common core state standards for mathematics 1. learning targets gain an awareness of the content and...

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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Number Activities

Bag O’ ThingsBean CollageBuilding StacksLots of LinesMeasure ItMittens & GlovesPaper ShapesYarn Shapes

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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 Practices9

Time to Reflect

Summary

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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

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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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Mathematical Practices

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Design and Organization

Grade Level Overviews

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Time to Reflect

Summary

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Vertical Progression

We will take a look at the progression number concepts from

Kindergarten through 3rd grade.

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Vertical Progression

1. Fact Fluency2. Addition3. Subtraction4. Place Value5. Word Problems

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Gallery Walk

I know that That’s new already… to me …

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Content Domains24

Illustrative Mathematics Tools

http://illustrativemathematics.org/standards

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2nd Grade Big Ideas

Base-

Ten N

otatio

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Add

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and

Sub

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Measurem

entShapes

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What’s In…What’s Out…Sort

With a partner, take a pair of scissors and cut apart the list of standards and sort them by “What’s In”

for 2nd grade and “What’s Out” for 2nd grade.

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What’s In

What’s Out

• Addition with rectangular array•Count within 1,000 by 5s, 10s, and 100s•Mentally add and subtract by 10 & 100•Measurement concepts •Money•Line Plots, Picture Graphs, and Bar Graphs

• Estimations while computing•Temperature•Cut and rearrange 2-D and 3-D figures•Symmetric and congruent figures•Venn diagrams and pictographs•Probability•Repeating and growing patterns

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Teacher Directed Number Activities

•Plus-Minus Stay the Same

•The Game of Tens and Ones

•Greatest Difference Wins

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Time to Reflect

Summary

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Challenges for Next Year

As a table write one challenge per sticky note that addresses the following question.

Please limit your challenges to no more than 5

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

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Challenges Discussion

Addressing the

“Challenges”

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Scavenger Hunt

1. What grade is the standard algorithm for addition taught? 2. What grade introduces cardinality? 3. By what grade should students memorize addition facts:  To 5? To 10? To 20? 4. At what grade level is money introduced and taught? 5. What grade is responsible for teaching the eight mathematical practices?   6. Name three things that are new to the measurement domain. 7. Find the appropriate grade for:

-Bar Graphs -Venn Diagrams

  -Picture Graphs  -Line Plots

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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

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 & Pacing46

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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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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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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Math ResourcesThinkfinityhttp://www.thinkfinity.org/

Extra Mathhttps://www.xtramath.org/

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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

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