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 Reviewed

1. 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 Reviewed

Letter 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 Reviewed

Letter 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 45feet

8 seconds second

Warthog 400 – 40 = 360 feet

8 – 0 = 8 secondsB Impala

420 feet4 seconds

Cheetah

D Sable

180 feet in

y

x

Answers Reviewed

Letter 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 45feet

8 seconds second

Warthog 400 – 40 = 360 feet

8 – 0 = 8 seconds

B 180 feet or 90 feet

2 seconds 1 second

Impala 360 – 180 = 180 feet

2 – 0 = 2 seconds

420 feet4 seconds

Cheetah

D Sable

420 feet in

y

x

Answers Reviewed

Letter 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 45feet

8 seconds 1 second

Warthog 400 – 40 = 360 feet

8 – 0 = 8 seconds

B 180 feet or 90 feet

2 seconds 1 secondImpala 360 – 180 = 180 feet

2 – 0 = 2 seconds

C 420 feet4 seconds

Cheetah 420 – 0 = 420 feet

4 – 0 = 4 secondsD Sable

200 feet in

y

x

Answers Reviewed

Letter 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 feet

8 seconds 1 second

Warthog 400 – 40 = 360 feet

8 – 0 = 8 seconds

B 180 feet or 90 feet

2 seconds 1 second

Impala 360 – 180 = 180 feet

2 – 0 = 2 seconds

C 420 feet4 seconds

Cheetah 420 – 0 = 420 feet

4 – 0 = 4 seconds

D 200 feet or 50 feet

4 seconds 1 second

Sable 320 – 120 = 200 feet

4 – 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