1. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM Equations and Expressions Grades 6-9 Crafting Teaching Sequences for Instant, Short-Term and Extended Interventions

2. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Instant

3. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Respond in the Moment

4. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Instant Short-term

5. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Respond after Analysis and Planning

6. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 1: Analyze student work…

7. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 2: Determine the assumptions as to the cause of the student or students’ error.

8. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 3: Analyze the teaching sequence of the assessment’s module.

9. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 4: Craft a short-term intervention

10. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 5: Encode success with a “2 nd chance” assessment.

11. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Suggested Process for Short-Term Interventions Step 1: Analyze the student work. Step 2: Determine assumptions. Step 3: Analyze teaching sequences within the module of instruction. Step 4: Craft an intervention sequence. Step 5: After teaching, give a “2 nd chance” assessment.

12. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Instant Short-term Extended

13. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Respond After Assessment, Analysis and Planning

14. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 1: Analyze student work.

15. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 2: Plan probing questions and assess to determine learning gaps and points of strength.

16. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 3: Study the teaching sequences from prior modules.

17. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 4: Craft an extended teaching sequence for intervention.

18. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Step 5: Create “2 nd Chance” assessments to encode success.

19. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Suggested Process for an Extended Intervention Step 1: Analyze student work. Step 2: Plan probing questions and assess. Step 3: Analyze foundational teaching sequences. Step 4: Craft an intervention sequence. Step 5: Create “2 nd chance” assessments to encode success.

20. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Make a poster to display the extended teaching sequence

21. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Teach Plan (Craft) Analyze Assess

22. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Why do Teaching Sequences Matter? #958536 (C) Mat Hayward / Fotolia

23. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Reflection How might “studying teaching materials” be instrumental in educators becoming the “taxi drivers” whose cabs we would want to catch when late to the airport? How might studying, creating, and sharing extended teaching sequences support teachers in more deeply understanding mathematics?