PSABM6VX - Student Facing Task---Acc7.5 Lesson 1 Understanding Proportional Relationships (8.EE.B, 8.EE.B.5)
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What do you notice? What do you wonder?

 

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Part A)

A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter.

 

 

1. Lines u and v also show the positions of the two bugs. Which line shows the ladybug’s movement?

 

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Part B)

Which line shows the ant's movement?

Select one:
Part C)

Explain your reasoning.

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Part D)

2. How long does it take the ladybug to travel 12 cm?

 

Do not include seconds (s) in your answer.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part E)

2. How long does it take the ant to travel 12 cm?

 

Do not include seconds (s) in your answer.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part F)

3. Scale the vertical and horizontal axes by labeling each grid line with a number. You will need to use the time and distance information shown in the tick-mark diagrams.

 

Draw your graph on paper, take a picture, and upload it using the image upload icon 

 

If you do not have the ability to upload an image of your work type "Graph is on paper."

 

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Part G)

4. Mark and label the point on line u and the point on line v that represent the time and position of each bug after traveling 1 cm.

 

Draw your graph on paper, take a picture, and upload it using the image upload icon 

 

If you do not have the ability to upload an image of your work type "Graph is on paper."

 

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Part A)

Are you ready for more?

 

How fast is each bug traveling?

 

Fill in the blank with your answer.

The purple bug (ant) is traveling at ___ cm/sec.

 

Do not include units (cm/sec) in your answer.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part B)

How fast is each bug traveling?
 
Fill in the blank with your answer.


The purple bug (ant) is traveling at ___ cm/sec.
 
Do not include units (cm/sec) in your answer.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part C)

2. Will there ever be a time when the purple bug (ant) is twice as far away from the start as the red bug (ladybug)? 

Select one:
Part D)

Explain or show your reasoning.

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Part A)

Refer to the tick-mark diagrams and graph in the earlier activity when needed.

Imagine a bug that is moving twice as fast as the ladybug. On each tick-mark diagram, mark the position of this bug.

 

Draw your graph on paper, take a picture, and upload it using the upload icon 

 

If you do not have the ability to upload an image of your work, type "Graph is on paper."

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Part B)

Plot this bug’s positions on the coordinate axes with lines and , and connect them with a line.

 

Draw your graph on paper, take a picture, and upload it using the upload icon 

 

If you do not have the ability to upload an image of your work, type "Graph is on paper."

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Part C)

Write an equation for each of the three lines.

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