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Makerspace Lending: Compare the Models worksheet preview

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Makerspace Lending: Compare the Models

Compare library makerspace functions represented by graphs, tables, equations, and words, including changing rates and signed balances.

Grade 8MathInteractive · Printable

Aligned to8.F.A.2

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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, Matching, Circle the answer, Short answer

About this worksheet

What students practice

  • Students compare rates of change and initial values across different function representations.
  • Students compare function outputs and use them to make makerspace lending decisions.
  • Students distinguish constant rates from changing rates using tables and graphs.

How to use

Use after students have practiced reading linear functions in several forms. Have students annotate rates and starting values, then discuss the signed-balance explanation.

Curriculum

Common Core standard covered

8.F.A.2

Compare properties of two functions shown in different ways, such as an equation, a graph, a table, or words.

Preview

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Name Date

Makerspace Lending: Compare the Models

Compare functions used to plan tool and kit loans at a library.

Prepare the Loans

Compare the models. Each question states whether its patterns are linear.

The library lends tool kits in two types of carrying cases. For both models, x is the number of kits and y is the total packed mass in kilograms. Both models are linear.
Hard case: y = 0.5x + 4
Rolling Case
Kits, xPacked mass (kg), y
15
39
513
1.

The rolling case's increase in packed mass per kit is how many times the hard case's increase?   times

2.
A borrower wants the lighter option. Which comparison is correct for packing 1 kit and for packing 5 kits?
  • A. The rolling case is lighter for both amounts.
  • B. The rolling case is lighter for 1 kit; the hard case is lighter for 5 kits.
  • C. The hard case is lighter for 1 kit; the rolling case is lighter for 5 kits.
  • D. The hard case is lighter for both amounts.

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