K-12 Mathematics Common Core State Standards

Take 5 minutes to read the Introduction. Popcorn out one thing that is confirmed for you.

Lessons Learned After two decades of standards based accountability: Too many standards Lack of student motivation “Cover” at “pace” is a failure Tells teachers to ignore students Turn the page regardless Shrug your shoulders and do what “they” say Mathematics is not a list of topics to cover Singapore: “Teach less, learn more”

Lessons Learned TIMSS: math performance in the US is being compromised by a lack of focus and coherence in the “mile wide, inch deep” curriculum Hong Kong students outscore U.S. students on the grade 4 TIMSS, even though Hong Kong only teaches about half of the tested topics. U.S. covers over 80% of the tested topics. High-performing countries spend more time on mathematically central concepts: greater depth and coherence.

Answer Getting vs. Learning Mathematics United States How can I teach my kids to get the answer to this problem? Use mathematics they already know. Easy, reliable, works with bottom half, good for classroom management [so they could pass the test]. Japan How can I use this problem to teach mathematics they don’t already know?

Teaching Against the Test = [ ] 3 + [ ] = 8 [ ] + 5 = = = 3

Teaching for Understanding = 8 What is the relationship between 8 – 3 = 5 and = 8?

Overview of K-8 Mathematics Standards The K-5 standards provide students with a solid foundation in whole numbers, addition, subtraction, multiplication, division, fractions and decimals The K – 8 standards describe robust learning in geometry, algebra, and probability and statistics Modeled after the focus of standards from high-performing nations, the standards for grades 7 and 8 include significant algebra and geometry content Students who have completed 7 th grade and mastered the content and skills will be prepared for algebra, in 8 th grade or after

How to Read the Standards: K-8 introduction (see page 13)

How to Read the Standards: K-8 Overview (see page 14)

How to Read the Standards: K-8 Domains are larger groups of related standards. Standards from different domains may sometimes be closely related. DOMAIN STANDARD CLUSTER Standards define what students should understand and be able to do. Clusters are groups of related standards. Note that standards from different clusters may sometimes be closely related, because mathematics is a connected subject.

How to Read the Standards: K-8 Please take a moment to review the Overview. Role Play(KCC Counting and Cardinality) Please discuss with an elbow partner the principal’s response. A Deeper Look at the Geometry Domain Lunch

Go Figure There are 125 sheep and 5 dogs in a flock. How old is the shepherd?

A Student’s Response There are 125 sheep and 5 dogs in a flock. How old is the shepherd? 125 x 5 = 625extremely big = 130too big = 120still big 125  5 = 25That works!

Standards for Mathematical Practice 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 mathematics. 5. 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.

Activity: Looking at Student Work Examine the piece of student work through the lens of 3 types of Standards : Mathematical Performance: what kids should be able to do: Mathematical Understanding : ability to justify why a statement is true or where a mathematical rule comes from 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 mathematics. 5. 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. Analyze the task with the lens of the standards.

VIDEOS We will view a video clip of a third grade teacher through the lens of three types of standards: Mathematical Performance Mathematical Understanding Mathematical Practice

Geometry Assessment Samples Please take a moment to review the samples of Geometry questions from the 2009 NAEP exam ( We will use these to determine next steps in planning for CCSS.

Activity: Implications Each table prepares a list of the five most important changes they see as a result of the Math Standards for each of the 5 levers. 1.Curriculum: What are the academic tasks (content, knowledge, skills) that we ask students to do? 2.Pedagogy: How do teachers support student learning? 3.Assessment: How do we know students are learning? 4.Collaboration: How do adults learn and improve their practice? 5.Structure: How do we use time, space, technology, and other resources to enable student learning? 1.Curriculum: What are the academic tasks (content, knowledge, skills) that we ask students to do? 2.Pedagogy: How do teachers support student learning? 3.Assessment: How do we know students are learning? 4.Collaboration: How do adults learn and improve their practice? 5.Structure: How do we use time, space, technology, and other resources to enable student learning?