Algebraic Expressions · JHS1 Mathematics

Lesson notes

Learning Objectives

Indicator: B7.2.2.1.5 - Use properties of the four operations to simplify algebraic expressions with rational coefficients.

By the end of the lesson, learners can:

Identify which property of operations (commutative, associative, distributive, or laws of indices) applies to a given algebraic expression.
Simplify algebraic expressions with rational coefficients involving multiplication and division using the properties of operations.
Simplify algebraic expressions with rational coefficients involving addition and subtraction by collecting like terms.
Combine the properties of operations to simplify multi-step algebraic expressions with rational coefficients.
Justify their simplification steps by naming the property used at each step.

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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: B7.2.2.1.5 - Use properties of the four operations to simplify algebraic expressions with rational coefficients.
Suggested placement: Term 2, Week 7 (Week 19 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. 40
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

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: b; a; h.

E.g.1 Simplify algebraic expressions involving the four operations.

Wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical... — A wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, open white space around the main marks. Visible labels, values, and notation include: і. 3xу× 2+; 6x2y3; 2y2; 7x+4x-2x; 3х; ili.3x2y+2xy2-4x2y-6xy2; iv. (15p3q2x; 12x'y3) ÷ (36pq x; 45ху); 7x2+2x2; V.; 3x2; vi.7a-7a3 + 14a*.

i. 3xy × 2 + 6x 2 y 3 iv. (15p 3 q 2 × 2y 2 12x 5 y 3 ) ÷ (36pq ×
ii. 7x+4x-2x 45xy) 3x
iii. 3x 2 y + 2xy 2 - 4x 2 y - 6xy 2 v. 7x 2 +2x 2 3x 2
vi. 7a - 7a 3 + 14a 4