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- Zach T.
Irrational Numbers Teacher Resources
Find teacher approved Irrational Numbers educational resource ideas and activities
Assess your class's knowledge of rational and irrational numbers with this worksheet, containing 10 different sets of problems. First, they have to explain and give an example that shows the difference between rational and irrational numbers. Then, they give an example of an absolute value inequality with no solution. They also compare and contrast domain and range.
Which numbers are rational and which are irrational? Play an initial speed round with a linked online game to see where kids are at with this concept (you should have already covered it at the basic level). Challenge scholars to consider how to graph irrational numbers (think about the fact that they never stop). The linked online explanation does a great job of illustrating this concept; however it is extremely text-heavy so you may want to address this yourself. Next, give kids some guided practice. You can use the online problems or the attached worksheet. Consider having kids go back to the original fast-paced online game to see if they improve. The "First Million Digits" link is interesting if you have some extra time, but the remediation links may not operate.
Eighth graders engage in a study of rational and irrational numbers and apply number sense to a variety of different problems. They examine numbers like non-repeating decimals, irrational roots, pi, and real numbers. The teacher shows the differences in the number systems.
Learners examine the definition of irrational numbers as a non-terminating number that does not end when written as a decimal. They examine how these numbers are converted to percentages, decimals, fractions and to scientific notation. Finally, they complete an independent student practice sheet.
This video defines rational numbers. Through the definition and examples, learners should comprehend that irrational numbers are numbers that cannot become simple fractions. The video uses examples of very common irrational numbers, such as pi, to back up their definition. Appropriate for in-class or at-home use.
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of simplified, unsimplified, and decimal expressions equivalent to each other. The lesson concludes with a discussion of the differences between squares and square roots.