Algebraic Expressions · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.2.2.1.3 - Substitute values to evaluate algebraic expressions including fractions and use these to solve problems.

By the end of the lesson, learners can:

Substitute given numerical values (including negative integers and fractions) into algebraic expressions to evaluate them.
Simplify algebraic expressions before substitution to make evaluation easier and more accurate.
Evaluate expressions that combine substitution with multiplication and division of fractions, such as products of rational expressions.
Apply substitution of values to solve word problems drawn from everyday situations.
Verify their evaluations by checking that the final value is reasonable given the signs and magnitudes of the substituted values.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Algebraic Expressions (2.2)
Content standard: B8.2.2.1 - Solve problems involving algebraic expressions (including multiplication of binomial expressions) factorise given expressions and substitute values to evaluate algebraic expressions.
Indicator: B8.2.2.1.3 - Substitute values to evaluate algebraic expressions including fractions and use these to solve problems.
Suggested placement: Term 2, Week 8 (Week 20 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. 119
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

if x = 2, y = -2, z = 3, c = 1 and d = -1,
simplify, then substitute in the value to evaluate the following expressions:
i. 3 - 2 iv. 3ab × 10d x+1 x-1 15c 2 d 2 9a 2
ii. 1 + 2 v. 6x 2 +2xy × 15z 2 x-1 x+1 5z 3x+y
iii. 12xy × 14x vi. 5x + 7z 2 - 4d + 3y 2 7 20