LESSON ABOUT THE BASIC CONCEPTS OF IRRATIONAL NUMBERS

1. Introduction
to Irrational
Numbers
Mathematics 7
Mrs. Jay Ann B. Garcia
Subject Teacher

2. Father God,
Thank You for this new day and the
chance to learn. Help us understand
numbers, patterns, and problems.
Give us patience when it's hard, and
courage to keep trying. Bless our teacher and
classmates as we work together.
May we use what we learn to help others and grow
wise. Amen.

5. What is a rational
number?

7. 0.75

8. 2

11. e

13. By the end of the lesson, I will be
able to:
1. identify the square roots and
cube roots of perfect numbers.
2. define irrational numbers.
3. differentiate rational from
irrational numbers
Lesson
Objectives

14. M - Mind your manners.
A - Ask questions when needed.
T - Think before you speak.
H - Help others.
S - Stay focused.
Classroom
Rules

15. Essential Questions:
1. What makes a number irrational?
2. How to identify irrational
numbers?
3. How do irrational numbers appear
in
real life?

16. What is an Irrational
Number?
• numbers whose decimal forms go on forever without repeating
• cannot be written as a fraction
3.5
10%
-7
9
Rational
3
4
√2
- 10
√
π
0.4782364...
Irrational

17. Identifying Irrational Number
1. Check if the number is a fraction.
2. Look at the decimal form.
• Rational numbers have decimals that either
terminate or repeat.
• Irrational numbers have non-terminating, non-
repeating decimals.

18. Identifying Irrational Number
4. Recognize famous irrational numbers.
5. Use logic or a calculator.
3. Check for the roots of the numbers.

19. Activity 1: “Root Hunt!”
Identify whether the following numbers are rational or irrational and
shortly explain why.

20. Process Questions:
1. What makes a number irrational?
2. Can you give examples of irrational numbers
and explain why they are not rational?
3. If a number has a non-repeating, non-
terminating decimal, does that always
mean
it’s irrational? Why or why not?
4. Why do irrational numbers matter in real-
world applications like architecture or

21. Activity 2: “Irrational in Real Life”
Work in pairs to identify where irrational numbers
appear in real life and create an art based on what
you
have identified.

23. Assessment
(True/ False)
1. All square roots are irrational
numbers.
2. Irrational numbers cannot be
written as exact fractions.
3. The decimal form of an
irrational number goes on forever
without repeating.
4. π (pi) is an irrational number.
5. 49 is irrational because it has a
√
perfect square root.