Week 1 and 2 – Jss 2 First Term Mathematics Lesson Notes

MATHEMATICS

SCHEME OF WORKS FOR ALPHA TERM 2017/2018

 WEEK 1    REVISION OF JSS 1 EXAMINATION QUESTION
WEEK 2    WHOLE NUMBER AND DECIMALS NUMBERS
WEEK 3    H C F AND L C M , SQUARE AND SQUARE ROOT
WEEK 4    FRACTIONS
WEEK 5    HOUSEHOLD ARITHMETIC
WEEK 6    APPROXIMATION OF NUMBER
WEEK 7    REVIEWS OF HALF LESSON AND PERIODIC TEST
WEEK 8    MULTIPLICATION AND DIVISION OF DIRECTED NUMBERS
WEEK 9    ALGEBRAIC EXPRESSION
WEEK 10    ALGEBRAIC FRACTION
WEEK11    REVISION AND EXAMINATION
WEEK 1 & 2            WHOLE NUMBER AND DECIMALS NUMBERS

 COMMON MULTIPLES AND FACTOR
Factors: The factor of a number is the whole number that divides the number exactly. For example the factors of 18 may be found as follows;
        18 = 1 x 18
         = 2 x 9
         = 3 x 6
Multiples: A multiple of a number is obtained by multiplying it by any whole number. Example the multiple of 4 are 4, 8, 12, 16, 20 , 24 etc.
A prime number is a number that can only divide itself. It has only two factor which is 1 and itself. Examples of prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19 etc.
Example: (a) find all the factors of 18
    (b) State which of these factors are even
    ( c) state which of these factors are prime numbers
    (d) Write the first three multiple of 18
Solution

1. Factors of 18 are 1, 2, 3, 6, 9, and 18
2. The even numbers are 2, 6, and 18
3. The prime numbers are 2 and 3

Example 1: Find the factor of 56
Solution:
1 × 56
2 × 28
4 × 14
7 × 8
Therefore 56
= 1, 2, 4, 7, 8, 14, 28, and 56.
Product of Prime Factors.
Example 2: Express 56 and 108 as the product of prime factors in index notation.
Solution:
56 = 2 × 2 × 2 × 7 = 2³ x 7
108 = 2 × 2 × 3 × 3 × 3 = 2² x 3³
Note that the numbers must be a prime numbers

 ASSIGNMENT
EXERCISE 1.1; NO 3, 5 & 9. PAGE 2
EXERCISE 1.2; NO 8, 9 & 12. PAGE 3