Look for and express regularity in repeated reasoning.
Standard detail
MP.8
Standard
Depth 1Parent ID: 4E919C043F434C23B1C7693BD0ADAC22Standard set: High School — Geometry
Original statement
Quick facts
- Statement code
- MP.8
- List ID
- 8.
- Standard ID
- 4365D6A58E2D4D69B789250E932B62E2
- ASN identifier
- S2549268
- Subject
- Mathematics (2011-2017)
- Grades
- 09, 10, 11, 12
- Ancestor IDs
- 4E919C043F434C23B1C7693BD0ADAC22
- Exact matches
- Source document
- North Dakota Mathematics Content Standards (2011)
- 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.