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BASIC MATHEMATICS

TOPIC1: NUMERICAL LITERACY

(1 CREDIT/15 HOURS)


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PN RAZIMAH BT MOHAMED

KETUA JABATAN SAINS DAN

MATEMATIKIPGMKTAA, KUALA LIPIS.


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1.1 REVISITING NUMBERS


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1.1 REVISITING NUMBERS

(6 HOURS)

To explore and understanding:

i. Number patterns (jujukan nombor)

ii. Factorsiii. Multiples

iv. Perfect squares

v. Negative numbersvi. Modular numbers


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Patterns can be found abundantly in nature.

The stripes on a zebra and a tiger display

unique patterns.Leaves on plants, flower petals and fruits

also form beautiful pattern


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You can also see pattern in numbers. Can you

describe the pattern (jujukan) in the following

number sequence?

1, 5, 14, 30, 55

Recognising number patterns is an importantProblem-solving skill


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NUMBER PATTERNS AND

SEQUENCE


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Maths Story

Fibonacci sequence

Mathematicians have been studying patterns

for centuries. The pattern of numbers

1,1,2,3,5,8,is called the Fibonacci Sequence


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The sequence begins with 1,1 and each term

after the second is obtained by adding the

previous two terms of the sequence.

1, 1, 2, 3, 5, 8,


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Describing the pattern

Describe the pattern of each of the number

sequence

a) 5, 12, 19, 26,

b) 1, 4, 16, 64, .

c) 40, 35, 30, 25, d) 144, 72, 36, 18,


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Extending Number Sequences

Extend each of following numbers sequences

by adding three more terms

a) 2, 7, 12, 17, .

b) 3, 9, 27, .


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Solution:

a) 2, 7, 12, 17, 22, 27, 32

b) 3, 9, 27, 81, 243, 729


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Completing missing terms in given

number sequences

Copy and complete the missing terms in thefollowing number sequence.

9, 21, , 45, , 69


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Solution:

33 and 57


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Odd and even number

Mathstip: Odd and even number also

from number sequence

1. Odd numbers = 1, 3, 5, 7,

2. Even numbers = 2, 4, 6, 8,


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Identify and describe all the odd and

even numbers in the number sequence

16, 21, 26, 31, , 71.


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Solution:

Odd numbers = 21, 31, 41, 51, 61 and 71. These numbers form a number sequence that

is obtained by adding 10 to the previous

number

Even numbers= 16, 26, 36, 46, 56, and 66


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Prime numbers

Identifying the characteristic of Primenumbers

1. A prime number is a whole number that can

only be divided by itself and the number 1.2. The number 1 is not prime.(It does not have

two different factors)

3. The first five prime numbers are 2,3,5,7,114. 2 the smallest prime number and it is the

only even number which is a prime number.


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1) Express 6930 as a product of primes.

2) Write down all the prime numbers less than

20.

3) Which of the following are prime numbers?

3, 11, 15, 19, 21, 23, 27, 29, 31, 37, 39,

47, 51, 59, 61, 67, 72, 73, 87, 99


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Method of finding all prime numbers less than

50:

a) Cross out 1 then circle 2 and cross out all its

multiples.

b) Proceed to the next number that is not

circled or crossed, and repeat the process.

c) Continue until all numbers are circled or

crossed out.


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Solution:

1. 2,3,5,7,11,13,17,19,23,29,31,37,41,43 and

47

2. 23,29,31,and 37


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