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Hiking Routes: Paths and Elevation Outcomes

Organize hiking route sample spaces with lists, tables, and tree diagrams, then identify events using trail and elevation conditions.

Grade 7MathInteractive · Printable

Aligned to7.SP.C.8.b

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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, Drawing

About this worksheet

What students practice

Students represent compound-event sample spaces using organized lists, tables, and tree diagrams.
Students identify route outcomes that satisfy trail and elevation conditions.
Students distinguish different route outcomes that have the same total elevation change.

How to use

Have students trace each route before recording its code. Use the final section to check how trail restrictions affect the sample space.

Curriculum

Common Core standard covered

7.SP.C.8.b

List the sample space of a compound event with organized lists, tables, and tree diagrams, and find the outcomes in the event.

Preview

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Name Date

Hiking Routes: Paths and Elevation Outcomes

Organize possible routes and identify the outcomes that meet each condition.

1. Two-Leg Trail Map

Use this map for Questions 1–4. A hiker randomly chooses a first trail, then a second trail. Every first trail connects to both second trails. Record the first trail letter before the second trail letter.

Trail map: Start → A, B, or C → Junction → X or Y → Finish.
Positive elevation changes mean climbing; negative changes mean descending.