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School Roof Solar Project: Connection Audit worksheet preview

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School Roof Solar Project: Connection Audit

Find and compare coordinate distances while checking solar panel connections, diagonal supports, and roof layout measurements.

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
  • 13 questions
  • Classroom-ready

Details

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

About this worksheet

What students practice

  • Students use coordinate differences and the Pythagorean Theorem to find straight-line distances.
  • Students apply coordinate distances to evaluate solar panel connections and layout measurements.
  • Students explain why differences of squared distances do not give differences of distances.

How to use

Use after introducing the Pythagorean Theorem on a coordinate plane. Have students show their calculations on separate paper and use a calculator only when rounding is requested.

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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School Roof Solar Project: Connection Audit

Use coordinate distances to check the solar panel layout.

Read the Roof Layout

Each diagram shows a separate part of the school's solar panel project. Unless stated otherwise, coordinates are measured in meters. All distances are straight-line distances.

1.
Connection points P and Q will be joined by a cable. First find the square of the distance between them.−5−4−3−2−1123450−5−4−3−2−112345PQ

If the distance is d meters, d² =  .

2.
What is the exact distance between the sensor mounts S and T?−5−4−3−2−1123450−5−4−3−2−112345ST
  • A. 7 m
  • B. √29 m
  • C. 29 m
  • D. √13 m
3.
A panel connection is at (−4, 3), and a control box is at (2, −1). Which third vertex makes a right triangle whose legs are horizontal and vertical and whose hypotenuse joins these two points?
  • A. The third vertex is (2, 3).
  • B. The third vertex is (−2, −1).
  • C. The third vertex is (−4, −3).
  • D. The third vertex is (3, 2).

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