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Game Studio: Balance Lines worksheet preview

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Game Studio: Balance Lines

Use similar slope triangles to derive linear equations and check level and score models for a video game studio.

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
  • 13 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 why slope is constant along a nonvertical line.
  • Students derive y = mx and y = mx + b from ratios of vertical and horizontal changes.
  • Students apply slope and intercepts to video game level and score models.

How to use

Have students mark corresponding triangle legs before answering. Use the final section to check whether they can connect slope and intercepts to new game models.

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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Game Studio: Balance Lines

Use similar triangles to build and check linear score models.

1. Check the balance graph

A studio graphs a score adjustment y against a difficulty adjustment x. Negative values represent reductions. Points A, B, and C lie on one straight line. Use right triangles AHB and BKC; legs HB and BK are not drawn.

−6−5−4−3−2−11234560−6−5−4−3−2−1123456HABCKxy
1.
Select all statements supported by the graph and triangle similarity.

The horizontal leg BK is twice as long as AH.The vertical leg KC is three times as long as HB.Both triangles have a vertical-leg-to-horizontal-leg ratio of 2/3.The triangles are similar because both have a right angle and equal angles with the diagonal.

2.
A third right slope triangle follows the same diagonal beyond the graph. Its horizontal change to the right is 9 units. Use similarity with triangle BKC.

What is its vertical change?   units

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