TEKS Math 5.4.C

Math5th GradeAlgebraic reasoning

The Standard

generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What Students Need to Do: Students use a given input rule to calculate output values and organize them in a table. They write the results as ordered pairs and plot them on a coordinate grid.
What Mastery Looks Like: A student correctly extends multiplicative and additive patterns for several input values. The student plots each pair with x first, uses a consistent scale, and explains how the rule connects the coordinates.
Common Misconceptions: Students may read ax as a + x or multiply in both rule forms. They may switch x and y, miscalculate from x = 0, or use uneven intervals on the graph.
How to Assess It: Give students y = 3x and x-values 0, 1, 2, and 4. Ask them to complete a table, list the ordered pairs, and graph them.

Lesson moves

Use linking cubes to model y = 3x for inputs 0 through 5, then record and plot each ordered pair.
Compare y = 2x and y = x + 2, then write how their tables and graphs differ.
Play Rule Match with cards showing equations, input-output tables, and graphs, then have teams assemble matching sets.
Model a $4 per ticket cost with y = 4x, make a table, and graph total cost for up to six tickets.

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