common core state standards for mathematics. learning targets gain an awareness of the content and...

Common Core Common Core State State

Standards for Standards for MathematicsMathematics

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

www.corestandards.org

Common Core Notebooks

Math SectionCCSS & GlossaryLearning ProgressionsUnpacking DocumentCrosswalk Document

Common Core State Standards

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


Grade Level Overviews

Mathematical Practices

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

Grade Level

Domain Standards

Common Core Resources

GlossaryTables Common addition and subtraction situations

Unpacking Document

Crosswalks


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

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

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.

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?

Standards for Mathematical Practice2. Reason abstractly and

quantitatively

3. Construct viable arguments and critique the reasoning of others

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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

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

Time to Reflect

Summary

Paper Shapes

Standards

Practices

K.CC.4a, K.CC.5

MP1, MP2, MP4, MP5, MP6

How Many to 10?

Standards

Practices

K.CC.1-3, K.CC.4a-c, K.OA.1, K.OA.3-4

MP1, MP2

Teen Numbers

Standards

Practices

K.CC.1-3, K.CC.4a-c, K.NBT.1

MP1, MP2

Bean Collage

Practices

Standards

K.CC.3, K.CC.4a-c, K.CC.5, K.CC.6

MP1, MP2, MP4, MP6

Illuminations

Standards

Practices

K.CC.2, K.CC.4.a-c, K.CC.5, K.NBT

MP2, MP4, MP5, MP6,

Teddy Bear Picnic

Standards

Practices

K.OA.5, K.CC.1-2

MP1, MP2, MP7

Time to Reflect

Summary

Content Domains

Illustrative Mathematics Tools

http://illustrativemathematic

s.org/standards

Break Time

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?

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.

Kindergarten Big Ideas

What’s In

What’s Out

Challenges for Next Year

What concepts need to be addressed in order to help students transition to the new math standards?

PATTERNS ARE

EVERYWHERE!

So where are the patterns?

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.

Time to Reflect

Summary

Investigations Alignment

How will Investigations align with the new Common Core State Standards?http://investigations.terc.edu/CCSS/

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.

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.

“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.)

Using Investigations to Implement the Common Core – November 4, 2011

Grade Level Adaptations


Resources:Investigations and the

Common Core State StandardsAlso found onlinewww.pearsonsuccessnet.com


www.pearsonsuccessnet.com

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

How the New Content is Addressed

Teaching/Math Notes

Ten Minute-Math/Classroom Routines

Homework & Practice Pages

Sessions

Content & Pacing

Time to Reflect

Summary

CCSSM Resources

Books Magazines

Technology Resources

DPI Wikihttp://www.ncdpi.wikispaces.net/http://maccss.ncdpi.wikispaces.net/home

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

Unpacking Document

Math ResourcesAegom Interactive Smartboard Lessonswww.aegom.com/

Video Resources

Annenberg Media Videos & Resources http://www.learner.org/resources/ browse. html?

discipline=6

Discovery Education/United Streaming http://streaming.discoveryeducation.com/

Math ResourcesNational Council of Teachers of Mathematics

(NCTM)www.nctm.org

http://illuminations.nctm.org/

Teaching Children Mathematics Magazines

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

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/

Math Resources

Time to Reflect

Summary