1. Geometry and Measures Upper and Lower Bounds Grade 5

2. Complete the rounding table: Task on Entry - Rounding 1 dp2 dp1 sf2 sf 32.743 456.736 3.4782 19.9287 12.371 0.0595 0.0600.06 0.1 121012.37 12.4 20 19.9319.9 3.533.48 3.5 460500456.74456.7 333032.7432.7

3. The length of a piece of string has been rounded to 7cm. What is the shortest and longest it could have been before rounding? 7cm6cm8cm 6.5cm7.5cm Upper and Lower Bounds

4. The width of a football pitch is 76.2 yards, to one decimal place. What is the widest and narrowest the pitch could be? 76.2 yards76.1 yards76.3 yards 76.15 yards76.25 yards Upper and Lower Bounds

5. A roof tile weighs 54.23g, correct to 2 decimal places. What is the minimum possible weight of 30 tiles? 54.23g54.22g54.24g 54.225g54.235g Upper and Lower Bounds 54.225 x 30 = 1626.75g = 1.6kg (1dp)

6. A postcard measures 8cm by 6cm, to the nearest whole centimetre. What is: a) Its smallest possible area? b) Its biggest possible area? 8cm 6cm Applying Upper and Lower Bounds

7. A postcard measures 8cm by 6cm, to the nearest whole centimetre. What is: a) Its smallest possible area? = 7.5cm x 5.5cm = 41.25cm² (2dp) 8cm 6cm Upper and Lower Bounds

8. A postcard measures 8cm by 6cm, to the nearest whole centimetre. What is: b) Its biggest possible area? = 8.5cm x 6.5cm = 55.25cm²(2dp) 8cm 6cm Upper and Lower Bounds

9. Independent Task

10. Further Bounds 1.84cm 2.25cm

11. Further Bounds Work out the maximum and minimum dimensions of the shape…

12. Further Bounds Using these dimensions, work out the maximum and minimum values for the area

13. Further Bounds Calculating the maximum possible error…

14. Further Bounds Calculating the maximum possible error…

15. Independent Task

16. Further Bounds Calculate the maximum and minimum dimensions

17. Further Bounds Calculate all the possible volumes

18. Further Bounds Calculate the maximum possible error…

19. Stretch and Challenge