Fractions, Decimals and… · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.1.3.1.2 - Add and/or subtract, multiply and/or divide given fractions, using the principle of order of operations including the use of the BODMAS or PEMDAS rule, and apply the understanding of these to solve problems.

By the end of the lesson, learners can:

State the order of operations using both BODMAS and PEMDAS and explain why the order matters when simplifying expressions with fractions.
Simplify expressions involving two or more operations on fractions using the BODMAS/PEMDAS rule, showing each step of their working clearly.
Apply the order of operations to evaluate expressions that combine fractions with brackets, multiplication, division, addition and subtraction.
Solve word problems that require identifying the correct order of operations on fractions before calculating the answer.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Fractions, Decimals and Percentages (1.3)
Content standard: B9.1.3.1 - Apply the understanding of operations on fractions to solve problems involving fractions of given quantities and round the results to given decimal and significant places
Indicator: B9.1.3.1.2 - Add and/or subtract, multiply and/or divide given fractions, using the principle of order of operations including the use of the BODMAS or PEMDAS rule, and apply the understanding of these to solve problems.
Suggested placement: Term 1, Week 11 (Week 11 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. 173
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Use the order of operations (BODMAS or PEDMAS) to simplify whole number expressions with more than two operations. PEDMAS is Parenthesis, Exponents, Multiply/Divide (going from left to right)and Add/subtract (going from left to right).
i. 3 4 ÷ 3 2 + 40 - 2 3 × 3 2 ÷ 9
ii. 18 ÷ 6 × (4 - 3) + 6
iii. 18 ÷ 3 2 × (4 - 3) × 10
E.g. 2. Use the order of operations (BODMAS or PEDMAS) to simplify fractions with more than two operations.
a) 2 × 3 - 5 ÷ 2 1
3 4 8 2
b) 3 ÷ 3 +( 4 - 1 )
4 8 5 2
c) ( 3 + 5 ) × 4 - 1
4 8 11 2