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1 Slide 1 / 246 Slide 2 / 246 2nd Grade Facts Presentation Presentation 1 Table of Contents Facts Click on a topic to go to that section. Slide 3 / 246 Recall from Memory Addition Facts Presentation 2 Subtraction Facts Mixed Addition and Subtraction Facts Number Stories

2 Standards for Mathematical Practices Slide 4 / 246 MP 1 Make sense of problems and persevere in solving them. MP 2 Reason abstractly and quantitatively. MP 3 Construct viable arguments and critique the reasoning of others. MP 4 Model with mathematics. MP 5 Use appropriate tools strategically. MP 6 Attend to precision. MP 7 Look for and make use of structure. MP 8 Look for and express regularity in repeated reasoning. Click on each standard to bring you to an example of how to meet this standard within the unit. Slide 5 / 246 Recall from Memory Click to return to table of contents Facts Slide 6 / 246 Students need to practice their facts. According to the Common Core (2.OA.2) they should be able to: Fluently add and subtract within 20 using mental strategies. By the end of 2nd grade, know from memory all sums of two one-digit numbers.

3 Facts Slide 7 / 246 This Facts unit addresses three underlying facets of addition/subtraction facts: 1. Building a deep understanding of the relationship between numbers in addition/subtraction problems. 2. Strategies for adding and subtracting. 3. Memorization of facts. Facts Slide 8 / 246 The third topic - memorization - is most easily addressed through repeated practice of addition/subtraction problems. This can be done through games, worksheets, or short timed quizzes (results would not count towards grades). Facts Slide 9 / 246 Students should spend 1-10 minutes daily practicing adding and subtracting to build their memorization of these facts. In this way, this unit is slightly different in its layout from the rest of the PMI units. The following pages list some resources for games, and worksheets that can be used for these purposes.

4 Resources Slide 10 / 246 Click the links below to find resources for worksheets and games: - Printable Worksheets: Addition of One-Digit Numbers - Adding with Cubes - Addition Facts to 10 - Alien Addition - Addition Patterns - Counting On to Add - Mummy Addition - Sum Sense Timed Addition Resources Slide 11 / 246 Click the links below to find resources for worksheets and games: - How Many Under the Shell? - Counting Back to Subtract - Subtracting with Cubes - Subtraction Patterns - Sum Sense Timed Subtraction Addition Facts Defining and Identifying Whole and Parts Relationship of Whole to Parts: Addition Addition Strategies Addition Strategies Adding Past 10 Making Tens Making Tens Pt. 2 Doubles Facts Doubles Plus 1 Doubles Minus 1 Lab: Add It Up Adding 3 Numbers 3 Addend Combinations Click to return to table of contents Slide 12 / 246

5 Slide 13 / 246 Defining and Identifying Whole and Parts Click to return to table of contents Slide 14 / 246 Slide 15 / 246 Whole and Parts Activity #1

6 Slide 16 / 246 Whole and Parts Activity #2 Whole and Parts Slide 17 / 246 We have discovered that a whole can be one thing that can be broken into parts... Whole and Parts Slide 18 / or a whole can be a group of things that can be broken into parts!

7 Word Problem Slide 19 / 246 When looking at a word problem, we need to figure out whether the numbers we know show the whole number of things or the parts. Word Problem Slide 20 / 246 Sarah was catching butterflies. She had 5 in her net. Then she caught some more. Now she has 8. How many more butterflies did she catch? Word Problem Slide 21 / 246 Juan was building with blocks. 2 of his blocks were yellow and 4 of his blocks were red. How many blocks did he have in all?

8 1 In the picture below, what is the whole number of flowers? Slide 22 / 246 A 0 B 1 C 2 D 3 2 How many flowers are in the part that is circled? Slide 23 / 246 A 0 B 1 C 2 Answer D 3 3 How many flowers are in the part that is NOT circled? Slide 24 / 246 A 0 B 1 C 2 D 3

9 Slide 25 / 246 Slide 26 / 246 Slide 27 / 246

10 Slide 28 / Sam has 5 marbles. 2 of them are big and 3 of them are small. What is the whole number? Slide 29 / 246 A 2 B 3 C 5 D 8 9 Maria has 6 balloons. 2 of them are blue and 4 of them are red. What part of her balloons are red? Slide 30 / 246 A 2 B 4 C 6 D 10 Answer

11 10 Jhamar had 3 pencils. His brother gave him 1 more. Now he has 4 pencils in all. What is the whole number of pencils he has? Slide 31 / 246 A 1 B 3 C 4 D 8 11 Lisa has 8 crayons. 6 of them are green and 2 of them are purple. What are the two parts in this problem? Slide 32 / 246 A 8 crayons and 6 crayons B 8 crayons and 2 crayons C 6 crayons and 2 crayons Slide 33 / 246

12 Slide 34 / 246 Slide 35 / 246 Relationship of Whole to Parts: Addition Click to return to table of contents Symbols Slide 36 / 246 We use symbols when writing number sentences. + - = In order to understand how the whole number and the parts of a problem work together, we need to really know what these symbols mean.

13 + Symbols We use the PLUS symbol to mean together with. Slide 37 / We use the MINUS symbol to mean take away. Symbols Slide 38 / 246 = We use the EQUAL SIGN to mean the same total amount as. It does NOT always mean "the answer is"! Symbols Slide 39 / 246 You have probably seen many problems written like this = 4 Part Part Whole Together with Is the same total amount as

14 Symbols You may not have seen as many problems written like this. Slide 40 / = Whole Part Part Is the same total amount as Together with Is this problem correct? Can you explain why? Addition Sentence Identify parts of an addition sentence by dragging the titles to the correct location. Slide 41 / = Part Part Whole Plus Sign Equal Sign Symbols Activity #1 Slide 42 / 246

15 Symbols Activity #2 Slide 43 / 246 Symbols Slide 44 / 246 In this lesson, we have learned that: PART + PART = WHOLE and WHOLE = PART + PART 12 Which of the following describes the picture below? Slide 45 / A = 4 B = 3 Answer C 5 = D 4 = 1 + 3

16 13 Which of the following also describes the picture below? Slide 46 / A = 4 B = 5 C 3 = D 4 = Slide 47 / Which of these number sentences could NOT describe the picture below? Slide 48 / 246 A 2 = B = 3 C 3 = D = 3

17 16 Which of the following number sentences is correct? Slide 49 / 246 A = 6 B 7 = Answer C = 5 D 5 = Slide 50 / 246 Slide 51 / 246

18 Slide 52 / 246 Slide 53 / 246 Slide 54 / 246

19 Slide 55 / 246 Addition Strategies Click to return to table of contents Addition Strategies Jason had 5 pieces of candy. Jeremy had 3 pieces of candy. How many pieces of candy did they have altogether? Slide 56 / 246 Draw a picture to help you count everything together = 8 Addition Strategies Slide 57 / If = 8 + Does = 8?

20 Addition Strategies Slide 58 / If 8 = Does 8 = 3 + 5? Turn Around Facts Slide 59 / = = 8 Does it matter which addend is first? Turn Around Facts Slide 60 / 246 What are the turn around facts for: = 7 + = = = + +

21 Turn Around Facts What are the turn around facts for: Slide 61 / = = = = + + Addition Problems Addition problems can be written two ways. Slide 62 / = 8 or Horizontally Vertically Number Line Strategy Use a number line Slide 63 / =

22 Number Grid Strategy Slide 64 / = Use Your Fingers Slide 65 / Count Up Put the bigger number in your head and count up. Slide 66 / = 4 5, 6

23 Count Up If the problem shows a small number first, reverse it and start with the bigger number in your head to make it easier to add = turn it around to make it = 5 6, 7 Slide 67 / 246 Make a Picture Susan had 6 pieces of candy. Her sister gave her 3 more. How many pieces of candy does she have now? Slide 68 / = Number Line Use a number line to add Slide 69 /

24 6 + 3 = Number Grid Strategy Slide 70 / 246 Count Up Slide 71 / = 6 Pick a Strategy Slide 72 / 246 Roll the dice and add the two numbers. +

25 Interactive Game Slide 73 / 246 Click here for the website 18 ) 5 = Slide 74 / 246 Yes No 19 ) = 8 Slide 75 / 246 Yes No

26 20 Which is the correct answer? Slide 76 / A 6 B 7 C 8 21 Which is the correct answer? Slide 77 / = A 5 B 6 C 7 22 Slide 78 / 246 = 2 + 6

27 23 Slide 79 / Slide 80 / Slide 81 / =

28 Slide 82 / 246 Slide 83 / 246 Slide 84 / 246 Addition Strategies Adding Past 10 Click to return to table of contents

29 Addition Strategies Slide 85 / 246 There are 6 bees on one flower and 8 bees on another. How many bees are there altogether? Number Grid Use a number grid - start with the bigger number and count up the smaller number. Slide 86 / 246 Count Up Jenna said she could do it in her head without a number grid. She said she will put the smaller number in her head and count up the larger number. Bob told her it would be easier to put the bigger number in her head and count up the smaller number. Who is correct? Why? Slide 87 / 246

30 Number Model Slide 88 / = 14 When you add two numbers together the answer is called the sum. Slide 89 / 246 Pick a Strategy Slide 90 / 246 What strategy will you use? Anna had six read balloons and five blue balloons. How many balloons did she have altogether? Number model: Teacher Notes + =

31 Pick a Strategy Slide 91 / 246 Justin had 8 toy cars. He got 3 more for his birthday. How many does he have now? What strategy will you use? Number model: Teacher Notes + = Flip two cards and add them together. Slide 92 / 246 Interactive Game Slide 93 / 246 Click here for the website

32 26 What is 9 + 2? Slide 94 / 246 A 10 B 11 C What is Slide 95 / 246 A 13 B 14 C Slide 96 / 246

33 = Slide 97 / = Slide 98 / Slide 99 / 246

34 32 15 is the sum of which number model? Slide 100 / 246 A B C is the sum of which number model? Slide 101 / 246 A B C What is the sum of 8 + 9? Slide 102 / 246

35 Slide 103 / 246 Slide 104 / 246 Slide 105 / 246 Making Tens Click to return to table of contents

36 Ten Frame Slide 106 / 246 How many circles will fill up the frame? Ten Frames Slide 107 / 246 When the frame is full, it will have ten objects in it. When the frame is not full, it has less than 10 objects in it. Ten Frames Slide 108 / 246 If 1 ten frame has 10 objects in it, how many objects are in 2 frames?

37 Ten Frame There are 7 books on the shelf. How many more are needed to fill the shelf? Slide 109 / = 10 Ten Frame How does this problem relate to what we have learned about adding parts together to make a whole number? Slide 110 / = 10 Ten Frame Slide 111 / 246 What are three other ways we could write this? = 10

38 Ten Frame 6 children are on the bus. How many more need to get on? Slide 112 / = 10 Ten Frame Slide 113 / horses are in the barn. How many are out in the field? 8 + = 10 Ten Frame 5 boys are on the basketball court. How many are on the bench? Slide 114 / = 10

39 Ten Frame 3 cookies are left in the pack. How many have been eaten? Slide 115 / = 10 Slide 116 / = = 10 Interactive Game Slide 117 / 246 Click here for the website

40 35 How many more objects are needed to make ten? Slide 118 / 246 A 1 B 2 C 3 D 4 36 How many more objects are needed to make 10? Slide 119 / 246 A 3 B 4 C 5 D 6 37 How many more objects are needed to make 10? Slide 120 / 246 A 7 B 8 C 9 D 0

41 38 Which number model does this ten frame show? Slide 121 / 246 A = 10 B = 10 C = 10 D = This ten frame shows = 10. Slide 122 / 246 Yes No 40 Which number model does this ten frame show? Slide 123 / 246 A = 10 B = 10 C = 10 D = 10

42 Slide 124 / 246 Slide 125 / 246 Slide 126 / 246 Making Tens Pt. 2 Click to return to table of contents

43 2 Ten Frames Slide 127 / 246 A second ten frame can be used to help add numbers higher than Number Model = 14 2 Ten Frames Slide 128 / 246 Use the triangles to show the number 16. What are the two parts in this problem? What is the whole number? How do you know? 10 + = 16 2 Ten Frames Use the triangles to show the number 12. Slide 129 / = 12

44 2 Ten Frames What addition sentence could you write to match the ten frames? Slide 130 / = 2 Ten Frames Slide 131 / = Start with the bigger addend. 8 Think how many more do I need to make 10? Break apart the smaller addend 5 to help make the ten = < Ten Frames = Slide 132 / 246?? = <?

45 2 Ten Frames Slide 133 / =? =? Interactive Game Slide 134 / 246 Click here for a the website 41 Slide 135 / =

46 42 Slide 136 / = 43 Slide 137 / Slide 138 / =

47 45 Slide 139 / Slide 140 / = Slide 141 / 246

48 Slide 142 / 246 Slide 143 / 246 Doubles Facts Click to return to table of contents Doubles Slide 144 / 246 What are some words or phrases you can think of that have the word "double" in it?

49 Slide 145 / 246 Doubles A "doubles" fact in math is when you add a number to itself. Doubles Facts from 1 to 10 Slide 146 / = = = = = = = = = = 20 Double Facts by John Starkel 1 and 1 are 2, 2 and 2 are 4, 3 and 3 are 6, Can you think of any more? 4 and 4 are 8, 5 and 5 are 10, 6 and 6 are 12, Here we go again! 7 and 7 are 14 8 and 8 are 16, 9 and 9 are 18, Look, I m an adding machine! Double facts are easy, As easy as can be. Go back to the beginning, And say this rhyme with me. Slide 147 / 246

50 Doubles Slide 148 / = 2 eyes Doubles Slide 149 / = 4 wheels Doubles Slide 150 / pack

51 Doubles Slide 151 / = 8 legs Doubles fingers Slide 152 / 246 Doubles Slide 153 / = 12 eggs

52 Doubles Slide 154 / days Doubles Slide 155 / = 16 crayons Doubles Slide 156 / squares

53 Doubles Slide 157 / toes + 10 fingers 20 Doubles Slide 158 / 246 Tina is putting away books for her teacher. She has to put the same amount of books on each shelf. There are 16 math books. Tina puts on one shelf. She puts on the other shelf. Doubles Slide 159 / 246 Tina is putting away books for her teacher. She has to put the same amount of books on each shelf. There are 18 books about sports. Tina puts on one shelf. She puts on the other shelf.

54 Doubles Slide 160 / 246 Tina is putting away books for her teacher. She has to put the same amount of books on each shelf. There are 12 art books. Tina puts on one shelf. She puts on the other shelf. 47 Slide 161 / = 48 Slide 162 / =

55 49 Slide 163 / = 50 ) = Slide 164 / 246 A 10 B 18 C 17 D ) = Slide 165 / 246 A 4 B 6 C 8 D 10

56 = Slide 166 / = Slide 167 / = Slide 168 / 246

57 Slide 169 / 246 Slide 170 / 246 Slide 171 / 246 Doubles Plus 1 Click to return to table of contents

58 Slide 172 / 246 Doubles +1 Slide 173 / and 5 are neighbors on the number line so they are a "doubles +1" fact Doubles +1 Slide 174 / 246 For "doubles + 1", double the smaller addend, then add = = = Think, you know that = 8, and one more is 9.

59 Slide 175 / 246 Are the addends neighbors? Doubles +1 For "doubles + 1", double the smaller addend, then add 1. Slide 176 / 246 I know 4+4= = = I know 8+1= = Doubles +1 Double the smaller addend, then add one. Slide 177 / = =

60 Doubles +1 Double the smaller addend, then add one. Slide 178 / = = Slide 179 / 246 Doubles +1 Even if the smaller number comes second in the fact, add it first = = Doubles +1 Slide 180 / = =

61 Doubles +1 Slide 181 / 246 Roll the dice, double the number and add one. What is the number model? Doubles +1 Slide 182 / 246 Click the square, double the number and add one. 55 ) = A 16 B 15 C 14 D 17 Doubles Plus One 1. Think: Are the Hint addends neighbors? 2. Double the smaller addend. 3. Add one. Slide 183 / 246

62 56 ) = A 7 B 6 C 8 D 9 Doubles Plus One 1. Think: Are the Hint addends neighbors? 2. Double the smaller addend. 3. Add one. Slide 184 / A 10 B 12 C 11 D 13 Doubles Plus One 1. Think: Are the Hint addends neighbors? 2. Double the smaller addend. 3. Add one. Slide 185 / ) = Doubles Plus One 1. Think: Are the Hint addends neighbors? 2. Double the smaller addend. 3. Add one. Slide 186 / 246

63 59 Slide 187 / Doubles Plus One 1. Think: Are the Hint addends neighbors? 2. Double the smaller addend. 3. Add one. 60 ) = Doubles Plus One 1. Think: Are the Hint addends neighbors? 2. Double the smaller addend. 3. Add one. Slide 188 / 246 Slide 189 / 246

64 Slide 190 / 246 Slide 191 / 246 Doubles Minus 1 Click to return to table of contents Doubles -1 Slide 192 / and 5 are neighbors on the number line so they are a "doubles - 1" fact

65 Slide 193 / 246 Doubles -1 Are the addends neighbors? For "doubles - 1", double the larger addend, then subtract = Slide 194 / 246 I know 5+5=10. I know 10-1= = 10-1 = Doubles -1 Slide 195 / 246 For "doubles - 1", double the larger addend, then subtract Double 5 to get = 9 so = 9

66 4 + 3 Doubles Minus One 1. Think: Are the addends neighbors? 2. Double the larger addend. 3. Subtract one. Slide 196 / = - 1 = Doubles Minus One 1. Think: Are the addends neighbors? 2. Double the larger addend. 3. Subtract one. Slide 197 / 246 fill in the blanks + = - 1 = Slide 198 / 246 fill in the blanks + = - 1 =

67 Slide 199 / 246 Click here for a doubles -1 song You can use dominos to help with doubles = Doubles -1 Slide 200 / 246 double 3, then -1 Doubles -1 Use doubles -1 to solve. Slide 201 / =

68 Doubles -1 Use doubles -1 to solve. Slide 202 / = Use doubles -1 to match the addends with the correct sum. Slide 203 / Double 7, then minus 1 =? Slide 204 / 246 Doubles Minus One 1. Think: Are the Hint addends neighbors? 2. Double the larger addend. 3. Subtract one.

69 62 Double 4, minus 1 =? Slide 205 / 246 Doubles Minus One 1. Think: Are the Hint addends neighbors? 2. Double the larger addend. 3. Subtract one. 63 Solve: = Doubles Minus One 1. Think: Are the Hint addends neighbors? 2. Double the larger addend. 3. Subtract one. Slide 206 / Solve: = Doubles Minus One 1. Think: Are the Hint addends neighbors? 2. Double the larger addend. 3. Subtract one. Slide 207 / 246

70 65 Solve: = Doubles Minus One 1. Think: Are the Hint addends neighbors? 2. Double the larger addend. 3. Subtract one. Slide 208 / 246 Slide 209 / 246 Slide 210 / 246

71 Slide 211 / 246 Slide 212 / 246 Lab: Add It Up Slide 213 / 246 This simple hands-on activity helps students master important addition facts and become strategic problemsolvers! Click here for complete directions.

72 Slide 214 / 246 Adding 3 Numbers Click to return to table of contents Adding 3 Numbers Slide 215 / 246 Megan made cupcakes with different colored icing. She made 2 pink cupcakes, 3 yellow cupcakes, and 5 purple cupcakes. How many cupcakes did she make altogether? = Adding 3 Numbers Slide 216 / 246 When adding three numbers, look for a combination of numbers that is easy to add first = What numbers would you add first? Why? Explain your thinking - there is more than one good answer!

73 Adding 3 Numbers Finding a 10 fact is one strategy when adding 3 numbers. Slide 217 / = = 15 Adding 3 Numbers Slide 218 / 246 You could also add the 2 bigger numbers first = = 15 Adding 3 Numbers Slide 219 / 246 Once in a while, you might find a doubles fact you can use to help you = = 8

74 Pick a Strategy Slide 220 / 246 In the basketball game Timmy scored 6 points, Chris scored 4 points and Vincent scored 4 points. How many points did the team score altogether? = Slide 221 / 246 Slide 222 / 246

75 Pick a Strategy Roll the dice and add the three numbers. Slide 223 / = Slide 224 / 246 A 11 B 12 C 13 D = Slide 225 / 246 A 11 B 12 C 13 D 14

76 68 = Slide 226 / = Slide 227 / = Slide 228 / 246

77 Slide 229 / 246 Slide 230 / 246 Slide 231 / 246 Three Addend Combinations Click to return to table of contents

78 Slide 232 / = 10 What are some numbers we could put into this number model to make it correct? Combinations Slide 233 / 246 Different combinations of 3 numbers can add up to the same sum = = = 10 Combinations Slide 234 / 246 Can we find 5 ways to make this number sentence true? = = = = = 14

79 Combinations Did we get them all? Slide 235 / = = = = = 14 Combinations Can we find 5 ways to make this number sentence true? Slide 236 / = = = = = 17 Combinations Did we get them all? Slide 237 / = = = = = 17

80 Interactive Game Slide 238 / 246 Click here for the website 71 Which number sentence doesn't equal 18? Slide 239 / 246 A B C D Which number sentence doesn't equal 15? Slide 240 / 246 A B C D

81 73 Which number sentence doesn't equal 13? Slide 241 / 246 A B C D What is the sum of ? Slide 242 / What is the sum of ? Slide 243 / 246

82 76 What is the sum of ? Slide 244 / 246 Slide 245 / 246 Slide 246 / 246

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