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Area of a rectangle

Simple Areas. Area of a rectangle. Area of a right-angled triangle. www.mathsrevision.com. Area of a circle. Area of composite shapes. Starter Questions. www.mathsrevision.com. 34 o. Area of a Rectangle. Learning Intention. Success Criteria.

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Area of a rectangle

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  1. Simple Areas Area of a rectangle Area of a right-angled triangle www.mathsrevision.com Area of a circle Area of composite shapes

  2. Starter Questions www.mathsrevision.com 34o www.mathsrevision.com

  3. Area of a Rectangle Learning Intention Success Criteria • To be able to state area formula for a rectangle. • 1. To come up with a formula • for the area of a • rectangle. • Apply formula correctly. • (showing working) www.mathsrevision.com • Use the formula to solve problems. • Answer containing • appropriate units www.mathsrevision.com

  4. General Jack’s Carpets Problem… www.mathsrevision.com Only £5 a square metre! How much for this one? ?

  5. Problem… 1m 1m = 1 square metre 6 m 6 square metres 3 m 6 square metres 6 square metres www.mathsrevision.com 3 rows of 6 squares = 3 x 6 = 18 square metres 18 x £5 = £90 How much for 18 square metres?

  6. Area of a rectangle 6 6 m length 3 3 m breadth www.mathsrevision.com 6 x 3 = 18 m² Area = length x breadth

  7. Area Now try TJ Int 1 Chapter Ex Page www.mathsrevision.com

  8. Example 1 Area = length x breadth A = l x b 11 cm A = 11 x 6 6 cm A = 66 cm² www.mathsrevision.com Find the area of the rectangle

  9. Example 2 Area = length x breadth A = l x b A = 12 x 12 A = 144 cm² www.mathsrevision.com 12 cm Find the area of the square

  10. Starter Questions www.mathsrevision.com 123o www.mathsrevision.com

  11. Area of A Right-Angled Triangle Learning Intention Success Criteria • Know area of a right-angled triangle formula • 1. Use the area of a rectangle formula to help us to come up with a formula to calculate the area of any right-angled triangle. 2. Use formula to work out area of triangle. www.mathsrevision.com 3. Show all working and units. www.mathsrevision.com

  12. Area of a right-angled triangle 4 cm 7 cm www.mathsrevision.com Area of rectangle = l x b = 7 x 4 = 28 cm² Area of triangle = ½ x Area of rectangle = ½ x 28 = 14 cm²

  13. Area of triangle Short cut 4 cm height base 7 cm www.mathsrevision.com Area of triangle = ½ x 7 x 4 = ½ x 28 = 14 cm² Area Δ = x base x height ½

  14. Example 1 Area Δ=½ x base x height AΔ =½ x b x h AΔ = ½ x 15 x 10 10 cm AΔ = 75 cm² www.mathsrevision.com 15 cm Find the area of the triangle

  15. Example 2 Area Δ=½ x base x height 8 cm AΔ =½ x b x h AΔ = ½ x 8 x 12 12 cm AΔ = 48 cm² www.mathsrevision.com Find the area of the triangle

  16. Area Now try TJ Int 1 Chapter Ex Page www.mathsrevision.com

  17. Starter Questions www.mathsrevision.com 123o www.mathsrevision.com

  18. Area of circle Learning Intention Success Criteria • Know area of a circle formula • 1. Use the area of a circle formula to calculate the area of different size circles, semi-circles and quarter circles. 2. Use formula to work out area of different size circles, semi-circles and quarter circles. www.mathsrevision.com 3. Show all working and units. www.mathsrevision.com

  19. Solution Area of a circle Q. Find the area of the circle ? 10cm www.mathsrevision.com Created by Mr Lafferty

  20. Solution The Area of a circle Q.Find the area of the circle ? 4cm www.mathsrevision.com Created by Mr Lafferty

  21. Solution The Area of a circle • The diameter of the circle is 60cm. • Find area of the circle? www.mathsrevision.com Created by Mr Lafferty

  22. The Area of a circle Find the area of the semi-circle ? Solution www.mathsrevision.com Created by Mr Lafferty

  23. Solution length of the arc of a circle Find the area of the quarter circle ? 8cm www.mathsrevision.com Created by Mr Lafferty

  24. Composite shapes Now try TJ Int 1 Chapter Ex Page www.mathsrevision.com

  25. 34o Starter Questions www.mathsrevision.com www.mathsrevision.com

  26. Area of a Composite Made up of Simple shapes Learning Intention Success Criteria • To be able to use knowledge gained so far to find the area of more complicated shapes.. • 1. To use knowledge to find area of more complicate shapes. www.mathsrevision.com • Show appropriate working. www.mathsrevision.com

  27. ? 13 cm Composite shapes 10 cm 6 cm ? 3 cm www.mathsrevision.com

  28. Composite shapes 10 cm 6 cm (1) 6 cm (2) ? 3 cm www.mathsrevision.com Area (1) = l x b = 10 x 6 = 60 cm² Area (2) = ½ x b x h = ½ x 3 x 6 = 9 cm² Area of shape = (1) + (2) = 60 + 9 = 69 cm²

  29. 15cm 11cm 6cm 3cm ? Example l x b Area (1)= =15 x 8 = 120 cm² ? 8cm (1) Area (2) = l x b =9 x 3 = 27 cm² (2) (1) + (2) Area of shape = = 120 + 27 9cm = 147 cm² Find the area of the shape

  30. 12cm 10cm 20cm 6cm Example l x b Area (1)= =20 x 12 = 240 cm² Area (2) = l x b =10 x 6 (2) = 60 cm² (1) – (2) Area of shape = = 240 -60 (1) = 180 cm² Find the area of the shape

  31. 5 cm 20cm Mixed Problems Example : Find the area of the shape Area = rectangle + semicircle www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  32. Mixed Problems The Circle Example : A circle is contained in a square. Find the grey shaded area below. 8cm Area = square - circle www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  33. Composite shapes Now try TJ Int 1 Chapter Ex Page www.mathsrevision.com

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