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Progressions for the Common Core State Standards in ...

Progressions for the Common Core State Standards in Mathematics (draft). c The Common Core Standards Writing Team 6 March 2015. Suggested citation: Common Core Standards Writing Team. (2015, March 6). Progressions for the Common Core State Stan- dards in Mathematics (draft). Grades K 5, number and Operations in Base Ten. Tucson, AZ: Institute for Mathematics and Education, University of Arizona. For updates and more information about the Progres- sions, see For discussion of the Progressions and related top- ics, see the Tools for the Common Core blog: http: Draft, 6 March 2015, comment at number and Operations in Base Ten, K 5. Overview Students' work in the base-ten system is intertwined with their work on counting and cardinality, and with the meanings and properties of addition, subtraction, multiplication, and division. Work in the base-ten system relies on these meanings and properties, but also contributes to deepening students' understanding of them. Position The base-ten system is a remarkably efficient and uni- form system for systematically representing all numbers.

the four operations rely on decomposing numbers written in base-ten notation into base-ten units. The properties of operations then allow any multi-digit computation to be reduced to a collection of single-digit computations. These single-digit computations some-times require the composition or decomposition of a base-ten unit.

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