CCSS.Math.Content.5.OA.B.3
The standard
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
Common Core State Standards for Mathematics · Operations and Algebraic Thinking
What this standard means
Students need to make two number patterns from given rules, line up matching terms, write those matches as ordered pairs, and plot them on a coordinate grid. They also need to notice how the two patterns are related, such as one being double the other or always 4 more.
Mastery looks like accurate tables, correct ordered pairs, clean graphing, and a simple explanation of the relationship. Students often mix up term number with term value, reverse x and y in ordered pairs, skip equal spacing on the graph, or describe the pattern without comparing the two columns.
Ways to teach it
- Hands-on: Give pairs two rule cards, grid paper, and counters, then have them build both patterns, fill a table, and graph the pairs.
- Prompt: Write, “How are the two pattern columns related, and how can you see that relationship on the graph?”
- Quick assessment: Ask students to generate five terms for “start at 2, add 3” and “start at 5, add 6,” then graph the ordered pairs.
- Real-world connection: Compare two savings plans, saving $4 each week and saving $7 each week, then graph week-by-week totals as ordered pairs.
Plan a lesson for CCSS.Math.Content.5.OA.B.3
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Related standards
- CCSS.Math.Content.3.OA.D.9
Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.
- CCSS.Math.Content.4.OA.C.5
Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.
- CCSS.Math.Content.4.OA.C
Generate and analyze patterns.
- CCSS.Math.Content.6.NS.C.6b
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by ...