Georgia 7.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 patterns while solving several similar problems. They use those patterns to form general rules, explain their reasoning, and check whether the rules keep working.
What Mastery Looks Like
- Given related calculations, students identify what changes and what stays the same. They write a general rule, test it with a new case, and revise it if needed.
Common Misconceptions
- Students may claim a rule after checking only one or two cases. They may also use a shortcut outside the conditions where it works or treat a pattern as proof.
How to Assess It
- Give this exit ticket: Find the first four sums of consecutive odd numbers, predict the sum of the first n odd numbers, then test n = 10.
Lesson moves
Ways to Teach It
Have students build growing squares with tiles, record each total, and connect the added odd numbers to the square numbers.
Ask students to compare two solution methods and write where repeated steps appear and what general rule those steps suggest.
Play Rule Detective with input-output cards, awarding points for finding a rule and verifying it with an unseen input.
Have students calculate phone plan costs for several data amounts, write a cost rule, and use it to predict a monthly bill.
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