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Weather Station: Sensor Equations

Write proportional equations from weather-station tables, sensor tests, and rainfall records, and explain when a model applies.

Grade 7MathInteractive · Printable

Aligned to7.RP.A.2.c

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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, Matching, Short answer

About this worksheet

What students practice

Students write proportional equations from measurement tables and descriptions.
Students choose the correct rate and variable order when modeling sensor measurements.
Students explain when a constant-rate rainfall equation applies.

How to use

Use after introducing the constant of proportionality. Have students label each rate with units before completing the equations, then discuss the final model's limits.

Curriculum

Common Core standard covered

7.RP.A.2.c

Write equations for proportional relationships, such as total cost t = pn for n items at price p.

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Name Date

Weather Station: Sensor Equations

Build proportional models for rainfall and temperature measurements.

Rainfall Measurements

Use the stated measurement rules. For each equation, check which quantity is the input and which is the output.

A tipping-bucket rain gauge sends one pulse whenever its bucket tips. Each tip represents the same rainfall depth.

Rain Gauge Record
Pulses, n	Rainfall, r (mm)
8	1.6
15	3
24	4.8

Complete the equation for rainfall: r = n.

A second gauge records 0.25 mm of rainfall per pulse. Let r be rainfall in millimeters and n be the number of pulses. Which equation gives n in terms of r?

A. n = r + 0.25
B. n = 4r
C. n = r/4
D. n = 0.25r

During a calibration test, a collector catches 35 mL of water for every 2 mm of rainfall. Volume stays proportional to rainfall depth. Let v be collected volume in milliliters and r be rainfall depth in millimeters. Which equation models the collector?