MAFS.K12.MP.8.1Archived Standard

Look for and express regularity in repeated reasoning.

Mathematically proficient students notice if calculations are repeated, and look both for general methods and for shortcuts. Upper elementary students might notice when dividing 25 by 11 that they are repeating the same calculations over and over again, and conclude they have a repeating decimal. By paying attention to the calculation of slope as they repeatedly check whether points are on the line through (1, 2) with slope 3, middle school students might abstract the equation (y – 2)/(x – 1) = 3. Noticing the regularity in the way terms cancel when expanding (x – 1)(x + 1), (x – 1)(x² + x + 1), and (x – 1)(x³ + x² + x + 1) might lead them to the general formula for the sum of a geometric series. As they work to solve a problem, mathematically proficient students maintain oversight of the process, while attending to the details. They continually evaluate the reasonableness of their intermediate results.

General Information
Subject Area: Mathematics
Domain-Subdomain: Mathematical Practice
Cluster: Level 3: Strategic Thinking & Complex Reasoning
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

This benchmark is part of these courses.
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1200320: Algebra 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200330: Algebra 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200340: Algebra 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200370: Algebra 1-A (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200380: Algebra 1-B (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
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1201300: Mathematical Analysis Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
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1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1205040: M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
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2020910: Astronomy Solar/Galactic Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000310: Biology 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000320: Biology 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000330: Biology 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
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2003360: Chemistry 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
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1207300: Liberal Arts Mathematics 1 (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
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7912065: Access Geometry (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
7912075: Access Algebra 1 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
2003030: M/J STEM Physical Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2002200: M/J STEM Environmental Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2001025: M/J STEM Astronomy and Space Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2000025: M/J STEM Life Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
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7920022: Access Physical Science (Specifically in versions: 2016 - 2018, 2018 and beyond)
7912095: Access Algebra 2 (Specifically in versions: 2016 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
1200387: Mathematics for Data and Financial Literacy (Specifically in versions: 2016 - 2022, 2022 and beyond (current))
2001330: Meteorology Honors (Specifically in versions: 2016 - 2019, 2019 - 2022, 2022 and beyond (current))
5002010: Introduction to Computer Science 1 (Specifically in versions: 2016 - 2022, 2022 - 2023 (current), 2023 and beyond)
5002020: Introduction to Computer Science 2 (Specifically in versions: 2016 - 2022, 2022 and beyond (current))
0200305: Computer Science Discoveries (Specifically in versions: 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
0200000: M/J Computer Science Discoveries (Specifically in versions: 2018 - 2022, 2022 and beyond (current))
0200010: M/J Computer Science Discoveries 1 (Specifically in versions: 2018 - 2022, 2022 and beyond (current))
0200020: M/J Computer Science Discoveries 2 (Specifically in versions: 2018 - 2022, 2022 and beyond (current))
0200315: Computer Science Principles (Specifically in versions: 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
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5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
1700600: GEAR Up 1 (Specifically in versions: 2020 - 2022, 2022 and beyond (current))
1700610: GEAR Up 2 (Specifically in versions: 2020 - 2022, 2022 and beyond (current))
1700620: GEAR Up 3 (Specifically in versions: 2020 - 2022, 2022 and beyond (current))
1700630: GEAR Up 4 (Specifically in versions: 2020 - 2022, 2022 and beyond (current))

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