Lesson 4: What's my rate?

Lesson 4: What's my rate?

By Amy Hurley

Open Ended

Use what you have learned about rates so far to answer the following questions.

1. Terrence skated 8 feet in 4 seconds at a constant rate. How fast did he skate in feet per second?

Open Ended

Use what you have learned about rates so far to answer the following questions.

2. An elevator traveled from the 10th floor to the 2nd floor in 6 seconds. What was the rate of the elevator in floors per second

Open Ended

Use what you have learned about rates so far to answer the following questions.

3. A car traveled 300 miles in 6 hours. What was the car’s rate in miles per hour?

In today's lesson, you will focus on the following highlighted goals from this topic:

• Create motion graphs (distance vs. time) and investigate how changes in motion affect the graph

• Find rates for data in tables

• Find rates from graphs

Lesson preview

Open Ended

This graph models Terrence's movement while skateboarding.

How can you use the graph to find the skateboarder's rate during a specific time period?

Labeling

Fill in the table with the information from Terrence’s skateboarding.

You will use these points to calculate rates on the next page.

Drag labels to their correct position on the image

7

7

1

7

7

4

Agile Mind

You can open this webpage in a new tab.

Copy link

Open in new tab

Fill in the Blanks

Notice that the graph is horizontal from 4 seconds to 10 seconds. What was Terrence's rate then?

feet per second

Math Response

What is the rate for the skate modeled by this graph in feet per second?

Type answer here

Correct Answer: -\frac{1}{2}

Deg^°

Rad

Drag and Drop

Here is another graph that shows Terrence's movement while skateboarding. Fill in the blanks to complete the following statements about the different rates of change you see on the graph.

a. Segment ​

Placeholder

shows a rate of change of 0 ft/sec.

b. Segment ​

Placeholder

shows a negative rate of change.

c. Segment ​

Placeholder

shows a positive rate of change.

d. Looking at segment A, Terrence’s rate of change for the first 2 seconds was ​

Placeholder

.

e Looking at segment C, Terrence’s rate of change for the last 5 seconds was ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

B

A

C

-2 ft/sec

2/5 ft/sec

3 ft/sec

0 ft/sec

1 ft/sec

-1 ft/sec

5/2 ft/sec

Draw

The table shows the information for one of Terrence's skates.

Use the table to create a graph for this skate.

Fill in the Blanks

The table shows the information for one of Terrence's skates. Terrence was skating

feet per second.

Open Ended

Describe how you found the rates from the graphs.

Drag and Drop

Here is another graph that shows Terrence's movement while skateboarding. Can you interpret the graph to complete this puzzle about the different rates of change you see?

Segment ​

Placeholder

shows a rate of change of 0 ft/sec.

Segment ​

Placeholder

shows a negative rate of change.

Segment ​

Placeholder

shows a positive rate of change.

Looking at segment A, Terrence's rate of change for the first 2 seconds was ​

Placeholder

ft/sec.

Looking at segment C, Terrence's rate of change for the last 5 seconds was ​

Placeholder

ft/sec.

Drag these tiles and drop them in the correct blank above

B

A

C

-2

2/5

-1/2

2

5/2

Draw

The table shows the information for one of Terrence’s skates.

Time (sec) | Distance (ft)

0 | 2

1 | 4

2 | 6

3 | 8

Time (sec): 0 | 1 | 2 | 3

Distance (ft): 2 | 4 | 6 | 8

Use the table to create a graph for this skate. How fast was he skating? (answer this on the next slide)

Fill in the Blanks

Terrence was skating at a rate of

feet per second.

Drag and Drop

According to the graph, how fast were the elevators moving

Elevator A: ​

Placeholder

floor/sec

Elevator B: ​

Placeholder

floor/sec

Drag these tiles and drop them in the correct blank above

0

2

1

-1

-2

Drag and Drop

According to the graph, how fast were the elevators moving

Elevator A: ​

Placeholder

floor/sec

Elevator B: ​

Placeholder

floor/sec

Drag these tiles and drop them in the correct blank above

0

2

1

-1

-2

Here is a new situation involving rate. You probably know the fable The Tortoise and the Hare. With steady perseverance, the tortoise won that race. But the real story picks up after that first contest. After losing that race, the Hare challenges Tortoise to run three more 100-meter races. The winner will be the animal who wins the greatest number of races.

Complete the activity in your activity book. You will practice graphing rates as you investigate the further adventures of Tortoise and Hare.

Consolidation activity

Open Ended

An important idea from today’s lesson is …

Open Ended

Which activities from today’s lesson prepare you to successfully complete your homework?