OUR MATH'S PROJECT

Shama Ali

Adari Juma

Khadija Ahmed

Nouf Moh.

INTRODUCTIONTo calculate your Target Heart Rate, subtract your age from 220 and then multiply that number by .5 and .85 to find 50% and 85% of your maximum heart rate—the heart rates that bound your target heart rate zone. This is the range that you will be aiming for during physical activity.

ANIMATION

Movie

WHAT WILL YOU NEED ?

STEPSIn order to find your heart

rate, you’ll need to be able

to find your pulse. The two

easiest places to find a

pulse are at the carotid

artery in the neck and the

radial artery in the wrist.

Choose an activity which you can do at a moderate

pace for at least 5 minutes without stopping .

Take your clock, paper and pencil.

Take your pulse (at wrist or neck) by counting your

heartbeats for 15 seconds (see additional handout,

Taking Your Pulse, if available). Multiply by 4 to get

beats per minute (BPM). We will consider this to be

your resting heart rate. Write it down.

MAKE A CHART

PLOT *Let the y values be average heart rate for your group in

beats per minute.

*Let x be the number of minutes after you stopped

exercising.

PLOT

WHAT DOES THIS DATA LOOK LIKE ?

It looks like a straight line.

Write down the general form for a

quadratic function, f(x).

F(x)=mx+b

• Using the general form of f you wrote down in Step 8, evaluate f at x=0,1,2; in other words, write down expressions for f(0), f(1), and f(2). (There will be unknowns.)

Minutes after exercise (x)

Recorded heart rate

f(x)

0 f(x)=-12(0)+137.3

137.3

1 f(x)=-12(1)+137.3

125.3

2 f(x)=-12(2)+137.3

113.3

1.If your model perfectly represented your

group’s average BPM at 1- minute intervals

after exercising (it probably doesn’t—that’s OK),

at what approximate time should f attain the

group’s average resting heart rate?

f is 5 minutes and 25 seconds

2.What happens to the function f after

this time? Is f still a reasonable estimator

of the group’s average BPM after this

time?

Yes it is, because 74.3 is somehow close to 65.3

f(x)= -12(5.25)+137.3

3.If the heart rate is in the range of at risk what

should one do, research the advantages of increasing

the target heart rate or decreasing the target heart

rate.

Raising your heart rate to just 50% of your maximum results in 85% of the calories you burn the upcoming fats.