 1. Word cloud
120 seconds
What is the difference between a rational and an irrational number?
2. Slide
60 seconds
Rational and Irrational Numbers
Rational numbers can be written in the form of a fraction, where the numerator and denominator are integers. Irrational numbers cannot be written as a fraction and have an infinite number of digits that never repeat. Rational numbers include integers, fractions, and decimals, while irrational numbers include square roots, pi, and e.
3. Slide
60 seconds
Rational and Irrational Numbers
Rational numbers: any number that can be expressed as a fraction of two integers, where the denominator is not equal to zero. Examples include integers, fractions, and decimals.
Irrational numbers: any number that cannot be expressed as a fraction of two integers, where the denominator is not equal to zero. Examples include pi, √2, and e.
Real numbers: any number that is either rational or irrational. Examples include all rational and irrational numbers.
4. Slide
60 seconds
Did you know?
In mathematics, irrational numbers are sometimes also known as 'surreal numbers' because they are so strange and difficult to understand. There is a mathematical constant called 'e' that is an irrational number, and it's approximately equal to 2.718. The square root of 2 is an irrational number, meaning it cannot be written as a fraction. This is because it is an 'irrational number', and not 'rational number', which can be written as a fraction.
5. Open question
300 seconds
What are some examples of rational and irrational numbers?
6. Open question
300 seconds
How can you tell if a number is rational or irrational?
7. Open question
300 seconds
What have you learned about rational and irrational numbers?
8. Open question
300 seconds
How do rational and irrational numbers differ from each other?
9. Drawings
450 seconds
Brain break: Draw a monkey juggling pineapples while sitting on top of a flying unicorn
10. Drawings
1260 seconds
Clues
Question: You and your partner are attempting to help a math student understand the difference between rational and irrational numbers. How can you help the student best understand the concept?
Rational numbers are numbers that can be written as a fraction, with a numerator and denominator. Irrational numbers are numbers that cannot be written as a fraction and contain an infinite number of digits. Rational and irrational numbers can both be positive or negative.
A: Work together and create a poster to help explain the difference between rational and irrational numbers. B: Work together and create a short skit that explains the difference between rational and irrational numbers.
11. Poll
60 seconds
Which of the following numbers is rational?
• √2
• 3/4
• π
12. Poll
60 seconds
What is the square root of 9?
• 3
• -3
• 6
13. Poll
60 seconds
'0.333333...' is an example of what type of number?
• Whole number
• Recurring decimal (rational)
• Irrational
14. Poll
60 seconds
Is √5 a rational or irrational number?
• Irrational
• Rational
15. Open question
180 seconds
Work together in pairs: What is the difference between rational and irrational numbers?