Tuesday, June 7, 2011

LCM , HCF& Algebraic Fractions

                               LESSON PLAN

                                                           MATHEMATICS
Term:                                                                                                                       Grade:                                                                                  
Week:                                                                                                                        Periods:                                                                                                
From:
LESSON TITLE:        LCM , HCF& Algebraic Fractions



    PERIOD  1
Learning Objectives:
The students should be able to:
1.  recall the method of finding LCM of numbers.
2.  recognize the method of finding LCM of  algebraic expression
3.  correlate the method of finding LCM of numbers with that of algebraic expression.
4.  find the LCM of  algebraic expressions .
5.  simplify the answer after finding the LCM of  algebraic expression.
Key Vocabulary: Least Common Multiple, numbers, algebraic expression    
Key Questions: 
      1.  What does the abbreviation LCM stand for?
      2.  What is the LCM of 12 and 20?
      3.  What is the LCM of 100 and 135?
TEACHER ACTIVITY
STUDENT ACTIVITY

Ø  Finds the LCM of two numbers.
.
Ø  Finds the LCM of two algebraic expressions.
Ø  Facilitates in correlating the methods of finding LCM of numbers and algebraic expression.
Ø  Explains in detail using different examples the method of finding LCM of algebraic expressions.

Ø  Recalls the method of finding the LCM of two numbers.
Ø  Recognizes the method of finding the LCM of two algebraic expressions.

Ø   Correlates the methods of finding LCM of numbers and algebraic expression.

Ø  Finds the LCM of different algebraic expressions.





    PERIOD  2
Learning Objectives:
The students should be able to:
1.  recall the method of finding HCF of numbers.
2.  recognize the method of finding HCF of  algebraic expression
3.  correlate the method of finding HCF of numbers with that of algebraic expression.
4.  find the HCF of  algebraic expressions .
5.  simplify the answer after finding the HCF of  algebraic expression.
Key Vocabulary: Highest Common Factor, numbers, algebraic expression       
Key Questions: 
      1.  What does the abbreviation HCF stand for?
      2.  What is the HCF of 12 and 20?
      3.  What is the HCF of 100 and 135? 
TEACHER ACTIVITY
STUDENT ACTIVITY

Ø  Finds the HCF of two numbers.
.
Ø  Finds the HCF of two algebraic expressions.

Ø  Facilitates in correlating the methods of finding HCF of numbers and algebraic expression.
Ø  Explains in detail using different examples the method of finding HCF of algebraic expressions. 


Ø  Recalls the method of finding the HCF of two numbers.
Ø  Recognizes the method of finding the HCF of two algebraic expressions.

Ø   Correlates the methods of finding HCF of numbers and algebraic expression.

Ø  Finds the HCF of different algebraic expressions.






PERIOD  3
Learning Objectives:
The students should be able to:
1.  recall the method of finding HCF of numbers.
2.  recognize the method of finding HCF of  algebraic expression
3.  correlate the method of finding HCF of numbers with that of algebraic expression.
4.  find the HCF of  algebraic expressions .
5.  simplify the answer after finding the HCF of  algebraic expression.
Key Vocabulary: Highest Common Factor, numbers, algebraic expression       
Key Questions: 
      1.  What does the abbreviation HCF stand for?
      2.  What is the HCF of 12 and 20?
      3.  What is the HCF of 100 and 135? 




TEACHER ACTIVITY
TEACHER ACTIVITY

Ø  Finds the HCF of two numbers.

Ø  Finds the HCF of two or more algebraic expressions.

Ø  Facilitates in correlating the methods of finding HCF of numbers and algebraic expression.

Ø  Explains in detail using different examples the method of finding HCF of algebraic expressions. 

Ø  Gives more examples for practice.


Ø  Finds the HCF of two numbers.

Ø  Finds the HCF of two algebraic expressions.

Ø  Facilitates in correlating the methods of finding HCF of numbers and algebraic expression.

Ø  Explains in detail using different examples the method of finding HCF of algebraic expressions

Ø  Finds the HCF of given algebraic expressions.




PERIOD 4
Learning Objectives:
The students should be able to:
1.      Understand the concept of algebraic fractions.
2.      Add algebraic fractions with same denominators.
3.      Subtract the given algebraic fractions with same denominators.
4.      Find out the sum and difference of algebraic fractions with same denominators.

Key Vocabulary : Fraction, Algebraic fractions, common denominator, LCM,Sum.   
Key Questions:     
1.      How can we add two rational numbers with same denominator?
2.      How can we find the Sum of two algebraic fractions with same denominator?
3.      find 1/x + 2/ x      
TEACHER ACTIVITY
STUDENT ACTIVITY
Ø  Makes the students to recall the concept of fraction.
Ø  Correlates the concept of fraction with algebraic fraction
Ø  Utilizes the knowledge of the students in Algebra and introduces the concept of the sum and difference of two algebraic fractions with same denominator.
Ø  Illustrates the way to find out the sum and difference of two algebraic expressions with same denominator through solving examples on board.
Ø  Giving questions to the students for practice.
Ø  Recall the concept of fraction.

Ø  Differentiate an algebraic fraction from a fraction.
Ø  Link their knowledge on algebra to the new concept .


Ø  Understand the way to find out the product of two algebraic expressions.


Ø  With the help of the teacher students find out the answers.
PERIOD 5&6
Learning Objectives:
The students should be able to:
1.      Add algebraic fractions.
2.      Find out the sum of algebraic fractions.
3.      Subtract algebraic fractions.
4.      Find out the Difference of two algebraic fractions.
5.      Find the sum and difference in a single problem.
Key Vocabulary : Fraction, Algebraic fractions, Product, Sum and difference of algebraic fractions,
Key Questions:     
1.      How can we add algebraic expressions?
2.      How to find the Sum of two algebraic expressions?
3.      How can we find the difference of algebraic expressions?      
TEACHER ACTIVITY
TEACHER ACTIVITY

Ø  Utilizes the knowledge of the students in Sum and Difference of two of algebraic fractions.
Ø  Illustrates the way to find out the sun and Difference of two algebraic expressions through solving an example on board.
Ø  Makes the students to recall and apply it in a single problem.

.

Ø  Utilizes the knowledge of the students in Sum and Difference of two of algebraic fractions.
Ø  Illustrates the way to find out the sun and Difference of two algebraic expressions through solving an example on board.
Ø  Makes the students to recall and apply it in a single problem.





PERIOD 7
Learning Objectives : The students should be able to:
1.      Multiply algebraic fractions.
2.      Find out the product of algebraic fractions.
3.      Divide algebraic fractions.
Key Vocabulary: Expression, Fraction, Algebraic fractions, product, quotient, Reciprocal fraction.
Key Questions:       
1.      How to find the product of two algebraic expressions?
2.      How can we divide two rational numbers?
3.      How can we divide two algebraic fractions?
TEACHER ACTIVITY
STUDENT ACTIVITY
  
Ø  Correlates the concept of fraction with algebraic fraction
Ø  Utilizes the knowledge of the students in product of two algebraic expressions and introduces the concept of the division of two of algebraic fractions.
Ø  Illustrates the way to divide two algebraic expressions through solving an example on board.
Ø  Giving questions to the students ask them to find the product.

  
Ø  Differentiate an algebraic fraction from a fraction.
Ø  Link their knowledge in product of two algebraic expressions to the new concept of quotient.

Ø  Understand the way to find out the quotient of two algebraic expressions.
Ø  With the help of the teacher find the product of algebraic expressions.


MATERIALS:                IGCSE Mathematics/ Ric Pimentel and Terry Wall

                                               Extended Mathematics for IGCSE/ David Rayner 

TEACHING AIDS:        Black board, work sheet, calculator

EVALUATION:             Oral questions
                                               Class work
                                               Worksheet
                                                Home work
                                                Exercises
REFLECTION:

  1. Level of student participation: …………………………………

  1. Level of student understanding: ………………………………..

  1. Level of the objectives achieved: ………………………………

  1. Student feedback: ………….……………………………………

  1. Overall feedback: ……………………………………………….


 





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      (Subject Teacher)                                      (Co ordinator)

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