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Ridgewalk: Maps and Elevation Rates worksheet preview

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Ridgewalk: Maps and Elevation Rates

Find constants of proportionality in hiking maps, elevation diagrams, tables, graphs, equations, and trail descriptions.

Grade 7MathInteractive · Printable

Aligned to7.RP.A.2.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 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students find constants of proportionality in tables, graphs, equations, diagrams, and descriptions.
  • Students interpret proportionality constants using the stated input, output, and units.
  • Students compare hiking rates represented in different forms.

How to use

Use after introducing y = kx. Have students identify the input and output before calculating each constant, then discuss the final reasoning task.

Curriculum

Common Core standard covered

7.RP.A.2.b

Find the constant of proportionality in tables, graphs, equations, diagrams, and word descriptions.

Preview

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Name Date

Ridgewalk: Maps and Elevation Rates

Find and interpret constants of proportionality for a hiking trip.

Map and Trip Planning

For each proportional relationship, use y = kx. Pay attention to which quantity is x and which is y.

1.
A hiking club measures routes on its trail map. Which calculation gives k in kilometers per centimeter?
Trail Map Scale
Map length, x (cm)Trail length, y (km)
21.5
64.5
107.5
  • A. k = 4.5 ÷ 6 = 0.75.
  • B. k = 4.5 − 1.5 = 3.
  • C. k = 6 − 4.5 = 1.5.
  • D. k = 6 ÷ 4.5 = 4/3.
2.
For a steady walking pace, the planner records minutes as the output. Find the constant of proportionality.
Walking Time Estimate
Distance, x (km)Time, y (min)
0.59
1.2522.5
236

k =   minutes per kilometer

3.
On a level stretch, Priya walks 2 1/4 kilometers in 3/4 hour at a steady pace. Her planning app needs distance y in kilometers as a function of time x in hours.

What constant should the app use? k =   kilometers per hour

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