1. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Grade 1 – Module 6

2. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Session Objectives Examination of the development of mathematical understanding across the module using a focus on Concept Development within the lessons. Introduction to mathematical models and instructional strategies to support implementation of A Story of Units. Consideration of scaffolding to provide multiple entry points for students at all levels..

3. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units A Story of Units Scaffolding Mathematics Instruction Key Points Amplify Language Move from Concrete to Representation to Abstract Give Specific Guidelines for Speaking, Reading, Writing, or Listening

4. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Amplify Language Give clear mathematical definitions Explain multiple meanings Maintain consistency and point out interchangeable terminology

5. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Move from Concrete to Representation to Abstract Use familiar contexts Visually organize thinking Provide multiple representations

6. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Give Guidelines for Speaking, Reading, Writing, or Listening Provide structured opportunities to speak and write in English Give explicit instructions in student-friendly language Use visuals or examples in giving instructions.

7. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Points Amplify Language Move from Concrete to Representation to Abstract Give Guidelines for Speaking, Reading, Writing, or Listening

8. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Agenda

9. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Curriculum Overview of A Story of Units

10. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Overview 10 Read the Module Overview. Consider the following questions: What similarities do you see from Module 4? What new learning stands out to you? Module Overview

11. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Overview 11 Module 6 extends the following learning from Module 4 to larger numbers: Comparison symbols (Topic B) Numbers in place value charts (Topic B) 10 more/10 less (Topic B) Addition two-digit numbers (Topic C and D) Use of making ten strategy (Topic C and D)

12. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Overview 12 Unique Module 6 learning includes: Comparison word problems with double tape diagrams Counting, reading and recording numbers to 120 Addition of numbers with sums from 41 through 100 Introduction of nickels and quarters

13. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units What difficulties would you anticipate with student understanding of the mathematics in this section? What scaffolds would be effective for addressing those difficulties? Turn and Talk

14. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Scaffolds provided in the Story of Units Multiple Means of Representation Provide Options for Perception, Language and Symbols and Comprehensi on Multiple Means for Action and Expression Provide Options for Physical Actions, Expressive Skills, Fluency and Executive Function Multiple Means of Engagement Provide Options for recruiting interest, sustaining effort and persistence and self regulation

15. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module 6 Topics 15 Topic A: Comparison Word Problems Topic B: Numbers to 120 Topic C: Addition to 100 Using Place Value Understanding Topic D: Varied Place Value Strategies for Addition to 100 Topic E: Coins and their Values Topic F: Varied Problem Types within 20 Topic G: Culminating Experiences

16. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Agenda

17. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Word Problem Types Add To and Take From Situations Put Together and Take Apart Situations Compare Situations Progressions Document, CC & OA K-5, p.9

18. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Add To and Take From Situations Progressions Document, CC & OA K-5, p.9 Add to/Take From with Result Unknown

19. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Add To and Take From Situations Progressions Document, CC & OA K-5, p.9 Add to/Take From with Result Unknown

20. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Add To and Take From Situations Add To with Result UnknownTake From with Result Unknown

21. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Add To and Take From Situations Progressions Document, CC & OA K-5, p.9 Add To/Take From with Change Unknown

22. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Add To and Take From Situations Add To with Change Unknown

23. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Add To and Take From Situations Take From with Change Unknown

24. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Add To and Take From Situations Progressions Document CC & OA K-5, p.9 Add To/Take From with Start Unknown

25. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Add To and Take From Situations Add To with Start Unknown

26. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Add To and Take From Situations Take From with Start Unknown

27. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Put Together and Take Apart Situations Progressions Document, CC & OA K-5, p.9

28. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Put Together and Take Apart Situations Progressions Document, CC & OA K-5, p.9

29. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Put Together and Take Apart Situations Put Together with Total Unknown

30. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Put Together and Take Apart Situations Put Together with Both Addends Unknown

31. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Put Together and Take Apart Situations Progressions Document, CC & OA K-5, p.9

32. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Put Together and Take Apart Situations Put Together/Take Apart with Addend Unknown

33. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Compare Situations Progressions Document, CC & OA K-5, p.9

34. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Compare Situations Concretely Introduced in Module 3. Introduced at pictorial and abstract levels in Module 6, Topic A through double tape diagrams.

35. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Agenda

36. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic A: Comparison Word Problems Lessons 1 and 2 Rose wrote 8 letters to her friends. Her goal is to write 12 letters. How many more letters does she need to write to meet her goal?

37. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic A: Comparison Word Problems Lessons 1 and 2 Rose wrote 8 letters. Nikil wrote 12 letters. How many more letters did Nikil write than Rose?

38. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic A: Comparison Word Problems Lessons 1 and 2 How many fewer letters did Rose write than Nikil? How do you know?

39. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic A: Comparison Word Problems Lessons 1 and 2 Try this with a partner: Tamra collected 9 seashells on the beach. Julio collected 11 seashells. a. How many more seashells did Julio collect? b. How many fewer seashells did Tamra collect? c. How many seashells did Tamra and Julio collect?

40. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic A: Comparison Word Problems Lessons 1 and 2 Tamra found 12 ladybugs. Willie found 4 fewer ladybugs than Tamra. How many ladybugs did Willie find?

41. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic A: Comparison Word Problems Lessons 1 and 2 Try this with a partner: Shanika used 11 blocks to build a house. Julio used 5 more blocks than Shanika. How many blocks did Julio use?

42. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic A: Comparison Word Problems Lessons 1 and 2 Ben solved 6 math problems. Robin solved 4 more problems than Ben. How many problems did Robin solve?

43. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units How does this task align with the Universal Design for Learning (UDL) in providing multiple options for: Representation: the “what of learning” Action/Expression: the “how” of learning Engagement: the “why” of learning Turn and Talk

44. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Review: Word Problem Types Work together to: Read the addition or subtraction situation given to your table. Write a new word problem for the situation presented. Show different ways students might solve it using the RDW (Read, Draw, Write) Approach. Discuss which types of students may choose each approach and modifications that may be needed to meet the needs of different learners.

45. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B: Numbers to 120 Conceptual understanding includes: -Place value (visualizing and organizing groups of tens and groups of ones) -Count and write within 120 -Identify 10 more and 10 less -Comparison symbols to compare numbers Lessons 3-9

46. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B: Numbers to 120 Lessons 3-9

47. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B: Numbers to 120 Lessons 3-9

48. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B: Numbers to 120 Lessons 3-9

49. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B: Numbers to 120 Lessons 3-9

50. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lessons 10-17

51. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lessons 10-17 15 + 15 What are some different ways these numbers can be added?

52. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lessons 10-17 Try these: 45 + 45 26 + 14 66 + 34

53. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lessons 10-17 Differentiated Practice

54. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lessons 10-17

55. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lessons 10-17 Try it: 46 + 28

56. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Try it: 46 + 28 Lessons 10-17 I added 20 to 64 first. I made a ten first. I added the 4 tens to 2 tens first.

57. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lessons 10-17 Try it: 59 + 34

58. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lesson 15 Let’s use quick tens! We can line them up and add ones with ones and tens with tens. 59 + 34

59. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lesson 16 Try it: 58 + 36

60. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding Lessons 16-17 58 + 36

61. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C: Addition to 100 Using Place Value Understanding 47 + 36 Lessons 16 - 17

62. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic D: Varied Place Value Strategies for Addition to 100 Lessons 18-19

63. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic D: Varied Place Value Strategies for Addition to 100 Lessons 18-19

64. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Universal Design for Learning Scaffolds What scaffolds did you notice embedded in the lessons in this topic? What other scaffolds may be necessary to help students be successful with the concepts in this topic?

65. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Mid-Module Assessment Topics A - D

66. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E: Coins and Their Values Lessons 20-24

67. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E: Coins and Their Values Lessons 20-24

68. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic F: Varied Problem Types within 20 Lessons 25-27

69. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic F: Varied Problem Types within 20 Lessons 25-27 Compare with bigger or smaller unknown problem types with more or fewer suggesting the correct operation. Ben played 9 songs on his banjo. Lee played 3 more songs than Ben. How many songs did Lee play?

70. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic F: Varied Problem Types within 20 Lessons 25-27 Try this with a partner: Nikil hopped on one leg 15 times in a row. Kim hopped 4 fewer times. How many times did Kim hop on one leg?

71. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic F: Varied Problem Types within 20 Compare with smaller unknown problem type with more suggesting the incorrect operation. Shanika went down the slide 15 times. She went down 3 more times than Fran. How many times did Fran go down the slide? Lesson 25-27

72. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic F: Varied Problem Types within 20 Try this with a partner: Martha picked up 15 rocks on the beach. She picked up 8 more than Peter. How many rocks did Peter pick up at the beach? Lesson 25-27

73. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic F: Varied Problem Types within 20 Compare with bigger unknown problem type with fewer suggesting the incorrect operation. Anton caught 10 fireflies. He caught 7 fewer fireflies than Julio. How many fireflies did Julio catch? Lesson 25-27

74. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic F: Varied Problem Types within 20 Try this with a partner: Darnel has 13 baseball cards. He has 4 fewer than Willie. How many baseball cards does Willie have? Lesson 25-27

75. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Universal Design for Learning Scaffolds What scaffolds did you notice embedded in the lessons in this topic? What other scaffolds may be necessary to help students be successful with the concepts in this topic?

76. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic G: Culminating Experiences Lessons 28-30

77. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic G: Culminating Experience FLUENCY CENTERS FOLDER COVERS SUMMER WORK Lesson 28-30

78. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Standards Check Fluency Activities Choose a Standards Check fluency activity from Topics D-F to practice with your table. Discuss additional scaffolds teachers may wish to try if a student has not yet mastered the grade-level standard. What additional/alternate activities might help this student?

79. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Agenda

80. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Review 80 What is the key learning from Module 6? What concepts have previously been taught and now are being applied to more complex situations? What new concepts are being introduced?

81. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Review 81 Key Learning Add pairs of two-digit numbers Add and subtract multiples of 10 Solving comparison word problems without concrete objects* 10 more/10 less Using comparative symbols Count and write to 120* Identifying coins*

82. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Biggest Takeaway Turn and Talk: What questions were answered for you? What new questions have surfaced?

83. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Points During Module 6, students use Level 3 strategies to add two-digit numbers within 100. Students continue to strengthen their fluency with previous concepts. Double tape diagrams are introduced.

84. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Preparing for the 2014/15 School Year What did you feel went well this past school year? What goals do you have to improve the math instruction in your classroom for the upcoming year? What support is needed to meet your Goal?