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Looking for some professional reading that will aid your understanding of the Common Core State Standards? The Progressions Documents for the Common Core State Standards in Mathematics may be exactly what you have been searching for. The writers of the *Eureka Math *modules took great care in studying the Progressions both before and while the assessments, objectives, overviews, and lessons within the modules were being written. This is one reason why there is such wonderful coherence throughout the modules and why the progression of the modules makes mathematical sense. Teachers are now, more than ever, recognizing the strength of their students’ prior learning

The Progressions Documents, housed on the University of Arizona website, were written prior to the Common Core State Standards. They are a series of documents that the progression of the mathematics specific to each of the domains of the Common Core State Standards (CCSS). The awesome thing about these documents is how they show the coherence and connectedness of the math within and across grade levels (i.e., how the math taught within one grade level sets students up for success with the next). The Progressions Documents are a great resource for teachers to supplement their understanding of math. Let’s look, for example, at the Number and Operations in Base Ten, K-5 Progression in Eureka

The Number and Operations in Base Ten, K-5 Progression begins with an introduction of the base-ten system and explains how work with the base-ten system intertwines with students’ work with counting and cardinality and with the four basic operations. Units of base-ten and their relationships are introduced and then are followed by an explanation of computations as they relate to the composing and decomposing of base-ten units. The solution strategies (evident in the Grade 2 modules) are explained and introduced as are different computational methods. Make-a-ten strategies and composing and decomposing a ten are explained. Also stressed is students’ initial work with concrete models and drawings and the absolute importance of student discussion and explanation of the math. The document calls out the Standards for Mathematical Practice (MPs) and explains the importance of the MPs in the movement to the initial understanding and then use of the standard algorithms. Finally, the document explains in detail, grade level by grade level, the progression of the math within the Number and Operations in Base Ten (NBT) domain.

What follows are some of the central ideas that are explained within the NBT Progression. You will likely recognize these ideas as the Common Core State Standards. If you are confused about what the NBT Standards mean at your grade level, the NBT Progression does a great job of explaining the math and giving strategies and explanations for understanding the Standards.

Things to note when reviewing the NBT Progression:

(Note that the concepts listed are inclusive of those within the NBT domain and do not reflect standards within the other domains.)

**Kindergarten**

*Concepts:*

**Grade 1**

*Concepts:*

**Grade 2**

*Concepts:*

**Grade 3**

*Concepts:*

**Grade 4**

*Concepts:*

**Grade 5**

*Concepts:*

The Progressions are a great resource for personal professional growth and mathematical understanding. Be sure to read the Progressions in their entirety to discover or rediscover the reasoning behind the math, the complexities students will face, and how to help students overcome difficulties.

*This post is by Mary Swanson, a former teacher, who is a writer for the *Eureka Math A Story of Units *curriculum.*