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Y9 Booster Lesson 4. Objectives – what you should be able to do by the end of the lesson Use a calculator efficiently Use the function keys for powers,

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Presentation on theme: "Y9 Booster Lesson 4. Objectives – what you should be able to do by the end of the lesson Use a calculator efficiently Use the function keys for powers,"— Presentation transcript:

1 Y9 Booster Lesson 4

2 Objectives – what you should be able to do by the end of the lesson Use a calculator efficiently Use the function keys for powers, roots, brackets and memory Deal with remainders using a calculator

3 Estimation jigsawM4.1 2.3 x 5.85130 ÷ 9532 x 3.8371.2 ÷ 5.8 1421 ÷ 296.5 x 9.82769 ÷ 7138 x 68 51 x 611769 ÷ 2971 x 1944.89 ÷ 6.7 2511 ÷ 8149 x 64345.8 ÷ 9149 x 51 63.7 64 2584 2499 13.34 49 54 121.6 39 1349 6.7 61 3111 31 3.8 3136

4 Estimate: 49 x 51 What about the units column? So the answer is about With a digit column of

5 Estimation jigsawM4.1 2.3 x 5.85130 ÷ 9532 x 3.8371.2 ÷ 5.8 1421 ÷ 296.5 x 9.82769 ÷ 7138 x 68 51 x 611769 ÷ 2971 x 1944.89 ÷ 6.7 2511 ÷ 8149 x 64345.8 ÷ 9149 x 51 63.7 64 2584 2499 13.34 49 54 121.6 39 1349 6.7 61 3111 31 3.8 3136

6 Estimation jigsawM4.1 2.3 x 5.85130 ÷ 9532 x 3.8371.2 ÷ 5.8 1421 ÷ 296.5 x 9.82769 ÷ 7138 x 68 51 x 611769 ÷ 2971 x 1944.89 ÷ 6.7 2511 ÷ 8149 x 64345.8 ÷ 9149 x 51 63.7 64 2584 2499 13.34 49 54 121.6 39 1349 6.7 61 3111 31 3.8 3136

7 Estimation jigsawM4.1 2.3 x 5.85130 ÷ 9532 x 3.8371.2 ÷ 5.8 1421 ÷ 296.5 x 9.82769 ÷ 7138 x 68 51 x 611769 ÷ 2971 x 1944.89 ÷ 6.7 2511 ÷ 8149 x 64345.8 ÷ 9149 x 51 63.7 64 2584 2499 13.34 49 54 121.6 39 1349 6.7 61 3111 31 3.8 3136

8 Estimation jigsawM4.1 2.3 x 5.85130 ÷ 9532 x 3.8371.2 ÷ 5.8 1421 ÷ 296.5 x 9.82769 ÷ 7138 x 68 51 x 611769 ÷ 2971 x 1944.89 ÷ 6.7 2511 ÷ 8149 x 64345.8 ÷ 9149 x 51 63.7 64 2584 2499 13.34 49 54 121.6 39 1349 6.7 61 3111 31 3.8 3136

9 Estimate: 1769 ÷ 29 The answer is about:

10 Estimation jigsawM4.1 2.3 x 5.85130 ÷ 9532 x 3.8371.2 ÷ 5.8 1421 ÷ 296.5 x 9.82769 ÷ 7138 x 68 51 x 611769 ÷ 2971 x 1944.89 ÷ 6.7 2511 ÷ 8149 x 64345.8 ÷ 9149 x 51 63.7 64 2584 2499 13.34 49 54 121.6 39 1349 6.7 61 3111 31 3.8 3136 (60)

11 Estimation jigsawM4.1 2.3 x 5.85130 ÷ 9532 x 3.8371.2 ÷ 5.8 1421 ÷ 296.5 x 9.82769 ÷ 7138 x 68 51 x 611769 ÷ 2971 x 1944.89 ÷ 6.7 2511 ÷ 8149 x 64345.8 ÷ 9149 x 51 63.7 64 2584 2499 13.34 49 54 121.6 39 1349 6.7 61 3111 31 3.8 3136

12 Estimation jigsawM4.1 2.3 x 5.85130 ÷ 9532 x 3.8371.2 ÷ 5.8 1421 ÷ 296.5 x 9.82769 ÷ 7138 x 68 51 x 611769 ÷ 2971 x 1944.89 ÷ 6.7 2511 ÷ 8149 x 64345.8 ÷ 9149 x 51 63.7 64 2584 2499 13.34 49 54 121.6 39 1349 6.7 61 3111 31 3.8 3136 (60)

13 1769 ÷ 29 Possible answers: 61, 63.7, 64 Are any of the answers more likely - discuss with a partner

14 Estimation jigsawM4.1 2.3 x 5.85130 ÷ 9532 x 3.8371.2 ÷ 5.8 1421 ÷ 296.5 x 9.82769 ÷ 7138 x 68 51 x 611769 ÷ 2971 x 1944.89 ÷ 6.7 2511 ÷ 8149 x 64345.8 ÷ 9149 x 51 63.7 64 2584 2499 13.34 49 54 121.6 39 1349 6.7 61 3111 31 3.8 3136

15 Complete the estimation jigsaw. If more than one answer is close to an estimate try to investigate for further clues. As a last resort, make your best ‘guess’. Working in pairs:

16 On your calculator try the following calculations: 2345 – (23 x 21) 5³ - (87 -19)² (23 x 47) – (178 ÷ 4) ( 46 + 19)

17 On your calculator try the following calculations: 2345 – (23 x 21) 5³ - (87 -79)² (23 x 47) – (178 ÷ 4) ( 46 + 19) 1862 61 15.946153

18 1 2 3 4Packets of biscuits are packed in boxes which hold 144 packets. A factory makes 20 000 packets of biscuits. Can all the packets be put into completed boxes? How many completed boxes will there be? How many packets will be left over? 5 How many days, hours, minutes and seconds are there in a million seconds? What about 10 million seconds? Calculator problemsM4.2

19 1 2 3 4Packets of biscuits are packed in boxes which hold 144 packets. A factory makes 20 000 packets of biscuits. Can all the packets be put into completed boxes? How many completed boxes will there be? How many packets will be left over? 5 How many days, hours, minutes and seconds are there in a million seconds? What about 10 million seconds? Calculator problemsM4.2 137 16913.055 93.09584

20 1 2 3 4Packets of biscuits are packed in boxes which hold 144 packets. A factory makes 20 000 packets of biscuits. Can all the packets be put into completed boxes? How many completed boxes will there be? How many packets will be left over? 5 How many days, hours, minutes and seconds are there in a million seconds? What about 10 million seconds? Calculator problemsM4.2 137 16913.055 93.09584

21 4Packets of biscuits are packed in boxes which hold 144 packets. A factory makes 20 000 packets of biscuits. Can all the packets be put into completed boxes? How many completed boxes will there be? How many packets will be left over? How many full boxes?20 000 ÷ 144= 138.888889 138 full boxes and 0.888889 of a box 138 full boxes How many packets left over? Either 20 000 – (138 x 144) Or 0.888889 x 144 128 packets Answer: 138 full boxes with 128 packets left over

22 1 2 3 4Packets of biscuits are packed in boxes which hold 144 packets. A factory makes 20 000 packets of biscuits. Can all the packets be put into completed boxes? How many completed boxes will there be? How many packets will be left over? 5 How many days, hours, minutes and seconds are there in a million seconds? What about 10 million seconds? Calculator problemsM4.2 137 16913.055 93.09584

23 5How many days, hours, minutes and seconds are there in a million seconds? What about 10 million seconds? How many minutes? How many hours? How many days? 1 000 000 ÷ 60 = 16 666.66667 minutes 16 666 minutes and 0.66667 of a minute 0.66667 x 60 = 40 secs 16 666 ÷ 60 = 277.76667 hours 277 hours and 0.76667 of an hour 0.76667 x 60 = 46 mins 277 ÷ 24 = 11.541667 11 days and 0.541667 of a day 0.541667 x 24 = 13 hours Answer: 11 days, 13 hours, 46 minutes and 40 seconds

24 5How many days, hours, minutes and seconds are there in a million seconds? How many minutes? How many hours? How many days? 1 000 000 ÷ 60 = 16 666.66667 minutes 16 666 minutes and 0.66667 of a minute0.66667 x 60 = 40 secs 16 666 ÷ 60 = 277.76667 hours 277 hours and 0.76667 of an hour0.76667 x 60 = 46 mins 277 ÷ 24 = 11.541667 11 days and 0.541667 of a day0.541667 x 24 = 13 hours Answer: 11 days, 13 hours, 46 minutes and 40 seconds What about 10 million seconds?

25 Objectives – how have we done? Use a calculator efficiently Use the function keys for powers, roots, brackets and memory Deal with remainders using a calculator

26 Thank you for your attention

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