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Lesson Plan Math Class 8 | Exponents & Radicals CH-3
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E- LESSON PLAN SUBJECT MATHEMATICS CLASS- 8
E-LESSON PLAN MATHEMATICS
CLASS-VIII
CHAPTER-3 EXPONENTS & REDICALS
NAME OF THE TEACHER | DINESH KUMAR | ||||
CLASS | VIII | CHAPTER | 03 | SUBJECT | MATHEMATICS |
TOPIC | EXPONENTS & RADICALS | DURATION : 8 Class Meetings |
PRE- REQUISITE KNOWLEDGE:-
Whiteboard
or chalkboard, Markers or chalk, Worksheets or handouts, Calculators
(optional)
Learning objective:
Understand
the concept of exponents and radicals.
Apply
the rules of exponents and radicals to solve problems.
Simplify
expressions involving exponents and radicals.
Learning outcomes
Students
will comprehend that exponents represent repeated multiplication and radicals
represent the inverse operation of exponents.
They
will be able to identify the base, exponent, index, and radicand in expressions
involving exponents and radicals.
Students
will be able to use the product rule (a^{m} × a^{n} = a^{(m
+ n)}) and the quotient rule (a^{m} ÷ a^{n} = a^{(m -
n)}) to simplify expressions involving exponents.
They
will understand the power rule ((a^{m})^{n} = a^{(m × n)})
and apply it to calculate values.
They
will practice simplifying radicals with different indices, such as square roots
(√), cube roots (∛),
and fourth roots (∜).
Students
will be able to solve problems and apply the concepts of exponents and radicals
to real-world situations.
Students
will perform calculations involving exponents and radicals accurately and
efficiently.
Students
will explain their thought process and reasoning when simplifying expressions
with exponents and radicals.
By
achieving these learning outcomes, students will have a solid foundation in the
fundamental concepts of exponents and radicals, enabling them to progress to
more advanced topics in algebra and higher mathematics.
RESOURCES
NCERT Text Book,
A Text Book of DAV Board
Resource Material : Worksheets , E-content, Basics and formulas from (cbsemathematics.com)
KEY WORDS:
Algebraic Expressions, Exponents, Radicals,CONTENT OF THE TOPIC
In this topic we will discuss
the detailed explanation of the following Rules of Exponents and
Radicals
a) Product Rule: a^{m} ×
a^{n} = a^{(m + n)}
b) Quotient Rule: a^{m} ÷
a^{n} = a^{(m - n)}
c) Power Rule: (a^{m})^{n} =
a^{(m × n)}
PROCEDURE
Begin
the class by reviewing the concepts of multiplication and division. Ask
students to recall the properties of exponents, such as the product rule and
the quotient rule.
Write
a few simple multiplication and division problems on the board and ask students
to solve them.
Introduction to Exponents
Explain the concept of exponents, emphasizing that
they represent repeated multiplication.
Write
the following examples on the board:
a)
3^{2} = 3 × 3 = 9
b)
4^{3} = 4 × 4 × 4 = 64
c)
2^{4} = 2 × 2 × 2 × 2 = 16
Discuss
the base, exponent, and the value of each expression.
Highlight
the pattern and general rule for multiplying the base by itself for a given
number of times.
Rules
of Exponents
Introduce
the rules of exponents:
a)
Product Rule: a^{m} × a^{n} = a^{(m + n)}
b)
Quotient Rule: a^{m} ÷ a^{n} = a^{(m - n)}
c)
Power Rule: (a^{m})^{n} = a^{(m × n)}
Discuss
each rule with examples and encourage students to simplify the expressions.
Write
additional examples on the board and solve them as a class.
Introduction to Radicals
Define
the concept of radicals as the inverse of exponents.
Explain
that a radical is a way to represent the square root (√) or higher roots of a
number.
Write
the following examples on the board: a) √9 = 3 b) ∛27 = 3 c) ∜16 = 2
Discuss
the index, radicand, and the value of each expression.
Simplifying Radicals
Introduce
the concept of simplifying radicals.
Explain
the process of finding perfect squares and perfect cubes in the radicand.
Demonstrate
how to simplify radicals step-by-step:
a)
Identify perfect squares or perfect cubes in the radicand.
b)
Rewrite the radical as the product of the simplified radical and any remaining
terms.
Provide
examples on the board and solve them as a class.
Distribute worksheets or handouts with practice problems involving exponents and radicals.
Allow
students to work individually or in pairs.
Circulate
the classroom to provide assistance and clarify any doubts.
Encourage
students to simplify their answers whenever possible.
Conclusion and Review
Summarize
the key concepts covered in the lesson, including the rules of exponents and
the simplification of radicals.
Address
any questions or concerns from students.
Assign
additional practice problems for homework if necessary.
Note: The duration of each activity may vary
depending on the class's pace and the level of prior knowledge. Feel free to
adjust the timings and content as
Assessment:
THANKS FOR YOUR VISIT
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