1. Word cloud
120 seconds
What is the difference between rational and irrational numbers?
2. Slide
60 seconds
RATIONAL numbers can be written as a fraction, with a denominator that is not zero. Ex. 2/3 REPEATING DECIMALS are rational. 2.88888888888... TERMINATING DECIMALS are rational. 4.6, 7.31
Rational and Irrational Numbers
3. Slide
60 seconds
IRRATIONAL numbers are numbers that cannot be written as a simple fraction. Pi, e, √5 Rational and irrational numbers can both be represented on a number line.
Rational and Irrational Numbers
4. Slide
60 seconds
SQUARE ROOT What number times itself gives you the number in the radical sign? Ex. √ 36 is 6 and -6. √ 1/25 is 1/5 and -1/5 PERFECT SQUARE 1, 4, 9, 16,... CUBE ROOT What number times itself 3 times gives you the number in the radical sign? Ex. ∛8 is 2 PERFECT CUBE 1, 8, 27, 64,...
Rational and Irrational Numbers
5. Slide
60 seconds
Rational Numbers: a/b where b is not =0 Irrational Numbers: Numbers that cannot be written as a fraction. Real Numbers: All numbers that are rational or irrational. Real numbers are represented on the number line.
Concepts:
6. Slide
60 seconds
There is a special type of irrational number called a 'Transcendental number' which can't be expressed as a fraction. Examples of Transcendental numbers are Pi and Euler's number. Trigonometry and calculus use irrational numbers to calculate the values of lengths and angles in a triangle. The number φ (phi) is an irrational number that is often found in nature, called the golden ratio. It is the ratio of the length of a line segment divided by the length of the shorter segment and is equal to 1.618. Ex. Pineapples
Did you know?
7. Open question
180 seconds
Work together in pairs: What is the difference between a rational number and an irrational number? Give 3 examples of each
8. Personalised Feedback
360 seconds
Can you provide an example of a rational number and an irrational number?
9. Drawings
330 seconds
Brain break: Draw a monkey doing a backflip on a trampoline
10. Poll
60 seconds
Which of the following is an example of a rational number?
- 3/4
- π
- √2
11. Poll
60 seconds
What is the key characteristic of a rational number?
- It is always a whole number.
- It has an infinite decimal expansion.
- It can be expressed as a fraction or ratio.
12. Poll
60 seconds
√5 is an example of what type of number?
- Rational
- Irrational
- Integer
13. Poll
60 seconds
Can the square root of any whole number be a rational number?
- Yes, all square roots are rational numbers.
- Only prime numbers have irrational square roots.
- No, only some whole numbers have rational square roots.
14. Poll
60 seconds
Which one below belongs to the same group as 1/2, -3/4 and 7/8?
- Real Numbers
- Rational Numbers
- Irrational Numbers
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