Fractions, Decimals and… · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.1.3.1.2 - Add and/or subtract, multiply and/or divide given fractions, by using the principle of the order of operations (the rule of BODMAS or PEMDAS), and apply the understanding to solve problems.

By the end of the lesson, learners can:

State the correct order of operations using the BODMAS rule (Brackets, Order, Division, Multiplication, Addition, Subtraction) in their own words.
Apply BODMAS to simplify whole number expressions containing more than two operations.
Apply BODMAS to simplify fraction expressions involving a combination of addition, subtraction, multiplication and division.
Solve word problems involving fractions of given quantities that require the use of BODMAS.
Justify each step in the simplification process by identifying which operation rule is being applied.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Fractions, Decimals and Percentages (1.3)
Content standard: B8.1.3.1 - Apply the understanding of operation on fractions to solve problems involving fractions of given quantities and round the results to given decimal and significant places.
Indicator: B8.1.3.1.2 - Add and/or subtract, multiply and/or divide given fractions, by using the principle of the order of operations (the rule of BODMAS or PEMDAS), and apply the understanding to solve problems.
Suggested placement: Term 1, Week 12 (Week 12 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. 103
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), Add/Subtract (going from left to right).
i. 21 ÷ 3 + (3 × 9) × 9 + 5
ii. 18 ÷ 6 × (4 - 3) + 6
iii. 3 4 ÷ 9 + 40 - 2 3 × 3 2 ÷ 9
E.g. 2. Use the order of operations (BODMAS or PEDMAS) to simplify whole number expressions with more than two operations.
a) 3 + 5 × 4 - 1
4 8 5 6
b) 3 ÷ 3 +( 4 - 1 )
4 8 5 2
c) ( 3 + 5 ) × 4 - 1
4 8 11 2