Created by Brian Domroes
Which Animal is Faster?
Give reasons to support your answer.
A rate is a ratio comparing two different units
Examples: Dollars/week
Miles/hour
Beats/second
Rate: Definition and Examples
Cat and Mouse Simulation
What do graph lines really mean?
Go to www.explorelearning.com
Type in “Cat and Mouse”
Cat and Mouse
Click on “Launch Gizmo”
Play with the Variables
Exploration Activity Reviewed1. The line moves up the y axis 3 spaces.
2. Make the cat go as fast as possible.
3. Yes, if it has enough of a head start.
4. Parallel lines = same slope = same speed.
5.
Exploration Activity Reviewed
7 feet
6. The intersecting lines shows where the cat catches the mouse.
7. 20 feet
8. The more vertical the line, the faster the animal.
Exploration Activity Reviewed
9.
Exploration Activity Reviewed
What are your observations?
10.
Exploration Activity Reviewed
..
Cheetah Chase
Warthog and Sable
Impala and Hare
Interpreting the Graph
Top Speed of the Cheetah and its Prey
Look for points at exact coordinates
●
●
Align the triangles appropriately
y
x
130 feet in
y
x
Answers ReviewedLetter Slope (Rate of Change) Animal How did you calculate your answer?
A 130 feet2 second
Hare 430 – 300 = 130 feet 2 – 0 = 2 seconds
E Warthog
B Impala
420 feet4 seconds
Cheetah
D Sable
360 feet in
y
x
Answers ReviewedLetter Slope (Rate of Change) Animal How did you calculate your answer?
A 130 feet2 second
Hare 430 – 300 = 130 feet 2 – 0 = 2 seconds
E 360 feet or 45feet8 seconds second
Warthog 400 – 40 = 360 feet8 – 0 = 8 seconds
B Impala
420 feet4 seconds
Cheetah
D Sable
180 feet in
y
x
Answers ReviewedLetter Slope (Rate of Change) Animal How did you calculate your answer?
A 130 feet2 second
Hare 430 – 300 = 130 feet 2 – 0 = 2 seconds
E 360 feet or 45feet8 seconds second
Warthog 400 – 40 = 360 feet8 – 0 = 8 seconds
B 180 feet or 90 feet2 seconds 1 second
Impala 360 – 180 = 180 feet2 – 0 = 2 seconds
420 feet4 seconds
Cheetah
D Sable
420 feet in
y
x
Answers ReviewedLetter Slope (Rate of Change) Animal How did you calculate your answer?
A 130 feet2 second
Hare 430 – 300 = 130 feet 2 – 0 = 2 seconds
E 360 feet or 45feet8 seconds 1 second
Warthog 400 – 40 = 360 feet8 – 0 = 8 seconds
B 180 feet or 90 feet2 seconds 1 second
Impala 360 – 180 = 180 feet2 – 0 = 2 seconds
C 420 feet4 seconds
Cheetah 420 – 0 = 420 feet 4 – 0 = 4 seconds
D Sable
200 feet in
y
x
Answers ReviewedLetter Slope (Rate of Change) Animal How did you calculate your answer?
A 130 feet2 second
Hare 430 – 300 = 130 feet 2 – 0 = 2 seconds
E 360 feet or 45 feet8 seconds 1 second
Warthog 400 – 40 = 360 feet8 – 0 = 8 seconds
B 180 feet or 90 feet2 seconds 1 second
Impala 360 – 180 = 180 feet2 – 0 = 2 seconds
C 420 feet4 seconds
Cheetah 420 – 0 = 420 feet 4 – 0 = 4 seconds
D 200 feet or 50 feet4 seconds 1 second
Sable 320 – 120 = 200 feet4 – 0 = 4 seconds
1. The change in y compared to change in x.
2. The Impala is 2nd fastest.
3. The Sable and the Warthog.
Answers Reviewed
Revisit the Original Question
The End