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Level 3 Areas of Simple Shapes

Level 3 Areas of Simple Shapes. This presentation will cover the formulae for the areas of various simple shapes. It is aimed at students studying at level 3. Where appropriate, follow up exercises are indicated for consolidation purposes. www.mathsrevision.com. Simple Areas.

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Level 3 Areas of Simple Shapes

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  1. Level 3Areas of Simple Shapes This presentation will cover the formulae for the areas of various simple shapes. It is aimed at students studying at level 3. Where appropriate, follow up exercises are indicated for consolidation purposes. www.mathsrevision.com Created by Mr.Lafferty

  2. Simple Areas Definition : Area is “ how much space a shape takes up” A few types of special Areas www.mathsrevision.com Any Type of Triangle Revision of Square, Rectangle and RAT. Rhombus and kite Parallelogram Trapezium Created by Mr.Lafferty Composite shapes

  3. Starter Questions Q1. Is the solution to the equation x = -3 Explain ao Q2. Are the missing angles ao = 45o and bo = 55o bo www.mathsrevision.com Q3. Explain why the mean is equal to 12 16, 9, 15,8 Q4. How many difference ways can you find Created by Mr.Lafferty

  4. Revision of Area Learning Intention Success Criteria • To remember the area formula for the square, rectangle and RAT’s. • 1. To revise the basic areas including square, rectangles and RAT’s. www.mathsrevision.com • Apply formulae correctly. • (showing working) • Answer containing • appropriate units Created by Mr.Lafferty

  5. The Square The Rectangle The RAT Revision of Area l b h l l b www.mathsrevision.com Exercise 1 Teejay Page 101 Created by Mr.Lafferty

  6. Basic Simple Areas Definition : Area is “ how much space a shape takes up” A few types of special Areas www.mathsrevision.com Any Type of Triangle Revision of Square, Rectangle and RAT. Rhombus and kite Parallelogram Trapezium Created by Mr.Lafferty

  7. Starter Questions Q1. Calculate 110o Q2. Are the missing angles 70o,40o,40o Explain www.mathsrevision.com Q3. Is the HCF of 10 and 36 180 Explain. Q4. Explain 2 ways of calculating Created by Mr.Lafferty

  8. Any Triangle Area Learning Intention Success Criteria • To remember the formula for the area of ANY triangle. • 1. To develop a formula for the area of ANY triangle. www.mathsrevision.com • Apply formula correctly. • (showing working) • Answer containing • appropriate units Created by Mr.Lafferty

  9. h = vertical height b Any Triangle Area Demo Sometimes called the altitude h www.mathsrevision.com Created by Mr.Lafferty

  10. 8cm Any Triangle Area Example 1 : Find the area of the triangle. 6cm www.mathsrevision.com Created by Mr.Lafferty

  11. 4cm Any Triangle Area Example 2 : Find the area of the triangle. Altitude h outside triangle this time. 10cm www.mathsrevision.com Exercise 2 Teejay Page 104 Created by Mr.Lafferty

  12. Starter Questions Q1. Find the area of the triangle. 3cm Q2. Expand out 2w( w - 5) – 3w 4cm www.mathsrevision.com Q3. Calculate Q4. Find the LCM of the two numbers 4 and 6 Created by Mr.Lafferty

  13. Rhombus and Kite Area Learning Intention Success Criteria • To remember the formula for the area of ANY rhombus and kite. • 1. To develop a single formula for the area of ANY rhombus and Kite. www.mathsrevision.com • Apply formulae correctly. • (showing working) • Answer containing • appropriate units Created by Mr.Lafferty

  14. Area of a Rhombus This part of the rhombus is half of the small rectangle. d D www.mathsrevision.com Created by Mr.Lafferty

  15. d D Area of a Kite Exactly the same process as the rhombus www.mathsrevision.com Created by Mr.Lafferty

  16. Rhombus and Kite Area Example 1 : Find the area of the shapes. 2cm 4cm 5cm 9cm www.mathsrevision.com Created by Mr.Lafferty

  17. Rhombus and Kite Area Example 2 : Find the area of the V – shape kite. 4cm www.mathsrevision.com 7cm Exercise 3 Teejay Page 107 Created by Mr.Lafferty

  18. Starter Questions 6cm Q1. Is the area of the rhombus equal to 10.5cm2 Explain your answer. 7cm Q2. Show that there are 2880 minutes in 2 days www.mathsrevision.com Q3. Expand 2p( y - 3p) – 2py Q4. Calculate Created by Mr.Lafferty

  19. Parallelogram Area Learning Intention Success Criteria • To remember the formula for the area of a parallelogram. • 1. To develop a formula for the area of a parallelogram. www.mathsrevision.com • Apply formula correctly. • (showing working) • Answer containing • appropriate units Created by Mr.Lafferty

  20. Parallelogram Area h b Important NOTE h = vertical height www.mathsrevision.com Created by Mr.Lafferty

  21. Parallelogram Area Example 1 : Find the area of parallelogram. 3cm 9cm www.mathsrevision.com Exercise 4 Teejay Page 110 Created by Mr.Lafferty

  22. Starter Questions Q1. Find the area of the parallelogram 8 7 Q2. Is the HCF 6 and 24 24 Explain your answer. www.mathsrevision.com Q3. Show that 11.5 % of 150 is 17.25 Q4. Simplify 3(h -2) + h(2 - 4h) = -4h2 + 6h - 6 Created by Mr.Lafferty

  23. Trapezium Area Learning Intention Success Criteria • To remember the formula for the area of a trapezium. • 1. To develop a formula for the area of a trapezium. www.mathsrevision.com • Apply formula correctly. • (showing working) • Answer containing • appropriate units Created by Mr.Lafferty

  24. Trapezium Area Two triangles WXY and WYZ a cm X Y 1 h cm 2 www.mathsrevision.com Z W b cm Created by Mr.Lafferty

  25. Trapezium Area Example 1 : Find the area of the trapezium. 5cm 4cm www.mathsrevision.com 6cm Exercise 5 Teejay Page 112 Created by Mr.Lafferty

  26. Starter Questions 9 8 Q1. Find the area of the trapezium 7 Q2. Is the HCF for 4 and 12 equal to 2. Explain your answer. www.mathsrevision.com Q3. Find 6.5% of 60 Q4. Is 3(f – 4) - 4f = 7f -12 Explain your answer Created by Mr.Lafferty

  27. Composite Areas Learning Intention Success Criteria • To understand the term composite. • 1. To show how we can apply basic area formulae to solve more complicated shapes. www.mathsrevision.com 2. To apply basic formulae to solve composite shapes. • Answer containing • appropriate units Created by Mr.Lafferty

  28. Composite Areas We can use our knowledge of the basic areas to work out more complicated shapes. Example 1 : Find the area of the arrow. www.mathsrevision.com 5cm 6cm 3cm 4cm Created by Mr.Lafferty

  29. Composite Areas Example 2 : Find the area of the shaded area. 8cm 11cm www.mathsrevision.com 4cm 10cm Exercise 6 Teejay Page 114 Created by Mr.Lafferty

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