Lesson Plan Math Class 10 (Ch-1) | Real Numbers
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TEACHER : |
SCHOOL : |
SUBJECT : MATHEMATICS |
CLASS
: X STANDARD BOARD
: CBSE |
LESSON TOPIC / TITLE : CHAPTER 1: REAL NUMBERS |
ESTIMATED DURATION: This lesson is divided into seven
modules and it is completed in seven class meetings. |
Number system of class IX
Method of finding H.C.F. and L.C.M. of class VI and VII
Ability to factorize the numbers (Divisibility Test)
- Definition of natural number, whole numbers, Integers, rational numbers, irrational numbers, Real numbers, odd numbers, even numbers, prime numbers, co-prime numbers, composite numbers.
- Different types of decimals.
- Rational and irrational decimals.
- To find HCF by using EDA
- To find HCF and LCM of numbers by using FTA.
- Method of proving the given number as irrational number.
- Explanation of terminating and non terminating decimals.
S.No. |
PRESENTATION OF THE TOPIC |
1 |
Introduction First
of all teacher give complete knowledge of number system to the
students. Teacher will explain all the definitions of natural number, whole
number, integers, rational numbers, irrational numbers and real
numbers. Teacher
will also explain the following: even number, odd number, prime number,
composite number, co-prime number and twin prime numbers. For this teacher
may complete family of number system through charts or diagrams. |
2 |
Along
with the number system teacher will also explain the Decimal System. Different
types of decimals, terminating decimals, non-terminating but repeating
decimals, non-terminating non-repeating decimals, rational decimals and
irrational decimals. |
3 |
Now
teacher will introduce the Definitions of Lemma, Algorithm, Euclid’s Division
Lemma, and application of Euclid Division Algorithm in some word problems. Euclid's
Division Lemma: For given two positive integers a and b there exist
unique integers q and r such that a = bq + r , where 0 ≤ r
< b |
4 |
HCF by
using Euclid Division Lemma Explain
the Method of finding the HCF by using Euclid’s Division Lemma with two
numbers and with three numbers. Also apply this statement in some word
problems. |
5 |
Fundamental
Theorem of Arithmetic's Now
teacher will introduce F.T.A. as follows
H.C.F.
X L.C.M. = Product of two numbers.
Fundamental
Theorem of Arithmetic: Every composite number can be expressed as the product
of primes and this factorization is unique irrespective of their order. L.C.M:
Product of all factors with greatest power. H.C.F:
Product of common factors with smallest power. |
7 |
Explain
the Method of contradiction to prove that given number is an irrational
number. |
8 |
Method
of finding rational and irrational decimals without actual
division and method of converting the given rational number into decimal
form. Condition
of denominator of a Rational Decimal: Denominator can be expressed in the
form 2^{m} x 5^{n} |
- Review questions given by the teacher.
- Students can prepare a Presentation on the topic “prove that given number is irrational number”.
- Solve N.C.E.R.T. problems with examples,
- Solve assignment of Multiple Choice Questions (MCQ) given by the teacher.
Students can extend their learning through the RESOURCE CENTRE and can find more valuable and interesting concepts on mathematics at cbsemathematics.com
Students can also extend their leaning by watching this topic on video.
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Comments
Very nicely written
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Excellent
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ReplyDeleteWell defined and precisely covered all topics
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