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St George’s Day

A comprehensive PowerPoint for numeracy revision class, covering area calculations for rectangles, circles, and compound shapes at levels 1 and 2. Includes warm-up quiz, lesson objectives, formulas, and practical exercises.

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St George’s Day

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  1. St George’s Day April 2011. Kindly contributed by Mark Sergison, Dudley College. Search for Mark on www.skillsworkshop.org This PPT was originally written for a 2.5 hour revision class. Alternative, shortened versions for 1hr and 1.5hr lessons are also available on skillsworkshop. Curriculum links Covers many aspects of Level 1 and Level 2 Functional Mathematics and adult numeracy including decimals, multiplication, and area of rectangles, triangles, circles and compound shapes. Please refer to the download page for this resource on skillsworkshop.org for detailed curriculum links and related resources. The PPT includes mentions of other external sites / resources such as BBC Skillswise, BKSB and BBC Bitesize. Direct links are not provided so the tutor should read through and research these (or edit to include their own worksheets, etc.) before using this PPT.

  2. St. George’s Day

  3. Warm-up Quiz • The lengths of St. George’s swords were: 1.8m, 1.4m, 0.95m, 1.05m, 1.3m, 1.3m. What was the mean length of his swords? • Out of 800 soldiers who went battle, only 176 would return without injury. What percentage came back uninjured? • English troops outnumber the Welsh by 3:1. If there are 9000 Welsh troops, how many English will there be? • It took St. George 40mins to prepare, 1hr 20mins to ride to battle & 1.25hrs to slay the dragon. The total duration is? Answers • 1.3m • 22% • 27,000 • 3 ¼ hrs

  4. Lesson ObjectiveCalculate the area of shapes. Lesson Outcomes • Correctly multiply decimals to calculate the area of at least 5 rectangles (all). • Correctly substitute numbers in a formula to calculate the area of at least 5 circles (most). • Correctly combine the areas of 2 shapes to calculate the area of at least 5 compound shapes (some).

  5. Area of RectanglesUnderpinning skill = multiply pairs of numbers, particularly decimals: • 2.8 x 46 = • 115 x 2.7 = • 3.1 x 4.9 = 128.8 310.5 15.19

  6. Applying this skill • The shape of the jousting field is rectangular. It measures 9.8m wide and 22.5m long. What is its area? 220.5m²

  7. Applying this skill • The rectangular banquet hall needs new floor wood panels. It measures 28m long and 9.42m wide. What is it’s area? 263.76m²

  8. Developing the skill. • St. George wants a flag made so he can wave it after slaying the dragon. He wants it to be 2.3m long and 80cm high. What will its area be? 1.84m² OR 18,400cm²

  9. Developing the skill. • A piece of fabric is needed to depict the story of St. George and the dragon. It is 45cm long and 380mm wide. What will its area be? 1710cm² OR 171,000mm²

  10. Independent activity Confident? • Try Skillswise worksheet 1 OR Need a bit more Practice? • Try bksb Exercise 2 sheet Computer Activity • SkillswiseArea of Rectangles quizzes. • Make a note of your scores on your lesson session sheet. When You Finish... • Field with area of 60m². What could its dimensions be? • What if its area was 24m²?

  11. Formula • The area of a circle is calculated using this formula: Area of circle = π r² • The area for a rectangle can be written as a formula: Area of rectangle = LW π = value of 3.14 r = radius ² = squared means the value multiplied by itself

  12. Area of circle 78.5cm² • What is the area of this cart’s wheel? It has a radius of 5cm.

  13. Area of a circle • Medieval plates have an 18cmdiameter. What is their area? 254.34cm²

  14. Area of a Triangle - formula Area of a triangle = ½ b h • What is the area of one face of the canopy roof? It has a base of 5m and a height of 2.8m • 7m²

  15. Area of a triangle • The boat needs a new sail. The mast is 4.2m high and the boom is 2.3m long. What size material is needed to create a sail for this boat? • 4.83m²

  16. 15 min Break

  17. Recap • What is the formula for the area of a rectangle? Area of Rectangle = L W • What is the formula for the area of a circle? • Area of Circle = π r² • What is the formula for the area of a triangle? • Area of Triangle = ½ b h

  18. Compound Shapes What is a ‘compound shape’?

  19. Area of a compound shape • This is the plan view of St. George’s bedroom. What is the area of the room? 72cm² 11 cm 6 cm 8 cm 2 cm

  20. Area of Compound Shape Area of rectangle • 4 x 6.2 = 24.8 Area of circle • r² = 2 x 2 = 4 • π r² = 3.14 x 4= 12.56 Area of semi-circle • 12.56 ÷ 2 = 6.28 • 24.8 + 6.28 = 31.08m² • This is the draw bridge from the castle. What is its area? 6.2m 4m

  21. Independent Activity Start • Compound Shapes sheet. Practical – use a ruler. When You Finish... • Perimeter & Area exercisesheets. Applying all skills to solve problems. Computer Activity • Bitesize – Area Test Bite quiz. • Make a note of your scores on your lesson Area Session sheet.

  22. Lesson ObjectiveCalculate the area of shapes. Lesson Outcomes • Correctly multiply decimals to calculate the area of at least 5 rectangles (all). • Correctly substitute numbers in a formula to calculate the area of at least 5 circles (most). • Correctly combine the areas of 2 shapes to calculate the area of at least 5 compound shapes (some).

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