TEACHING MANUAL (LESSON PLAN)

CURRICULAR STATEMENTThe pupil understands the facts “for the numbers a, b, p, q; if a/b= p/q,

then aq=bp”. On the other hand, “if aq=bp and also b≠0, q≠0, then a/b= p/q” and “for the numbers a, b, p, q; if a/b= p/q, then a/p= bq”.CONTENT ANALYSIS

NEW TERMS: Rational numbersFACTS : For the numbers a, b, p, q; if a/b=p/q, then aq=bp.CONCEPT : Concept of rational numbers.PROCESS : Process of understanding the statements.

CURRICULAR OBJECTIVETo understand the statements

1. For the numbers a, b, p, q; if a/b=p/q, then aq=bp.2. If aq=bp and also b≠0, q≠0, then a/b= p/q.3. For the numbers a, b, p, q; if a/b= p/q then a/p= b/q.

LEARNING OUTCOMESThe pupil

1. gives illustration for mathematical principles2. detects error in definitions3. explains mathematical principles in his own words4. compares related mathematical concepts5. establishes relationships among the data6. reads literature on mathematics from books, journals, magazines and news

papers 7. develops a skill in computation8. does written calculations with speed and accuracy9. discusses mathematical problems with other students10.take pleasure in solving mathematical problems

Name of the teacher: Deepa. J Name of the school: St.Stephen HSSSubject : Mathematics Standard : IXUnit : Rational Numbers Strength : 34Subunit : Equal Fractions Date : 05/08/2014 Time : 45’

PRE-REQUISITESPupils have knowledge on multiplication and division.

TEACHING-LEARNING RESOURCESUsual classroom aids

LEARNING STRATEGIESMeaningful verbal explanation, discussion, observation

INTRODUCTION Activity-1

PRESENTATION Activity-2

36/48=18/24= 9/12= 3/4

42/56= 21/28= 3/4

∴36/48= 42/56.

(B.B)

Activity-3

a/b= p/q∴a/b ÷ p/q=1a/b x q/p= 1aq/ bp= 1

Teacher checks the previous knowledge about the chapter “rational numbers”

Teacher asks the pupil to solve the problem “how do we check whether 36/48 and 42/56 are different forms of the same fraction?

Teacher gives the answer;36/48= (2x18)/(2x24)= 18/24= (2x9)/(2x12)= 9/12= (3x3)/(3x4)= 3/4

42/56= (2x21)/(2x28)= 21/28= (7x3)/(7x4)= 3/4

∴ 36/48= 42/56

Teacher explains the easy method

Suppose a/b=p/qHere a/b and p/q are different forms of the same number.A number divided by itself is 1.So, a/b divided by p/q should be 1.

∴a/b ÷ p/q=1a/b x q/p= 1

Pupil will respond

Pupil will listen

Pupil will listen and write

CONTENT/ MAJOR CONCEPTS CLASSROOM INTERACTION EXPECTED PROCEDURE RESPONSE

∴aq= bp Here b≠0, q≠0.

Activity- 4

187x247= 46189221x209= 46189∴187/209= 221/247

Activity- 5

Suppose a/b= p/qaq= bpaq/bp= 1a/p x q/b= 1a/p÷ b/q= 1a/p= b/q

CLOSUREActivity- 6

REVIEWActivity-7

FOLLOW UP ACTIVITY

aq/ bp= 1aq= bp Here b≠0, q≠0generally, “for the numbers a, b, p,

q; if a/b= p/q, then aq=bp. On the other hand if aq= bp and also b≠0, q≠0, then a/b= p/q”.

Teacher asks the pupil to solve a problem “show that 187/209 and 221/247 are equal?”

Teacher gives the answer,If 187/209 and 221/247 are equal,

then 187x247 and 221x209 are equal187x247= 46189221x209= 46189∴187/209= 221/247

Teacher explains a noteSuppose a/b= p/qaq= bpaq/bp= 1a/p x q/b= 1a/p÷ b/q= 1a/p= b/q

that is, “for the numbers a, b, p, q; if a/b= p/q then a/p= b/q”.

Teacher once again explains the method to solve the problem.

Teacher asks the pupil to go through the steps and clear the doubts.

Show that the numbers 48/60 and 128/160 are equal?

Pupil will try

Pupil will do

Pupil will listen and write

Pupil will listen

Pupil will do.

Pupil will do.