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Revising Perimeter Area and Volume

Revising Perimeter Area and Volume. Revising Length. Revising Perimeter. Revising Area. Revising Volume 1. www.mathsrevision.com. Revising Volume 2. Revising Weight. Starter Questions. Q1. Solve the equation 3a = 27. Q2. Find two numbers that multiply to give 18

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Revising Perimeter Area and Volume

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  1. Revising Perimeter Area and Volume Revising Length Revising Perimeter Revising Area Revising Volume 1 www.mathsrevision.com Revising Volume 2 Revising Weight Created by Mr. Lafferty Maths Dept.

  2. Starter Questions Q1. Solve the equation 3a = 27 Q2. Find two numbers that multiply to give 18 and subtract to give 3. www.mathsrevision.com Q3. Solve the equation x – 30 = 55 Q4. True or false 4 x 5 + 7 = 27 Created by Mr. Lafferty Maths Dept.

  3. Length Learning Intention Success Criteria • Be able identify units on a ruler. • 1 We are revising length. 2. Be able to measure accurately length of an object. www.mathsrevision.com 3. Be able to convert units of length. Created by Mr. Lafferty Maths Dept.

  4. Start at 0 NOT the edge of the ruler Measuring a Line 3.9 cm 9.1 cm

  5. Drawing Lines Draw a line 4.2 cm Draw a line 9.4 cm

  6. Units of Length Converting Measurements Kilometres (km) metres (m) www.mathsrevision.com centimetres (cm) millimetres (mm) Created by Mr. Lafferty Maths Dept.

  7. Units of Length Converting Measurements Examples Convert 2m to cm : 2 x 100 = 200 cm Convert 4km to m : 4 x 1000 = 4000 m www.mathsrevision.com Convert 34cm to mm : 34 x 10 = 340 mm Convert 50cm to m : 50 ÷ 100 = 0.5 m Created by Mr. Lafferty Maths Dept.

  8. Units of Length A joiner needs a length of wood 173cm long. He only has a length of wood 2m long. How many centimetres will he need to cut off the 2m length ? 2m = 200cm www.mathsrevision.com 2 7 Created by Mr. Lafferty Maths Dept.

  9. Length Now try TJ2b Q1 to Q5 Ch13 (page 127) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  10. Starter Questions Q1. True or false 2.3 x 8 = 18.4 Q2. Convert 5.4km to m www.mathsrevision.com Q3. Solve the equation 2c = 34 Q4. True or false 2 x 15 + 7 = 37 Created by Mr. Lafferty Maths Dept.

  11. Perimeter Learning Intention Success Criteria • Understand the term perimeter of a shape. • 1. We are learning the term perimeter of a shape. www.mathsrevision.com 2. Calculate the perimeter of a shape. Created by Mr. Lafferty Maths Dept.

  12. Perimeter What is perimeter ? www.mathsrevision.com Hint answer is on the screen ! Created by Mr. Lafferty Maths Dept.

  13. Perimeter www.mathsrevision.com Perimeter Created by Mr. Lafferty Maths Dept.

  14. Perimeter Perimeter is the distance round the outside of a2D shape www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  15. x m 4 m 9 m 8 m 4 m Perimeter 12 m Perimeter Problem Below is a drawing of the school building. Calculate the perimeter. x = 12 – 9 =3 m www.mathsrevision.com = 12 + 8 + 3 + 4 + 9 + 4 = 40 m Created by Mr. Lafferty Maths Dept.

  16. Perimeter Now try TJ2b Q6 to Q8 Ch13 (page 127) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  17. Starter Questions Q1. 25% of 360 Q2. Convert 7.2km to m www.mathsrevision.com Q3. Solve the equation 8a = 72 Q4. True or false 3 x 9 + 7 = 35 Created by Mr. Lafferty Maths Dept.

  18. Area Learning Intention Success Criteria • To understand the term area. • 1 We are revising area. www.mathsrevision.com • Be able to find the area of various shapes. Created by Mr. Lafferty Maths Dept.

  19. Area 1cm 1cm The area of a shape is simply defined by : “the amount of space a shape takes up.” Think of a square measuring 1 cm by 1cm we say it is : www.mathsrevision.com 1cm2 ( 1 square centimetre ) Created by Mr. Lafferty Maths Dept.

  20. Calculate the area of the yellow shapes. 13 cm2 3 cm2 Created by Mr. Lafferty Maths Dept.

  21. Area of a Rectangle Example Find the area of the rectangle opposite B = 2cm L = 9cm Area = Length x Breadth A = L x B www.mathsrevision.com A = 9 x 2 A = 18 cm2 Demo Created by Mr. Lafferty Maths Dept.

  22. John wants to re-turf his lawn. (a) Calculate the area he needs to cover in m2. A = l x b = 7 x 3 = 21m2 Created by Mr. Lafferty Maths Dept.

  23. Given one roll of turf covers 3m2. • How many rolls will John need. • Calculate the total cost if one roll of turf costs £14.40. 7 rolls 14.40 x7 £100.80 Created by Mr. Lafferty Maths Dept.

  24. Area of a Rectangle Example Find the breadth b of the rectangle. b cm A = 36cm2 A = l x b 9cm 36 = 9 x b www.mathsrevision.com 9b = 36 Remember units (÷9) b = 4 cm Created by Mr. Lafferty Maths Dept.

  25. 6cm 12cm Area of A Right-Angled Triangle Calculate the area of this shape www.mathsrevision.com Demo Created by Mr. Lafferty Maths Dept.

  26. Area Now try TJ2b Q9 to Q14 Ch13 (page 128) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  27. Starter Questions Q1. Write 67% as a fraction and then a decimal. Q2. Find the perimeter of the rectangle. 9m www.mathsrevision.com 6m Q3. Find the area the rectangle in Q2. Compiled by Mr. Lafferty Maths Dept.

  28. Volume Learning Intention Success Criteria • Understand the term volume. • We are learning the • term volume. • Be able volume in terms of capacity. www.mathsrevision.com • Answer to contain • appropriate units. Compiled by Mr. Lafferty Maths Dept.

  29. Volume What is Volume ? The amount of space a shape takes up in 3D ( Dimensions) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  30. Volume Put these everyday objects in order of volume. (smallest first) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  31. Volume Put these everyday objects in order of volume. (smallest first) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  32. Volume Julie is making 36 cup cakes for her friends. 4 cups of water (a) How much flour is used ? 150g 250g of butter 3 eggs (b) Julie bought half a dozen eggs. What fraction did she use ? ½ 50g of caster sugar 2 teaspoons of oil (c) If she needs to make 72 cakes How much butter will she need ? 150g of flour 500g ½ teaspoon of salt • On another day she only makes • 12 cakes. How many eggs will she need ? 1 egg Compiled by Mr. Lafferty Maths Dept.

  33. Liquid Volume Reading Scales How much liquid in the jug ? Count the number of small divisions 2 Litres 1 litre = 1000ml 5 Each division is worth www.mathsrevision.com 1 1 litre ÷ 5 = 200ml 1000ml ÷ 5 = 0 200ml x 4 = 800ml Compiled by Mr. Lafferty Maths Dept.

  34. Liquid Volume How much liquid in the jug ? Count the number of small divisions 2 Litres 1 litre = 1000ml 5 Each division is worth www.mathsrevision.com 1 1 litre ÷ 5 = 200ml 1000ml ÷ 5 = 0 200ml x 7 = 1400ml or 1.4 litres Compiled by Mr. Lafferty Maths Dept.

  35. Liquid Volume How much liquid in the jug ? ( Careful different scale) Count the number of small divisions 2 Litres 1 litre = 1000ml 4 Each division is worth www.mathsrevision.com 1 1 litre ÷ 4 = 250ml 1000ml ÷ 4 = 0 250ml x 7 = 1750ml or 1.75 litres Compiled by Mr. Lafferty Maths Dept.

  36. Volume Now try TJ2b Q15 to Q18 Ch13 (page 129) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  37. Starter Questions Q1. What is perimeter. Q2. 25% of 120. www.mathsrevision.com Q3. Write 45 litres in ml. Compiled by Mr. Lafferty Maths Dept.

  38. Volumes by Counting Cubes Learning Intention Success Criteria • Understand the term volume. • We are revising volume. • Calculate volume for various shapes. www.mathsrevision.com • Answer to contain • appropriate units. Compiled by Mr. Lafferty Maths Dept.

  39. Volumes by Counting Cubes Volume is the amount of space a 3D - shape takes up 1cm 1cm 1cm www.mathsrevision.com One Unit of Volume is the “CUBIC CENTIMETRE” = 1 centimetre cube = 1 cm³ Compiled by Mr. Lafferty Maths Dept.

  40. Volumes by Counting Cubes What is its volume in cm³ of these shapes. www.mathsrevision.com 5 cm3 5 cm3 6 cm3 Compiled by Mr. Lafferty Maths Dept.

  41. ConversionMillilitres to Litres 1000ml = 1 litre x 1000 Litres (l) millilitres (ml) www.mathsrevision.com ÷ 1000 raindrop Created by Mr. Lafferty Maths Dept.

  42. ConversionMillilitres to Litres 1000ml = 1 litre Convert the following to millilitres (a) 1.1 litres (b) 3.7 litres (c) 0.85 litres 1100 ml 3700 ml 850 ml Convert the following to millilitres www.mathsrevision.com (a) 2500 ml (b) 6100 ml (c) 450 ml 2.5 litres 6.1 litres 0.45 litres Created by Mr. Lafferty Maths Dept.

  43. 4cm 3cm 6cm A short cut ! height Area of rectangle breadth www.mathsrevision.com length Volume = 6 x 3 x 4 = 72 cm³ Volume= length xbreadth x height Compiled by Mr. Lafferty Maths Dept.

  44. Heilander’s Porridge Oats Working Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm³ 27cm 5 cm 18 cm Demo Compiled by Mr. Lafferty Maths Dept.

  45. Working Volume = l x b x h V = 2 x 2 x 2 V = 8 cm³ 2cm www.mathsrevision.com Demo Compiled by Mr. Lafferty Maths Dept.

  46. Volume Now try TJ2b Q19 to Q21 Ch13 (page 129) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  47. Starter Questions Q1. Write 67% as a fraction and then a decimal. Q2. Find the perimeter of the rectangle. 9m www.mathsrevision.com 6m Q3. Find the area the rectangle in Q2. Compiled by Mr. Lafferty Maths Dept.

  48. Weight Learning Intention Success Criteria • Understand the term Weight. • We are revising Weight. • Be able to convert grams to kilograms and vice versa. www.mathsrevision.com • Answer with appropriate units. Compiled by Mr. Lafferty Maths Dept.

  49. Weight A cubic with volume 1 cm3 filled with water weighs 1g Light weight measured in grams (g) 1 cm www.mathsrevision.com Weight = 1g Heavy weight measured in kilograms (kg) 1 cm 1 cm Compiled by Mr. Lafferty Maths Dept.

  50. 1000g = 1kg Weight Put these everyday objects in order of Weight. (smallest first) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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