“Snow ball”

Let us have skip counting by 2s from 4 to 20. then, point at one pupil to start. The pupil who started will point to another pupil to continue and so on and so forth until you reach 20. every pupils should listen to the previous answer to be able to give his/her own answer. The same procedure will be one to the following items. See to it that every pupil in class will recite.

1. Skip count by 3 form 6 to 36.
2. Skip count by 4 form 8 to 40.
3. Skip count by 5 form 10 to 30.

Do this exercise on patterns. Let the pupils fill in the missing shapes/numbers.

• What are odd numbers?
• What are even numbers?
• When do we say that a number is a multiple of another number?
• What are the multiples of 3, 4 etc.?
• What are factors?

Have you tried answering a number pattern with missing terms?

• Have a game on identifying whether a number is odd or even.
• Group the pupils into two.
• As Group 1 gives a number, group 2 answers, then have them do it vice-versa.

• Odd or even numbers are used in number patterns.

Mr. Villaflor presented these number patterns to his Math class.

a. 3, 6, 9, 12, ___, ___

b. 4, 8, 12, 16, ___, ___

What do you think are the missing terms in a?

What about in b?

Solution:

A, 3, 6, 9, 12, 15, 18

B. 4, 8, 12, 16, 20, 24

By pairs, fill in the missing numbers.

How did you get the missing terms in each sequence of numbers?

Answers:

• Determine the order of numbers if it is ascending or descending.
• Find the difference between the consecutive terms.
• Determine whether the difference between the terms are all odd, even, multiples of a number, or factors of a number.
• To find the missing term, use the difference between terms.

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7, 10, ?, 16, ?

Look at the sequence of numbers.

What are the missing terms?

A list of numbers arranged in a row is called a number sequence.

Each number in the sequence is called a term.

To find the missing term/s in a number sequence, we must first look for its pattern.

Look closely at 7, 10. __, and 16, and __. In the number sequence, each term is formed by adding 3 to the preceding number. So, the missing terms are 10 + 3 = 13 and 13 + 3 = 19. See to it that the pattern is true to the whole sequence from 7 to 19.

Here is another example of a number sequence.

Find the missing terms: 45, 37, 29, ?, ?, 5

The sequence of numbers is in descending order. Get the difference between 45 and 37. in like manner with 37 and 29, the difference is 8. the missing terms are 21 and 13 since 13 is 8 more than the last term which is 5.

Let us take a look at this example.

What are the missing terms in 6, 8, 12, __, 26, __?

Look closely at the difference of and 8 (8 – 6 = 2); 8 and 12 (12 – 8 = 4). The difference is a multiple of 2. the missing terms may be 18 and 36. adding 6 to 12 becomes 18 and adding 8 to 18 becomes 36. hence, 18 and 36 are the missing terms.

Here is another example.

Find the missing terms in this number sequence: 1, 3, 7, 15, ___.

Get the difference of the consecutive terms. Take note that as the number increases, the difference is multiplied by the common factor each term which is 2.

1, 3, 7, 15, 31, 63

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2 4 8 16 32

To find the missing terms, multiply the preceding difference by 2 and then add the product to current term to obtain the next term.

8 × 2 = 16 1 + 15 = 31 is the fifth term

16 × 2 = 32 32 + 31 = 63 is the sixth term

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The same process will be done to obtain the succeeding terms.

Find the missing terms in the following situations below:

​

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Can you find the pattern or sequence used?

The numbers inside the squares are multiplied by odd numbers 3, 5, 7, and 9. Starting 2 × 3 = 6, then 6 × 5 = 30, 30 × 7 = 210, 210 × 9 = 1890. So, the missing number in the last square is 1890.

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How about the numbers inside the circles?

The series of numbers inside the circles uses even numbers 2, 4, 6, 8, as factors. So, the missing number inside the circle is 384 (48 × 8).

2

1

6

2

30

8

210

48

___

__

Find the missing terms in each of the following number sequence.

1. 23, 25, 27, ___, ___, 33
2. 32, 37, ___, ___, 52, 57
3. 85, ___, 77, 73, ___, 65
4. 64, 57, ___, 43, ___, 29
5. 1, 2, 4, ___, 11, ___,

A. Find the missing terms in the following number sequence.

1. 5, 6, 8, ___, 15, ___
2. 18, 20, 24, ___, 38, ___
3. 25, 28, 34, ___, ___, 70
4. 55, 54, 51, 46, ___, ___, 19
5. 82, 81, 78, ___, 66, ___

B. Find the missing terms.

1. 2, 2, 4, 12, ___, ___,
2. 1, 2, 4, 8, ___, ___,
3. 1, 3, 9, 27, 81, ___
4. 1, 5, 25, 125, ___,

How do you find the missing term/s in a number sequence?

To find the missing term, use the difference between terms.

Find the missing term/s.

1. 10, 20, 24, 48, 64, ___, 102
2. 5, 7, 11, 17, 25, ___
3. 7, 14, 21, 28, 35, ___

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​

2

3

4

6

11

14

22

32

1

2

5

4

25

16

Find the missing term/s.

6. Lorena visits her sister, Louela, every seventh day of the week. She visited her sister last December 1, 2014. At what date will she visit her sister for the fourth time?
7. Alma has a magic basket. Anything she places inside the basket doubles every minute. If she placed an apple inside the basket, how many apples would there be after 6 minutes.

Find the missing terms in the given number sequences.

Find the missing terms in the given number sequences.

Find the missing terms.