Georgia 8.MP.8
The Standard
Look for and express regularity in repeated reasoning.
Georgia's K-12 Mathematics Standards · Display perseverance and patience in problem-solving. Demonstrate skills and strategies needed to succeed in mathematics, including critical thinking, reasoning, and effective collaboration and expression. Seek help and apply feedback. Set and monitor goals.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students notice when the same calculation or structure appears across several steps. They use that repetition to create a rule, make a shortcut, or check whether an answer makes sense.
What Mastery Looks Like
- Students identify what changes and what stays fixed across repeated steps. They write a general rule, test it with several cases, and use it to solve efficiently.
Common Misconceptions
- Students may guess a rule from one or two cases without checking later cases. They may describe how to get the next value but cannot write a rule for any value.
How to Assess It
- Give the sequence 7, 11, 15, 19. Ask students to write a rule for term n and explain which repeated calculation supports it.
Lesson moves
Ways to Teach It
Build growing figures with color tiles, record tile counts in a table, then write a rule for the number of tiles in figure n.
Compare two worked solutions and write which repeated step can be replaced by a general rule.
Play Pattern Rule Relay using cards with sequences, tables, and diagrams, then have teams state and test each rule.
Create a phone plan cost table with a fixed fee and per-gigabyte charge, then write a rule for any data amount.
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