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Fitness Tracker: Steps, Pulse, and Slope worksheet preview

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Fitness Tracker: Steps, Pulse, and Slope

Use fitness-tracker graphs and similar triangles to explain constant slope and derive equations for steps and heart rate.

Grade 8MathInteractive · Printable

Aligned to8.EE.B.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 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students use similar right triangles to explain constant slope along a nonvertical line.
  • Students derive equations of the forms y = mx and y = mx + b from slope-triangle relationships.
  • Students apply linear models to step counts and heart-rate records.

How to use

Have students annotate the slope triangles before answering. Discuss why a straight-line model can fit one interval without fitting an entire tracker recording.

Curriculum

Common Core standard covered

8.EE.B.6

Use similar triangles to explain why slope is the same anywhere on a line, and derive y = mx and y = mx + b.

Preview

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Name Date

Fitness Tracker: Steps, Pulse, and Slope

Connect similar slope triangles to step-count and heart-rate equations.

A Steady Step Count

Use the straight-line model for a steady walking interval. On this graph, x is time in minutes and y is steps in hundreds.

01234567812345678910OHPQKMinutesHundreds of steps
O, P, and Q lie on the same straight line. As scratch work, connect O to Q, then sketch legs OH, HP, PK, and KQ. These segments form slope triangles OHP and PKQ with horizontal and vertical legs.
1.
Select every statement that supports the similarity of triangles OHP and PKQ.

Angles OHP and PKQ are both right angles.The two triangles have equal vertical leg lengths.Angles HOP and KPQ are equal because the horizontal legs are parallel.The two triangles have equal horizontal leg lengths.

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