Variables and Equations · JHS1 Mathematics

Lesson notes

Learning Objectives

Indicator: B7.2.3.1.3 - Model linear equations, then write mathematical expressions and describe the process of solving the equation using algebraic tiles.

By the end of the lesson, learners can:

Represent a given linear equation of the form x + a = b using algebraic tiles, showing the variable tile and unit tiles correctly.
Write the mathematical expression that corresponds to a given tile model of a linear equation.
Describe orally and in writing the steps for solving a linear equation using algebraic tiles, including isolating the variable tile.
Model and solve at least two linear equations with integer solutions using algebraic tiles, recording each step symbolically.
Justify why the same operation must be performed on both sides of the equation when solving with tiles.

Sign in with your phone number to read the full note and download the GES plan - free.

Sign in with phone number

Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Variables and Equations (2.3)
Content standard: B7.2.3.1 - Demonstrate an understanding of linear equations of the form x + a = b (where a and b are integers) by modelling problems as a linear equation and solving the problems concretely, pictorially, and symbolically.
Indicator: B7.2.3.1.3 - Model linear equations, then write mathematical expressions and describe the process of solving the equation using algebraic tiles.
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. 45
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1

Algebra-tile balance and equations solve 3x + 1 = -2 by subtracting 1 and dividing both sides by 3 to obtain x = -1.... — An algebra-tile balance and equations solve 3x + 1 = -2 by subtracting 1 and dividing both sides by 3 to obtain x = -1. The nearly square colour table is arranged with horizontal divisions, vertical divisions, coloured regions.

E.g.2