Welcome to Day Six

Agenda 5 Practices for Mathematical Discourse Sorting Rectangles Understanding Division of Fractions Lessons and Reflection

The Standards for Mathematical Practice Student Reasoning and Sense Making about Mathematics Make sense of problems and persevere in solving them Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Sherry – Have teachers look at their SMP pages we passed previously and state an exemplar of evidence from a student enacting the SMP. Ex. 1 is of SMP 2 – the student is contextualizing a mathematics problem to help solve it. Ex. 2 is of SMP 8 – where the students looked for and expressed regularity in repeated reasoning. Sherry – Tell the teacher to be thinking about examples you can write about students; Explain to Teachers that we will reflect for ourselves about the tasks we do and the connections and evidence of SMP’s, at the end each grant day.

Bring your ideas… As a group of professionals we have made a commitment to helping children attain success in life and a voice in the world. Many times the best part of these kinds of professional development is simply the chance to share ideas, raise questions, and work with other practitioners to improve our own understandings and practice. Please bring your stories of children’s learning with you.

Our Socio-mathematical Norms Listen intently when someone else is talking avoiding distractions Persevere in problem solving; mathematical and pedagogical Solve the problem in more than one way Make your connections explicit - Presentation Ready Contribute by being active and offering ideas and making sense Limit cell phone and technology use to the breaks and lunch unless its part of the task. Be mindful not to steal someone else’s “ice cream” Respect others ideas and perspectives while offering nurturing challenges to ideas that do not make sense to you or create dissonance. Limit non-mathematical and non-pedagogical discussions Gabriel - Make any agreed upon revisions to the norms

Presentation Norms Presenters should find a way to show mathematical thinking, not just say it Presenters should indicate the end of their explanation by stating something like “Are there any questions, discussion, or comments?” Others should listen and make sense of presenters’ ideas. Give feedback to presenters, extend their ideas, connect with other ideas, and ask questions to clarify understandings Gabriel - Make any agreed upon revisions to the norms

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Sorting Rectangles

LUNCH

1 ÷ 2/3 What is the quotient and why does it make sense?

Division of Fractions

Understanding Fraction Division with Cookies

Why does the standard algorithm work? 5 ÷ 3/4 = 5 × 4/3

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Math Content for our Classrooms Each day we will spend time with grade level teams making lesson plans. Each of us will make one plan that is part of a unit of plans the grade level team is working on. Each plan must have the following: Connected mathematics content focus from Ohio’s Mathematics Learning Standards A focus SMP Designed to Orchestrate Productive Mathematics Discussions (The 5 Practices) Handout Page 15

Math Content for our Classrooms Three checks must be made for the completion of lesson plans: Check 1) Consult with Sandy and/or Mary about the mathematics content of the lesson and explain to her its mathematical appropriateness. When the lesson is complete Sandy, our resident mathematician, will sign off on its content (SMC’s). Check 2) Consult with Sherry about the design of the lesson to promote mathematical discourse (5 Practices). Sherry must sign off on the lessons discourse elements. Check 3) Consult with Dr. Matney about the design of the lesson having a focus Standard for Mathematical Practice. Dr. Matney must sign off on the lessons mathematics proficiency elements (SMP’s) ?Questions about COMP Lesson Plans? Handout Page 15

On a sticky note tell us one thing you learned today. Time of Reflection On a sticky note tell us one thing you learned today. Tell us one think you liked or one thing you are still struggling with. Handout Page 15

Stay Safe Please help us put the room in proper order. Please leave your name tents for next time.