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Instructional Resources - Mathematics

Teaching the Colorado Academic Standards in mathematics is supported through a wide array of free instructional resources. This webpage lists just a few of these resources and will be updated regularly. If you are an educator in Colorado and have suggestions for a great free resource please email Mary Pittman. For additional opportunities please check Professional Development.

This page is organized by the following main topics:

Understanding the Colorado Academic Standards for Mathematics

Student Achievement Partners, a nonprofit founded by three of the contributing authors to the Common Core that develops tools for effective standards implementation, has released three additional Common Core professional development modules designed to support district and school leadership in their transition to the Common Core.

The Illustrative Mathematics Project connects mathematical tasks to each of the standards. Bill McCallum, a lead writer of the Common Core State Standards, helped create the site to show the range and types of mathematical work the standards are designed to foster in students.

The Arizona Academic Content Standards contain explanations and examples for each of the standards created by teachers with the help of Bill McCallum a lead writer of the Common Core State Standards.

Achieve the Core is the website for the organization Student Achievement Partners (SAP) founded by David Coleman and Jason Zimba, two of the lead writers of the Common Core State Standards. The website shares free, open-source resources to support Common Core implementation at the classroom, district, and state level. The steal these tools link includes information on the key instructional shifts for math and guidance for focusing math instruction.

Two Geometry Papers for Teaching Secondary Mathematics were created by Professor Hung-Hsi Wu in the Department of Mathematics at University of California in Berkeley. These are designed to help teacher, especially high school teachers, negotiate the geometry standards in the CCSSM.  The papers are available online: Teaching Geometry According to the Common Core Standards and Teaching Geometry in Grade 8 and High School According to the Common Core Standards.

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Curricular Resources for the Colorado Academic Standards for Mathematics

The Model Content Frameworks from Partnership for Assessment of Readiness for College and Careers (PARCC) were developed through a state-led process of content experts in PARCC member states and members of the Common Core State Standards writing team. The Model Content Frameworks are designed help curriculum developers and teachers as they work to implement the standards in their states and districts.

Appendix A of the Common Core State Standards was developed to provide Model Course Pathways in Mathematics for high school. Achieve (in partnership with the Common Core writing team) convened a group of experts to create pathways for both traditional and integrated course sequences.

The What Works Clearinghouse (WWC) has released a new Practice Guide: Teaching Math to Young Children. From naming shapes to counting, many children show an interest in math before they enter a classroom. Teachers can build on this curiosity with five recommendations from the WWC in this practice guide.  The guide is geared toward teachers, administrators, and other educators who want to build a strong foundation for later math learning.

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Learning Progressions in the Colorado Academic Standards for Mathematics

The Common Core State Standards were built on mathematical progressions. This website provides links to narrative documents describing the progression of a mathematical topic across a number of grade levels, informed both by research on children's cognitive development and by the logical structure of mathematics.

Phil Daro, a writer of the Common Core State Standards, has created two videos about learning trajectories that are available on teacher tube, What are they? and Why use them?

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Differentiating the Colorado Academic Standards for Mathematics

What Works Clearinghouse released a practice guide, Assisting Students Struggling with Mathematics: Response to Intervention (RtI) for Elementary and Middle Schools. In addition, Doing What Works has developed professional development resources associated with the practice guide at the webpage, Response to Intervention in Elementary-Middle Math.

The Colorado English Language Proficiency Standards provide Colorado educators with an invaluable resource for working with not only English Language Learners in mathematics but developing mathematical language in all students. The Can Do descriptors are particularly helpful entry point to the standards.

Open source Mathematics materials for English Language Learners, released by Understanding Language, were developed using research-based principles for designing mathematics instructional materials and tasks from two publicly accessible curriculum projects, Inside Mathematics and the Mathematics Assessment Project. Each lesson supports students in learning to communicate about a mathematical problem they have solved, to read and understand word problems, or to incorporate mathematical vocabulary in a problem solving activity.

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For website assistance in mathematics, please contact Mary Pittman.

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