Algebraic Expressions · JHS1 Mathematics

Lesson notes

Learning Objectives

Indicator: B7.2.2.1.2 - Perform addition and subtraction of algebraic expressions with rational coefficients.

By the end of the lesson, learners can:

Identify and group like terms in algebraic expressions involving rational coefficients such as 1/2, 3/4, and 2.5.
Add algebraic expressions with rational coefficients and write the result in simplest form.
Subtract algebraic expressions with rational coefficients and write the result in simplest form.
Simplify expressions that combine both addition and subtraction of terms with rational coefficients.
Use addition and subtraction of algebraic expressions to find the perimeter of simple shapes.

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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: B7.2.2.1.2 - Perform addition and subtraction of algebraic expressions with rational coefficients.
Suggested placement: Term 2, Week 5 (Week 17 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. 36
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Add algebraic expressions
i. Write each of these expressions in its simplest form: 1. x + x 2. y + y + y + y 3. s + s + s + t + t + k + k + k
ii. Simplify the following expressions: 1. 4x + 3x + x 2. 5x + 4x + 2x + 3x 3. 3abc + 4abc + 2abc
iii. Write an expression for the perimeter of the following shapes:

Wide colour mathematical teaching visual is organised as a labelled teaching diagram with vertical divisions,... — A wide colour mathematical teaching visual is organised as a labelled teaching diagram with vertical divisions, coloured regions. Visible labels, values, and notation include: (i); t; (ii); 2s; 3n; (iii); 2p; S.

E.g.2 Subtract algebraic expressions.
i. Write each of these expressions in its simplest form. 1. 5x - 2x 2. 3x - 4x - 2x 3. 7x - 4x - x
E.g.3 Adding and subtracting algebraic expressions.
i. Simplify the following expressions: 1. 5x + 4 - 9y + 3x + 2y - 7 2. 2p - 3q + 3p + 5q 3. 4x + 7 - 2x - 4 4. 7xy + 5x - 4x + 2xy - 3
ii. Write an expression for the perimeter of the shaded region

Wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions,... — A wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. Visible labels, values, and notation include: qcm; 3cm; p cm; 5cm; 2cm; 4cm; x cm; ycт.