Common Core State Standards for

K-5 Mathematics

Wake County Public SchoolsElementary Mathematics Department

Spring 2012

K-5 Standards for Mathematical Content

Please find your assigned table.

A partnership between NCSU, Horizon Research, and WCPSS

Project AIM: All Included in Mathematics

WHAT IS PROJECT AIM?

A project to promote mathematics discourse in elementary-school classrooms as a viable approach to support all students in learning meaningful mathematics content.

Five year research and development grant funded by the National Science Foundation.

WHAT IS PROJECT AIM?

Proposed timeline for the project:

We are glad to report that…Nov. 2010: 33 coaches attended

informational meetingsSpring 2011: 28 coaches

attended project meetingsSchool Year 11-12:

8 coaches were selected to continue to work with AIM

26 second grade teachers in teams from 7 schools are participating

We are glad to report that…Our evaluator reported from one principal:

When I talked with one of the principals, she reported that she has seen changes in the teachers’ practice since they have been attending Project AIM. She particularly noted that she has observed more wait time and teachers’ asking students for more than one strategy. She added that their team has gotten closer, and although they were overwhelmed at first, they have gotten a great deal out of the professional development.

We are glad to report that…Teachers told our evaluator:Math was just standing in front of room and

giving direct instruction. [Now I am] giving children ownership, showing what they know. 

Math talk does make them more thoughtful about their answers. They listen and think about their partner’s answer. Before some might shy away if they got a wrong answer, but now we talk about it. … It’s part of the process.

In the past I would say if you see these words you add; if you see these you subtract. The other day one of my weakest said, “You can either add or subtract”. They’re starting to see problems in different ways.

In the beginning, I was frustrated at having to explain my thinking. I am a visual learner. Now I am more comfortable in explaining. It helps me understand math more.

Of course, there are challenges:I’m trying to teach them how to listen to

each other, not to tattle on each other or say that is wrong. Most of them need marriage counseling to learn how to listen and communicate.

I don’t know if we could do it every day... It takes a long time. We want to hear everyone’s voice. Every day we’re not going to have that elaborate a math lesson.

I understand the different kind of discourse but can’t pick it out yet in my kids. I am a long ways from that.

What is next?12-13 School Year:Current coaches will work in pairs and become project facilitators

Recruit and select 80 second grade teachers (20 by coach team).

THIS IS WHERE WE NEED YOUR HELP!

What is next?12-13 School Year:SELECTION CRITERIA:

Teachers who come in teams from the same school (at least two, but preference to highest

percentage of the team) Teachers who work in schools with

high ELLSELECTION PROCESS:

Teachers complete and submit application form by April 30th (form will be posted on Wikki).

Teachers are notified of acceptance by May 31st.

What is next?12-13 School Year:PROGRAM REQUIREMENTS

Participate in Summer Institute Aug. 13-15 at the Friday Institute, NC State

Attend seven meetings from 4:30-7:45 during the school year (location TBD)

INCENTIVES4 CEUs for participation$800 for completion of data collection

What is next?RESEARCH COMPONENTData to be collected from participating

teachers: observations of professional development

sessions, videotapes of professional development

activities, written work in professional development

tasks, questionnaire, content knowledge assessment,interview, classroom practice data (observations,

teaching video, and artifacts packages).

Just like last year…WHAT DO WE NEED FROM PRINCIPALS?

Support!We need you to work with us, encouraging

teams of 2nd grade teachers to participate!We need you to support the work of

teachers as they strengthen Math Discourse in your schools!

Questions? Contact us:Paola Sztajn:

Paola_Sztajn@ncsu.edu

Feedback from January +What did you find most beneficial?

Response # Response #Videos 21 Activities/

Tasks13

Overview of Practice

Standards

17 Posters 13

Outstanding Presentation

16 Info Posted to Wiki

9

Hands-on 8 Discussions 7

Variety of Examples

6 Wise Use of Time

6

Practical Info 5 Handouts 5

Feedback from January Δ

What could have been improved?

Response #More time for: Activities Discussion Processing Learning Watching all videos

22

Tables: Too many at a table Location of tables

6

Having access to videos w/o cost

11

You have been provided more time to focus on

the Common Core Standards for

Mathematical Content today.

You have been rearranged into groups of 5 or 6 to give you more room.

Free videos can be found at

www.insidemathematics.org

“Today’s Meet”http://www.todaysmeet.com/PrincipalsFeb23Back channel discussion throughout

today’s meeting.Items to Consider:Must enter your nameGet your questions

answered immediatelyAnyone with this URL can

see the question & response

Archived for one yearStay focused & professional

Desired Outcomes:By the end of the day, participants will have:

an understanding of the components of the Common Core State Standards for Mathematics.

an understanding of the critical areas within the CCSS for K-5 Mathematics.

an opportunity to view and discuss grade-specific activities from the critical areas.

an understanding of the curriculum work taking place to support the transition to the CCSS.

access to grade level videos to use when working with teachers on the content standards.

an understanding of the six shifts evident within the CCSS for Mathematics.

Overview of the CCSS-M

Today’s Training:

Critical Areas

Curriculum Development

Miscellaneous Math Topics

Grade Level Videos

Shifts in Mathematics

Content Standards:WHAT the students are

learning

Practice vs. Content Standards

Practice Standards:HOW the students are

learning

January

February

Content Standards

Content Standar

ds

Standards

ClustersDomains

Standards

Clusters

Domain

K 1 2 3 4 5 6 7 8 9-12

Counting and

Cardinality

Operations and Algebraic Thinking

Operations and AlgebraicThinking

Expressions and Equations Algebra

Number & Operations in Base Ten

Number & Operations Base Ten Fractions

The Number System Number and Quantity

Measurement and Data Measurementand Data Geometry Geometry

Geometry Geometry

Statistics and Probability

Statistics and Probability

Ratio and Proportional Relationships

Functions Functions

Mod

elin

g

1.NBT.2a4.G.1

Nomenclature

1.NBT.2a4.G.1

Grade Level

1.NBT.2a4.G.1

Domain

1.NBT.2a4.G.1

Standard

Grade LevelOverviews

Mathematical Practices

Domain

Description of Critical Area

Overview of the CCSS-M

Today’s Training:

Critical Areas Curriculum Development

Miscellaneous Math Topics

Grade Level Videos

Shifts in Mathematics

Critical Areas SortAs a group, decide at which grade level each math concept would be taught.

Revisit the Critical Areas SortLet’s review the answers.What adjustments need to be made?

Critical Areas SortTake a moment to reflect on this activity.

What challenges did you face? What are some notable changes you see? How would this activity benefit teachers?

Critical Area Video

Complete the handout as you are viewing the video.

Critical Area VideoIdentify the Standards for Mathematical Practice

that correlate to this video/activity.

Identify the critical area that aligns with this video/activity.

Which instructional practices or strategies are evident?What is consistent from previous years?What changes do you notice?What challenges will teachers face?

Break

Critical Areas ActivitiesUse the back of the

handout.Each table will be

responsible for one grade level.

Use the cards in the center of the table.

Focus on the analysis of the activity, not the answer to the problems!

Critical Areas ActivitiesTable Analysis

Read through the activity.Analyze using the guiding questions on the

handout.You will have 5 minutes to complete.

Critical Areas ActivitiesWhole Group Discussion

Choose a designated speaker for your table. Each grade level will share an overview of the

activity AND big ideas from the table discussions.

Overview of the CCSS-M

Today’s Training:

Critical Areas

Curriculum DevelopmentMiscellaneous Math Topics

Grade Level Videos

Shifts in Mathematics

Focus Group

s

Daily L&T

Guides

MathXAL

Time on

Pacing

Guides

Writers

Mar Apr Ma

y Jun1st Qtr. 2nd Qtr. 3rd Qtr. 4th Qtr.

Resources Available NowGrade Level Overviews

Resources Available NowSample Scope & Sequence

Resources Available NowChanges … At a Glance

What’s changed?

How can we eliminate the gaps?

Math Expressions/ SIOP Correlation

Overview of the CCSS-M

Today’s Training:

Critical Areas

Curriculum Development

Miscellaneous Math TopicsGrade Level Videos

Shifts in Mathematics

Daily Routines Calendar TimeDaily Routines were

established to maintain skills and support standards that are not covered as deeply.

Use daily routines from Math Expressions as indicated on pacing guide

Use supplemental daily routines as provided by WCPSS

There is NO Common Core Math Standard that directly aligns to calendar.

Great opportunity to review spiraling math concepts

Have teachers examine the learning outcome of calendar time. Which standard(s) am I teaching?

Morning meeting timeNo more than 15 minutes for BOTH

AssessmentsCurriculum Cycle:June 2010: North Carolina State Board

of Education adoption of the CCSS2010–2011: Item development for the

Next Generation of Assessments, Edition 42011–2012: Administration of stand-alone

field tests of Edition 4 assessments2012–2013: Operational administration of

Edition 4 assessments aligned to the CCSS2014-2015: National Assessment

http://www.ncpublicschools.org/acre/assessment/online/

AssessmentsCognitive Rigor and Item Complexity“Assessment items will be designed, developed, and

classified to ensure that the cognitive rigor of the operational test forms align to the cognitive complexity and demands of the Common Core State Standards (CCSS) for Mathematics. These items will require students to not only recall information, but also apply concepts and skills and make decisions.”

Types of ItemsMultiple choice, Paper & Pencil with online optionGrades 5 & beyond: up to 8 grid-in responses

http://www.ncpublicschools.org/acre/assessment/online/

AssessmentsDomain Grade 3 Grade 4 Grade 5

Operations and Algebraic Thinking 30–35% 12–17% 5–10%

Number and Operations in Base Ten 5–10% 22–27% 22–27%

Number and Operations—Fractions 20–25% 27–32% 47–52%

Measurement and Data 22–27% 12–17% 10–15%Geometry 10–15% 12–17% 2–7%

Total 100% 100% 100%

http://www.ncpublicschools.org/acre/assessment/online/

National Assessments4th Grade Sample Items

http://www.k12.wa.us/SMARTER/Resources.aspx

Overview of the CCSS-M

Today’s Training:

Critical Areas

Curriculum Development

Miscellaneous Math Topics

Grade Level VideosShifts in Mathematics

Sample Grade Level VideoOne video per grade levelPosted to C-MAPPStill in editing stagesAvailable by the end of FebruaryOnly 1 example today

Learning Trajectory Posters

$20 per poster or $50 for K-12How to order:

http://www.wirelessgeneration.com/posters

ReflectionClick HERE to provide feedback on today’s

training.

Overview of the CCSS-M

Today’s Training:

Critical Areas

Curriculum Development

Miscellaneous Math Topics

Grade Level Videos

Shifts in Mathematics

Common Core Shifts for MathematicsBefore CCSS-M:

“Mile-wide, inch deep”Silos

Memorizing procedures without understanding“Naked” math“Math Wars”

Adapted from http://engageny.org/ and http://www.ode.state.or.us/

In Conclusion

Next Steps

Crosswalks versus Unpacking documentsFocus on Standards for Mathematical Practice

NOWFocus on Content Standards LATERAll IRTs will learn to facilitate an unpacking

during the afternoon learning focus topics Unpacking documents can be found at:

http://www.ncpublicschools.org/acre/standards/common-core-tools/#unmath

“Teach Less, Learn More!”-Dr. Phil Daro