle
- Area of borders and combined shapes
What you will be able to do
- identify the relationship between square metre (m²) and hectares as units of measuring area
- work out the area of a rectangle, parallelogram, rhombus and trapezium in different situations
- work out the area of circles in different situations
- calculate the area of borders and combined shapes in real-life situations
- recognize the use of area in real-life situations
Key questions
“What are plane figures?”
“How do we work out the areas of plane figures?”
Lessons
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Plane figures and area
40 min · 1 practice tasks · quizA plane figure is a flat shape; its area is how many square units cover it, which is not the same as perimeter.
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Square metres and hectares
40 min · 1 practice tasks · quizConvert between square metres and hectares using 1 ha = 10,000 m², and read Kenyan land talk in acres as about 0.4 ha each.
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Area of a rectangle
40 min · 1 practice tasks · quizCompute the area of rectangles and squares with A = L x W, after units match, for floors, courtyards and kitenge.
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Area of a parallelogram
40 min · 1 practice tasks · quizFind the area of a parallelogram as base times perpendicular height, after seeing it shear into a rectangle.
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Area of a rhombus
40 min · 1 practice tasks · quizFind the area of a rhombus as half the product of its diagonals, or as base times height.
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Area of a trapezium
40 min · 1 practice tasks · quizFind the area of a trapezium as the average of the two parallel sides times the perpendicular height.
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Area of a circle
40 min · 1 practice tasks · quizRearrange circle sectors into a rectangle to get A = πr², then compute with 22/7 or 3.14.
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Borders and combined shapes
40 min · 1 practice tasks · quizFind a path or frame as outer area minus inner area, and split L-shapes into known figures, then recognise area in Kenyan jobs.