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Robot Drive Bench: Proportionality Checks worksheet preview

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Robot Drive Bench: Proportionality Checks

Students check robot-building and testing data for proportional relationships using equal ratios and straight-line graphs through the origin.

Grade 7MathInteractive · Printable

Aligned to7.RP.A.2.a

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 13 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students decide whether quantities in a table are proportional by comparing ratios.
  • Students check whether graphed quantities lie on a straight line through the origin.
  • Students justify proportionality decisions using robot-building and testing data.

How to use

Use after introducing proportional relationships. Have students mark ratio checks beside tables and trace straight-line paths on graphs before discussing the final explanation.

Curriculum

Common Core standard covered

7.RP.A.2.a

Decide whether two quantities are proportional by checking a table for equal ratios or a graph for a line through the origin.

Preview

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Robot Drive Bench: Proportionality Checks

Use tables and graphs to evaluate the robotics club’s test results.

Check the Build Records

Use all the rows when checking a table. Show ratio calculations in the space beside each question.

1.
The robotics club cuts wire for identical sensor connections. Which statement correctly evaluates the table?
Sensor Wiring
ConnectionsWire length (m)
20.7
51.75
82.8
103.5
  • A. The quantities are proportional because both columns increase in every row.
  • B. The quantities are proportional because every connection uses 0.35 meter of wire.
  • C. The quantities are not proportional because the wire lengths are decimals.
  • D. The quantities are not proportional because the connection counts have unequal gaps.
2.
A builder checks the ratio of mass to bracket count in the last row. Compare it with the other rows to check whether one constant ratio fits.
Mounting Brackets
BracketsTotal mass (g)
321
642
972

What is the last row’s mass per bracket?   g per bracket. Are the quantities proportional? Write yes or no:  

3.
The robot travels the same distance at different speed settings. Are speed and travel time proportional?
Fixed-Distance Trials
Speed (cm/s)Time (s)
524
1012
206
  • A. No; the time-to-speed ratios are 4.8, 1.2, and 0.3.
  • B. Yes; doubling speed always cuts travel time in half.
  • C. No; proportional quantities must always have equal values.
  • D. Yes; the speed multiplied by the time is always 120.

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