Detailed Lesson Plan in Mathematics IV
I. Objective
           At the end of 40 minutes lesson the pupils are expected to do the following with at
least 75% level of accuracy.
   A. Identify patterns and relationships in sequences of numbers.
   B. Determine missing terms in a sequence of numbers.
   C. Apply the knowledge of determining missing terms in a sequence of numbers in real-
      world contexts.h
II. Subject Matter
         Topic: Determining Missing Term/s in a Sequence of the numbers
         Reference: Learners Material Mathematics IV pp. 168 to 169
        Materials: Notebook, pen and worksheet number sequence problems
      Teacher’s Activity                                  Pupil’s Activity
 A. Preliminary Activity
   1. Prayer
             Please stand for our prayer.        (Pupils are praying)
    2. Greeting
             Good morning children!              Good morning ma’am.
    3. Checking of Attendance
                                                      None ma’am!
         Who are absent from row 1?
                                                      None ma’am!
         Who are absent from row 2?
                                                      None ma’am!
         Who are absent from row 3?
   4. Setting of Standards
                                                 We will listen to the one who are talking
         What will you do if someone is talking
                                                ma’am.
 here in front?
                                             Ma’am we will raise our hand if we want to
            How about if you want to answer,
                                             answer.
 what will you do?
        Very good!
                                                We will listen carefully to the instruction of
         If we will have a group activity, what
                                                the teacher ma’am.
 should you do?
                                                 As a group, we have to cooperate to one
                                                 another.
        Great! What else?
        That will be our agreement and I will
give an award for those who can answer my
question.
   5. Drill
             Now, we will have a quick drill on
multiplication. All you have to do is to answer
the following.
            1. 10 x 5
              2. 2 x 8
              3. 5 x 6
              4. 9 x 9
              5. 3 x 4
                                                   Our lesson yesterday is all about Describing
   6. Review
                                                  and illustrating different kinds of angles.
               What was our lesson yesterday?
                                                  A right angle is when two straight lines
                                                  intersect each other at 90˚.
        Great! What is a right angle?
                                                  An acute angle measure less than 90
         What about an acute angle?               degrees.
                                                        Obtuse angles measure more than 90
         What is an abtuse angle?
                                                  degrees.
        Very good!
  7. Motivation                                     Yes ma’am
      Did you ever play a game that involves
a sequence of numbers, such as Sudoku or
crossword puzzles?
      Ok great!
(The teacher will call a pupil to answer the
question)
                                                   Yes ma’am!
     Now have you encountered a situation
where you need to determine a missing
number in a sequence?
                                                  I asked my mother for a 10-peso coin
     Tell us about the situation?                 because I would like to buy a biscuit and I
                                                  count the coins to make sure that it is
                                                  complete but she only gave me 9 pesos so I
                                                  asked her again for another 1-peso to make
                                                  it 10.
      Very good!
 B. Developmental Activities
     1. Presentation
       Mr. Libre presented these number
       patterns to his math class.
       a. 3,6,9,12,__,__
       b. 4,8,12,16,__,__
       (Let the pupil answer the given
       problems)
       What do you think are the missing The missing terms are 15 and 18
       terms in a?
                                                  20 and 24
       What about in b?
  2. Discussion
(The teacher start discussing about the
lesson)
 Each of the number in the sequence is called
a term. In order to find the missing terms in a
number sequence, we must first find the
pattern of the number sequence.
   Example:
Find the missing terms in the following
sequence;
8, ___,16, ___,24,28,32
Solution:
To find the pattern, look closely at 24,28 and
32. Each term in the number sequence is
formed by adding 4 to the preceding number.
So the missing terms are 8 + 4= 12 and 16 +
4= 20. Check that the pattern is correct for
the whole sequence from8 to 32.
Another example of a number sequence are:
      Number Sequence            Pattern
    3,6,9, 12,……...              Add 3
    12,17,22,27,……               Add 5
    70,65,60,55,….              Subtract 5
    15,19,23,27,….               Add 4
                                                  (The students start answering the activity)
 3. Group Activity
(The teacher will assign the group an activity)
Direction: Find the missing term. Answer it on
the activity sheet.
Group 1:
   1.) 22,25,27,__,__,33
   2.) 32,37,__,__,52,57
   3.) 85,__,77,73,__,65
   4.) 64,57,__,43,__,29
   5.) 1,2,4,__,11,__
Group 2.
   1. 7,10,__,16,__
   2. 45,37,29,__,__,5
   3. 6,8,12,__,26,__
   4. 1,2,__,4,___,6
   5. 22,24,26,__,__,32                           (Pupils are working on the task given.)
4. Application
 Individual activity
Direction: Identify the pattern of each
number sequence. Write the answer on the
blank before the number.
           A                   B
__1.) 2,4,6,8,1           a. add 1
__2.) 5, 8, 11,14,17      b. add 5
__3.) 8,6,4,2             c. add 3
__4.) 15,20,25,30,35      d. subtract 2
__5.) 1,2,3,4,5          e. add 2
                                                  To find the missing term/s in a number
                                                  sequence, identify first the rule followed by
                                                  the numbers in the sequence and then use
                                                  this rule to find the missing term.
5. Generalization
How do you find the missing terms in a
number sequence?
IV. Evaluation
Direction: Find the missing terms in the given number sequence.
   1.)   20,21,23,__,__,35
   2.)   38,42,46,__,__,58
   3.)   61,63,65,__,__,71
   4.)   4,8,16,__,__,128
   5.)   3,5,9,__,__,33
V. Assignment
Give 5 example of games that has a pattern. Write it in your notebook.
Prepared by: Glory Jane T. Luzara