Claim 1: Concepts & Procedures - Students can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency.

Learn About Claim 1

• What is the rationale for Claim 1?
  This claim addresses procedural skills and the conceptual understanding on which developing skills depend. It is important to assess how aware students are of how concepts link together, and why mathematical procedures work in the way that they do. Read more.
  
  

• What does sufficient evidence looks like for Claim 1?
  Items and tasks that could provide evidence for this claim include brief items – selected response and short constructed response items – that focus on a particular procedural skill or concept. Brief items could also include items that require students to translate between or among representations of concepts (words, diagrams, symbols) and items that require students to identify an underlying structure. Read more.
  
  

• What are the assessment targets for Claim 1?
  Claim #1 Assessment Targets are provided for grades 3 through 8 and high school. The cluster headings are used as the targets of assessment for generating evidence for Claim #1. Read more.

Unit/Lesson Planning

Tools

• Understanding the Standards
• Study the Standards at Your Grade    
  Explore the CCSS Math standards documents articulated by grade level that have been developed by other CCSS states.
• California's eStandards for CCSS    
  Search the CCSS for ELA & Literacy and Math by keyword
• Domain and Cluster Posters by Grade Level   08/04/2011 (328.72 KB)
• CCSS Math Practices Poster in Student Language   12/03/2012 (566.38 KB)
  Created by the Jordan School District, these posters offer student friendly descriptions of each of the eight mathematical practices.
• CCSS Math Practices Posters in Spanish    
  These posters were designed by Javier S. Guerrero and are provided as part of the Common Core Translation Project.
• Secondary Math Curriculum Guides (Utah Department of Education)    
  The Secondary I Curriculum Guides from the Utah Department of Education are provided to teachers to illuminate the meaning of the standards and to provide instructional guidance.
• Gathering Momentum for Algebra    

• Planning Templates
• CCSS Student Report Templates (K-5)    
  These templates, designed by Corvallis SD TOSA Chris Caster, include the standards for each grade K-5 and are designed to be used to track CCSS related assignments and assessments. Scroll down to "Standards Report" to find the templates.
• Quality Review Rubric for Units and Lessons    
  The Tri-State Collaborative (composed of educational leaders from Massachusetts, New York, and Rhode Island and facilitated by Achieve) has developed criterion-based rubrics and review processes to evaluate the quality of lessons and units intended to address the Common Core State Standards for Mathematics.

Teaching & Learning

Tools

• Videos of instruction
• Counting Objects and Ordering Numbers    
  Kindergarten students count and order numbers with and without a number line.
• What Fraction of this Shape is Red?    
  5th and 6th grade students explore part and whole by creating pattern block designs.
• Critical Foundations of Algebra    
• Developing Effective Fractions Instruction for K-8    

• Differentiating for individual student needs
• Meeting the Needs of English Language Learners    
  The documents on this page provide all educators with resources that focus on the needs of English language learners. Educators should continue to reference the resources available on other CCSS pages for content-specific information.
• ELP Development Framework Webinar Series    
  This four part webinar series by CCSSO on the English Language Proficiency Development (ELPD) Framework outlines the underlying English language practices found in the CCSS and the Next Generation Science Standards (NGSS) and communicates to ELL stakeholders the language that all ELLs must acquire in order to successfully engage the CCSS and NGSS.
• Varied Tasks for the Mixed Ability Classroom    
  This middle school Geometry lesson shows how to support students at different readiness levels with meaningful tasks.
• Response to Intervention in Elementary-Middle Math (Doing What Works)    
  An overview of Math Response to Intervention (RTI) including the three instructional tiers and components that are common to most systems such as universal screening, progress monitoring, systematic instruction, and differentiation based on data.
• Meeting the Needs of Students with Disabilities and Diverse Learners    
  The documents on these pages provide all educators with resources that focus on the differentiated instruction of students with special needs. Educators should continue to reference the resources available on other CCSS pages for content-specific information.
• Differentiation Training Module    
  This site contains 10 training modules on differentiation, developed as part of the Oregon DATA Project. GET PASSWORD

• Instructional Strategies
• Mathematics Assessment Project PD Module: Concept Development Lessons    
  The Formative Assessment Lessons described here typically begin with a formative assessment task that exposes students’ existing ways of thinking. The teacher is then offered specific suggestions on how these may be challenged and developed on through collaborative activities. New ideas are constructed through reflective discussion. This process places considerable pedagogic demands on teachers, and it these demands that this module is intended to explore.

• Lessons
  NOTE: The inclusion of links to these sites does not constitute an endorsement by ODE.
• Mathematics Assessment Project Formative Assessment Lessons (MS & HS)    
  The Concept Development Lessons are designed to reveal and develop students’ conceptions, and misconceptions, of significant mathematical ideas and how these connect to their other knowledge. Professional development modules have been developed to support these lessons.
• National Digital Science Library    
  The NSDL Math Common Core collection features digital learning resources that address concept and skills components of the Math Common Core State Standards.
• LearnZillion    
  LearnZillion offers K-5 lessons, including videos with author's voiceover, and assessments aligned to the CCSS for ELA and Math. Teachers can register for a free password.
• EduCore: Math Tools    
  Formative assessment lessons and instructional videos for mathematics aligned to the Common Core.
• Open Education Resources (OER) Commons    
  A collection of open education resources (OER) including Common Core implementation plans, transition guides, assessment tasks, exemplars and curriculum.

Assessment

Tools

• MAP Professional Development Module: Formative Assessment    
  The effective use of formative assessment lessons depends on the quality of feedback given by teachers to students. One important way of moving students’ thinking forward is to prompt them to reconsider their reasoning by asking carefully chosen questions.
• Mathematics Assessment Project Summative Tasks (MS & HS)    
  MAP summative assessment materials assess performance in mathematics, as described in the Common Core State Standards in Mathematics. Includes novice, apprentice, and expert tasks.

• Smarter Balanced Sample Summative Items for Teachers
  Covering all possible item types (selected response, constructed response, extended response, technology enhanced, and performance tasks), these samples include student items, as well as sample student responses and evaluation rubrics where appropriate. Educators can use these items to get an idea of how to design classroom tasks that will prepare students for the Smarter Balanced Assessment.
• Grades 3-5    
• Grades 6-8    
• High School    
  
• Sample Items and Tasks for Students    
  The items on these sites include a combination of computer adaptive items (selected response, constructed response, extended response) and performance tasks. Items can be scored using sample student responses and their accompanying scores as reference for reviewing your answer.
• Smarter Balanced Training Tests    
  Training tests for each grade level and subject area have been released to assist students with becoming familiar with the new item types that are present on the Smarter Balanced Pilot Test. NOTE: The training tests and online calculators can only be accessed on Mozilla Firefox.

• Mark Freed     (503) 947-5610
  Teaching & Learning Team - Education Specialist