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Student Opinion Poll: Distance Desk worksheet preview

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Student Opinion Poll: Distance Desk

Use the Pythagorean Theorem to compare student opinion scores on coordinate plots, check survey graphics, and evaluate claims.

Grade 8MathInteractive · Printable

Aligned to8.G.B.8

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What’s included

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

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Sorting, Short answer

About this worksheet

What students practice

  • Students use coordinate differences and the Pythagorean Theorem to find distances between response points.
  • Students compare exact and approximate distances to interpret and check survey graphics.

How to use

Have students sketch horizontal and vertical legs before finding distances. Allow a calculator for rounding questions, then discuss what distance can and cannot tell readers about opinions.

Curriculum

Common Core standard covered

8.G.B.8

Use the Pythagorean Theorem to find the distance between two points on a coordinate plane.

Preview

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Name Date

Student Opinion Poll: Distance Desk

Use coordinate distances to compare survey responses.

Read the Opinion Plots

The school newspaper surveyed opinions about two proposals. The x-coordinate rates a later lunch period; the y-coordinate rates a longer advisory period. Each rating runs from −5 (strongly oppose) to 5 (strongly support). Distance means straight-line distance between score points, measured in coordinate units—not a physical distance. Use the Pythagorean Theorem.

1.
The plot shows responses from two students. How far apart are their response points?−5−4−3−2−1123450−5−4−3−2−112345ABLunch ratingAdvisory rating

Distance:   units

2.
An editor draws a right triangle to find the distance between C and D. Which equation correctly gives that distance, d?−5−4−3−2−1123450−5−4−3−2−112345CD
  • A. d = 6 + 3
  • B. d² = 6² + 3²
  • C. d² = 2² + 3²
  • D. d² = 6² − 3²
3.
What is the exact distance between the response points E and F?−5−4−3−2−1123450−5−4−3−2−112345EF
  • A. √61 units
  • B. √13 units
  • C. 11 units
  • D. √11 units

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