# Common Core State Standards for Mathematics Resources

Curriculum & Instruction

### Georgia Department of Education

#### Kindergarten to 5 (by grade level)

- Each grade includes a year-long curriculum map outlining units of study and approximate pacing
- Each unit contains: instructional strategies, common misconceptions, essential questions, evidence of learning and a wide array of tasks including those to introduce, practice and scaffold a standard. Units also include one or more performance tasks.

#### Grades 6 to 8 (by grade level)

- Same structure as K-5 however with fewer headings
- Includes curriculum maps for an Accelerated 6/7A and Accelerated 7B/8

#### Grades 9 to 12 (by course)

*Same structure and headings as 6-8 but for the following
courses*

- Coordinate Algebra
- Accelerated Coordinate Algebra/Analytic Geometry A
- Analytic Geometry
- Accelerated Analytic Geometry B/Advanced Algebra
- Advanced Algebra
- Accelerated Pre-Calculus
- Advanced Mathematical Decision Making
- Mathematics of Industry and Government
- Mathematics of Finance
- Calculus
- Advanced Mathematical Topics
- Multivariable Calculus
- History of Mathematics

### Flip Books

- The Common Core “FlipBooks” are a compilation of research, “unpacked” standards from many states, instructional strategies and examples for each standard at each grade level. The intent is to show the connections to the Standards of Mathematical Practices for the content standards and to get detailed information at each level.
- There is a FlipBook for each grade level K-8 and one for High School.

### Arizona Department of Education

- Grade level documents include standard, corresponding mathematical practices standards and sample problem or task.
- There is a document for each grade level K-8 and one for High School
- Grade level documents include performance objectives and examples for each standard.

### North Carolina Department of Public Instruction

- Grade level documents include each standard and an example of the necessary knowledge and skills expected to master it.
- Includes grade level specific examples for Standards of Mathematical Practice
- These documents are listing under “Unpacking Standards” and include one for each grade level K-8 and for each of the following for High School: Algebra, Functions, Geometry, Number and Quantity and Statistics/Probability.

### The Mathematics Common Core Toolbox

- Year-at-a-glance. These documents show an overview of the mathematics through a year of instruction on one page.
- The documents cluster into the following grade bands: K-2, 3-5, 6-8, and Algebra, and I-Geometry-Algebra II
- Sequenced units: Each of these documents shows the standards clustered into units, and suggests a sequence to the units. For each unit, both content and standards for mathematical practice are listed as well as the approximate time suggested for completing the unit.
- This site has been created through a collaboration of the Charles A. Dana Center at the University of Texas at Austin and Agile Mind with partial funding from the Bill & Melinda Gates Foundation.

### New York State Education Department

- Set of Common Core sample questions for grades 3-8 and are in the form of either Multiple Choice, Short Constructed Response and Extended Constructed Response.
- These questions are teaching tools and are NOT test samplers.
- Caution: Do not consider these questions to be the only way a standards will be assessed and do not assume that the sample questions represent a mini-version of future state assessments.

### New York City Department of Education

- Tasks, Units and Student work samples aligned to Common Core standards.
- Pathway to these resources: Click on “teacher page” (tab at left); then “teaching resources” (tab at top); under “classroom resources” select CCSS; “tasks, units and student work.” This will take you to “search tasks.”

### The University of Arizona

- The Common Core State Standards in mathematics were built on progressions: narrative documents describing the progression of a topic across a number of grade levels, informed both by research on children’s cognitive development and by the logical structure of mathematics. These documents are drafts and continue to be reviewed and improved upon.
- Progressions explain why standards are sequenced the way they are, point out cognitive difficulties and pedagogical solutions, and give more detail on particularly knotty areas of the mathematics. These would be useful in teacher preparation, professional development and organizing curriculum.

### Illustrative Mathematics

- Provides sample tasks and videos by standard for grades K-High School.
- Tasks have been vetted and commented on by a community of users. The idea of a community to discuss, critique and revise tasks is an important part of this process.
- Illustrative Mathematics is an initiative of the Institute of Mathematics and Education funded by the Bill & Melinda Gates Foundation.

### Inside Mathematics

- Tasks and assessments that can be used immediately with students. All tasks are aligned with the Common Core State Standards for Mathematical Content.

### Math Reasoning Inventory

- The Math Reasoning Inventory (MRI) is an online formative assessment tool designed to assess how a student reasons and understands a concept. The MRI questions focus on number and operations and are based on content from the Common Core State Standards for Mathematics prior to sixth grade.
- There are three assessments in MRI—Whole Numbers, Decimals, and Fractions. Each assessment has two sections—the Interview and the Written Computation sections. The Interview (10–12 questions), done face-to-face, focuses on core reasoning strategies and understandings. The Written Computation section is completed independently by students.

### Common Core Live Binders

- This site has been developed to provide up-to-date information in all things concerning the CCSS-M for the state of Michigan.
- The site has many links to other Common Core websites offering resources for assessment, tasks, lessons, videos and professional development.

### Common Core State Standards Initiative

- The national Common Core website developed by the National Governors Association and the Council of Chief State School Officers.

### Smarter Balanced

- The Smarter Balanced Assessment Consortium (SBAC) is a state-led consortium working to develop next-generation assessments that accurately measure student progress toward college- and career-readiness. Smarter Balanced is one of two multistate consortia awarded funding from the U.S. Department of Education in 2010 to develop an assessment system aligned to the Common Core State Standards (CCSS) by the 2014-15 school year.
- A set of sample items, which illustrate the rigor and complexity of mathematics items and performance tasks students will encounter on the Consortium’s next-generation assessments.
- Can be viewed by grade band (grades 3-5, 6-8 and high school).
- Summative test blueprints

### Achieve the Core

- Free resources for the successful implementation of Common Core including a packet, which focuses on the details of instructional shifts, key fluencies, and content emphases by cluster for each grade.

### Connecticut State Department of Education

- Contains K-8 and High School units of study, which include illustrated practice, pacing guides and unit assessments.

### Missouri Department of Education

- Organized collection of SBAC Sample Items (grades 3–8 and High School).

### Partnership for Assessment of Readiness for College and Careers (PARCC)

- PARCC is a state-led consortium working to develop next-generation assessments that accurately measure student progress toward college- and career-readiness. PARCC is one of two multistate consortia awarded funding from the U.S. Department of Education in 2010 to develop an assessment system aligned to the Common Core State Standards (CCSS) by the 2014-15 school year.
- Model Content Frameworks for each grade level 3-8 and for high school, both traditional and integrated.
- Frameworks were designed to inform the development of test item specifications and support implementation of the Common Core.

### Mathematics Assessment Project

- Classroom Challenges lessons for High School and Middle School, cross-referenced to CCSSM content and practice standards
- Prototype summative assessments
- Prototype professional development modules

### Tennessee Department of Education

- Set of cognitively demanding tasks for each grade level: 3-8

### Michigan State University College of Education

- Set of three working papers focused on CCSS
- Implementing the Common Core State Standards for Mathematics: What Parents Know and Support
- Implementing the Common Core State Standards for Mathematics: What We Know about Teachers of Mathematics in 41 States
- Implementing the Common Core State Standards for Mathematics: A Comparison of Current District Content in 41 States

### Council of Chief State School Offices (CCSSO)

- List of tools and resources to point states to promising practices and tools to support Common Core State Standards implementation. This document primarily lists resources developed by CCSSO and the lead writers of the standards and is not intended to be a comprehensive list of all resources available.
- Highlight: Common Core Webinar Series including three on using the English Language Proficiency Framework to support English Language Learners and the Common Core Standards

### EduCore: Tools for Teaching the Common Core

- The EduCoreTM website was created by ASCD with funds from the Bill and Melinda Gates Foundation.
- The EduCore tool is a repository of evidence-based strategies, videos, and supporting documents that help middle and high school educators’ transition to the Common Core State Standards.

### National Council of Supervisors of Mathematics (NCTM)

- Site links to many mathematics support resources and websites.
- Curriculum Analysis Tool: assesses the potential of curriculum materials to support students’ attainment of the CCSS, including the Standards for Mathematical Practice.
- Common Core presentations and webinars: Can be shared with different district audiences-administrators, teachers, parents
- Illustrating the Standards of Mathematical Practice: activities/tasks that demonstrate the intent of the Standards of Mathematical Practice

### National Council of Teachers of Mathematics

- Core Math Tools: A downloadable suite of interactive software tools for algebra, geometry and trigonometry, and statistics and probability. The tools are appropriate for use with any high school mathematics curriculum and compatible with the Common Core Standards for Mathematics in terms of content and mathematical practices.
- Includes sample lessons and data sets to use with the tools.
- Student Learning Research Brief: “Using Two Languages When Learning Mathematics: How Can Research Help Us Understand Mathematics Learners Who Use Two Languages?”

### Math Common Core Coalition

- Provides links to most current information regarding the CCSS-M in the areas of standards, curriculum, professional development and assessment.
- Members of the coalition are: the National Council of Teachers of Mathematics (NCTM), the National Council of Supervisors of Mathematics (NCSM), the Association of Mathematics Teacher Educators (AMTE), the Association of State Supervisors of Mathematics (ASSM), the Council of Chief State School Officers (CCSSO), the National Governors Association (NGA), the SMARTER Balanced Assessment Consortium, and the Partnership for the Assessment of Readiness for College and Careers (PARCC).
- The coalition provides a means to review, research, nurture, and communicate common messages throughout the implementation and assessment of the CCSSM.
- It also provides expertise and advice from the communities of mathematics education content and assessment experts for the development of the content frameworks of the assessment consortia for the CCSSM.
- They Collect information about the implementation and assessment processes of the CCSSM that will inform future revisions of the CCSSM.

### The Hunt Institute Common Core Videos

- The Hunt Institute videos were developed to help diverse groups — educators, policymakers, parents — better understand the breadth and depth of the Standards and how they will improve teaching, make classrooms better, create shared expectations, and cultivate lifelong learning for all students. There are specific video collections Introducing the Common Core and detailed videos on the Math Standards.

### Transition to the Common Core

- Howard County Public School system (Maryland) wiki site for support of the Common Core
- Complete curriculum support including tasks, formative and summative assessment, essential learnings and common misconceptions are available for grades K-3.
- Also includes a Worthwhile Task Evaluation rubric to help identify meaningful mathematical tasks and a Power Point to present at Back-to-School Night.
- High School material is under construction.

### NSDL Math Common Core Collection (The National Science Digital Library)

- The NSDL Math Common Core collection features digital learning resources that address concept and skills components of the Math Common Core State Standards.
- The collection is organized by grade level and domain, as defined within the Common Core documents. Resources in this collection include lesson plans, simulations, problem sets with explanations, student activities that provide feedback, and other interactives. The collection will continue to grow as new resources are added regularly.

### LearnZillion

- 2000+ Common Core lessons for math and ELA
- Math – 3rd-HS
- See “how it works” on the website.
- Lessons include objective, the actual lesson (on video), lesson resources (word doc with script the teacher used and the PowerPoint with slides the teacher used in the lesson), director’s commentary (the teacher explaining why he or she used the particular language, diagrams, etc. as well as common errors that students make).

### Education Development Center – Implementing the Mathematical Practice Standards

- Implementing the Mathematical Practice Standards is an EDC project funded by the National Science Foundation to develop Illustrations of the Mathematical Practices and a professional development curriculum for teachers in grades 5–10.

### Utah State Department of Education

- Curriculum maps for grades 7 through Integrated Math 3 and Pre-Calculus.
- Includes sample tasks and formative assessments.
- Also lists a number of related implementation issues: High Ability Students and the Math Common Core, Suggested Student Course Progressions, Mathematical Practices Learning Community Templates, to name a few.

### Council for the Great City Schools

- Parent Roadmaps to the Common Core Standards-Mathematics: The Council of the Great City Schools’ parent roadmaps in mathematics provide guidance to parents about what their children will be learning and how they can support that learning in grades K-8. These parent roadmaps for each grade level also provide three-year snapshots showing how selected standards progress from year to year so that students will be college and career ready upon their graduation from high school.

### National PTA

- Parents’ Guide to Student Success: The Parents’ Guide to Student Success (listed below in English and Spanish) was developed in response to the Common Core Standards in English language arts and mathematics. Created by teachers, parents, education experts, and others from across the country, the standards provide clear, consistent expectations for what students should be learning at each grade in order to be prepared for college and career.
- There is a guide for each grade level K-8 and one for High School
- The guide includes:
- Key items that children should be learning in each grade once the standards have been implemented.
- Activities that parents can do at home to support their child’s learning.
- Methods for helping parents build stronger relationships with their child’s teacher
- Tips for planning for college and career (high school only).

### EngageNY.org

- Developed and maintained by the New York State Education Department to support the implementation of the Common Core Standards.
- Provides real-time, professional learning tools and resources with regard to instructional content, performance tasks, and assessment guidelines.

### Share My Lesson

- Developed by teachers for teachers, this site offers a free platform that gives access to teaching resources and tools and provides an online community for teacher collaboration. The site has a significant collection of CCSS-related resources, covering all the aspects of the standards. Share My Lesson was developed by the American Federation of Teachers and TES Connect.
- EdSource article published in Education Evaluation and Policy Analysis: What Do the California Standards Test Results Reveal About the Movement Toward Eighth-Grade Algebra for All?
- In California, an increasing number of 8th graders have taken algebra courses since 2003. This study examines students’ California Standards Test (CST) results in grades 7 through 11, aiming to reveal who took the CST for Algebra I in 8th grade and whether the increase has led to a rise in students’ taking higher-level mathematics CSTs and an improved performance in following years. Results show that the pipeline of 8th-grade algebra and following years’ higher-level mathematics CSTs has a significant leak in it. Furthermore, the longitudinal analysis reveals that 9th-grade students have a 69% greater chance of succeeding in algebra if they passed the CST for General Mathematics in 8th grade compared to those who failed the CST for Algebra I.

### OER Commons-Open Educational Resources

- Site provides educators with hundreds of open source tools and resources needed to actively engage teachers in successful implementation of the Common Core. Sites from different states, professional organizations and researchers are listed. There is also a link to supporting ELL and the Common Core Standards.
- 3-Act Math Problems
- Several websites focus on three-act math problems. These are similar in approach to the SBAC constructed response / performance task problems.

### Dan Meyer’s Blog-Explanation of the 3-Act Problem

- Spreadsheet of Dan Meyer’s 3-Act problems
- Ratio and Proportion 3-Act Problems

### Massachusetts Department of Education

- Template for Model Curriculum Units
- Example of a unit: Grade 6

### California Math Project

- Five units designed, and organized that could be used in professional development (PD) to strengthen teachers’ content knowledge to teach standards in the following areas:
- K-2 Number Sense and Place Value
- Fractions from a Number Line Approach
- Model with Mathematics
- Transformational Geometry
- High School Mathematical Modeling
- These units contain a high quality list of resources that PD providers can use (e.g., articles, books, videos, technology, problems, existing curriculum, outlines of presentations).

### Mathematical Association of American

- A joint statement by the MAA and NCTM answering the question: How should secondary schools and colleges envision calculus as the course that sits astride the transition from secondary to postsecondary mathematics for most students heading into mathematically intensive careers?

### Brokers of Expertise

- Brokers of Expertise (BoE) is an interactive online environment that offers both easily searchable teaching resources and an online community of teaching professionals.
- The site offers a variety of resources. The most anticipated feature of the Brokers of Expertise online environment is the ability to easily access resources from the database that are matched to California State Content Standards.
- It combines a state-of-the art online system with a community of educators willing to share their knowledge to improve the preparation of California’s next generation of citizens.