Mathematics week 3 and 4 for Jss 1 First Term
JSS1 Mathematics – Weeks 3 & 4
Week 3: LCM & HCF of Whole Numbers
Understand and compute LCM and HCF by inspection and prime factorization.
Example 1: HCF(12, 18)
Prime factors: 12 = 2² × 3, 18 = 2 × 3² → common = 2 × 3 = 6
Example 2: LCM(12, 18)
Max powers: 2² × 3² = 4 × 9 = 36
Example 3: HCF(24, 36)
24 = 2³ × 3, 36 = 2² × 3² → HCF = 2² × 3 = 12
Example 4: LCM(5, 7)
5 and 7 prime → LCM = 5 × 7 = 35
Example 5: HCF(14, 49)
14 = 2 × 7, 49 = 7² → HCF = 7
Example 6: LCM(8, 12)
8 = 2³, 12 = 2² × 3 → LCM = 2³ × 3 = 24
Example 7: HCF(21, 28)
21 = 3 × 7, 28 = 4 × 7 → HCF = 7
Example 8: LCM(4, 9)
4 and 9 share no common factors → LCM = 4 × 9 = 36
Example 9: HCF(30, 45)
30 = 2 × 3 × 5, 45 = 3² × 5 → HCF = 3 × 5 = 15
Example 10: LCM(6, 8, 12)
6 = 2 × 3, 8 = 2³, 12 = 2² × 3 → LCM = 2³ × 3 = 24
Week 4: Fractions – Introduction
Learn types of fractions: proper, improper, and mixed numbers.
Example 1: 1/2 (proper)
Numerator < Denominator → Proper fraction.
Example 2: 3/4 (proper)
3 < 4 → Proper fraction.
Example 3: 5/3 → Mixed number
5 ÷ 3 = 1 R 2 → 1 2/3.
Example 4: 7/4 → Mixed number
7 ÷ 4 = 1 R 3 → 1 3/4.
Example 5: 9/2 → Mixed number
9 ÷ 2 = 4 R 1 → 4 1/2.
Example 6: 2/5 (proper)
2 < 5 → Proper fraction.
Example 7: 8/3 → Mixed number
8 ÷ 3 = 2 R 2 → 2 2/3.
Example 8: 4/4 = 1 (whole number)
Numerator = Denominator → equals 1.
Example 9: 10/6 → Mixed number & Simplify
10 ÷ 6 = 1 R 4 → 1 4/6 → simplify 4/6 = 2/3 → 1 2/3.
Example 10: 6/7 (proper)
6 < 7 → Proper fraction.
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