Fractions II – Basic 3 Mathematics Lesson Note (First Term)

A. counting skill: numbers 681-700

Counting from 681 to 700: 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700

Practice counting:

• From 685 to 695: _______
• From 692 to 700: _______
• Backwards from 700 to 690: _______

Skip counting by 5s: 680, 685, 690, 695, 700

Fill in missing numbers:

• 686, 687, _____, 689, _____
• 695, _____, 697, _____, 699
• _____, 682, _____, 684, _____

B. writing skill: writing of the numbers

Write in words:

• 681 = Six hundred and eighty-one
• 685 = Six hundred and eighty-five
• 690 = Six hundred and ninety
• 695 = Six hundred and ninety-five
• 700 = Seven hundred

Write in figures:

• Six hundred and eighty-three = _______
• Six hundred and eighty-eight = _______
• Six hundred and ninety-two = _______
• Six hundred and ninety-seven = _______
• Six hundred and ninety-nine = _______

C. equivalent fractions

What are equivalent fractions? Equivalent fractions are fractions that have the same value but look different.

Examples:

• 1/2 = 2/4 = 3/6
• 1/3 = 2/6
• 1/4 = 2/8

Visual representation: □■ = 1/2 □■□■ = 2/4 (same as 1/2)

Practice:

1. 1/2 = ___/4
2. 1/3 = ___/6
3. 2/4 = ___/2
4. 3/6 = ___/2

1. ORDERING OF FRACTIONS

Comparing fractions with same denominators: When denominators are the same, compare numerators:

• 1/4 < 2/4 < 3/4
• 1/5 < 2/5 < 3/5 < 4/5

Comparing unit fractions: When numerators are 1, the larger denominator means smaller fraction:

• 1/2 > 1/3 > 1/4 > 1/5

Practice ordering:

1. Arrange from smallest to biggest: 3/5, 1/5, 4/5, 2/5 Answer: _______
2. Arrange from biggest to smallest: 1/2, 1/4, 1/3 Answer: _______

1. ADDING FRACTIONS OF THE SAME DENOMINATORS

Rule: When denominators are the same, add the numerators only.

Examples:

• 1/4 + 2/4 = 3/4
• 2/5 + 1/5 = 3/5
• 1/3 + 1/3 = 2/3

Step by step: 1/4 + 2/4:

• Same denominator (4)
• Add numerators: 1 + 2 = 3
• Answer: 3/4

Practice addition:

1. 1/5 + 2/5 = _____
2. 2/6 + 1/6 = _____
3. 1/8 + 3/8 = _____
4. 2/7 + 3/7 = _____
5. 1/4 + 1/4 = _____

1. QUANTITATIVE REASONING

Fraction word problems:

1. Kemi ate 1/4 of a cake and Tolu ate 2/4 of the same cake. What fraction did they eat together?
2. Ada read 2/5 of a book on Monday and 1/5 on Tuesday. What fraction has she read so far?
3. A farmer used 3/8 of his land for yam and 2/8 for cassava. What fraction of land did he use in total?

Missing fractions:

1. 1/3 + _____ = 3/3
2. 2/5 + _____ = 4/5
3. _____ + 1/4 = 3/4

True or False:

1. 1/2 = 2/4 _____
2. 3/4 > 1/4 _____
3. 1/5 + 2/5 = 3/5 _____
4. 1/3 > 1/2 _____

CLASS EXERCISES

1. Count from 688 to 698:
2. Write in words:
   1. 687 = _______
   2. 694 = _______
   3. 700 = _______
3. Write in figures:
   1. Six hundred and eighty-nine = _______
   2. Six hundred and ninety-six = _______
4. Complete the equivalent fractions:
   1. 1/2 = ___/4 = ___/6
   2. 1/3 = ___/6 = ___/9
5. Arrange from smallest to biggest: 2/7, 5/7, 1/7, 4/7
6. Add these fractions:
   1. 1/3 + 1/3 = _____
   2. 2/5 + 2/5 = _____
   3. 3/8 + 1/8 = _____
7. Circle the bigger fraction:
   1. 2/5 or 3/5
   2. 1/4 or 1/3
   3. 4/6 or 2/6
8. Word problems:
   1. Bola drank 1/4 of a bottle of water in the morning and 2/4 in the afternoon. What fraction did she drink in total?
   2. A pizza was cut into 8 equal pieces. If 3/8 was eaten for lunch and 2/8 for dinner, what fraction was eaten altogether?
9. Find the missing fraction:
   1. 1/6 + _____ = 4/6
   2. _____ + 2/7 = 5/7
10. True or False:
    1. 1/4 + 2/4 = 3/8: _____
    2. 2/3 > 1/3: _____