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Common Core Common Core State State
Standards for Standards for MathematicsMathematics
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Learning Targets
Gain an awareness of the content and structure of the Common Core State Standards for Mathematics
Understand the meaning of the Mathematical Practices in the CCSSM and apply the practices to your current classroom instruction
Become familiar with the content standards at your grade level
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www.corestandards.org
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Common Core Notebooks
Math SectionCCSS & GlossaryLearning ProgressionsUnpacking DocumentCrosswalk Document
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Common Core State Standards
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Design and Organization
Standards for Mathematical Practice Carry across all grade levels Describe habits of mind of a mathematically expert
student
Standards for Mathematical Content K-8 standards presented by grade level Domains:
Number and Operations Counting and Cardinality Operations and Algebraic Thinking Number and Operations in Base Ten Number and Operations—Fractions
Measurement and Data Geometry
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Design and Organization
Grade Level Overviews
Mathematical Practices
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Design and Organization Content standards define what students should
understand and be able to do Clusters are groups of related standards Domains are larger groups that progress across
grades
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Grade Level
Domain Standards
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Common Core Resources
GlossaryTables Common addition and subtraction situations
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Unpacking Document
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Crosswalks
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Design and Organization
Standards for Mathematical Practice Carry across all grade levels Describe habits of mind of a mathematically expert
student
Standards for Mathematical Content K-8 standards presented by grade level Domains:
Number and Operations Counting and Cardinality Operations and Algebraic Thinking Number and Operations in Base Ten Number and Operations—Fractions
Measurement and Data Geometry
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1. Make sense of problems and persevere in solving them
2. Reason abstractly and quantitatively3. Construct viable arguments and critique the
reasoning of others4. Model with mathematics5. Use appropriate tools strategically6. Attend to precision7. Look for and make use of structure8. Look for and express regularity in
repeated reasoning
Standards for Mathematical Practices
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Standards for Mathematical Practice
While the Content Standards describe what mathematics students should be able to understand and do,
the Mathematical Practices describe how students should
engage with these mathematical
concepts and skills.
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Mathematical Practices
Mathematical practices describe the habits of mind of mathematically proficient students.
In your classroom, Who is doing the talking? Who is doing the thinking? Who is doing the math?
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Standards for Mathematical Practice2. Reason abstractly and
quantitatively
3. Construct viable arguments and critique the reasoning of others
1.M
ake
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7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning
4. Model with mathematics
5. Use appropriate tools strategically
Reasoning and Explaining
Modeling and Using Tools
Seeing Structure and Generalizing
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1. Make sense of problems and persevere in solving them
2. Reason abstractly and quantitatively3. Construct viable arguments and critique the
reasoning of others4. Model with mathematics5. Use appropriate tools strategically6. Attend to precision7. Look for and make use of structure8. Look for and express regularity in
repeated reasoning
Standards for Mathematical Practices
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Time to Reflect
Summary
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Paper Shapes
Standards
Practices
K.CC.4a, K.CC.5
MP1, MP2, MP4, MP5, MP6
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How Many to 10?
Standards
Practices
K.CC.1-3, K.CC.4a-c, K.OA.1, K.OA.3-4
MP1, MP2
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Teen Numbers
Standards
Practices
K.CC.1-3, K.CC.4a-c, K.NBT.1
MP1, MP2
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Bean Collage
Practices
Standards
K.CC.3, K.CC.4a-c, K.CC.5, K.CC.6
MP1, MP2, MP4, MP6
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Illuminations
Standards
Practices
K.CC.2, K.CC.4.a-c, K.CC.5, K.NBT
MP2, MP4, MP5, MP6,
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Teddy Bear Picnic
Standards
Practices
K.OA.5, K.CC.1-2
MP1, MP2, MP7
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Time to Reflect
Summary
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Content Domains
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Illustrative Mathematics Tools
http://illustrativemathematic
s.org/standards
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Break Time
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Scavenger Hunt
1. What grade is the standard algorithm for multiplication taught?
2. What grade level do students identify as 2-D or 3-D?3. What grade has volume as a critical focus area? 4. Which grade teaches cardinality?
5. By the end of what grade should students memorize addition facts?
6. What grade is responsible to teach the eight mathematical practices?7. Line symmetry is introduced in what grade?8. What grade are the concepts of area and
perimeter taught?9. What grade fluently adds and subtracts within five?10. What grade introduces the concept of probability?
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Focal Points & Critical Areas
Focal PointsFocal Points
Critical Area
In Kindergarten, instructional time should focus on two critical areas: (1) representing and comparing whole numbers, initially with sets of objects; (2) describing shapes and space. More learning time in Kindergarten should be devoted to number than to other topics.
1. Students use numbers, including written numerals, to represent quantities and to solve quantitative problems, such as counting objects in a set; counting out a given number of objects; comparing sets or numerals; and modeling simple joining and separating situations with sets of objects, or eventually with equations such as 5 + 2 = 7 and 7 – 2 = 5. (Kindergarten students should see addition and subtraction equations, and student writing of equations in kindergarten is encouraged, but it is not required.) Students choose, combine, and apply effective strategies for answering quantitative questions, including quickly recognizing the cardinalities of small sets of objects, counting and producing sets of given sizes, counting the number of objects in combined sets, or counting the number of objects that remain in a set after some are taken away.
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Kindergarten Big Ideas
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What’s In
What’s Out
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Challenges for Next Year
What concepts need to be addressed in order to help students transition to the new math standards?
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PATTERNS ARE
EVERYWHERE!
So where are the patterns?
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Calendar Time
Though seasons, days of the week, and months of the year are important to teach, these are not mathematical ideas and should not be considered as part of the mathematics block. (Science Essential Standards: K.E.1, 2.E.1)
Calendar Time (Classroom Routines, Carpet Time, etc) needs to be restructured. It should be used for Classroom Routines and to spiral critical number concepts in mathematics.
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Time to Reflect
Summary
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Investigations Alignment
How will Investigations align with the new Common Core State Standards?http://investigations.terc.edu/CCSS/
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Goals of Investigations
Support students to make sense of mathematics and learn that they can be mathematical thinkers.
Focus on computational fluency with whole numbers as a major goal of the elementary grades.
Provide substantive work in important areas of mathematics—rational numbers, geometry, measurement, data, and early algebra—and connections among them.
Emphasize reasoning about mathematical ideasCommunicate mathematics content and pedagogy to
teachers.Engage the range of learners in understanding
mathematics.
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Investigations and the CCSS
Close alignment between Investigations & the CCSS New work builds on and extends the existing work within
the grade level. Some sessions have been omitted to allow for new
material.
Mathematical Practices are aligned with the goals and principles of Investigations and deeply embedded in the fabric of the curriculum.
The Investigations curriculum when taught as intended, offers students and teachers coherence, focus, clarity and specificity in the teaching and learning of mathematics.
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“While the CCSS Content Standards describe what mathematics students should be able to understand and do, the mathematical practices describe how students should engage with these mathematical concepts and skills. The Investigations curriculum is intentionally designed to promote a deep understanding of mathematics and develop mathematically proficient students who can think, reason, model and solve problems.”
(Standards for Mathematical Practices in Investigations in Number, Data and Space, p. 6.)
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Using Investigations to Implement the Common Core – November 4, 2011
Grade Level Adaptations
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Investigations Alignment
Resources:Investigations and the
Common Core State StandardsAlso found onlinewww.pearsonsuccessnet.com
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Investigations Alignment
www.pearsonsuccessnet.com
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Investigations and the CCSSM
Companion materials to InvestigationsInvestigations and the Common Core State Standards
Each grade level resource book contains:An instructional plan for adapting existing
content and adding new contentTeacher and student materials for new content
Sessions, Classroom Routines/TMM, Teaching/PD Notes, Resource Masters, Assessments
Detailed correlations between Investigations and Mathematical Practices and Content Standards
“Snap-in” Instructional Plan Tabs for each unit
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How the New Content is Addressed
Teaching/Math Notes
Ten Minute-Math/Classroom Routines
Homework & Practice Pages
Sessions
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Content & Pacing
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Time to Reflect
Summary
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CCSSM Resources
Books Magazines
Technology Resources
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DPI Wikihttp://www.ncdpi.wikispaces.net/http://maccss.ncdpi.wikispaces.net/home
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CCSSM Resources
Common Core State Standards Live Binder:http://www.livebinders.com/edit?id=133724
Resources: 21st Century Skills Common Core State Standards & Essential Standards Crosswalks Unpacking Documents Investigations & CCSSM Websites
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Unpacking Document
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Math ResourcesAegom Interactive Smartboard Lessonswww.aegom.com/
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Video Resources
Annenberg Media Videos & Resources http://www.learner.org/resources/ browse. html?
discipline=6
Discovery Education/United Streaming http://streaming.discoveryeducation.com/
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Math ResourcesNational Council of Teachers of Mathematics
(NCTM)www.nctm.org
http://illuminations.nctm.org/
Teaching Children Mathematics Magazines
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Math ResourcesSMART Exchange
http://exchange.smarttech.com/index.html#tab=0
netTrekkerhttp://school.nettrekker.com/authenticate/ipauth/1?np=/home.ftl&pp=/ipauth_error.ftl
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Common Core Resources
ACRE: Common Core State and Essential Standardshttp://www.ncpublicschools.org/acre/standards/ ACRE: Instructional Support Toolshttp://www.ncpublicschools.org/acre/standards/support-tools/ Tools for the Common Core Standardshttp://commoncoretools.wordpress.com/ Illustrative Mathematics (CCSS Tools & Resources)http://illustrativemathematics.org/standards Common Core Wiki (by Drew Polly)http://elemath.pbworks.com/w/page/30621644/common-core National Council of Teachers of Mathematicswww.nctm.orgwww.nctm.org/standards/mathcommoncore/
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Math Resources
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Time to Reflect
Summary