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Lesson Plan Math Class 10 (Ch-1) | Real Numbers
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TEACHER : DINESH KUMAR |
SCHOOL : RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR |
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.
HCF, LCM, GCD, Rational, Irrational, Euclid, Lemma, Algorithm, Terminating, Non-terminating etc.
- Euclid's Division Lemma and Algorithm (Deleted from CBSE)
- Fundamental theorem of Arithmetics
- Highest common factor (H.C.F.)
- Least common multiple (L.C.M.)
- Method of proving an irrational number
- Decimal Explanation of rational and irrational numbers.(Deleted from CBSE)
INTRODUCTORY ACTIVITY
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.
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.
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
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.
Fundamental Theorem of Arithmetic's
Teacher will introduce F.T.A. as follows
- Definitions of Fundamental Theorem of Arithmetic’s,
- Definition of L.C.M and H.C.F.
- Method of finding the HCF and L.C.M. by using F.T.A. and verification of the relation
H.C.F. X L.C.M. = Product of two numbers.
- Method of finding HCF and LCM of more then two terms by using F.T.A.
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.
Teacher will explain the Method of contradiction to prove that given number is an irrational number.
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
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