CCSS.Math.Practice.MP8
The Standard
Look for and express regularity in repeated reasoning.
Common Core State Standards for Mathematics
What This Standard Means
What Students Need to Do
Students notice when the same calculation, step, or structure appears across several examples. They use that repetition to make predictions, create a rule or shortcut, and check whether results make sense.
What Mastery Looks Like
Students spot repeated steps across related examples and use them to predict another result. They state a general rule or shortcut, test it, and check that each result is reasonable.
Common Misconceptions
Students may claim a rule after checking only one or two cases. They may notice a surface pattern but miss the repeated operation, or use a shortcut where it does not apply.
How to Assess It
Exit ticket: Give three related calculations from today’s lesson. Ask, “What repeats, what can you predict, and what rule works? Test your rule once.”
Ways to Teach It
- Build growing tile designs, record each total in a table, predict stage ten, and explain which repeated change supports the prediction.
- Show three related solved problems and ask, “What step repeats, and how could that repetition become a general rule?”
- Play Pattern Hunter with cards showing related calculations, awarding points for naming the pattern, predicting the next result, and checking it.
- Use a weekly savings table to find the repeated increase, predict a later balance, and write a rule for any week.
Related Standards
- CCSS.Math.Practice.MP7
Look for and make use of structure.
- CCSS.Math.Content.6.RP.A.3
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number l...
- CCSS.Math.Content.HSA-REI.A
Understand solving equations as a process of reasoning and explain the reasoning
- CCSS.Math.Content.6.RP.A
Understand ratio concepts and use ratio reasoning to solve problems.
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