Putting the Common core State standards for mathematics into action
description
Transcript of Putting the Common core State standards for mathematics into action
![Page 1: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/1.jpg)
PUTTING THE COMMON CORE STATE STANDARDS FOR MATHEMATICS INTO ACTION
Sandy ChristieMathematics Program Manager
September 16, 2013Fife Grades K-5
![Page 2: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/2.jpg)
Where are we in our Experiences with CCSS-Mathematics?
Everyone stand up…..….Sit down if you are relatively new to the CCSS- Mathematics journey
….Sit down if you‘ve spent some time learning about & may have tried out some CCSS-M
….Sit down if you’ve done some in-depth preparation and are well on your way implementing
2
![Page 3: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/3.jpg)
WHAT’S THE SAME? WHAT’S DIFFERENT?
CCSS – Mathematics
3
![Page 4: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/4.jpg)
Same Different
4
Standards will be assessed statewide for accountability and graduation purposes.
2013-2014 last year for 2008 WA State Standards by WA2014-2015 and beyond CCSS through Smarter Balanced Assessment Consortium (SBAC)
K-8 CCSS-M organized by grade level
HS CCSS-M not organized by grade or subject (ex. alg or geo)
WA State Core Process Standards (reasoning, problem solving, & communication) are included in CCSS standards
Now called CCSS Standards for Mathematical Practices
![Page 5: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/5.jpg)
+Standards for Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.3. Construct viable arguments and critique the
reasoning of others.4. Model with mathematics5. Use appropriate tools strategically.6. Attend to precision.7. Look for and make use of structure.8. Look for and express regularity in repeated
reasoning.
![Page 6: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/6.jpg)
+
![Page 7: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/7.jpg)
Same Different
7
“Strand” documents available to show all grade levels (K-8) around a common content theme (now called Domains) -such as Operations and Algebraic Thinking
HS CCSS-M are only organized in “strands”. These common content themes are called Conceptual Categories
![Page 8: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/8.jpg)
Modeling embedded
![Page 9: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/9.jpg)
The Common Core State Standards in mathematics began with progressions: narrative documents describing the progression of a topic across a number of grade levels, informed both by educational research and the structure of mathematics. These documents were then sliced into grade level standards K-8.
![Page 10: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/10.jpg)
Standards by domain – this one goes to 5th grade –
![Page 11: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/11.jpg)
![Page 12: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/12.jpg)
The Progressions for the Common Core State Standards are updated versions of those early progressions drafts, revised and edited to correspond with the Standards by members of the original Progressions work team, together with other mathematicians and education researchers not involved in the initial writing. They note key connections among standards, point out cognitive difficulties and pedagogical solutions, and give more detail on particularly knotty areas of the mathematics.
![Page 13: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/13.jpg)
Where to find CCSS–M Standards by domain & Progressions?
http://commoncoretools.me/tools/
Domains
Progressions
![Page 14: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/14.jpg)
What progressions are available?
http://ime.math.arizona.edu/progressions/
![Page 15: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/15.jpg)
+ Common Core Format/Language
K-8
GradeDomain
Cluster
Standards
(There are no pre-K Common Core Standards)
High School
Conceptual Category
Domain
Cluster
Standards
![Page 16: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/16.jpg)
Structure of the CCSS
Cluster Heading
![Page 17: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/17.jpg)
+The Three Shifts in Mathematics•Focus: Strongly where the standards focus•Coherence: Think across grades and link to major topics within grades•Rigor: Require conceptual understanding, fluency, and application
![Page 18: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/18.jpg)
+
Focus on the Major Work of the GradeTwo levels of focus
• What’s in/What’s out• The standards at each grade level are interconnected
allowing for coherence and rigor
![Page 19: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/19.jpg)
+ OSPI Transition documents
http://www.k12.wa.us/CoreStandards/Mathematics/default.aspx
![Page 20: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/20.jpg)
+ Last page(s) of OSPI Transition document
![Page 21: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/21.jpg)
+ Focus on Major Work
• The materials should devote at least 65% and up to approximately 85% of the class time to the major work of the grade with Grades K–2 nearer the upper end of that range, i.e., 85%.
K-8 Publishers Criteria for CCSS-M
Focus is on clusters, not individual standards.
![Page 22: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/22.jpg)
Content Emphasis by Cluster—Grade 3
![Page 23: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/23.jpg)
CCSS-M Required Fluencies in K-6Grade Standard Required Fluency
K K.OA.5 Add/subtract within 5
1 1.OA.6 Add/subtract within 10
22.OA.2
2.NBT.5
Add/subtract within 20 (know single-digit sums from memory)
Add/subtract within 100
33.OA.7
3.NBT.2
Multiply/divide within 100 (know single-digit products from memory)
Add/subtract within 1000
4 4.NBT.4 Add/subtract within 1,000,000
5 5.NBT.5 Multi-digit multiplication
6 6.NS.2,3Multi-digit division
Multi-digit decimal operations
![Page 24: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/24.jpg)
Algorithms in CCSS-M
Grade Standard Required Fluency
3 3.NBT.2 Add and Subtract within 1000- a range of algorithms
4 4.NBT.4Add and Subtract multi-digit whole numbers using standard algorithm
5 5.NBT.5 Multiply whole numbers using standard algorithm
6 6.NS.2 Divide multi digit numbers using standard algorithm
6 6.NS.3Add, sub, multi, divide multi-digit decimals using standard algorithm
![Page 25: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/25.jpg)
+
Coherence Across and Within Grades• It’s about math making sense.
• The power and elegance of math comes out through carefully laid progressions and connections within grades.
![Page 26: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/26.jpg)
+
Rigor: Illustrations of Conceptual Understanding, Fluency, and Application
• Here rigor does not mean “difficult problems.”• It’s a balance of three fundamental components that result in
deep mathematical understanding.• There must be variety in what students are asked to produce.
![Page 27: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/27.jpg)
+ Turn and Talk• In groups of 2-3:
•From what we’ve looked at so far, what documents/resources would you like to spend more time with? Why?
![Page 28: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/28.jpg)
SMARTER BALANCED ASSESSMENT SYSTEM (SBAC)
How is this different from our current assessments?
![Page 29: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/29.jpg)
A Balanced Assessment System
School Year Last 12 weeks of the year*
DIGITAL CLEARINGHOUSE of formative tools, processes and exemplars; released items and tasks; model curriculum units; educator training; professional development tools and resources; scorer training modules; and teacher collaboration tools.
English Language Arts/Literacy and Mathematics, Grades 3-8 and High School
Computer AdaptiveAssessment and
Performance Tasks
Computer AdaptiveAssessment and
Performance Tasks
Scope, sequence, number and timing of interim assessments locally determined
*Time windows may be adjusted based on results from the research agenda and final implementation decisions.
PERFORMANCE TASKS
•ELA/Literacy•Mathematics
Re-take option
COMPUTER ADAPTIVE TESTS
•ELA/Literacy•Mathematics
Optional Interim
Assessment
Optional Interim
Assessment
29
![Page 30: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/30.jpg)
+ SBAC Assessment Claims for Mathematics
Overall Claim (Gr. 3-8)
Overall Claim (High School)Claim 1
Concepts and Procedures
Claim 2
Problem SolvingClaim 3
Communicating Reasoning
Claim 4
Modeling and Data Analysis
![Page 31: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/31.jpg)
Claim 1 - Concepts and ProceduresStudents can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency.
Grade LevelNumber of
Assessment Targets
3 11
4 12
5 11
6 10
7 9
8 10
11 17
Assessment Targets = Clusters
![Page 32: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/32.jpg)
Claim 2 – Problem Solving
Claim 3: Students can clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.
Claim 2: Students can solve a range of complex well-posed problems in pure and applied mathematics, making productive use of knowledge and problem solving strategies.
Claim 4: Students can analyze complex, real-world scenarios and can construct and use mathematical models to interpret and solve problems.
Claim 4 – Modeling and Data Analysis
Claim 3 – Communicating Reasoning
![Page 33: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/33.jpg)
SBAC – sample & practice test items
• Reflections on problem:
• How are these problems different/same from those in my instructional materials?
• What knowledge does my student need to answer these type of questions?
• What can I do so that student’s are prepared for and have the opportunity to experience these types of problems?
http://www.smarterbalanced.org
![Page 34: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/34.jpg)
3.NF.A.3aUnderstand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
![Page 35: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/35.jpg)
![Page 36: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/36.jpg)
4.NF.B.4cSolve word problems involving multiplication of a fraction by a whole number
![Page 37: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/37.jpg)
![Page 38: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/38.jpg)
5.NF.C.7Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions
![Page 39: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/39.jpg)
![Page 40: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/40.jpg)
![Page 41: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/41.jpg)
![Page 42: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/42.jpg)
![Page 43: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/43.jpg)
![Page 44: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/44.jpg)
![Page 45: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/45.jpg)
SBAC – sample & practice test items
• Reflections on problem:
• How are these problems different/same from those in my instructional materials?
• What knowledge does my student need to answer these type of questions?
• What can I do so that student’s are prepared for and have the opportunity to experience these types of problems? http://www.smarterbalanced.org/
![Page 46: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/46.jpg)
Where can I find more CCSS-M aligned items, especially if I teach K-2?
Illustrative Mathematics (website on handout)
![Page 47: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/47.jpg)
Inside Mathematics
![Page 48: Putting the Common core State standards for mathematics into action](https://reader034.fdocuments.net/reader034/viewer/2022051623/56815922550346895dc6493d/html5/thumbnails/48.jpg)
What supports do you need from your district to implement
the CCSS-M?
Final Reflection
Thank You and Have a Great Day