Major shifts

  • Focus on fewer topics to teach for long-term understanding and proficiency
  • Pay attention to how learning progresses across the grades to ensure coherence
  • Teach for and assess both conceptual understanding and procedural fluency
  • Focus on problem solving and reasoning, including having students explain their reasoning and strategies.
Tools for classroom implementation of the Common Core

Illustrative Mathematics provides meaningful classroom tasks that illustrate the range and types of mathematical work that students experience in a faithful implementation of the Common Core State Standards.

  • Illustration for 6.RP.A.3: A mixture of concrete is made up of sand and cement in a ratio of 5 : 3. How many cubic feet of each are needed to make 160 cubic feet of concrete mix? Worked solutions include both a ratio table and the use of the scale factor.

Inside Mathematics, A Professional Resource for Educators features classroom examples of innovative teaching methods and insights into student learning, tools for mathematics instruction that teachers can use immediately, and video tours of the ideas and materials on the site. The Tools for Mathematics Instruction include Problems of the Month, which were developed for entire schools to get involved in multilevel explorations of mathematics concepts, plus a nice explanation with videos for “Why Problem Solving?” “Getting Started” and “Role of the Principal”. The Tools section also includes tasks and assessments aligned with the Common Core.

  • Problem of the Month for Ratios and Proportions (RP): Tom and Diane start to race. Tom took 4 seconds to run 6 yards. Diane ran 5 yards in 3 seconds. If they continued to run at the same speeds, who would get to 30 yards first? Show how you figured it out. Who runs faster? How can you compare their speeds?

Progression Documents for the Common Core Math Standards explain the progression of topics across the grades, which reflect both research on children's cognitive development and the logical structure of mathematics. Developed at the Institute for Mathematics and Education at the University of Arizona.

Many Common Core resources for mathematics are located at this excellent website by Kalamazoo RESA.
Standards for Mathematical Practice.docx - This document is drawn directly from the CCSS and provides the detail behind each of the Mathematical Practice standards.
Interdisciplinary Connections in the CCSS.doc - Between Mathematical Practices & ELA Reading & Writing Standards
Mathematics Scavenger Hunt.doc to help teachers discover the various parts of the CCSS-M document.

Tools for aligning your curriculum to the common core

Mathematics K-8 Common Core Standards with student- and parent-friendly "I Can" statements for K-6 (Student-friendly versions of the CCSS for 7th and 8th grade are not included because we've found that many 7th and 8th grade mathematics teachers like to do this themselves.)
Mathematical Practice Standards Visioning Grid.pdf - A tool for thinking deeply about how to implement the mathematical practice standards
K-5 Fluency Standards

High School
Course descriptions for Algebra I, Algebra II and Geometry.pdf - From Appendix A of the Common Core. These charts break down each course into units, with guidance on the limits of various standards.
Mathematics 9-12 Common Core State Standards.doc - In a gap analysis form. Easy to customize for your own needs.
Grids for interweaving the mathematical practices into each unit of Algebra I, Algebra II, or Geometry.

MAISA units and lessons

Examplar units and lessons are being created to highlight the Common Core Standards, including the appropriate instructional strategies and practices. An overview of the units is available on the MAISA website. Complete access is available through Oakland Schools Rubicon Atlas.

Other Curriculum Resources

IES Practice Guides, What works Clearinghouse (Mathematics RtI, Fractions, more)
Two-thirds divided by three-fourths, a visual explanation