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Measurement

Measurement. Grade 6 L.G : Metric Conversion, Perimeter and area of parallelograms, and complex shapes Grade 7 L.G : Metric Conversion, Perimeter and area of trapezoids, and complex shapes Grade 8 L.G : Metric Conversion, Circumference and area of circles, and complex shapes. You Try!. 1.

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Measurement

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  1. Measurement Grade 6 L.G: Metric Conversion, Perimeter and area of parallelograms, and complex shapes Grade 7 L.G: Metric Conversion, Perimeter and area of trapezoids, and complex shapes Grade 8 L.G: Metric Conversion, Circumference and area of circles, and complex shapes

  2. You Try! 1 11230 • 1000 m = _____ km • 903 cm = _____ m • 40 dm = _____ cm • 959 mm = ______ m • 8.13 m = ______ cm • 11.23 L = ______ mL • 0.09 m = _____ cm • 45.09cm = _____ dam • 11m2 = _____ cm2 • 25cm2= _______ m2 9.03 9 0.04509 400 0.959 110000 0.001025 813

  3. Rectangles Sum of interior angles = 360° Perimeter = 5cm + 5cm + 8cm + 8cm = 26cm Area = (Length)(Width) = (5cm)(8cm) = 40cm²

  4. Triangles Sum of interior angles = 180°

  5. Right Angle Triangles

  6. Area and Perimeter of Triangles Perimeter = 15cm + 6cm + 8cm = 29cm Area = (base)(height) 2 = (8cm)(5cm) 2 = 20cm²

  7. Parallelograms Quadrilateral with opposite sides parallel

  8. Area and Perimeter of Parallelograms Perimeter = 2m + 2m + 2.5m + 2.5m = 9m Area = Area Triangle 1 + Area Triangle 2 = (base)(height) + (base)(height) 2 2 = (base)(height) = (2.5m) (1.8m) = 4.5m²

  9. Trapezoids Quadrilateral with 1 set of opposite sides parallel

  10. Area and Perimeter of Trapezoids Perimeter = 12mm + 14mm + 18mm + 13mm = 57mm Area = Area Triangle 1 + Area Triangle 2 = (base)(height) + (base)(height) 2 2 = (height) (base 1 + base 2) 2 = (11mm) (12mm + 18mm) 2 = (5.5mm) (30mm) = 165mm²

  11. Circles

  12. Circles Circumference = 15cm Diameter = 4.774cm Circumference : Diameter 3.14 (pi) 3.141592653590 (never ends and never repeats) **When calculating, round to 3.1416 **

  13. Finding the Circumference of a Circle = = = = r = 2 (5m) = 2 (3.1416)(5m) = 31.416m

  14. Finding the Radius of a Circle = = radius = circumference 2 r= = 50mm/2 = 50mm/2(3.1416) = 7.9577mm

  15. Area of a Circle

  16. Area of a Circle = ² = 78.54m²

  17. Area of Complex Shapes **To find the area of complex shapes, break them up into simpler shapes. Find each area and add them together** Area = A(triangle) + A(trapezoid) = bh + h (base 1 + base 2) 2 2 = (15m)(7m)+ 8m (24m + 15m) 2 2 = 105m² + 4m (39m) 2 = 52.5m² + 156m² = 208.5m²

  18. Area of Complex Shapes Area of complex shape = Total area – Inside area = (16m)(10m) – (12m)(6m) = 160m² - 72m² = 88m² 12m 6m

  19. Area of Complex Shapes Area = (Area square – Area Circle) + Area Triangle 2 = (20cm x20cm) - ² + (20cm)(20cm) 2 2 = 400cm² - 314.16cm² + 200cm² 2 = 42.92cm² + 200cm² = 242.92cm² 30cm

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