JHS1 Mathematics · Term 1, Week 9

Fractions, Decimals and Percentages

Lesson notes

Learning Objectives

Indicator: B7.1.3.2.1 - Explain the process of addition and subtraction of two or three unlike and mixed fractions.

By the end of the lesson, learners can:

  1. Identify the numerator, denominator, and whole number parts of proper, improper, and mixed fractions.
  2. Explain why unlike fractions must be renamed using a common denominator before adding or subtracting.
  3. Add two or three unlike fractions by finding the LCM of the denominators and renaming each fraction.
  4. Add mixed fractions by adding whole numbers separately from fractions, and express improper fraction answers as mixed numbers.
  5. Subtract mixed fractions using both the separate-parts method and the improper-fraction method, including cases where borrowing or regrouping is needed.

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Curriculum details

Strand
Number (Strand 1)
Sub-strand
Fractions, Decimals and Percentages (1.3)
Content standard
B7.1.3.2 - Demonstrate an understanding of the process of addition and/or subtraction of fractions and apply this in solving problems
Indicator
B7.1.3.2.1 - Explain the process of addition and subtraction of two or three unlike and mixed fractions.
Suggested placement
Term 1, Week 9 (Week 9 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, Common Core Programme (JHS1-JHS3), 2023, p. 19

Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. To add mixed fractions, i.e. 2 2 and 1 2 , we first add the whole 5 3
numbers and then add the fractions; i.e. 2 + 1 + 2 + 2 = 3 + 6 + 10
5 3 15 15
= 3 6+10 = 3 16 = 4 1
15 15 15
E.g. 2. To subtract mixed fractions, i.e. 2 4 -1 2 , we first subtract the whole 5 3
numbers and then subtract the fractions; i.e. (2 - 1) + 4 - 2 = 1 12 -10
5 3 15
= 1 2 . 15
Alternatively, we may change the mixed fractions to improper fractions first.