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Roof Solar: Cloud-Shadow Trials worksheet preview

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Roof Solar: Cloud-Shadow Trials

Estimate probabilities from solar-panel cloud-shadow trials, examine long-run relative frequencies, and predict future trial results.

Grade 7MathInteractive · Printable

Aligned to7.SP.C.6

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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 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students estimate probabilities using relative frequencies from repeated chance trials.
  • Students describe how relative frequencies behave as the number of trials increases.
  • Students use estimated probabilities to predict counts in future trials.

How to use

Use after introducing relative frequency. Have students calculate estimates before comparing short and long trial records, then discuss why checkpoint totals cannot be added.

Curriculum

Common Core standard covered

7.SP.C.6

Estimate a probability by running a chance process many times and watching its relative frequency, then predict results.

Preview

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Name Date

Roof Solar: Cloud-Shadow Trials

Use repeated trials to estimate probabilities and plan solar-panel tests.

Read the Trial Evidence

A school is planning rooftop solar panels. Students safely test a small model indoors. For each independent trial, a simulator randomly selects a cloud-shadow pattern from the same library and runs it for 10 minutes. The panel angle and equipment stay unchanged. A trial meets the energy target if the panel produces at least 8 watt-hours (Wh).

1.
One trial produces exactly 8 Wh. How should the students record it?
  • A. It needs a repeat because its output equals the cutoff.
  • B. It meets the target because its output is at least 8 Wh.
  • C. It misses the target because its output must exceed 8 Wh.
  • D. It counts as half a success because it is on the cutoff.
2.
These are the energy outputs from the first 12 trials, in Wh:
9, 6, 8, 7, 10, 8, 5, 9, 6, 8, 7, 9

Estimate the probability of meeting the target. Write a fraction.  

3.
The students then conduct a separate session of 240 trials.
Energy Outputs: Separate Session
Energy outputTrials
Less than 6 Wh24
6 to less than 8 Wh48
8 to less than 10 Wh108
10 Wh or more60

Using this session, estimate the probability of meeting the target. Write a decimal.  

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