1. Welcome to Day Five

2. Agenda Linear Function Video Cases Break Mystery Graphs Lunch
Function Learning Stations
Lines of Best Fit
Marcy’s Dot Pattern & Assessment of Thinking
Reflection

3. Preparing to Solve the Task
More Dots
Norm Reminder

4. Tasks 1 & 2

5. Working on the Task Individually work on both tasks
Graph both tasks on the same grid using different colored pencils
Compare your results with a partner

6. Analyzing the Tasks
What do you notice about the table and graphs for both tasks?
What is similar and different about them?
What accounts for these differences and/or similarities?
How do these relate to the task patterns?

7. Preparing to View Video
Norms for viewing teacher video.
Video Transcriptions

8. Video 1 & 2: “Angel’s Question”

9. Video Notes
Make notes of important and/or significant aspects of the video.
Preparing for 2nd Video
Same Video Transcripts

10. Video Discussion
Consider these questions individually, then discuss with a partner.
What evidences of student thinking did you observe?
What was an important points you noticed in the video?
Where there any evidences of the

11. Task Extension Suppose another “arm” is added to the Growing Dots.
What do you predict the equation and graph for this pattern will change from the previous two tasks?

12. Completing the Task
Individually construct a table and graph for this pattern.
Discuss these questions with your small group.
What is similar/different in this situation?
What has changed from the previous patterns you worked on today?

13. Math Notes What SMP’s did you find yourself engaging in with the task?
What was mathematically significant for you as you interacted with the task, task strategies and videos?
What are the important mathematical ideas you want to remember about this session?

14. BREAK

15. What Do You Emphasize?
Approaching Graphing

16. Graphs to Stories Stories to Graphs
Activities
Graphs to Stories Stories to Graphs

17. Example

18. Your Turn!
Solve the rest of the Graphs to Stories and Stories to Graphs with a partner.
Be ready to share your stories and graphs!

19. Mystery Graphs
This activity is taken from Investigations in Number, Data, and Space and can be used at about any grade level from Grade 4 upward.

20. Lines of Best Fit Ice Cream Example Create a scatterplot on the TI-84
Make a visual line of best fit
What do the slope and y-intercept tell us?

21. LUNCH

22. Learning Stations Project
Project Descriptions The Stations Your Turn!!

23. BREAK

24. Assessment of Algebraic Thinking
Marcy’s Dot Pattern
Assessment of Algebraic Thinking

25. Marcy’s Dot Pattern

26. Tabular Approach

27. Visual Approach

28. An Alternate Approach

29. 0/1 – No Response/Incorrect

30. 2 – Minimal Response

31. 3 – Partial Response

32. 4 - Satisfactory

33. 5 – Extended Response

34. Messages Algebraic Reasoning and Patterning extend across the grades
Many connections can be made among number, algebra, geometry, and statistics
Students need real-world examples to make sense of what can be abstract ideas
We are making progress but have a long way to go!

35. Curriculum Connection
How can we connect important mathematical ideas together in a manner to deepen understanding by students?

36. Curriculum Connections
Review the CCSSM Algebra Standards for your grade level.
How do the activities today align with the algebra expectations at your grade level?
How will you use the activities next year with students?

37. Time of Reflection
Take a few moments to reflect on SMP’s connected to the content tasks we did today. -- Name of the task and related SMP’s -- Evidence for the chosen SMP’s -- Jot down how you contributed to our shared community of professionals and what mathematical and/or pedagogical knowledge you are taking away from today.