Warm-Up Discuss homework at your table: TTLP Thinking Through a Lesson Protocol Resource Inventory (what do you use?) Focal Student Update 1

Michigan Integrated Mathematics Initiative MI 2 – Day 3 8:00 a.m. - 3:00 p.m. 2

Agenda Warm-up & Address Homework Common Core State Standards M-Step / SBAC Atlas Rubicon Unit Perspective 8 mathematical practices Lessons 6 – 8 Lunch Atlas Rubicon Lesson Planning Tool (with focal student in mind)

Common Core State Standards for Mathematics (CCSSM) “These standards are not intended to be new names for old ways of doing business. They are a call to take the next step.” 4

Goals Deepen understanding of CCSS Content Practice Instruction Assessment (day 5) Explore CCSS Units Atlas Highlight Lessons Consider strategies for increasing accessibility 5

Could these standards really be better? 6 How might my colleagues and I continue to make sense of these standards together? What is changing and what is staying the same? Why do the Standards for Mathematical Practice matter? What is the purpose of the MAISA CCSSI Units? Do the MAISA Units replace my textbook?

Frequently Asked Questions Will this curriculum replace my instructional materials? Are the CCSS the current standards in Michigan? How & when will the standards be assessed No, these materials are designed to support teachers’ use of their instructional materials. They are intended to be tools to guide instruction and provide contexts for professional learning. Yes, the CCSS are Michigan’s Standards. They were officially adopted by the SBE on June 15, Spring 2015 M-STEP 7

8 Working Together: Governors and Chief State School Officers

9 Mathematics Standards Standards for Practices Standards for Concepts and Procedures Greater balance of concept and skill development Greater access for all students Major shifts include: Standards for Mathematical Practices Attention toward content as it develops within and across grades levels (trajectories) Teaching with and assessing high demand tasks

Standards for Mathematical Practice “The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important ‘processes and proficiencies’ with longstanding importance in mathematics education.” (CCSS, 2010) 10

Standards for Mathematical Practice 11 William McCallum Standards for Mathematical Practice Tucson, April 2011 Reasoning and explaining Modeling and Using tools Seeing Structure and Generalizing

Common Core State Standards Mathematics Standards for Practice Standards for Concepts and Procedures What implications do you foresee as you consider attending to both types of standards?

13 CCSS States and the Balanced Assessment Consortium

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M-STEP includes the following assessments: A Spring summative assessment for grades 3-8 Practice Test Google Chrome needed Assessment Transition

MDE will be working with the USED to update Michigan’s school accountability model used in its flexibility waiver to the federal No Child Left Behind Act. In these discussions with USED, it will be the Michigan Department of Education’s intent to use the test data from this transitional year for a trial run of a revised accountability system. M-Step Assessment Transition

The test is comprised of a: Computer Adaptive Test (CAT), Classroom Activity, and a Performance Task (PT). M-STEP Components

The purpose of the Classroom Activity is to introduce students to the vocabulary and the context of the Performance Task to follow. The Classroom Activity: is a 30-minute scripted lesson presented to the students; should be administered as close as possible, but no more than 3 days prior to the administration of the Performance Task (PT); may occur on the same day as the PT; and is delivered in class by the teacher, not online. M-STEP Components

The Performance Task (PT) is a multi-item task administered online. Within this PT students are presented with several stimuli. They will respond to a combination of: Technology Enhanced (TE) items, short Constructed Response (CR), and extended CR items. Administering the PT without first administering the Classroom Activity is considered a testing irregularity. M-STEP Components

Claims for Mathematics Summative Assessment 20 “Students can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency.” Claim 1: Concepts and Procedures, ≈ 40% “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 2: Problem Solving ≈ 20% “Students can clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.” Claim 3: Communicating Reasoning ≈ 20% “Students can analyze complex, real-world scenarios and can construct and use mathematical models to interpret and solve problems.” Claim 4: Data Analysis and Modeling ≈ 20%

A Balanced Assessment System These new assessment are scheduled to begin in the spring of 2015!

Smarter Balance Practice Tests 22

Testing Share Out Computer Challenges VS. Math Challenges 23

Common Core State Standards Oakland Initiative The goal of the Common Core State Standards Initiative (CCSSI) is to provide support and direction for educators as they move toward full implementation: CCSS are organized into an aligned curriculum of coherent units of study. The resources are particularly designed to highlight needed shifts in content related and pedagogical practices. Unit Template Highlight Lesson Formative Assessment Resources (video, sample student work, rubrics, instructional websites, etc.)

CCSS Initiative Oakland 25 National Projects CCSS Curriculum Mathematics Writing Team OS Mathematics Pilot and Review Teams Curriculum Leadership Team and Mathematics Leadership Team DRAFT Unit of Study Highlight Lesson Formative Assessment Revise Units, Lessons, & Assessments Trial Lessons Collect & select sample student work Classroom Video Organize and facilitate project activities Facilitate communication among teachers & administrators

Three Year Implementation Process Year Full K-12 curriculum for both ELA and Math aligned to CCSS Year One unit of study per grade (K-12) for both ELA and Math Year Four additional units of study per grade (K- 12) for both ELA and Math Proposed process for development of K-12 curriculum aligned to Common Core State Standards for both ELA and Mathematics

Unit Development by Mathematical Trajectory 27 K1st2nd…11th Unit 1 … Unit 2 … Unit 3. Unit 3. Unit 3. …Unit 3.

Key Features of CCSS Curriculum Emphasis on the use of student thinking within instruction and assessment Content and practice standards that call for a balance of conceptual understanding and procedural fluency Incorporation of mathematical explanations Use of multiple representations (Technology) Integration of accessibility strategies (Universal Design for Learning, UDL) Learning opportunities and assessments that include inquiry and exploration Tools to support implementation … 28

Grade Level Unit Components (Atlas) 1. Unit Themes Graphic Focus Questions Intellectual Processes Key Concepts 2. Content Standards Abstract CCSS Standards 3. Instructional Resources Illuminations Children’s Literature Texas Instruments References Applets 4. Professional Resources NCTM Articles Books 29

Orientation to the Unit (Atlas) Refer to one unit of study for examples that articulate the components of the unit template. 1. What opportunities for helping teachers understand the standards as a set of related ideas and teach the mathematics in a way that emphasizes connections between and among mathematical ideas? 2. How might a single unit support teachers in making both content related and pedagogical shifts in practice? 30

Atlas Unit Similarity & Differences Read Units Record your findings 1 person report 31

Lunch 32

Highlight Lesson Components 1. Model Lesson Themes Graphic Focus Questions Intellectual Processes Key Concepts 2. Model Lesson Content Standards Abstract CCSS Standards Lesson Instructional Resources 3. Sequence of Lesson Activities Selecting and Setting up a Mathematical Task Launch Supporting Students’ Exploration of the Task Sharing and Discussing the Task 33

Highlight Lesson 34

Baseball Lesson Do the Math Discuss the Teacher Resource Materials Available Browse Atlas Lesson Planning Groups 35

Atlas Curriculum Mapping Units, Highlight Lessons, Formative Assessments and other resources available in Atlas by Rubicon 36

37 Units of Study Lesson resources Assessment resources Professional resources Video Sample student work And more

Teachers and Tasks Matter Stein, Grover & Henningsen (1996) Smith & Stein (1998) Stein, Smith, Henningsen & Silver (2000) 38 The Mathematical Tasks Framework Tasks as set up by teachers Tasks as they appear in curricular materials Tasks as enacted by teachers and students Student learning

Thinking Through a Lesson Protocol 39

Formative Assessment: A Difference that Can Make a Difference! What evidence do you have about your focal students that will be helpful in designing the next task or assessment?

Re-engagement A Formative Assessment Strategy: 41 How can we use student work together to re-engage students in the task?

Formative Assessment Components 1. Formative Assessment Task 2. Sequence of Assessment Activities Give the Assessment Task Re-engage: Select and Share Representative Solutions Summarize Independent Practice 42

The CCSS Resources are… not self-enacting raw materials to support teachers as they reorganize their instruction and work to implement the CCSS 43

Lesson Plan and Assessment Focal Student Smarter M-STEP connection to assessment Lesson Planning Performance tasks NYCNYC Oakland School Atlas Tasks 44

Why make time for formative assessment? 45

End of Day Reflections 1. Pick an idea that came up today and that you found particularly interesting. 1. What is your current thinking about this idea? 2. What questions do you still have? 2. What is your reaction to the work we did today? 3. What seems promising and/or challenging at this point? 2. Please Post your thoughts on todaysmeet 46