Algebraic Expressions · JHS1 Mathematics

Lesson notes

Learning Objectives

Indicator: B7.2.2.1.3 - Perform multiplication and division of algebraic expressions with rational coefficients.

By the end of the lesson, learners can:

Multiply algebraic expressions with rational coefficients, including terms with powers (e.g., 4p × 8p², 5xy² × 4x⁴y³).
Multiply three or more algebraic terms together, including negative coefficients (e.g., -2a × 4c × 5b).
Write and simplify algebraic expressions for the area of rectangles and squares given their dimensions.
Divide algebraic expressions with rational coefficients, simplifying the numerical and variable parts separately (e.g., 12x³y² ÷ 16xy⁴).
Divide algebraic expressions where the denominator is a product of terms, simplifying fully (e.g., -30abc ÷ 6ab³c⁻²).

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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: B7.2.2.1.3 - Perform multiplication and division of algebraic expressions with rational coefficients.
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. 38
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Solve multiplication of algebraic expressions.
i. Simplify the following expressions 1. 4p × 8p 2 2. 5xy 2 × 4x 4 y 3 3. -2a × 4c × 5b 4. -3xy × 5y

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: Зу ст; (i); 12cm; 2x cm; (ii); q cm; 3cm; p cт; (iii); 5cm.

ii. Write an expression for the area of the following shapes:
E.g.1 Solve division of algebraic expressions. Simplify the following expression: 12x 3 y 2
I. 16xy 4
II. -30abc 6ab 3 c -2 18x 5 y 2
III. 24x 7 y 2