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Day 5: Probability and Data Analysis, Lesson Planning, and Reflecting on SMPs

Explore probability and data analysis topics, design lesson plans, reflect on the Standards for Mathematical Practice, and engage in hands-on activities. Develop a robust understanding of probability concepts and learn how to incorporate Universal Design for Learning principles into your lessons.

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Day 5: Probability and Data Analysis, Lesson Planning, and Reflecting on SMPs

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  1. What’s golden? DAY 5

  2. Agenda • Norms • Morning Jumpstart: Wink – Blink – Stare • The Wink Game • From The Giver to The Twenty-One Balloons (MTMS) • Designing lesson #2 • Lunch • Launch after Lunch: Spinning to Win! • How Many Spins to Win the Prize? • Reflecting on SMCs and SMPs • Daily Evaluation

  3. Week 2 Revisions • SMPs – a focus on one of them each day • SMP 2 Monday • SMP 3 Tuesday • SMP 7 Wednesday • SMP 4 Thursday (revisit) • Coherence – What do you mean no more than 3 SMPs? • Lesson plans are due by June 30 to Jessica (jbelche@bgsu.edu) • Mathematical Discourse reading – be ready to discuss on Thursday • Post-it notes – just one • Positive or potential change • Be on time and adhere to time requests.

  4. Week 2 Goals and Outcomes • To develop robust knowledge of probability and data analysis (SP) topics addressed in the grades 6-8 SMCs. • To make sense of and identify the SMPs within lessons. • To write two lessons that attend to UDL (in some fashion) and will teach during 2015-2016. • In sum, these skills and proficiencies will transfer to our Year 2 lesson studies.

  5. Evolving Norms for this PD • We will be ready for class and use our class time effectively. • We will keep our focus on learning and use technology for personal reasons during breaks. • We will be respectful of each other’s time and space and work efficiently. • We will actively participate by (a) listening to each other, (b) giving others our attention, (c) not speaking when someone else is talking, and (d) regularly sharing our ideas in class. • If we disagree with someone or are unclear, we will ask a question about his or her idea and describe why we disagree or are confused. • We will ask questions when we do not understand something. We will comment on others’ ideas rather than the person.

  6. Evolving Norms for this PD • We will take advantage of opportunities to share ideas and gather feedback through presentations. • We will encourage one another to share ideas. • We will show our appreciation to one another for their ideas. • If we disagree with someone or are unclear about their ideas related to mathematics content and pedagogy, we will ask a question about his or her idea and describe why we disagree or are confused. • We will ask questions when we do not understand something about mathematics content and pedagogy. • We will comment on others’ ideas about mathematics content and pedagogy rather than the person.

  7. Evolving Norms for this PD • We will always look for another approach to solve problems. • We will use pictures, graphs, tables, symbols, numbers, manipulatives, and/or words to assist us while doing mathematics. • We will persist with every problem and examine it from multiple perspectives. • We will be mathematically precise whenever possible. • We will explain and justify our ideas in a way that everyone can understand.

  8. Reflecting on SMCs and SMPs • Share across your table the different SMPs and SMCs addressed by Friday’s activities. • Be purposeful indicating what specific behaviors or habits led you to conclude that you engaged in a specific SMP. • Similarly, what did the instructor(s) do to encourage/foster/facilitate that SMP? • One group member will add to the list at the front of the classroom.

  9. Morning Jumpstart: Wink – Blink – Stare This is a variation of Rock – Paper – Scissors! Have fun!  Stare beats Blink beats Blink Wink Wink beats Stare

  10. The Wink Game

  11. The Wink Game In your cup are chips that are marked either with a dot or a dash. You will pick one chip, record the symbol on the chip, and return the chip to the cup. Then you will pick a second chip from the cup, record its symbol, and then return it to the cup. The result will be a Wink, a Blink, or a Stare. Which of these results (Wink, Blink, or Stare) do you think will occur more often, or do you think they will occur about the same number of times? Why? Record your prediction and reasoning on the back of the handout.

  12. The Wink Game Simulating and Analyzing The Wink Game

  13. Reading and Reflection From The Giver to The Twenty-One Balloons: Explorations with Probability(Mathematics Teaching in the Middle School, May 1999)

  14. Lesson Design • Work in grade-level teams to plan a set of lessons that everyone can use. • Think about: • Who is focusing on what SP content standards? • How will all 8 SMPs be addressed across the group’s lessons? • What TTLP questions will you (individually) focus on? • How will students be assessed? (This doesn’t have to be formal!)

  15. Lunch

  16. Launch after Lunch: Spinning to Win! Spin and land on silver to win a bag of candy for your table! Each spin costs 3 Hershey Kisses. You must buy all of your spins at one time. If you win, your turn is over. How many spins do you want to buy?

  17. How Many Spins to Win the Prize? At the school carnival, there is a game in which students spin a large spinner. The spinner has four equal sections: silver, green, blue, and red. Each section represents the color of the toy car that can be won. To play the game, Sarah has to buy some tickets at the ticket booth. She needs one ticket each time she spins the spinner. She also wants to win a silver toy car. If the spinner stops on silver on her first spin, Sarah wins. If not, she has to spin the spinner until it stops on silver. So, she needs to decide how many tickets she should buy to play this game to win a silver toy car.

  18. Reflecting on SMCs and SMPs • Share across your table with different SMPs and SMCs addressed by today’s activities. • Be purposeful indicating what specific behaviors or habits led you to conclude that you engaged in a specific SMP. • Similarly, what did the instructor(s) do to encourage/foster/facilitate that SMP?

  19. Take Care • Please complete the assessment and give it to one of the instructors. • You may leave personal items in the room (e.g., books, calculators, and notebooks). • Please help us keep the room in order by throwing away any trash and tidying your area. • Bring snacks, drinks, and/or other food to share! • See you tomorrow and travel safely!

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