Variables and Equations · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.2.3.1.1 - Translate word problems into linear inequalities in one variable and vice versa

By the end of the lesson, learners can:

Identify the key phrases in a word problem that signal inequality relationships (at least, at most, less than, greater than, no more than, no less than).
Translate simple word problems into linear inequalities in one variable using the correct inequality symbol.
Translate a given linear inequality into a word problem or a verbal statement.
Use a variable to represent an unknown quantity in a real-life situation and form the corresponding inequality.
Distinguish between situations that produce equations (equal to) and those that produce inequalities, and justify their reasoning.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Variables and Equations (2.3)
Content standard: B8.2.3.1 - Demonstrate an understanding of linear inequalities of the form x + a ≥ b (where a and b are integers) by modelling problems as a linear inequalities and solving the problems concretely, pictorially, and symbolically.
Indicator: B8.2.3.1.1 - Translate word problems into linear inequalities in one variable and vice versa
Suggested placement: Term 2, Week 9 (Week 21 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. 121
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Make mathematical sentences involving linear inequalities from word problems.
i. Think of a whole number less than 17 i.e. x < 17
ii. Eight less than the product of -3 and a number is greater than -26. Write and solve an inequality to represent this relationship.
i.e.-3x-8>-26
iii. Kwaakye's profit for March of GH₵ 32 was at least GH₵ 12 less than his February profit. What was his February profit?
I.e. March profit was at least GH₵12 less than February's profit. GH₵23 ≥ _ 12 + p