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3D Printing Club: Fit, Order, and Color worksheet preview

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3D Printing Club: Fit, Order, and Color

Find compound-event probabilities using connector dimensions, model print orders, and filament spool selections.

Grade 7MathInteractive · Printable

Aligned to7.SP.C.8.a

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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 compound-event probabilities by counting favorable outcomes in equally likely sample spaces.
  • Students distinguish ordered outcomes and adjust sample spaces when selection rules change.

How to use

Have students mark favorable outcomes before writing each probability. Discuss how changing the available spools changes the denominator in the final question.

Curriculum

Common Core standard covered

7.SP.C.8.a

Understand the probability of a compound event as the fraction of outcomes in the sample space where the event happens.

Preview

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Name Date

3D Printing Club: Fit, Order, and Color

Count the outcomes that meet each design requirement.

Connector Fit

A design simulator independently chooses a pin diameter from 3, 4, or 5 mm and a socket diameter from 4, 5, 6, or 7 mm. Each choice is equally likely, so all 12 ordered pairs below are equally likely. Write probabilities as fractions.

Outcomes: (pin diameter, socket diameter), in mm
Pin diameterSocket 4Socket 5Socket 6Socket 7
3(3, 4)(3, 5)(3, 6)(3, 7)
4(4, 4)(4, 5)(4, 6)(4, 7)
5(5, 4)(5, 5)(5, 6)(5, 7)
1.
The club calls a design an exact match when the pin and socket have equal diameters. Select every outcome that is an exact match.

(3, 4)(4, 4)(4, 5)(5, 4)(5, 5)(5, 6)

2.
For a moving joint, the socket diameter must be exactly 1 mm or 2 mm greater than the pin diameter.

What is the probability that the simulator produces a design meeting this requirement?  

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