Year 8 Measurement Math Perimeter, Area, Units and Volume.pptx

A powerpoint of Year 8 Measurement under the Australian Curriculum. Goes over Perimeter, Converting Units, Estimating Units, Area and Volume. Problem questions and examples included plus extra help videos and resources to extensively practice problems.

1. Measurement Year 8 22/07/2024

2. Converting Units Practice - Part 1

3. Converting Units Practice - Part 2

4. What is Perimeter ? The total length of all sides of a shape BR

5. Quadrilaterals What do they have i n common? BR

6. Question 1 Q1: What quadrilateral is the shape? Q2: Find the perimeter

7. Work Period Conversion questions Part 1 and Part 2 MathSpace Task - Perimeter If you haven’t finished: MathSpace Task 1 - Review of Units of Length

8. 24/07/2021 Area of Quadrilaterals (+ Triangle)

9. Bell work

10. Quadrilaterals BR Kite Square Rectangle Parallelogram Rhombus (Diamond) Trapezoid

11. Question 1 - Perimeter of Composite Shapes What is the Composite Shape a combination of?

12. Question 1 - Perimeter of Composite Shapes B . What is Perimeter?

13. Question 2 - A . What is the Perimeter?

14. Area of Squares, Rectangles, Triangles & Parallelograms

15. Question 1. What is the shape? What is the Area?

16. Question 2. A 12cmx2cm Rectangle is shown What is the Area?

17. Question 3. What is the shape? What is the Area? 21 cm 20 cm

18. Question 3. What is the shape? What is the Area? 21 cm 20 cm

19. ** Question 4. What is the shape? What is the Area?

20. Area of trapezoids, kites, and rhombuses

21. Question 5. What is the shape? What is the Area?

22. Question 6. What is the shape? What is the Area?

23. Question 7. What is the shape? What is the Area?

24. Area of Composite Shapes Let’s try it out

25. Hectare, Acre, huh?

26. Shoutouts Leanne Isabella Ajai Ella Stephen Archie Mason Maddie

27. Work Period - Use Link to research Complete Chart and stick it to your BR Research properties of different quadrilaterals Make sure to include Area Formulas Use Link to complete Trapezoids, Rhombus and Kite Quadrilaterals

28. 2. Work Period - MathSpace If you haven’t finished: MathSpace Task 1 - Review of Units of Length MathSpace Task - Perimeter (assigned yesterday - DUE TODAY) TODAY - Area of Quadrilaterals + Part 2 (DUE FRIDAY) If done → Measurement Task 1 - Units of Length Conversion - EXTRA Remember: you assessment will be on MathSpace

29. Around the Class - MathSpace Perimeter Questions Find all 6 questions around the room Answer Questions correctly with workings First three → prize (?) or No winner Pushing/Shoving - your out

30. All about ✨Circles✨

31. Shoutouts Archie Maddie Leanne

32. Bell Work

33. Circle Activity Working in pairs follow the steps: Draw a small dot for the center of the circle (origin) Draw a straight line from one of the circle to the other end (diagonal) Measure this line and write the number + unit down → label this as your DIAMETER Using a different colour pen/marker, make a line that is exactly half of the diameter Measure this line and write the number + unit down → label this as your RADIUS

34. Bound Reference Diameter Straight line passing through the centre of a circle Radius Straight line from the center of a circle to surface ALWAYS the half of the Diameter Example BR

35. Perimeter of a Circle?

36. BR Perimeter of a Circle = Circumference Circumference = all around the circle Circumference = π × d ?

37. Circle Activity - Part 2 Working in pairs follow the steps: Take a piece of string and accurately cover all around your circle Cut the string and straighten it on the desk Measure this string and write its length + unit Divide the length of the string by the diameter of your circle What did each group get?

38. Pi (pronounced like "pie") is often written using the greek symbol π π π = 3.14159265… Number keeps going with no repeating values (This is why we use π on our calculators) Can you find π on your Calculator ?

39. BR Perimeter of a Circle = Circumference Circumference = all around the circle Circumference = π × d π = pi = 3.14159…

40. Area of a Circle Area = πr 2 A = ( π x radius) 2 Area = Inside the circle

41. Question 1

42. Question 2

43. Question 3

44. Work Period Complete circles worksheet → Exit Pass If done MathSpace Task - Area of composite shapes

45. Composite Shapes Can you find the Area of the shape? **Need to break it down to the shapes we know (quadrilaterals + triangles + circles)

46. Composite Shapes Can you find the Area of the shape? **Need to break it down to the shapes we know (quadrilaterals + triangles + circles)

47. Work Period MathSpace Task - Area of composite shapes

48. Estimation & Units of Area 02/08/2024 Learning Goals: (copy down in workbook ) I can choose appropriate units of measurement for area I can convert from one unit to another Instructions: In your Bound Reference - write how you can remember each unit of measurement (1 mm 2 1 cm 2 1 m 2 1 km 2 )

49. But first … Shoutouts Leanne Archie Isabella Ella Maddie Mason Stephen For completing assigned work! Need a lot more of you 8M in this list :)

50. What is Area?

51. Area Units Square millimeters (mm 2 ) Look at your ruler and take note of the smallest unit - this is 1 millimeter (mm) Draw a line that’s 1 mm vertical and another 1 mm line horizontal to make a square (like the square in the next slide) You just drew a 1 square millimeter or 1 mm 2 How do I remember a 1 mm 2 ? A tiny dot made by a fine-point pen on a piece of paper might be approximately 1 mm 2 1 mm 2 1 mm 1 mm

52. Area Units Square centimeter (cm 2 ) Look at your ruler and take note of 1 centimeter - this is 1 centimeter (cm) Draw a line that’s 1 cm vertical and another 1 cm line horizontal to make a square (like the to the right) You just drew a 1 square centimeter or 1 cm 2 1 cm 2 1 cm 1 cm How do I remember a 1 cm 2 ? Look at your thumbnail - this is approximately 1 cm 2

53. Area Units Square meter (m 2 ) The classroom should have a meter stick (close to the board) Take note of what 1 meter looks like 1 m 2 1 m 1 m How do I remember a 1 m 2 ? A small kitchen table, large coffee table, guitar, baseball bat or golf club might be about 1 m 2 Meter stick

54. Area Units Square kilometer (km 2 ) The classroom should have a meter stick (close to the board) Take note of what 1 meter looks like 1 km 2 1 km 1 km How do I remember a 1 km 2 ? The famous Royal Botanic Gardens in Melbourne approximately covers an area of 0.38 km 2 That means 1 square kilometre is almost three times the size of the Royal Botanic Gardens

55. What about hectares or acres?

56. Hectare A hectare is a special unit of area often used to measure the area of a piece of land. It is equal to a piece of land that is 100 m long by 100 m wide. WB Copy in your workbook How do I remember a Hectare (1 ha)? About the size of a rugby field or just over two soccer fields.

57. Acre The more common unit of measuring a piece of land. 1 hectare is approximately equivalent to 2.47 acres So which is bigger? 1 acre or 1 hectare?

58. Work Period If not done → Complete Area of Composite Shapes MathSpace Task MathSpace Task - Estimation and Units of Area

59. Review Find the Area of the Composite shape

60. Review Find the Area of the Composite shape

61. Volume & Capacity Learning Goals: (copy down in workbook) I can calculate the volume of various types of right prisms (such as triangular, square, rectangular, pentagonal, hexagonal, and octagonal prisms) I can use the formula for the volume of a right prism to solve problems Instructions: In your Bound Reference - write all that is bolded 2 Examples - copy and answer in your workbook

62. BR Copy in your Bound Reference

63. Calculating Volume of Prisms Volume (V) Area of Prism Base Height (H) BR Copy in your Bound Reference

64. Example 1 - Workbook Questions: What is this shape called? What is the volume?

65. Example 1 Questions: What is this shape called? Answer: Triangular Prism

66. Example 1 2. What is the volume? Step 1: Need to find A base *Base is the triangle Area of a triangle = ½bh = ½ x 4 mm x 4mm A base = 8 mm 2 Step 2: Calculate V (volume) V = A base h V = 8 mm 2 x 11 mm V = 88 mm 3 Answer: The triangular prism has a volume of 88 mm 3

67. Example 2 - workbook Questions: What is the name of the shape? What is the volume?

68. Water Tank Problem A water tank is 12 feet high, 5 feet long and 9 feet wide. A solid metal box which is 7 feet high, 4 feet long, and 8 feet wide is sitting at the bottom of the tank. The tank is filled with water after a couple of minutes. What is the volume that the water fills in the tank? Draw a diagram of the water tank and metal box Calculate the volume of the tank that the water will fill After calculating watch video to see if you did it correct: Video

69. Work Period MathSpace Task - Volume of Prisms

70. Extra Help I’m usually in the Math Office btw :)

71. Extra Help - MathSpace Lesson + Videos (click picture to go to link)

72. Circles - what is pi? Perimeter (circumference) & Area of Circles - YouTube Link

73. All About Pi - website

74. Volume of Prisms - Website (link below)