Numbers and Operations in Base Ten Grades K-5

Achieve the Core Progressions Document Summary

Features of the Progression

Position - the ten digits can represent all numbers with the value based on the position of the number.

Base-ten units - each place value is a base-ten unit (ones, tens, hundreds, tenths, hundredths).

Computations - the four operations rely on decomposing numbers to base-ten units, any multi-digit computation can be reduced to a collection of single-digit computations.

Strategies (purposeful manipulations that may be chosen for specific problems) and algorithms (predefined steps applied to a class of problems that gives the correct result) - initially students use concrete models or drawings and strategies for computation that are related to written methods with explained reasoning, these methods over time will develop into standard algorithms.

Mathematical practices - the eight practices are embedded throughout the progression.