Lesson Plan Math Class 10 Ch1  Real Numbers
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lesson Plan Maths Class 10 Real Numbers
Lesson Plan in mathematics class 10 chapter 1 Number System. New Technology Integrated Lesson Planning in Mathematics for mathematics teacher.
Technology Integration Lesson Plan (CBSE Guidelines)
(with Constructivism
Elements)
Teacher
: XYZ 
School
:
XYZ 
Subject Area(s)
: Mathematics 
Grade Level /
Class : 10 ^{th} Grade 
Lesson Title/Topic :
Number System 
Estimated Duration: This
lesson is divided into eight modules and it is completed in eight class
meetings. Each class meeting should be of 40 minutes. 
Lesson
Goals/ Objectives: What
will students experience and be able to do as a result of this lesson or
project? 
Objectives ·
All definitions
related to the number system ( definition of natural number, whole numbers,
Integers, rational numbers, irrational numbers, Real numbers, odd numbers,
even numbers, prime numbers, coprime numbers, composite numbers). ·
Different types of
decimals (Terminating, Nonterminating but repeating, nonterminating
nonrepeating decimals) ·
Rational and
irrational decimals. ·
To find HCF by using
Euclid’s Division Algorithm (E.D.A.) ·
To find HCF and LCM of
numbers by using Fundamental Theorem of Arithmetics (F.T.A.) ·
Method of proving the
given number as irrational number. ·
Explanation of
terminating and non terminating decimals. ·
Method of converting
rational 
Curriculum
Addressed: What
specific curriculum learning outcomes will be addressed in this lesson or
project? 
Learning Outcomes After studying this lesson, students will be
able to explain and solve the problems related to the i) Euclid's Division Algorithm (EDA) and HCF
by EDA, ii) Fundamental Theorem of Arithmetic
and find LCM and HCF by using FTA iii) Students should know the method of
proving the given number is an irrational number. iv) Students will be able to explain that
given number is an irrational number, terminating decimal and non terminating
but repeating decimals. 
Technology
Addressed: What
technology skills and/or goals will be addressed in this lesson or
project? 
Technology used during
Lesson Planning

Technology
Required: What
software programs and hardware are needed for this lesson or project? 
Technology Required to
deliver the lesson

Other
Materials/ Resources: What
other materials will be needed to carry out the lesson objectives? What
resources will be needed including books, web page links and/or outside
speakers, etc.? 
Resources Basic points and formulas of Number System (Natural Number, Whole Numbers, Integers, Rational
numbers, irrational numbers, Real numbers) Knowledge of divisibility test to factorise All exercises of NCERT
Text Book Class 10 with examples. Assignment given by the teacher. Complete Family of
Number System Students can get step
by step knowledge about the number system from this figure. 
STUDENT
ENGAGEMENT What the student does that is consistent with this model:

Number system is used
everywhere in our day to day life. e.g To engage the students
in the teaching learning process, teacher can ask the questions related to
the following points : 1. Calling a member of
a family or a friend using mobile phone. 2. Calculating your
daily budget for your food, transportation, and other expenses. 3. Cooking, or
anything that involves the idea of proportion and percentage. 4. Weighing fruits,
vegetables, meat, chicken, and others in market. 5. Using elevators to
go places or floors in the building. 6. Looking at the
price of discounted items in a shopping mall. 7. Looking for
the number of people who liked your post on Facebook. 8. Switching the
channels of your favorite TV shows. 9. Telling time you
spent on work or school. 10. Computing the
interest you gained on your business. Teacher can engage the
student by showing VIDIO on the
NUMBER SYSTEM. Google Meet App : Teacher can use Google Meet App for
AudioVisual interaction with the students. 
STUDENT
EXPLORATION What the student does that is consistent with this model:

With this model students
become able to explain :

EXPLANATION What the student does that is consistent with this model:

Introduction Teacher will draw a number line and mark rational numbers on it.
Teacher will ask the class why there are gaps between two rational numbers.
After getting different answers from class, irrational numbers will be
introduced. As all the numbers can ‘not be represented in p/q form, where q ≠ 0 Difficulties in expressing length of the diagonals of certain
squares ( eg. Square of side 1 unit) in the form of rational numbers
led to the discovery of irrational numbers. Irrational numbers seems to fill
gap between rational numbers. Smart board content based on representation of irrational
numbers on number line will be shown. Real no. model will be used to show hierarchy of number system. Explanation Teacher should start
the topic with Introduction of number system, Definitions of all types of
numbers with explanations. Different types of decimals, terminating decimals,
nonterminating but repeating decimals, nonterminating nonrepeating
decimals, rational decimals and irrational decimals. Definitions of Lemma, Algorithm,
Euclid’s Division Lemma, and application of E. D. A 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 Explain the Method of finding the HCF by using
Euclid’s Division Lemma with two numbers and with three numbers. Definitions
of Fundamental Theorem of Arithmetic’s, 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. Fundamental Theorem of
Arithmetic: Every composite
number can be expressed as the product of primes and this factorization is
unique irrespective of their order.
Condition of denominator of a Rational Decimal: Denominator can
be expressed in the form 2^{m} x 5^{n} 
ELABORATION What the student does that is consistent with this model:

Elaboration

EVALUATION What the student does that is consistent with this model

Evaluation Techniques

Teacher
SelfAssessment: How
well did the lesson work overall? What were the strengths of the lesson? What
were the weaknesses of the lesson? How can I improve the lesson for next
time? 
Self Assessment
Techniques : Assignment having
three different levels which will include questions from direct application
of concept to logical thinking and higher order thinking skills.

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