6-8+Overview+-+September+6,+2013

toc =Standards=

Alabama College and Career Ready Standards and Support Common Core State Standards website



Article -"[|A Common Core of Readiness]" by Robert Rothman, from Educational Leadership, April 2012.

=Assessment=

Memo to superintendents regarding 2013-14 statewide testing

Aspire website ACT College Readiness Standards for Math Information I cut and pasted from the Aspire website

=Progressions=

[|Learning Trajectories in Math] (article in pdf format)

Video - The Importance of Progressions

[|Progressions Documents for the Common Core Math Standards] University of Arizona website
 * [|K-6 Geometry]
 * [|6-8 Expressions and Equations]
 * [|6-7 Ratios and Proportional Relationships]
 * [|6-8 Statistics and Probability]
 * 6-8 Number System



=Standards for Mathematical Practice=

List of Teacher Actions and Student Actions

Posters from Jordan School District Organized by practice, posters for K-1, 2-3, 4-5, 6

Video - Passion for Fractions

Video - The Importance of Mathematical Practices

= = =Rigor and High-Cognitive Demand=

Factors associated with the DECLINE of High-Level Cognitive Demand (Stein, Grover, & Henningsen, 2012)
 * **Learning experiences that involve rigor...** || **Learning experiences that do not involve rigor...** ||
 * challenge students || are more "difficult," with no purpose (for example, adding 7ths and 15ths without a real context ||
 * require effort and tenacity by students || require minimal effort ||
 * include entry points and extensions for all students || are offered only to gifted students ||
 * are not always tidy, and can have multiple paths to possible solutions || are scripted, with a neat path to a solution ||
 * provide connections among mathematical ideas || do not connect to other mathematical ideas ||
 * contain rich mathematics that is relevant to students || contain routine procedures with little relevance ||
 * develop strategic and flexible thinking || follow a rote procedure ||
 * encourage reasoning and sense making || require memorization of rules and procedures without understanding ||
 * expect students to be actively involved in their own leanring || often involve teachers doing the work while students watch ||
 * Routinizing problematic aspects of the task
 * Shifting the emphasis from meaning, concepts, or understanding to the correctness or completeness of the answer
 * Providing insufficient time to wrestle with the demanding aspects of the task or so much time that students drift off into off-task behavior
 * Classroom management problems
 * Selecting a task that is inappropriate for a given group of students
 * Failing to hold students accountable for high-level products or processes

Factors associated with the MAINTENANCE of High-Level Cognitive Demand (Stein, Grover, & Henningsen, 2012)
 * Scaffolding of student thinking and reasoning
 * Providing a means by which students can monitor their own progress
 * Modeling of high-level performance by teacher or capable students
 * Pressing for justifications, explanations, and/or meaning through questioning, comments, and/or feedback
 * Selecting tasks that build on students' prior knowledge
 * Drawing frequent conceptual connections
 * Providing sufficient time to explain

=Unpacking=

= =

=Resources=

Alabama College- and Career-Ready Standards for Math Lots of great information here! The Resources page has Quality Core information, correlation documents, item specs, flip books, and more. And don't forget about the Insight Tool!

North Carolina's Lessons for Learning Use the Navigation Bar on the left to find your grade band. The grade level page will have the Lessons for Learning link. This is a PDF file with several lessons for each grade. Click here for an list of lessons and standards.

CCSS Math Resources A clearinghouse for CCSS Math resources organized by grade in a blog format so users can leave comments.

Mathematics Assessment Project Tools for formative and summative assessment that make knowledge and reasoning visible, and help teachers to guide students in how to improve, and monitor their progress. These tools comprise:
 * **Classroom Challenges:** lessons for formative assessment, some focused on developing math concepts, others on non-routine problem solving.
 * **Professional Development Modules:** to help teachers with the new pedagogical challenges that formative assessment presents.
 * **Summative Assessment Task Collection:** to illustrate the range of performance goals required by CCSSM.
 * **Prototype Summative Tests:** designed to help teachers and students monitor their progress, these tests provide a model for examinations that may replace or complement current US tests.


 * Using Positive and Negative Numbers in Context
 * Interpreting Distance-Time Graphs
 * Classifying Solutions to Systems of Equations

Illustrative Mathematics Illustrative Mathematics provides guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students experience in a faithful implementation of the Common Core State Standards, and by publishing other tools that support implementation of the standards.

My grade-specific wikis 6th Grade 7th Grade 8th Grade

Problem Based Curriculum Curriculum maps for grades 6-12 that are linked to problems related to each standard.

[|The Teaching Channel's Math Videos] Videos about teaching math. Many are related to the Common Core.

Harding University Math Specialist A wiki with more math resources than I can list! He is constantly updated this website with new links.

Inside Mathematics A professional resource for educators passionate about improving students' mathematics learning and performance. This site 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 public lessons contain videos, lesson plans, and handouts.
 * Comparing Linear Functions
 * Numerical Patterning
 * Area and Perimeter
 * Equations, Inequalities, Properties

Unit planning resources

=Technology Resources= Illuminations NCTM's collection of online activities, lessons, and links to exemplary resources

Core Math Tools Core Math Tools is a downloadable suite of interactive software tools for algebra and functions, 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 State Standards for Mathematics in terms of content and mathematical practices. Java required.

Core Math Tools is a downloadable suite of interactive software tools for algebra and functions, 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 State Standards for Mathematics in terms of content and mathematical practices. Java required. - See more at: http://www.nctm.org/resources/content.aspx?id=32702#sthash.08hXSpan.dpuf [|Core Math Tools] is a [|downloadable suite] of interactive software tools for algebra and functions, 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 State Standards for Mathematics in terms of content and mathematical practices. Java required. - See more at: http://www.nctm.org/resources/default.aspx?id=230#sthash.KdDAh7Sl.dpuf [|Core Math Tools] is a [|downloadable suite] of interactive software tools for algebra and functions, 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 State Standards for Mathematics in terms of content and mathematical practices. Java required. - See more at: http://www.nctm.org/resources/default.aspx?id=230#sthash.KdDAh7Sl.dpuf Texas Instruments
 * Stem Behind Hollywood
 * TI Math - activities for high school
 * Math Nspired activities for middle school
 * TI-73 activities for middle school

Desmos Free online graphing calculator

Geogebra Free, downloadable interactive geometry software (similar to Geometer's Sketchpad). Google "geogebra" to find lots of resources to use with the software.

=Books=

Common Core Math in a PLC at Work Common Formative Assessment Mathematics Formative Assessment 5 Practices for Orchestrating Productive Mathematics Discussions Number Talks Minilessons for Operations with Fractions, Decimals, and Percents Teaching Student Centered Mathematics How the Brain Learns Mathematics NCTM's Essential Understandings Series Rich and Engaging Mathematical Tasks: Grades 5-9