Download - © Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Cup of coffee.

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Page 1: © Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Cup of coffee.

© Nuffield Foundation 2011

Nuffield Free-Standing Mathematics Activity

Cup of coffee

Page 2: © Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Cup of coffee.

Cup of coffee

How long does the buzz from caffeinated drinks last?

Page 3: © Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Cup of coffee.

Cup of coffee Non-smoking adultt Coffee Tea0 125 451 111 392 98 343 87 304 77 265 69 226 61 197 54 178 47 159 42 13

10 38 1111 34 912 30 813 26 714 23 615 21 616 18 517 16 418 14 419 13 320 11 321 10 322 9 223 8 224 7 2

The amount of caffeine (mg) remaining in the body after t hours is measured from the time the caffeine level reached its peak value

Page 4: © Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Cup of coffee.

Which functions could be used to model these data sets?

Caffeine remaining for a non-smoking adult

How could you find the parameters?

0

20

40

60

80

100

120

140

5 10 15 20 25Time (hours)

Amou

nt o

f caff

eine

(mg)

CoffeeTea

Page 5: © Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Cup of coffee.

Reflect on your work

What types of functions did you use to model the data?

Which method of finding parameters did you use?Do you think it was the most effective?

How well did your models fit the data?Compare your models with those found by other students.

Cup of coffee

Which model gave the best fit?