A Story of Units

1. A Story of Units Grade K – Module 4

2. Session Objectives • Examine the development of mathematical understanding across the module by focusing on several lessons in Module 4. • Lesson demonstration • Opportunity for you to teach a lesson to your peers • Observe and score an assessment • Introduce mathematical models and instructional strategies to support curriculum implementation.

3. Agenda Introduction to the Module Lesson Study Administration of Assessments Module Review

4. Curriculum Overview of A Story of Units

5. Introduction to the Module Module Overview • Read the narrative in the Module Overview. • Look at the objective chart. • Video/demonstration focuses on L1 • You will have an opportunity to try key lessons and share concepts from each topic

6. Agenda Introduction to the Module Lesson Study Administration of Assessments Module Review

7. Demonstration Lesson Lesson 1, Concept Development Lesson 1 objective: Model composition and decomposition of numbers to 5 using actions, objects, and drawings.

8. Demonstration Lesson Lesson 1, Concept Development

9. Number Bond Model • Objects • Drawings • Numbers Module 4 – Topic A Actions

10. Number Bond Flash Lesson 7, Fluency

11. Participant Demonstrations Module 4 TB, Lesson 10: AP, CD TC, Lesson 13: CD, SD TD, Lessons 19, 20, 22: Demonstrate subtraction strategies: break off, hide, and cross off a part TE,Lesson 27: CD, SD TF, Lessons 29-31: Describe the progression of addition word problems in this topic. TG, Lessons 33-36: Describe the progression of subtraction word problems in this topic. TH, Lesson 37: CD and SD

12. Participant Demonstration Lesson Module 4, Lesson 10 • Lesson 10 objective: Model decompositions of 6-8 using linking cube sticks to see patterns. (Application Problem and Concept Development) • How will decomposing numbers less than or equal to 10 in more than one way help students with Level 2 and 3 problem solving? (K.OA.3)

13. Participant Demonstration Lesson Module 4, Lesson 13 • Lesson 13 objective: Represent decomposition and composition addition stories to 6 with drawing and equations with no unknown. (Concept Development and Debrief) • How do math drawings and number bonds support the use of number sentences (equations) in this lesson?

14. Participant Demonstration Lesson Module 4, Topic D • Lessons 19, 20, 22: Demonstrate subtraction methods: break off, hide, and cross off a part • How do these concrete methods help Kindergarteners understand the concept of subtraction?

15. Participant Demonstration Lesson Module 4, Lesson 27 • Lesson 27: Model decompositions of 10 using a story situation, objects, and number bonds. • Why do Kindergarteners need to be able to find the number that makes 10 with any number from 1 to 9? (K.OA.4)

16. Core Fluency Practice Sets • Daily practice for review and mastery of the sums and differences with totals through 5 • 5 sets (easy  hard) • 96 seconds (6/problem) • Students move at own pace through series Module 4, Topics F, G & H

17. Core Fluency Sprints • Cover sums and differences with totals through 5 • 4 sets (easy  hard) • Select one sprint for entire class Module 4, Topics F, G & H

18. Participant Demonstration Lesson Module 4, Topic F • Lessons 29-31: Describe the progression of addition word problems in this topic. • How does the progression of word problems adhere to the OA Progressions Table 2: Addition and subtraction situations by grade level? (K.OA.2)

19. Addition Situations by Grade Level Module 4, Topic F Operations and Algebraic Thinking Progressions Document, p. 9

20. Participant Demonstration Lesson Module 4, Topic G • Lessons 33-36: Describe the progression of subtraction word problems in this topic. • How does the progression of word problems adhere to the OA Progressions Table 2: Addition and subtraction situations by grade level? (K.OA.2)

21. Subtraction Situations by Grade Level Module 4, Topic G Operations and Algebraic Thinking Progressions Document, p. 9

22. Participant Demonstration Lesson Module 4, Lesson 37 • Lesson 37: Add or subtract 0 to get the same number and relate to word problems wherein the same quantity that joins a set, separates. • How does working with the number path aid students’ understanding of the additive identity? • How does the number path assist students in understanding that addition and subtraction are inverse operations?

23. Agenda Introduction to the Module Lesson Study Administration of Assessments Module Review

24. Module Assessments

25. Module Assessments • What are your first impressions seeing this video? • How do the questions here assess students’ mathematical understanding?

26. Module Assessments: Rubrics • Read the rubric for Module 4 Topic A. • Where does this student fall on the progression toward mastery?

27. Module Assessments: Reflection • What skills or understanding has the student mastered? • Where do the student’s misunderstandings lie? • What can you do to support this student towards reaching mastery of this concept/standard? • Turn and talk with others at your table about your observations.

28. Agenda Introduction to the Module Concept Development Administration of Assessments Module Review

29. Biggest Takeaway • Turn and Talk: • What questions were answered for you? • What new questions have surfaced?

30. Key Points • Numbers can be decomposed from wholes into parts in a variety of ways. These decompositions can be represented with concrete, pictorial, or numerical number bonds. • Using number bonds and drawings, story situations can be mathematized and subsequently represented as addition or subtraction equations. • In the context of number bonds, addition and subtraction sentences, students formalize their understanding of part/whole relationships and begin to see the inverse relationship between addition and subtraction.