Patterns and Relations · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.2.1.1.2 - Use graphs of two linear relations to determine subsequent missing elements in ordered pairs of the relation.

By the end of the lesson, learners can:

Identify the coordinates of the intersection point of two linear relations from a graph.
Read the value of y for a given x from the graph of a linear relation.
Determine missing elements in ordered pairs for two linear relations using their graphs.
Compare the y-values of two linear relations at the same x-value and explain what the difference means.
State the ordered pair that satisfies both linear relations simultaneously, using the intersection point.

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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: B9.2.1.1.2 - Use graphs of two linear relations to determine subsequent missing elements in ordered pairs of the relation.
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. 181
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

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. Visible labels, values, and notation include: E.g.1 Find the missing elements of ordered; pairs on graphs of two linear relations.; The graph below is drawn from two linear; relations; y=-x+4; y=X-2; Determine the coordinates for the; 5; 4; 3; 2; 1; (0,-2)-2; (2,0).

E.g.1 Find the missing elements of ordered pairs on graphs of two linear relations.
The graph below is drawn from two linear relations: y = -x + 4 y = x - 2
i. Determine the coordinates for the intersection of the two lines.
ii. Determine the corresponding values for y for both straight lines if x = -1.
iii. Use the graph to find the values for y for the two relations.

x 6-3 7-2 8-1 90 1 2
y = -x + 4 y = x - 2