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Community Water Lab: The Estimate Bench worksheet preview

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Community Water Lab: The Estimate Bench

Estimate irrational water-lab calculations, compare rational bounds, locate values on number lines, and evaluate expressions involving π².

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, Circle the answer, Sorting, Short answer, Drawing

About this worksheet

What students practice

  • Students use rational bounds to estimate and compare irrational numbers.
  • Students locate irrational numbers on number lines using rational approximations.
  • Students estimate expressions involving square roots and π² in lab contexts.

How to use

Use after introducing rational bounds for irrational numbers. Have students show square comparisons on separate paper and discuss the final explanation.

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.

Preview

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Name Date

Community Water Lab: The Estimate Bench

Use rational estimates to interpret water-quality calculations.

Estimate the Readings

A community science lab calculates water-quality readings and calibration values. Treat the formulas as given. Use the supplied bounds without a calculator.

1.
A calculated dissolved-oxygen reading is √38 milligrams per liter. Use 6.164 < √38 < 6.165. Select every rational estimate that is less than 0.05 milligram per liter away from the exact reading.

6.106.126.206.22

2.
The lab calculates a pH value of √54. Use the square checks to round the value to the nearest tenth.
pH Estimate Checks
NumberSquare
7.353.29
7.3554.0225
7.454.76

Rounded pH value:  

3.
A sensor check produces the value √2.7. Use 1.64² = 2.6896 and 1.645² = 2.706025. The number 1.645 is halfway between 1.64 and 1.65.

Estimate √2.7 to the nearest hundredth:  

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