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Music Festival: Tickets, Time, and Slope

Use festival ticket sales and stage schedules to explain constant slope with similar triangles and derive linear equations.

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, 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 corresponding triangle legs.
Students apply slope and intercepts to festival ticket sales and stage schedules.

How to use

Have students mark corresponding triangle legs before answering. Use the final explanation to check whether students can justify similarity, not just calculate ratios.

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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Music Festival: Tickets, Time, and Slope

Use similar triangles to connect constant slope with linear equations.

Ticket Sales Along One Line

Use the graph for questions 1–4. The sales line passes through A, B, and C. Triangles AHB and BKC are right slope triangles; sides AB and BK are not drawn.