on go clap as fast as you...
TRANSCRIPT
U4 L4 Rate of Change (Fast Clapper) (Spring 2017) (completed).notebook
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On "GO" clap as fast as you can!
U4 L4 Rate of Change (Fast Clapper) (Spring 2017) (completed).notebook
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QUESTION: Are you a fast clapper?
Compe��on: Who is the fastest clapper?
> Clap as fast as you can for 10 seconds.
> Count how many claps you make!
READY! SET!...
U4 L4 Rate of Change (Fast Clapper) (Spring 2017) (completed).notebook
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DISCUSSION: Who thinks they had the most?
INQUIRY: a) Find out how many claps you can make in 1 second.
b) Find out how many claps you can make in 1 minute.
U4 L4 Rate of Change (Fast Clapper) (Spring 2017) (completed).notebook
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What are some things you no�ced?
U4 L4 Rate of Change (Fast Clapper) (Spring 2017) (completed).notebook
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QUESTION: Will he beat the record (721 claps in 60 seconds)?
PREDICTION:
INVESTIGATE:
In groups of 4, figure out if he will beat the record.
> Can you figure out the problem using mul-ple strategies?
U4 L4 Rate of Change (Fast Clapper) (Spring 2017) (completed).notebook
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What did you find? What strategies did you use?
Where you right?
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Graphing & Analytic Geometry
Day 4: Rate of Change
Learning Goal:
Students can connect to rate of change with the slope.
U4 L4 Rate of Change (Fast Clapper) (Spring 2017) (completed).notebook
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In the "Fast Clapper" ac-vity, you had to figure out the speed at which the guy
was clapping in order to see if he would break the record.
How did you do this? What was his clapping speed?
This means that, on average, he clapped __________ -mes per __________.
U4 L4 Rate of Change (Fast Clapper) (Spring 2017) (completed).notebook
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Speed is an example of a rate of change, because it is a rate that
refers to the change in dependent variable (number of claps) rela-ve to the
change in the independent variable (-me).
Other examples of rates of change: distance per hour
temperature per hour
change in volume of gas per km driven
Can you think of any more?
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EX. 1. a) A heron can travel an average of 400 km in 10 hours. What is its rate
of change?
b) Create a table of values for 10 hours and graph the data.
Time (h) Distance (km)
0 1 2 3 4 5 6 7 8 9 10
50
100
150
200
250
300
350
400
x
y
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EX. 2. This graph shows the height of a tree over a 4 year growing period.
Calculate the rate of change of the height per year. Show calcula-ons.
(0 , 1)
(3 , 7)
0 1 2 3 4 5
1
2
3
4
5
6
7
8
9
10
x
y
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EX. 3. Determine the rate of change using the table.
HINT: rate of change is
0 2
2 8
4 14
6 20
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SUMMARY:
Rate of change is the change in one quan-ty rela-ve to the change in
another.
A rate of change requires units, such as km/h (slope does not require
units).
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Practice: pg. 267 C2, #1, 4-7, 20 (challenge)