This document provides an overview and agenda for a 2nd grade math expressions unit covering tools, strategies, routines, assessments, and pacing. It includes details on using the 120 poster, money flip chart, number path, and secret code cards for daily routines. It outlines the key ideas, teaching strategies, tools, and non-essential lessons for each unit 1-9. The goals are to explore addition and subtraction concepts, understand place value, add and subtract multi-digit numbers, and work with time, money, and data. Computational fluency is emphasized through daily quick practice activities.

3. Materials Note TE xvii This page will let you know the Math Expressions materials and what to use if they did not come in your kit or where to make the copies Only the * indicates what is unique The rest of the manipulative contents are not specific to the program 3

4. Daily Routines Done at calendar time. Tools 120 Chart Finger Flashes Money Flip Chart Bottom of Money Flip Chart (Do we have a ten yet?) Secret Code Cards Number Path Calendar Routine Comparing 2-Digit Quantities (unit 3 & 4) Math Mountains for 100 or 2-Digit Numbers (unit 5 & 6) Telling Time (unit 7 & 8) Quarters and Other Coins (unit 9 & 10) Making Change and Counting Coins (unit 11 & 12) 2’s 3’s, and 4’s Count-Bys (unit 13 & 14) Plan for First 90 Days of School Pg. xxiii

5. Using the 120 Poster Student Leader 1 draws a new circle Previous total 26: I am adding 3. So, 26 plus 3 is 29. Do I have a new 10? –no 29 = 20 + 9 Previous total 29 I am adding 3. So, 29 plus 3 is (circling the numbers) 30, 31, 32. Do I have a new ten? Yes! So I am going to erase all of the circles on these 20’s and cap the new 10 at the bottom 32 = 30 + 2 The focus is on the answer, the decade number, and ones 5

6. 120 Poster Continued Count to the New Total Less than 20 Student Leader 1 leads the class and points to each number to reach the new total After 20 - Finger Flashes Student Leader 1 moves the pointer down each column by tens and ones Children do the finger flashes in unison 10, 20, 30, 40, 50 freeze 51, 52 Focus remains on the answer, decade numbers, and ones 6

7. 120 Poster Continued Larger Numbers Previous total was 112 I am adding 7. So, 112 plus 7 (circling the numbers as saying them) 113, 114, 115, 116, 117, 118, 119. Do I have a new 10? No (saying as writing) 119 = 110 + 9 Previous total was 119 I am adding 8. So, 119 plus 8 (circling the numbers as saying them) 120, 121, 122, 123, 124, 125, 126, 127. Did I make a new 10? YES! I will cap off the ten (saying as writing) 127 = 120 + 7

8. Using the Money Flip Chart Student Leader 2 removes 7 sticky note representing the addition of 7 penny Previous total 21 pennies I am adding 7 pennies. Will I make a new 10? – no. 21 plus 7 is 28 Removing the sticky note and putting it in the rectangles at the bottom of the Money Flip Chart We now have 8 ones so I’ll erase the 1 and write a 8 Write - 10 plus 10 plus 8 = 28 Say - That’s 2 tens and 8 ones equals 28 Write 21 + 8 in vertical form in the upper right corner of board Write the new partner of 10 to the right of the sticky notes The focus is on anchors of ten, ones, and the answer The ten rectangles reinforces the anchor of 10 visually 8

9. Money Flip Chart Continued New Ten Previous total 28 pennies I am adding 7 pennies. Will I make a new 10? – Yes! So I’ll flip over the cover on the next column so we can see the pennies. 28 plus 7 is 35 (take off the last sticky note). I have a new ten so I’ll write it below. So, 28 plus 7 is 29, 30, 31, 32, 33, 34, 35 (touching as saying- leave finger on 35) I need to cover the rest of the pennies. How many do I need to cover? 5 Write 5 below the 40 column Write 10 + 10 + 10 + 5 = 35 Write 30 + 5 in vertical form in the upper right corner of board Write the new partner of 10 to the right of the sticky notes The focus is on anchors of ten, ones, and the answer 9

10. Money Flip Chart Continued If you end on a decade number Next Day Student Leader 2 Flip over the next column of pennies and cover all the ten pennies with sticky notes with all children Continue the routine – previous total 30 add 3 The focus is on anchors of tens, ones, and the answer 10

11. Money Flip Chart Continued Numbers over 100 The dollar bill cover is flipped to show dollar bills to the left of the coin strips 100 + 10 + 10 + 4 = 124 Coin Strips In Cycles B and C (see blue box pg xxiii), dime Strips are flipped over to replace 10 pennies or 2 nickels and Nickel Strips are flipped over to replace 5 pennies. Cycle A – Use pennies and dollars only Cycle B – Use pennies, dimes, and dollars Cycle C – Use pennies, nickels, dimes, and dollars 11

12. Number Path Number Path: Drawing circles and lines Add same number as money & 120 poster. Circle number being added. Draw a line when 10’s are made. Leave it on display. This part discontinued when the total exceeds 100. Proof Drawings (Quick Tens and Ones & show 5-groups) Erase old drawing and leave new total below (ready for next day). Numbers over 100- Quick Hundreds (squares) are also used. Focus is bridging the abstract representation to the pictorial representation

13. Number Path You may choose to drop the Money Routine during Units 9 and 11 in order to focus more on the coin counting routines for those units. If you do this, you can return to this routine again during Unit 13.

14. Secret Code Cards Show New Total 30 (show 30 card) plus 2 (show 2 card). Class responds- 30 plus 2 makes (puts 2 card over the 0) 32. New Total 30 (decade number) 30 now show the 30 card Class responds 3 tens make 30 Focus is on the abstract decade numbers and ones.

15. Questions

16. Based upon NCTM’s Principles and Standards for School Mathematics (2000) “Fluency refers to having efficient, accurate, and generalizable methods (algorithms) for computing that are based on well-understood properties and number relationships.” NCTM, 2000, p. 144 It is the immediate access to a strategy that will get a student to a correct answer, not the immediate access to the answer…which is automaticity! What is Computational Fluency?

18. Teen Subtraction Flash (7:5)

20. Quarter Strings (9:2)

21. Dive the Deep (9:5)

22. Dollar Strings (9:6)

24. UNIT 1 Big Ideas Explore Addition and Subtraction Concepts Break-Apart Numbers ≤ 10 Add and Subtract Using 10 Relate Addition and Subtraction Understand Equations and Inequalities

26. Math Drawings

27. Break-Aparts

28. Count On to Find Total

29. Count On to Find Partner

30. Make a Ten

31. Squiggles (partners)

32. Greater/Less ThanTools Fingers Penny Strips and Coins Math Mountains Partner Houses Secret Code Cards Count on Strategies Cards Red/Blue, Yellow/Orange, Green Yellow & Blue Math Mountain Cards Number Line Non-Essential Lessons 17, 22, 23 Quick Quiz 5

33. Unit 2 Big Ideas Linear Measurement of 2-D Shapes

35. Perimeters

36. Squares/Rectangles/TrianglesTools 25-cm Rulers Base Ten Blocks MathBoard

37. Unit3 Big Ideas Addition and Subtraction Situations More Complex Situations Mixed Practice and Writing Story Problems

39. Change problem

40. Collection problem

41. Comparison problem

42. Hidden informationTools Yellow/Orange Count on Cards MathBoards Counters Non-Essential Lessons 2, 6, 8, 9, 10, 12, 13, 14 Quick Quiz 2,3 See Background Pg. 195J- 195P

43. Unit 4 Non-Essential Unit

44. Unit 5 Big Ideas Use Place Value Adding 2-Digit Numbers Money, Sequences, and 100 Matrix

46. Place Value Drawings

47. Decade numbers

48. 100-partners

49. 10-partners

50. Show All Totals methods

51. New Groups Above method

52. New Groups Below method

53. Break Apart One HundredSee page 375, 376 See page 424 Non Essential Lessons 7, 8, 13,19, 20 Quick Quiz 3

54. Unit 6 Big Ideas Time

56. Hour & Minutes

57. TimelineSee pg 472 Elapsed Time Non-Essential Lessons 5

58. Unit 7 Big Ideas Picture Graphs and Comparing Tables, Data, and Picture Graphs

60. Using Comparison LanguageNon-Essential Lessons 8 – 16 Quick Quiz 2

61. Unit 8 Non-Essential Unit

62. Unit 9 Big Ideas Quarters and dollars Multi-Digit Subtraction Strategies Relating Addition and Subtractions Strategies

64. Subtraction Methods

65. Boxes, Sticks, & Circles

66. Expanded Method

67. Secret Code Cards

68. Ungroup First

69. Add Up

70. Math MountainsSubtraction Methods pg 607J-607K See pg 620 See pg 630 See Expanded Method pg 637 Non-Essential Lessons 10, 15, 16, 17 Quick Quiz 3

71. Call or email with any questions Laura Chambless 810-455-4005 chambless.laura@sccresa.org www.protopage.com/lchambless