Maryland Math 5.AT.B.3.c

Math5th GradeAlgebraic Thinking

The Standard

Use tables, ordered pairs, and graphs to represent the relationship between quantities.

Maryland College and Career Ready Standards for Mathematics (2025) · ANALYZE PATTERNS AND RELATIONSHIPS.

Teacher's field guide

What Students Need to Do: Students track two amounts that change together, such as packs bought and pencils received. They record matching values in a table, write each match as a coordinate pair, and plot the points on labeled axes.
What Mastery Looks Like: Given packs of 4 pencils, a student can show the counts for 0 through 5 packs in all three forms. They plot (3, 12) correctly and explain what each number means.
Common Misconceptions: Students may reverse the numbers in a pair and plot (2, 8) at (8, 2). They may also use uneven spacing on an axis or miss that both numbers in a table row describe the same situation.
How to Assess It: Exit ticket: Each pack holds 3 pencils. Make a table for 0 through 4 packs, write the coordinate pairs, and plot them on axes labeled packs and pencils.

Lesson moves

Give pairs 12 counters to build 0, 1, 2, and 3 groups of 4, then record groups and counters in a table.
Show (2, 8) and (8, 2) for bags of 4 apples; ask students to write which point fits and why.
Play coordinate match: hand out cards with table rows, pairs, and plotted points for groups of 3; students find matching sets.
Use a snack menu charging $2 per pretzel; have students list costs for 0 through 5 pretzels and plot the prices.

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