whose s ope is it anyway?

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