8.NS.A.2

Mission: Irrational

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Game Info for Teachers

COMBINED RATING

3.9 Stars

TEACHERS (15)

4.1

STUDENTS (1837)

3.8

LENGTH

19 Minutes

GRADES

CAPABILITIES

iPad Support

Spanish Language Support

Text-to-Speech Support

Description

Help the Agency break into vaults and retrieve precious data crystals using your knowledge of irrational numbers!

Vocabulary Words

irrational number

rational number

number line

square root

range

repeating decimal

Instructions

Play through this interactive game to learn about Compare Irrational Numbers Using Approximations. Suitable for Grade 6, Grade 7, Grade 8.

Main Concepts

All numbers (including fractions, percents, square roots) can be expressed as a decimal.

An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.

A rational number is any number that can be represented as a/b where a and b are integers and b≠0.

Know that a fraction that is repeating can be converted to a fraction and fraction can be expressed as a repeating decimal.

Approximate locations of irrational numbers on the number line by rounding to a desired place value and placing between known locations.

In order to get more exact locations, you can expand the decimal to smaller place values.

Discussion Questions

Before the Game

What are irrational numbers? What are rational numbers? What is meant by the square root of a number? What is pi? Is pi rational or irrational and why?

After the Game

What is an example of an irrational number? What strategy did you use to estimate the square roots and break through the barriers? Why will a fraction never be converted into an irrational number? Can you ever pinpoint an exact spot on a number line where an irrational number should be placed and is this possible with rational numbers?

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