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, roots, brackets and memory

• Deal with remainders using a calculator

Estimation jigsaw M4.1

2.3 x 5.8 5130 ÷ 95 32 x 3.8 371.2 ÷ 5.8

1421 ÷ 29 6.5 x 9.8 2769 ÷ 71 38 x 68

51 x 61 1769 ÷ 29 71 x 19 44.89 ÷ 6.7

2511 ÷ 81 49 x 64 345.8 ÷ 91 49 x 51

63.7

64

2584

2499

13.34

49

54

121.6

39

1349

6.7

61

3111 31 3.8

3136

Estimate: 49 x 51

What about the units column?

So the answer is about

With a digit column of

Estimation jigsaw M4.1

2.3 x 5.8 5130 ÷ 95 32 x 3.8 371.2 ÷ 5.8

1421 ÷ 29 6.5 x 9.8 2769 ÷ 71 38 x 68

51 x 61 1769 ÷ 29 71 x 19 44.89 ÷ 6.7

2511 ÷ 81 49 x 64 345.8 ÷ 91 49 x 51

63.7

64

2584

2499

13.34

49

54

121.6

39

1349

6.7

61

3111 31 3.8

3136

Estimation jigsaw M4.1

2.3 x 5.8 5130 ÷ 95 32 x 3.8 371.2 ÷ 5.8

1421 ÷ 29 6.5 x 9.8 2769 ÷ 71 38 x 68

51 x 61 1769 ÷ 29 71 x 19 44.89 ÷ 6.7

2511 ÷ 81 49 x 64 345.8 ÷ 91 49 x 51

63.7

64

2584

2499

13.34

49

54

121.6

39

1349

6.7

61

3111 31 3.8

3136

Estimation jigsaw M4.1

2.3 x 5.8 5130 ÷ 95 32 x 3.8 371.2 ÷ 5.8

1421 ÷ 29 6.5 x 9.8 2769 ÷ 71 38 x 68

51 x 61 1769 ÷ 29 71 x 19 44.89 ÷ 6.7

2511 ÷ 81 49 x 64 345.8 ÷ 91 49 x 51

63.7

64

2584

2499

13.34

49

54

121.6

39

1349

6.7

61

3111 31 3.8

3136

Estimation jigsaw M4.1

2.3 x 5.8 5130 ÷ 95 32 x 3.8 371.2 ÷ 5.8

1421 ÷ 29 6.5 x 9.8 2769 ÷ 71 38 x 68

51 x 61 1769 ÷ 29 71 x 19 44.89 ÷ 6.7

2511 ÷ 81 49 x 64 345.8 ÷ 91 49 x 51

63.7

64

2584

2499

13.34

49

54

121.6

39

1349

6.7

61

3111 31 3.8

3136

Estimate: 1769 ÷ 29

The answer is about:

Estimation jigsaw M4.1

2.3 x 5.8 5130 ÷ 95 32 x 3.8 371.2 ÷ 5.8

1421 ÷ 29 6.5 x 9.8 2769 ÷ 71 38 x 68

51 x 61 1769 ÷ 29 71 x 19 44.89 ÷ 6.7

2511 ÷ 81 49 x 64 345.8 ÷ 91 49 x 51

63.7

64

2584

2499

13.34

49

54

121.6

39

1349

6.7

61

3111 31 3.8

3136

(60)

Estimation jigsaw M4.1

2.3 x 5.8 5130 ÷ 95 32 x 3.8 371.2 ÷ 5.8

1421 ÷ 29 6.5 x 9.8 2769 ÷ 71 38 x 68

51 x 61 1769 ÷ 29 71 x 19 44.89 ÷ 6.7

2511 ÷ 81 49 x 64 345.8 ÷ 91 49 x 51

63.7

64

2584

2499

13.34

49

54

121.6

39

1349

6.7

61

3111 31 3.8

3136

Estimation jigsaw M4.1

2.3 x 5.8 5130 ÷ 95 32 x 3.8 371.2 ÷ 5.8

1421 ÷ 29 6.5 x 9.8 2769 ÷ 71 38 x 68

51 x 61 1769 ÷ 29 71 x 19 44.89 ÷ 6.7

2511 ÷ 81 49 x 64 345.8 ÷ 91 49 x 51

63.7

64

2584

2499

13.34

49

54

121.6

39

1349

6.7

61

3111 31 3.8

3136

(60)

1769 ÷ 29

Possible answers: 61, 63 .7, 64

Are any of the answers more likely - discuss with a partner

Estimation jigsaw M4.1

2.3 x 5.8 5130 ÷ 95 32 x 3.8 371.2 ÷ 5.8

1421 ÷ 29 6.5 x 9.8 2769 ÷ 71 38 x 68

51 x 61 1769 ÷ 29 71 x 19 44.89 ÷ 6.7

2511 ÷ 81 49 x 64 345.8 ÷ 91 49 x 51

63.7

64

2584

2499

13.34

49

54

121.6

39

1349

6.7

61

3111 31 3.8

3136

•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:

On your calculator try the following calculations:

2345 – (23 x 21)

5³ - (87 -19)²

(23 x 47) – (178 ÷ 4)

( 46 + 19)

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

• 1

• 2

• 3

• 4 Packets 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 problems M4.2

63.2 9.568.2 (3.5 1.49)

(43.6 17.93)3 4.68

(23 37) (42 17)

• 1

• 2

• 3

• 4 Packets 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 problems M4.2

63.2 9.568.2 (3.5 1.49)

(43.6 17.93)3 4.68

(23 37) (42 17) 137

16913.055

93.09584

• 1

• 2

• 3

• 4 Packets 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 problems M4.2

63.2 9.568.2 (3.5 1.49)

(43.6 17.93)3 4.68

(23 37) (42 17) 137

16913.055

93.09584

4 Packets 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

• 1

• 2

• 3

• 4 Packets 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 problems M4.2

63.2 9.568.2 (3.5 1.49)

(43.6 17.93)3 4.68

(23 37) (42 17) 137

16913.055

93.09584

5 How 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

5 How 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 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

What about 10 million seconds?

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

Thank you for your attention