Monday, May 30, 2011

Sequences


TERM:-                                                                                                                                   Grade:-
Week:-                                                                                                                                     Periods:-
LESSON TITLE: Sequence
Period:-1 – 2
                 Lesson Objectives:-
                                                Students will be able to continue the given number sequence

Key Vocabulary:-Sequence, Terms, Pattern, Next term.
Key questions:- 
(i)     What do you mean by sequence?
(ii)   What you mean by pattern?
(iii) How can we find the next terms of a given sequence?

Teacher Activity
Student’s activity
               Introduce sequence Give suitable example such as Even numbers sequence, multiples of three numbers sequence, multiples of five numbers sequence. Show the students how to find the next terms of the given sequence.
                Give more example questions for practice.           
      
      Listen to the teacher, understand  the meaning of the word sequence and Understand Pattern of numbers sequence given
       Finds the next term of the given sequence

Period:-3
                 Lesson Objectives:-
                                                Students will be able to find the Arithmetic Progression and continue the sequence calculate the nth term of the sequence

Key Vocabulary:- Arithmetic Progression, Common difference, nth term.
Key questions:- 
(i)     How can you find that a given sequence is an Arithmetic Progression?
(ii)   Give the significance of the word common difference?
(iii)  How can you find the nth term of tan A.P?

Teacher Activity
Student’s activity
               Introduce Arithmetic Progression Show how to find the common difference and find the next term of the sequence and Give suitable example to find the
 nth term of A.P and extend this idea to find a particular term of a given sequence.
              Give more example questions for practice   
      
      
      Listen to the teacher, understand  the sequence A.P 
   
       Find the next three terms, a particular term and the nth term of an A.P



Period:-4 – 5 
                 Lesson Objectives:-
                                                Students will be able to find the next terms of a sequence by applying the First successive difference& Second successive difference method


Key Vocabulary:-First Successive difference, Second successive difference
Key questions:- 
(i)     What is the first successive difference of the given sequence?
(ii)   What is the second successive difference of the given sequence?
Teacher Activity
Student’s activity
  Introduce First successive and second successive difference type sequence and Show how to find the successive difference of the sequence and find the next terms
         Give suitable example to find the next terms
                             
      
      Listen to the teacher, understand  the significance of the First successive and second successive difference
       Find the next three terms  of  the sequence by using the First successive and second successive difference type sequence.
     
Period:- 6 – 7
                 Lesson Objectives:-
                                                Students will be able to find the sequence idea involved in the diagram pattern and solve problems involving diagrams
Key Vocabulary:- Squares, rectangles, Triangles, Dots
Key questions:- 
(i)     How many triangles are there in the first figure?
(ii)   How many dots would come in the 10 the diagram?


Teacher Activity
Student’s activity
                               Give Suitable questions to find the pattern in which the given diagrams are arranged Explain how to find the pattern and using it how to find the required solutions
          Give more example questions related to real life situations for practice.           
      
      Listen to teacher, understand  the significance of the given diagram.
      Find the number of dots ,number of squares ext. Draw conclusions.

Materials:-IGCSE Mathematics, Ric Pimentel  and terry Wall Page numbers From 25 to 29
                 Extended Mathematics for IGCSE, David Rayner, Page numbers from 6 to 7
                 Core Mathematics for IGCSE, David Rayner, Page numbers from 42 to 44


Teaching Aids:-  Work sheet, black board.


Evaluation:-   Oral Questions, class Work, Completing class work


Reflection:-





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                                                                                                                             (Supervisor)

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