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

In pairs: Select one task

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?

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