1 Math CAMPPP 2011 Perspectives ??? Proportional Reasoning Breakout # 2

Proportional Reasoning – Breakout 2 Learning Goals: Recognize the importance of clearly identifying: –What we want students to know (learning goal). –How we will know that they learned it (consolidating question). Practice designing lesson frameworks by starting with learning goals and consolidating question(s). Explore proportional reasoning concepts in curriculum documents. 22

Proportional Reasoning – Breakout 2 Minds On ~ 5 minutes Read the article “The House” individually. Use a highlighter to highlight important information. Facilitators will visit each table before you begin reading to provide further instructions. 33

Proportional Reasoning – Breakout 2 Minds On ~ 10 minutes Individually choose what you consider to be the TOP 3 key features that you have highlighted. Round Robin – each person will share their TOP 3 with a justification. Come to consensus on your table’s TOP 3. Be prepared to share and justify. 44

Proportional Reasoning – Breakout 2 Minds On ~ 5 minutes Whole Group Share the ‘lens’ that your table was assigned. Share your TOP 3 key features of the house with justification. SUMMARIZE How does this activity relate to building Learning Goals and Consolidating Questions? 55

Proportional Reasoning – Breakout 2 Action ~ 10 minutes Whole Group The Big Ideas and Proportional Reasoning K-12 resource on EduGAINS provides us with samples of how to create and connect Big Ideas, Curriculum Expectations, Learning Goals and Consolidation Questions Math GAINS →Continuum and Connections → Big Ideas and Proportional Reasoning K Let’s take a look together!

Proportional Reasoning – Breakout 2 Action ~ 20 minutes Pairs Move to the corner of the room that we have designated for grade 9, 10, 11 or 12 and find someone within your corner who wishes to work on a common course. Get materials you will need: Chart Paper, Markers, Curriculum Document (hardcopy or online), access to EduGAINS Find a space to work. 77

Proportional Reasoning – Breakout 2 Action ~ 20 minutes (continued) ACTIVITY: You are designing the framework for a lesson: 1.Find an expectation (or cluster of expectations) that addresses proportional reasoning in the course you have chosen. 2.On the chart paper, record: The course code and the curriculum expectation(s) chosen. The learning goal you would have for your students. The consolidating question(s). Think of the broader context and include a statement related to the Big Idea/Enduring Understanding that is addressed by the curriculum expectation(s). 3.Post your chart paper when you are done. 88

Proportional Reasoning – Breakout 2 Action ~ 10 minutes Gallery Walk View one another’s work Explicitly look for the connections between the curriculum expectation, learning goal and consolidating question(s). Be sure to ask the ‘artists’ to explain their thinking if you have questions. 99

Proportional Reasoning – Breakout 2 Consolidate ~ 10 minutes Whole Group - Guiding Questions to Discuss What do you see as the important differences between the curriculum expectation and the learning goal? Why is it important to make this distinction? 10

Proportional Reasoning – Breakout 2 Consolidate ~ 10 minutes Guiding Questions to Discuss Would you always state the learning goal at the beginning of the lesson? Why/why not? What do you consider to be the characteristics of a good consolidating question? 11

Proportional Reasoning – Breakout 2 Consolidate ~ 5 minutes Perspective Passport / Math Map Individually reflect on your learning and next steps. Record in your Passport or on your Math Map. 12