Patterns and Relations · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.2.1.1.3 - Use graphs to solve equations involving two linear relations.

By the end of the lesson, learners can:

Plot two linear relations on the same number plane using a table of values
Identify the point of intersection of two graphed lines as the solution to a pair of simultaneous linear equations
Read the coordinates of the intersection point accurately from a graph
Verify a solution by substituting the intersection coordinates into both original equations
Solve word problems involving two linear relations by drawing graphs and finding their intersection

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Patterns and Relations (2.1)
Content standard: B9.2.1.1 - Demonstrate the ability to construct tables of values for pairs of linear relations, graph the relations in a number plane and determine the intersection of the lines to solve simultaneous linear equations.
Indicator: B9.2.1.1.3 - Use graphs to solve equations involving two linear relations.
Suggested placement: Term 2, Week 4 (Week 16 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. 182
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

Nearly square colour mathematical teaching visual is organised as a table with horizontal divisions, vertical... — A nearly square colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. Visible labels, values, and notation include: E.g.1 Solve two linear equations simultaneously; using the graph shown.; i. Solve the following equations simultaneously; using a graph.; y=-x+7; y=2x +1; Hint: Draw the graph and find the coordinates for; the intersection of the.

E.g.1 Solve two linear equations simultaneously using the graph shown.
i. Solve the following equations simultaneously using a graph. y = -x + 7 y = 2x + 1
Hint: Draw the graph and find the coordinates for the intersection of the two lines.
In the graph shown the values of (x, y) = (2, 5)
E.g.2 Solve two linear equations simultaneously using the graph.
From the graph, determine the values of x and y that makes the linear equations true. y = x + 4 y = 6 - x