# Common Core State Standards Mathematics Resources

illustrativemathematics Illustrated Standards Count to 100 by ones and by tens. (see illustrations) Count forward beginning from a given number within the known sequence (instead of having to begin at 1). (see illustrations) Write numbers from 0 to 20. Understand the relationship between numbers and quantities; connect counting to cardinality. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. Understand that the last number name said tells the number of objects counted. Understand that each successive number name refers to a quantity that is one larger. Count to answer “how many?” Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. Compare two numbers between 1 and 10 presented as written numerals. Fluently add and subtract within 5. Recognize area as additive.

Prototype Summative Tests About these tests The purpose of these is to provide examples of the type of tests students should be able to tackle, if the aspirations of the Common Core State Standards are to be realized. The methodology of the tests and their balance of different task types is discussed in more detail here. Note: please bear in mind that these materials are still in draft and unpolished form. What tests are available? High School Currently, 6 prototype tests are available aimed at College and Career Readiness at High School - typically suitable for grades 9-10. We have provided 3 types of High School test forms: 40 minute forms are the easiest for teachers to use for periodic assessments without disrupting the timetable, but are limited in the amount of curriculum they can assess. 3 hour forms offer a model for more comprehensive end-of-grade or end-of-term assessments. 90 minute forms offer a compromise between time and breadth of content. Middle School The Task Bank Who are they for?

The University of Arizona - Institute for Mathematics & Education 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 were spliced together and then sliced into grade level standards. From that point on the work focused on refining and revising the grade level standards. The early drafts of the progressions documents no longer correspond to the current state of the standards. It is important to produce up-to-date versions of the progressions documents. This project is organizing the writing of final versions of the progressions documents for the K–12 Common Core State Standards.

Common Core State Standards Initiative | PTA (select any of the links below) The Common Core State Standards (CCSSI) is a joint effort led by the National Governors Association Center for Best Practices and the Council of Chief State School Officers to develop a common core of K-12 standards in English language arts and Mathematics. Read more about National PTA's position on Education Standards. The goal initiative is to develop internationally-benchmarked standards that ensure all students are held to consistent expectations that will prepare them for college and career. More than 45 states, the District of Columbia, Guam, American Samoan Islands, U.S. CCSSI Toolkit Articles of Interest National PTA Position on Education Standards National PTA volunteers have adopted several position statements and resolutions, beginning in 1981, in support of voluntary, clearer, higher academic standards for all students. Supports nationally agreed upon voluntary standards if they are derived by consensus at the state and local levels.