B6 Mathematics · Term 2 Week 4: Fractions

Lesson notes

Learning Objectives

Indicator: B6.1.3.1.2 - Add and subtract unlike and mixed fractions

By the end of the lesson, learners can:

Add like mixed fractions by separating whole numbers and fractions, then combining the results.
Subtract like mixed fractions by converting to improper fractions and finding the difference.
Add unlike fractions and mixed fractions by finding the Lowest Common Denominator (LCD) and using equivalent fractions.
Subtract unlike fractions and mixed fractions by finding the LCD and using equivalent fractions.
Solve word problems involving addition and subtraction of mixed fractions in real-life situations.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Fractions (1.3)
Content standard: B6.1.3.1 - Demonstrate an understanding of strategies for comparing, adding, subtracting, multiplying and dividing common, decimal and percent fractions
Indicator: B6.1.3.1.2 - Add and subtract unlike and mixed fractions
Suggested placement: Term 2, Week 4 (Week 16 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics Curriculum for Primary Schools (Basic 4-6), 2019, p. 132
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. To add like mixed fractions that are larger than 1, i.e. 2 1/3 and 32/3 we write down the sum of the whole numbers and add the fractions; i.e. 2 1/3 + 32/3 = 5 + 1/3 + 2/3, = 5 (1+2)/3 = 53/3= 6.
E.g. 2. To subtract like-fractions that are larger than 1, i.e. 2 1/3 and 32/3 , we change the mixed fractions into improper fractions and subtract; i.e. 32/3 - 2 1/3 + = 11/3- 7/3 + = (11-7)/3 = 4/3. = 1 1/3
E.g. 3. To add or subtract improper fractions with different denominators, (2 1/3 and 32/5 ) we need find the Lowest Common Denominator (LCD) and use this to express the equivalent fractions. The LCD is 15 and the equivalent fractions are 2 5/15 and 3 6/15; their sum is 2 1/3 + 32/5 =2 5/15+ 3 6/15 = 5 (5+6)/15 which is 5 11/15; and difference 32/5 -2 1/3 = 1 (6- 5)/15 = 1 1/15