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School Solar Roof: Angle Investigation

Students use tracings, grids, and measurement records to investigate angle preservation in a school rooftop solar-panel project.

Grade 8MathInteractive · Printable

Aligned to8.G.A.1.b

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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, Circle the answer, Sorting, Short answer, Drawing

About this worksheet

What students practice

Students experimentally compare angle measures before and after rotations, reflections, and translations.
Students use angle preservation to evaluate transformed outlines in a rooftop solar-panel plan.
Students distinguish useful experimental evidence from incomplete tests of angle preservation.

How to use

Provide tracing paper, a ruler, and a protractor. Students should perform the tracing tests before answering, then discuss how the results support angle preservation.

Curriculum

Common Core standard covered

8.G.A.1.b

Check by experiment that rotations, reflections, and translations move angles to angles with the same measure.

Preview

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School Solar Roof: Angle Investigation

Test how moving a roof-plan outline affects its angles.

Tracing Station

These are flat outlines from a school rooftop solar-panel plan, not measurements of panel tilt. Use tracing paper and a protractor. Move the entire tracing without bending or stretching it.

Trace this corner of a cable-route outline. Turn the tracing counterclockwise until its lower ray points directly left. Compare your tracing with the choices. Which diagram has the same opening and the correct direction?

This corner belongs to an inspection-space outline. Trace it, then fold or flip the tracing across the horizontal line containing its right-pointing ray. Measure the smaller angle between the two rays on the flipped tracing.

The reflected corner measures °.

The connected segments show a corner in a panel-row outline. Trace the corner. Slide the tracing 2 grid units left and 3 grid units up. Draw the entire image on the grid. Label the images of K, L, and M as P, Q, and R. Compare the openings by sliding your tracing back.