Look for and express regularity in repeated reasoning.
Standard detail
CCSS.Math.Practice.MP8
Standard
Depth 1Parent ID: 58AB0D81C0494E7A99BD00C6AA0A8105Standard set: High School — Algebra
Original statement
Quick facts
- Statement code
- CCSS.Math.Practice.MP8
- List ID
- 8.
- Standard ID
- E429E1AE6D874088BD09166283FD23F6
- ASN identifier
- S2433629
- Subject
- Common Core Math (2010-2015)
- Grades
- 09, 10, 11, 12
- Ancestor IDs
- 58AB0D81C0494E7A99BD00C6AA0A8105
- Exact matches
- Source document
- Common Core State Standards for Mathematics (2010)
- License
- CC BY 3.0 US
- Dataset notes
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.