Teaching notes exponents and powers

1. CHAPTER 2
EXPONENTS & POWERS

2. INTRODUCTION
Why are there so many numbers?
Video Tutorial - https://www.youtube.com/watch?v=XN2Cj8GuVbY
Irrational - 22 trillion digits of pi (𝝅)
Visit the page to see the digits - https://pi2e.ch/blog/2017/03/10/pi-digits-download/
Why rational numbers? (Real life applications)
 http://explainingmath.blogspot.com/2011/04/real-world-examples-for-rational.html

3. Children will be able to:
Describe properties of rational numbers & express them in general form
Consolidate operations on rational numbers
Represent rational numbers on a number line
Understand that between any two rational numbers there lies another
rational number (unlike whole numbers)
Generalize & verify properties of rational numbers (including identities)
Apply the logic on word problems
Objectives

4. What are rational numbers? https://www.youtube.com/watch?v=SQ4cB9yXkHM
Examples of rational numbers & their decimal representation will be shown.
Decimal representation of irrational numbers will also be shown here to distinguish rational numbers from them.
Activity – Exponent Jigsaw
Description: A jigsaw puzzle containing answers and a question paper containing the jigsaw puzzle pieces will be
given. Students should match them to the correct answers.
Instructions to Students:
 Students should bring glue, pencil/pen, scissors
 Students should sit in two groups, each group will receive a different puzzle
 The activity should begin only after the teacher instructs them to start
 Students should calculate exponents & powers given in the question paper & cut paste the respective
pieces in the correct places in the blank puzzle template.
 The question will be printed on the backside of each puzzle piece
Instructions to Teacher: (File link: Gauntlet_Activity_Quest.docx)
 Teacher should have the printout of both sets of puzzle & the answer set
 The picture formed from the two puzzles are given in the next slide
 Once completed, the puzzle answer sheets from both groups should be put on the wall on a chart paper.
 The instructions to solve the maze should be given clearly, only after which the students should begin
 Both groups will be given a tally, only after completion of the activity
DELIVERY OF LESSON

6. Closure property of Rational numbers
What does it mean? https://www.youtube.com/watch?v=F0L2FENoJOo
Problems related to closure property verification will be given to students to solve as homework
Why a number divided by zero is UNDEFINED?
Watch to know: https://www.youtube.com/watch?v=J2z5uzqxJNU
Commutative, Associative & Distributive properties, Identity & Inverse (Additive & Multiplicative)
Students will be questioned for which operation these properties would fail
On the green board, teacher will be giving examples demonstrating each property over each operation
Rational numbers on a Number line
Watch to know how? - https://youtu.be/G9n8HbMdUIk?t=2300
On the green board, teacher will demonstrate how to plot rational numbers on the number line.
Word document (link) will displayed on smart board for the students to finish the exercise on plotting rational numbers.
Students completing all the questions will be rewarded a tally
DELIVERY OF LESSON

7. Compare & Order rational numbers
Watch the video to know how:
Worksheet will be given for the students to solve. (worksheet link - print to be taken)
Students completing the worksheet will be given a tally
Rational numbers between two rational numbers
Watch the video to know how: https://www.youtube.com/watch?v=lg04THe8wfY
On the green board, teacher will consolidate methods to find single or many rational number for same or different
denominators with examples
Word document (link) will be displayed for the students to solve. Students completing all the questions will be given a tally
Chapter Practice Worksheet
Worksheet with all the topics on rational numbers will be provided for the students to solve in class.
Teacher may help/clarify during this practice session.
Students completing the worksheet will be given a tally.
DELIVERY OF LESSON

8. ADDITIONAL LEARNING OPPORTUNITY
 Why is 𝜋 so irrational? Watch to know: https://www.youtube.com/watch?v=HSuqbqENIek.
 Why scientists keep computing digits of pi?
 History of 𝜋 - https://www.youtube.com/watch?v=1-JAx3nUwms
 What to do with the digits of 𝜋? - https://youtu.be/zhqdIhYvFxU
 Digits of 𝜋 & uses - What to do with the digits of π.docx

9. SUMMARY
 Rational number general form:
𝑝
𝑞
where 𝑝, 𝑞 are integers and 𝑝 ≠ 0
 All integers and fractions are rational numbers
 To find rational number between two rational numbers, calculate their average
 There are infinitely many rational numbers between any two distinct rational numbers
 Comparing and ordering of rational numbers are done by comparing their numerators after making their
denominators common (by taking LCM)
 Decimal representation of rational number can either be terminating or non-terminating recurring
Operation
Property
Addition Subtraction Multiplication Division
Closure property ✓ ✓ ✓ ❌
Commutative ✓ ✓ ✓ ❌
Associative ✓ ✓ ✓ ❌
Existence of Inverse ✓ ✓
Existence of Identity ✓ ✓

10. EVALUATION
Class test will be held on the question paper given in this link  Click here
No. of questions - 14
Maximum marks - 20