JHS1 Mathematics · Term 2 Week 6: Algebraic Expressions

Lesson notes

Learning Objectives

Indicator: B7.2.2.1.4 - Substitute values to evaluate algebraic expressions.

By the end of the lesson, learners can:

Identify the variables and their given values in an algebraic expression.
Substitute given numerical values for variables correctly in any algebraic expression.
Apply the order of operations (BODMAS) when evaluating expressions after substitution.
Evaluate expressions involving whole numbers, fractions, and negative integers accurately.
Solve real-life word problems by writing and evaluating algebraic expressions with substituted values.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Algebraic Expressions (2.2)
Content standard: B7.2.2.1 - Simplify algebraic expressions involving the four basic operations and substituting values to evaluate algebraic expressions.
Indicator: B7.2.2.1.4 - Substitute values to evaluate algebraic expressions.
Suggested placement: Term 2, Week 6 (Week 18 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. 39
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Simplify the following expressions and substitute the values to evaluate them, if
x = 2, y = 4, p = 3 and z = -1,. I. 3xy × 5y II. 7xy + 5x - 4x + 2xy - 3
III. 4p × 8z 2 IV. 5x + 4 - 9y + 3x + 2y - 7
E.g.2 Simplify the following expressions and substitute the values to evaluate them, if x = 2, y = 4, a = 3, b = 2, z = 1 and c = -1,
i. 12x 3 y 2 16xy 4
ii. -30abc 6ab 3 c 2
iii. 18x 5 y 2 24x 3 y 2
iv. 8xyz 16xy
v. 5ab 2 ab
21x 7
vi. 3x 4
i. If x = 5, a = 8, b = 3, h = 6, find the perimeter and area of the following:
ii. shapes.