1. Word cloud

120 seconds

Name two irrational numbers?

2. Slide

60 seconds

Irrational numbers are those that cannot be written as a simple fraction. Examples of irrational numbers are pi, square roots, and e. Unlike rational numbers, irrational numbers cannot be written in a finite number of digits.

Understanding Irrational Numbers

3. Slide

60 seconds

Irrational numbers are numbers that cannot be expressed as a fraction, and they cannot be written in a repeating or terminating decimal. Examples of irrational numbers are pi and the square root of any number that is not a perfect square. Rational numbers are the opposite of irrational numbers. They can be written as fractions, and they can also be written in a repeating or terminating decimal. Examples of rational numbers are fractions and whole numbers. Comparing irrational numbers can be done by looking at the decimal representation of the numbers. The larger the number, the further away the decimal representation will be from zero. Irrational numbers with decimal representations that are farther away from zero are larger than irrational numbers with decimal representations that are closer to zero.

Concepts:

4. Poll

60 seconds

Do you think irrational numbers are easy to compare and plot?

- Yes
- No
- Sometimes
- I'm not sure

5. Slide

60 seconds

The number pi is an irrational number, and has been calculated to over one trillion digits after the decimal point. The square root of two is also an irrational number, and can never be expressed as a fraction. It is impossible to solve an equation with an irrational number as the answer.

Did you know?

6. Open question

300 seconds

What is the difference between a rational and an irrational number?

7. Open question

300 seconds

What are some examples of irrational numbers?

8. Poll

90 seconds

What is a rational number?

- A number that can be expressed as a fraction
- A number that cannot be expressed as a fraction
- A number that can be expressed as a decimal
- A number that can be expressed as an integer

9. Poll

90 seconds

What is an irrational number?

- A number that cannot be expressed as a fraction
- A number that can be expressed as a fraction
- A number that can be expressed as a decimal
- A number that can be expressed as an integer

10. Poll

60 seconds

What is the smallest natural number?

- 1
- 0
- -1
- There is no smallest natural number.

11. Poll

60 seconds

Which of the following is a rational number?

- 4.358.....
- 𝞹
- √159
- 0.27

12. Poll

60 seconds

What is the square root of 64?

- 8
- -8
- 4
- -4

13. Poll

60 seconds

Which of these numbers is an irrational number?

- π (pi)
- 3.14
- 7/3
- 2.75

14. Poll

60 seconds

Which of the following is not a whole number?

- -11
- 0
- 4
- 15

15. Poll

60 seconds

What is the square root of 9?

- 3
- -3
- 9
- 0.5

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