Understanding Irrational Numbers with Math Games

3 games

This series of math games is designed to teach students about irrational numbers, numbers that are not rational. The Understand Irrational Numbers learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance to your classroom, as demonstrated by research. This learning objective directly references 8.NS.A.1 as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and concepts.

Irrational Numbers: Concepts Covered

Any number—including fractions, percents, and square roots—can be written as a decimal. A repeating decimal can be converted into a fraction, and every fraction can be expressed as a repeating decimal. Over time, the decimal expansion of a fraction will always repeat.

A rational number is any number that can be written as a/b where a and b are integers and b≠0. An irrational number, on the other hand, cannot be expressed as a ratio of two integers. Its decimal form goes on infinitely without any repeating pattern.

Below is a preview of each game in this learning objective.

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Galaxy Escape Estimated Duration: 20 minutes 10 Bright Monsters have been captured in space and they need your help to cross the galaxy jumping between platforms, finding them, and releasing them by correctly answering each question. Each monster that you release and unlock will be available to play with in the next level, in the search for the next monster. In your journey, you’ll be able to find power-ups, like ‘Double points’ and ‘Slow down’, which can be activated by finding gems, and their duration can be extended by correctly answering a question. Unlock and release the 10 different monsters and a spaceship along 10 different levels, while you make the most possible points.

Robot Chef Estimated Duration: 18 minutes Congratulations, you are creating the first all-robot restaurant in the city! As you serve more customers, you will be able to build more robots to assist in delivering tasty treats. Attend Night School and answer questions to earn advanced robot chefs!

Adapt-O-Tron Estimated Duration: 15 minutes A.L.O, a friendly robot from the future has come back in time in need of your help! The animals of the future are not adapting and becoming extinct! Can you use A.L.O's Adapt-O-Tron to adapt the animals correctly, making them perfectly suited to their environments? Or will you end up with a wolf with a beak or a mouse with hooves!

Adapt Estimated Duration: 16 minutes In this game you will help your population endure the changing environment. Collect points to buy different genes that will change the population as reproduction cycles occur. Be careful and keep track of changes in temperature, food supply, and predators that will affect your population! Watch the timeline on the top to be aware of upcoming events, and keep an eye on the meters on the left for the overall health of your population.

Fling To Adapt Estimated Duration: 18 minutes Flinging madness! Master environment specific adaptations in this slingshot-filled puzzle game. Traverse diverse biomes whilst experiencing natural selection first hand.

Image for Adaptation Odyssey: The Cell Trail

Adaptation Odyssey: The Cell Trail Estimated Duration: 15 minutes Help a group of cells find food and adapt to prevail in a hostile environment.

Image for Adaptation through Natural Selection

Adaptation through Natural Selection Estimated Duration: 3 minutes This video highlights adaptation through natural selection is the process by which species evolve to fit their environments. Traits that enhance survival and reproduction become more common over generations, while less advantageous traits diminish. Adaptations can be physical or physiological, and behavioral. This process, described by Charles Darwin, highlights the importance of genetic variation for species to thrive in diverse and changing environments.