3.2 Area

• Area of circles
• Area of a sector of a circle
• Surface area of cubes, cuboids, cylinders and triangular prisms
• Area of irregular shapes

• calculate the area of circles in different situations
• work out the area of a sector of a circle in different situations
• work out the surface area of cubes and cuboids in real-life situations
• work out the surface area of cylinders in real-life situations
• determine the surface area of a triangular prism in different situations
• work out the area of irregular shapes using square grids in real-life situations
• use IT tools and other materials for learning more on area, and for enjoyment
• recognise use of length in real-life situations

“How do we use area in real-life situations?”

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1. The area of a circle
   40 min · 1 practice tasks · quiz
   Why the area formula is pi r squared, and using it on circles given by radius or by diameter.
2. Working with the area of a circle
   40 min · 1 practice tasks · quiz
   Finding a radius from a known area, and the area of a ring found by subtraction.
3. The area of a sector
   40 min · 1 practice tasks · quiz
   Taking the same fraction of the circle area as the angle gives, and keeping area and arc length apart.
4. Surface area of a cube
   40 min · 1 practice tasks · quiz
   Opening a cube into a net of six equal squares, and the formula that follows.
5. Surface area of a cuboid
   40 min · 1 practice tasks · quiz
   Six faces in three matching pairs, the formula that follows, and open boxes that have only five.
6. Surface area of a cylinder
   40 min · 1 practice tasks · quiz
   Unrolling a cylinder into two circles and a rectangle, and handling closed and open tins.
7. Surface area of a triangular prism
   40 min · 1 practice tasks · quiz
   Five faces, two triangles and three rectangles, found from the net and added rather than memorised.
8. The area of an irregular shape
   40 min · 1 practice tasks · quiz
   Estimating the area of a leaf, a hand or a field by tracing it on a square grid and counting.
9. Choosing the right area method
   40 min · 1 practice tasks · quiz
   Deciding which formula or method a question needs, and getting the units right every time.
10. Area in real life
    40 min · 1 practice tasks · quiz
    Working out paint, roofing sheets, tiles, card and land from area, and why you always buy more than you calculate.