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National Parks Road Trip: Estimate Before You Go

Estimate irrational numbers, locate them on number lines, and compare expressions while planning a national parks road trip.

Grade 8MathInteractive · Printable

Aligned to8.NS.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 use rational bounds to estimate and compare irrational numbers.
Students locate irrational numbers on number lines using decimal approximations.
Students estimate expressions involving square roots and pi.

How to use

Use for independent practice after introducing rational bounds. Have students show square comparisons on scratch paper and discuss the final rounding error.

Curriculum

Common Core standard covered

8.NS.A.2

Estimate irrational numbers with rational ones to compare them, place them on a number line, and estimate expressions like pi squared.

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Name Date

National Parks Road Trip: Estimate Before You Go

Use rational bounds to compare distances and check travel estimates.

Route Notes

A family is planning a road trip across national parks. Use the exact values in their planning notes. Work without a calculator; use square comparisons and the facts provided.

The family wants a scenic drive longer than 10 miles but shorter than 12 miles. Select every distance that meets both conditions.

√65 miles√105 miles√119 miles√145 miles

A map gives the distance between two stops as √52 miles. Which pair gives the tightest bounds supported by this table?