1. missburkerocks.wordpress.com Measurement Year 7 & 8

2. missburkerocks.wordpress.com Length  A length is a distance.  In Australia we use the metric system for measurement and the base unit is the metre.  The length of an object is commonly measured in:  millimetres (mm)  centimetres (cm)  metres (m)  kilometres (km).

3. missburkerocks.wordpress.com  1km = 1000m (kmm = x1000)  1m = 100cm (mcm = x100)  1cm = 10mm (cmmm = x10) From this information you can create a Length conversion chart: km 1000 1000 m 100 100 cm 10 mm

4. missburkerocks.wordpress.com Length Conversions 1.Write the question. 2.Use the conversion chart to identify conversion factor. 3.Multiply or divide original measurement. 4.Put correct units. Eg/ Complete the following metric conversions. a) 756m=__________ km b) 0.034km (m) c) 374cm=_________m d) 54cm (mm) e) 380mm (cm) f) 374cm (km)

5. missburkerocks.wordpress.com Length Conversions

6. missburkerocks.wordpress.com Length Conversions

7. missburkerocks.wordpress.com Classwork Year 7 Text: Cambridge Essential Maths 7: Chapter 11  Ex 11B Q4a-f, 5a-c, 6g-h, 7a-f, 10a, b, 12, 13, 17, 19

8. missburkerocks.wordpress.com Length Conversion: Exit questions Complete the following metric conversions. a) 38m=__________ km b) 24cm=_________mm c) 49cm (m) d) 380m (mm)

9. missburkerocks.wordpress.com Geometric symbols  A box in the corner of an angle denotes a right angle  Similarly marked segments are congruent (the same length)

10. missburkerocks.wordpress.com Perimeter  Perimeter is the measurement of the distance (length) around the outside of a 2D shape.  To calculate the perimeter of an object we add the length of all of the sides together once they are in common units. 8cm 5cm

11. missburkerocks.wordpress.com Calculating Perimeter 1.Convert all dimensions (measurements) to the same units (mm, cm, m, km). 2.Calculate and record any missing lengths. 3.Add all lengths together. 4.Put correct units. Examples: 8cm 5c m 1. 2. 3. 4cm 9cm 8mm 9m m 4. 98cm 5m 4m 10m 4m

12. missburkerocks.wordpress.com Calculating Perimeter

13. missburkerocks.wordpress.com Calculating Perimeter

14. missburkerocks.wordpress.com Calculating Perimeter

15. missburkerocks.wordpress.com Classwork Year 8 Text: Cambridge Essential Maths 8: Chapter 4 Ex 4A Q3, 5a,b,e,f,I,j,m,n, 6, 7c-f, 8a-d, 10 Remember to show all working Year 7 Text: Cambridge Essential Maths 7: Chapter 11  Ex 11C Q1, 3, 4, 5, 6, 8, 11 Remember to show all working

16. missburkerocks.wordpress.com Perimeter: Exit questions

17. missburkerocks.wordpress.com Area  1km 2 =1 000 000m 2 (km 2 m 2 = x1000 2 )  1m 2 =10 000cm 2 (m 2 cm 2 = x100 2 )  1cm 2 =100mm 2 (cm 2 mm 2 = x10 2 ) if 1cm= 10mm then 1cm x 1cm= 10mmx10mm =10 2 mm 2 =100mm 2 1c m 10mm  Area is the amount of space inside a 2D shape.  The area is measured in squared units (mm 2, cm 2, m 2 or km 2).  Units are squared units as you are calculating how many 1x1 squares would fit inside the shape!

18. missburkerocks.wordpress.com Calculating Areas of 2D shapes 1.Convert all dimensions (measurements) to the same units (mm, cm, m, km). 2.Write formula and dimensions. 3.Substitute values into formula. 4.Solve. 5.Put correct units.

19. missburkerocks.wordpress.com Area (Year 7&8)

20. missburkerocks.wordpress.com Area (Year 7&8)

21. missburkerocks.wordpress.com Area (Year 7&8)

22. missburkerocks.wordpress.com Area (Year 7&8)

23. missburkerocks.wordpress.com Area (Year 8)

24. missburkerocks.wordpress.com Area (Year 8)

25. missburkerocks.wordpress.com Area (Year 8)

26. missburkerocks.wordpress.com Classwork Year 8 Text: Cambridge Essential Maths 8: Chapter 4  Ex 4C 5a-f  Ex 4D 3a,b,d,e,g,h,j,k Remember to show all working Extension  Ex 4C 1a,b, 2, 6  Ex 4D 6, 7, 8 Year 7 Text: Cambridge Essential Maths 7: Chapter 11  Ex 11D 6a-f  Ex 11E 4a-e  Ex 11F 3a-d Remember to show all working Extension  Ex 11D 7, 10, 12  Ex 11E 3, 6, 10, 11  Ex 11F 6, 8

27. missburkerocks.wordpress.com Write the formulae for the following shapes a)b) c)d) e)f) Area: Year 7 exit questions

28. missburkerocks.wordpress.com Area Conversions  1km 2 =1 000 000m 2 (km 2 m 2 = x1000 2 )  1m 2 =10 000cm 2 (m 2 cm 2 = x100 2 )  1cm 2 =100mm 2 (cm 2 mm 2 = x10 2 ) if 1cm= 10mm then 1cm x 1cm= 10mmx10mm =10 2 mm 2 =100mm 2 1c m 10mm  Remember: Area is the amount of space inside a 2D object. Units are squared units as you are calculating how many 1x1 squares would fit inside the shape!

29. missburkerocks.wordpress.com Area continued  From this you can create an area conversion chart: km 2 1000 2 1000 2 m 2 100 2 100 2 cm 2 10 2 10 2 mm 2

30. missburkerocks.wordpress.com Area conversion

31. missburkerocks.wordpress.com Area conversion

32. missburkerocks.wordpress.com Circles  Diameter (D) : The distance across a circle from one side to the other, passing through the centre.  Radius (r) : The distance from the side of a circle to the centre. D r  Calculations for measurements involving circles involve a special number called π (pi pronounced pie).  The value of πis close to 3.14159… However, you should always use the πbutton on your calculator when calculating with πunless told otherwise.

33. missburkerocks.wordpress.com Circumference of a circle  The circumference of a circle is the distance around the outside (perimeter) of a circle. The formula for the circumference of a circle is: Circumference =πx Diameter =πD or Circumference = 2xπxradius =2πr To remember: Twinkle, Twinkle little star Circumference of a circle is 2πr C=2πr

34. missburkerocks.wordpress.com Area of a circle  The formula for the area of a circle is: Area= πx radius x radius =πr 2 Area=πx r x r =πr 2

35. missburkerocks.wordpress.com Calculate the circumferences and areas of the following circles. a)b) c)d) 8cm 13m 20mm52km Circumference and Area of a circle: Examples

36. missburkerocks.wordpress.com Area of a circle

37. missburkerocks.wordpress.com Area of a circle

38. missburkerocks.wordpress.com Classwork Year 8 Text: Cambridge Essential Maths 8: Chapter 4  Ex 4B Q5a,b,d,e  Ex 4E Q3, Q5a,d,e, Q6a,d,f Remember to show all working Extension:  Ex 4B Q6  Ex 4E Q

39. missburkerocks.wordpress.com Calculate the circumferences and areas of two circles below. a)b) Circles: Exit questions 25cm 5km

40. missburkerocks.wordpress.com Area of a circle

41. missburkerocks.wordpress.com Areas of composite shapes

42. missburkerocks.wordpress.com Areas of composite shapes

43. missburkerocks.wordpress.com Areas of composite shapes

44. missburkerocks.wordpress.com Areas of composite shapes

45. missburkerocks.wordpress.com Areas of composite shapes

46. missburkerocks.wordpress.com Areas of composite shapes

47. missburkerocks.wordpress.com Areas of composite shapes

48. missburkerocks.wordpress.com Areas and perimeters of sectors  A sector is a portion of a circle enclosed by two radii.