MATHEMATICS 4 - PRIME AND COMPOSITE NUMBERS.pdf

This is a presentation about PRIME AND COMPOSITE NUMBERS

1. MATHEMATICS 4
SECOND QUARTER
JAY CRIS S. MIGUEL

2. ACTIVITY 1
IDENTIFY THE MISSING
NUMBERS IN EACH SERIES
OF NUMBERS GIVEN ON
THE SUCCEEDING SLIDES.

3. 8 16 32
48 64

4. 8 16 32
48 64
24
40 56

5. 9 18 36
54 72

6. 9 18 36
54 72
27
45 63

7. 7 14 28
42 56

8. 7 14 28
42 56
21
35 49

9. 6 12 24
36 48

10. 6 12 24
36 48
18
30 42

11. 10 20 40
60 80

12. 10 20 40
60 80
30
50 70

13. IN ACTIVITY 1, YOU
WERE ABLE TO
ENUMERATE THE
MULTIPLES OF A
NUMBER.
BIG IDEA:

14. Multiples are
numbers that we
get when we
multiply one whole
number by another
whole number.

15. ACTIVITY 2
ANSWER THE FOLLOWING
QUESTIONS ON THE
SUCCEEDING SLIDES.

16. WHAT TWO NUMBERS HAVE A
PRODUCT OF 10?

17. HERE ARE THE POSSIBLE ANSWERS:
5 AND 2
10 AND 1

18. WHAT TWO NUMBERS HAVE A
PRODUCT OF 12?

19. HERE ARE THE POSSIBLE ANSWERS:
6 AND 2
4 AND 3
12 AND 1

20. WHAT TWO NUMBERS HAVE A
PRODUCT OF 18?

21. HERE ARE THE POSSIBLE ANSWERS:
9 AND 2
6 AND 3
18 AND 1

22. WHAT TWO NUMBERS HAVE A
PRODUCT OF 30?

23. HERE ARE THE POSSIBLE ANSWERS:
15 AND 2
10 AND 3
30 AND 1

24. WHAT TWO NUMBERS HAVE A
PRODUCT OF 50?

25. HERE ARE THE POSSIBLE ANSWERS:
25 AND 2
10 AND 5
50 AND 1

26. IN ACTIVITY 2, YOU
WERE ABLE TO
IDENTIFY THE
FACTORS OF A
NUMBER.
BIG IDEA:

27. A factor is one of
two or more
numbers that
divides a number
without a
remainder.

28. Numbers play an
important role in our
lives. We use them in
our daily living.

29. Numbers may
be prime or
composite.

30. TODAY'S LESSON
Prime and Composite
Numbers

31. LESSON OBJECTIVES
After going through this LESSON, you
are expected to:
1. identify the factors of a given
number up to 100;
2. identify the multiples of a given
number up to 100; and
3. differentiate prime from composite
numbers.

32. Let us start learning the new concept with
the help of this problem.
Marlo has 10 cards. He
wants to arrange them in
rows. In how many ways
can he arrange them?

33. What is asked in the problem?
The number of ways
that Marlo can
arrange his cards

34. What are the given facts that
can help you solve the
problem?
10 cards

35. In how many ways can he
arrange them?
We can solve the
problem by using
pictures or diagram.

36. These pictures show the different ways by which Marlo can arrange his cards:
10 rows
1 row
5 rows
2 rows
As shown in the picture, Marlo can arrange his cards in rows of 1, 2, 5 and 10.

37. We can check if our answer is correct with the use
of factors and multiples.
Factors are numbers that we
multiply to get a product.
Multiples are the products of a
number multiplied by other whole
numbers.

38. Let us check if 1, 2, 5 and 10 are factors of 10.
The following multiplication sentences show
the factors of 10.
10 = 1 x 10 10 = 2 x 5
1 is a factor of 10.
10 is a factor of 10.
2 is a factor of 10.
5 is a factor of 10.
Therefore, 1, 2, 5 and 10 are the factors of 10.

39. Let us now check if 10 is a multiple of 1, 2, 5 and 10.
Multiples of 1
Multiples of 2
Multiples of 5
Multiples of 10
1 2 3 4 5 6 7 8 9 10
2 4 6 8 10 12 14 16 18
5 10 15 20 25 30 35 40 45 50
10 20 30 40 50 60 70 80 90 100
The table above shows that 10 is present in the multiples of 1, 2, 5 and 10.
20

40. Let us now check if 10 is a multiple of 1, 2, 5 and 10.
Multiples of 1
Multiples of 2
Multiples of 5
Multiples of 10
1 2 3 4 5 6 7 8 9 10
2 4
5 10 15 20 25 30 35 40 45 50
10 20 30 40 50 60 70 80 90 100
Therefore, 10 is a multiple of 1, 2, 5 and 10.
6 8 10 12 14 16 18 20

41. So, we can finally
say that Marlo
can arrange his
cards in 4 ways
(by 1, 2, 5 and 10).

42. Now, let's study the table below.
Product
Numbers to be multiplied
to get the given product
Factors
Number of Factors
7
9
12
23
1 x 7
1 x 9 ; 3 x 3
1 x 12 ; 2 x 6 ; 3 x 4
1 x 23
1 and 7
1, 3, and 9
1, 2, 3, 4, 6, and 12
1 and 23
2
3
6
2

43. Notice that 7 and 23 have 2 factors each.
The factors of 7 are 1 and itself.
The factors of 23 are 1 and itself.
Notice that 9 and 12 have more than 2 factors each.
The factors of 9 are 1, 3 and 9.
The factors of 12 are 1, 2, 3, 4, 6, and 12.

44. A number greater than
1 with only 2 factors is
a Prime Number. The
numbers 7 and 23 are
examples of prime
numbers.

45. A number with more
than 2 factors is a
Composite Number.
The numbers 9 and 12
are examples of
composite numbers.

46. The numbers 1 and 0
are neither prime
nor composite. They
are considered as
special numbers.

47. The only
even prime
number is 2.

48. ACTIVITY 3
board work
(guided practice)

49. Let us complete the table below with the needed data.
Number
Numbers to be multiplied
to get the given product Factors
Prime or Composite
43
60
99
100

50. ACTIVITY 4
trail of
numbers
(group practice)

51. The teacher will group the learners into four teams.
Each team will form a single line facing the chalkboard.
The teacher will then post (4) tarpapels which contain
the task for each team.
One after the other, each of the members of the (4)
teams will run towards the tarpapel assigned to their
group and encircle a number following the given
direction of their assigned task.
The first team who finish the task accurately will gain an
additional score for their recitation.
Checking of answers will be facilitated by the teacher.
Mechanics:

52. Go to this link to download the
printable tarpapel for this activity:
https://drive.google.com/file/d
/1ciI9kP1WLRdgCydqEjf1b-
zxQG7WgYIm/view?usp=sharing

53. ANSWER KEY:

54. ACTIVITY 5
LOOK, COUNT,
& IDENTIFY
(individual practice)

55. The learners will work individually
in answering the questions on
the succeeding slides.

56. How many
cats do you
see in this
picture?

57. How many
dogs do you
see in this
picture?

58. How many
birds do you
see in this
picture?

59. How many
elephants do
you see in
this picture?

60. How many
rabbits do
you see in
this picture?

61. Encircle the group of animals which comprises a prime number.
a clowder of cats a pack of dogs a flock of birds
a herd of elephants
a fluffle of rabbits

62. Encircle the group of animals which comprises a composite number.
a clowder of cats a pack of dogs a flock of birds
a herd of elephants
a fluffle of rabbits

63. KEY
Answer
18 cats
19 dogs
17 birds
10 elephants
21 rabbits

64. Encircle the group of animals which comprises a prime number.
a clowder of cats a pack of dogs a flock of birds
a herd of elephants
a fluffle of rabbits

65. Encircle the group of animals which comprises a composite number.
a clowder of cats a pack of dogs a flock of birds
a herd of elephants
a fluffle of rabbits

66. ACTIVITY 6
think, pair, &
share
(real-life application)

67. The learners will work in
pairs in answering the given
problem on the next slide.

68. Mang Antonio has 50 mango
seedlings. He wants to plant
them equally in different
rows. In how many ways
can he plant his mango
seedlings?

69. QUESTIONS TO ANSWER:
1. What is asked in the problem?
2. What are the given facts that can help
you solve the problem?
3. Is 50 a prime or a composite number?
Explain your answer.
4. How many ways can Mang Antonio
plant the mango seedlings? You may use
illustrations to answer the problem.

71. Factors are numbers that we
multiply to get a product.
Example:
The possible numbers that give a product of 12 are
1 x 12, 2 x 6, and 3 x 4.
Therefore, 1, 2, 3, 4, 6, and 12 are factors of 12.

72. Multiples are the products of a number
multiplied by other whole numbers.
Example:
The multiples of 5 which are lesser than or equal to
100 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60,
65, 70, 75, 80, 85, 90, 95, and 100.

73. A prime number is a number
with only two factors: 1 and the
number itself.
Examples:
2, 3, 5, 7, and 11 are prime numbers

74. A composite number is a
number with more than two
factors.
Examples:
4, 6, 8, 9, and 10 are composite numbers

75. Zero (0) and one (1) are
neither prime nor
composite. These are
special numbers.

76. Two (2) is the only
even prime
number.

77. ACTIVITY 7
do it your
own
(assessment)

80. C. Copy and complete the table below.
Number
Numbers to be multiplied
to get the given product Factors
Prime or Composite
19
22
25
29
33

81. KEY
Answer

82. ACTIVITY 7
additional
activity
(homework)

83. List down all the prime
numbers from 1 to 100.
List down all the composite
numbers from 1 to 100.
Do what is asked.
1.
2.

84. The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19,
23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
The composite numbers from 1 to 100 are: 4, 6, 8, 9, 10, 12, 14,
15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36,
38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58,
60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81,
82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
1.
2.
KEY
Answer

87. REFERENCE:
Mathematics – Grade 4
Alternative Delivery Mode
Quarter 2 – Module 1: Prime
and Composite Numbers
First Edition, 2020