3rd Grade. Multiplication.

Transcription

1 1

2 3rd Grade Multiplication

3 Table of Contents Relate addition to multiplication Arrays Multiply by 1 and 0 Multiply by 2 Multiply by 5 Multiply by 10 Multiplication Table Activity Multiply by 3 Multiply by 4 Multiply by 6 Multiply by 7 Multiply by 8 Multiply by 9 Square and Rectangles Unit squares and tiling Area of Squares Area of rectangles Area Word Problems click on the topic to go to that section 3

4 Relate Multiplication to Addition click to return to table of contents 4

5 Relate Multiplication to Addition There are 5 students. Each student is holding up both hands in the air. How many hands are up in the air? What are all of the ways you could figure out this answer? Teacher Notes 5

6 Relate Multiplication to Addition The Greene brothers went for a bike ride. If all four went riding, how many bicycle wheels would you see? What are all of the ways you could figure out this answer? 6

7 Relate Multiplication to Addition Did you use addition? What would the number sentence look like? Click = 8 This is called repeated addition. Why do you think it is called this? 7

8 Relate Multiplication to Addition Did you consider using multiplication? How many bicycles were there? How many wheels did each bicycle have? What would the number sentence look like? Click 4 X 2 = 8 Once you are able to memorize your multiplication facts, you will realize that it is the quickest way to solve problems like the Greene brothers' problem. 8

9 Relate Multiplication to Addition Which number sentences match the picture of three flowers with 7 petals each? Repeated Addition Multiplication 3 x 5= = = = 6 x 3= 3 x 7 = = 9

10 Relate Multiplication to Addition There are five jars. In each jar, there are 3 insects. Show all 5 jars with 3 insects in each jar in the space below. How many insects are there all together? What is the repeated addition sentence? What is the multiplication number sentence? 10

11 Relate Multiplication to Addition How would you write 4 x 6 = in a repeated addition problem? What kind of picture could show these problems? 11

12 Relate Multiplication to Addition How would you write 2 x 8 = in a repeated addition problem? What kind of picture could show these problems? 12

13 Multiplication Game Click to play Carl's Cookie Capers. 13

14 1 ) 2 x 5 = 5 + 5? True False Answer 14

15 2 What would the repeated addition number sentence look like for the multiplication problem, 3 x 8 =? A = B = C 8 x 3 = D = Answer 15

16 3 What would the multiplication number sentence look like for the repeated addition problem, =? A = B 3 x 5= C 5 x 5 = D 3 x 3 = Answer 16

17 4 What repeated addition number sentence would help you figure out the number of petals in the picture below? A 2 x 7 = B = C = D = Answer 17

18 5 What multiplication number sentence would help you figure out the number of petals in the picture below? A 2 x 7 = B = C = D = Answer 18

19 Arrays click to return to table of contents 19

20 What are Arrays? Arrays are rectangles made of organized rows and columns of objects to represent a certain number. An example, of the arrays for the number 6 are shown below. 20

21 Using Arrays Now you try! Drag and place 8 soccer balls in an array on the field. How many different ways can you arrange the soccer balls so they are arranged into organized rows and columns? 21

22 Using Arrays When writing a multiplication number sentence for an array, write the number of rows first. The second number should be the number in each row, or the number of columns. columns rows columns rows 4 x 2 2 x 4 Click to reveal the multiplication number sentence for each array. 22

23 Using Arrays Each array below is an example of 6. What would the multiplication number sentence for each array be? 23

24 Using Arrays Drag the stars into the rectangle to make an array showing 2 x 5. How many stars will it take to complete the array? 24

25 Using Arrays Circle the peanuts to show other ways to make arrays showing

26 6 Are the cats arranged in an array? Yes No Answer 26

27 7 This is an array for what number? Answer 27

28 8 Which array is a model for 3 x 2? A the mice B the frogs C the flowers D none of the above Answer 28

29 9 The multiplication number sentence for this array of shoes is 2 x 3. True False Answer 29

30 10 What array is circled? A 2 x 6 B C 12 x 1 D 3 x 4 Answer 30

31 Multiplying by 1 and 0 click to return to table of contents 31

32 Multiplying by 0 When multiplying a number by 0, try to remember relating it to addition. For example, 8 x 0 can be thought of as What would that equal? Could you make an array using 8 x 0? 32

33 Multiplying by 0 Can you explain what happens every time a number is multiplied by 0? This is called the Zero Property of Multiplication. 33

34 Multiplying by 0 When multiplying a number by zero, we call it the zero property of multiplication Any number x 0 = 0 34

35 When multiplying a number by 1, try to remember relating it to addition. What would that equal? Multiplying by 1 For example, 8 x 1 can be thought of as What would an array of 8 x 1 look like? Use the circles to show the array. 35

36 Multiplying by 1 Can you explain what happens every time a number is multiplied by 1? This is called the Identity Property of Multiplication. 36

37 Multiplying by 1 When multiplying a number by one, we call it the identity property of multiplication Any number x 1 = itself 37

38 38

39 Multiplying by 1 and 0 Game Click the tire to play a game. 39

40 11 The answer to 10 x 0 is 10. True False Answer 40

41 12 Sandra wants to buy prizes from the machines in front of the store. She has to put in one coin in each machine. If there are 5 machines, how many coins will she need to buy a prize from each machine? A 1 B 5 C 0 D 4 Answer 41

42 13 What is the answer to any problem that involves multiplying by 0? Answer 42

43 14 ) 6 x 1 is an example of the Identity Property? Yes No Answer 43

44 15 Greg gives each of his customers 2 coupons when they visit his store. If he hasn't had any customers today, how many coupons has he given out? A 2 B 1 C 0 Answer 44

45 Multiply by 2 click to return to table of contents 45

46 Multiplying by 2 2 x 5 = 10 Factor Factor Product Factors are the numbers we multiply together to get to an answer which we call the product. When you are asked to multiply a number by the factor 2, what are some ways you could go about finding the answer? 46

47 Multiplying by 2 Did you remember that you could use repeated addition? What would 2 x 5 look like? What would an array look like for 2 x 5? Use the paper clips to make your array. 47

48 Multiplying by 2 Think of some words that mean 2. Click the numbers to reveal some. 48

49 Multiplying by 2 Multiplying by 2 can be thought of as doubling your factor. So, imagine that the problem 3 x 2 is 3 doubled, or 2 groups of 3. Double each set of animals below and write the multiplication number sentence to match. 49

50 Multiplying by 2 Using each object below, write and solve multiplication word problems using the number 2 as a factor. 50

51 Multiplying by 2 Game Click the pencil to play a game. 51

52 16 ) 2 x 0 = 2 True False Answer 52

53 17 If you were to double 4, what would be your answer? A 2 B 4 C 6 D 8 Answer 53

54 18 When you multiply a number by 2, the answer is always 2? Yes No Answer 54

55 19 Which number sentence matches the following word problem? Mr. Blake asked his students to take off their shoes for an activity and place them against the wall. If he has 9 students, how many shoes were along the wall? A = 10 B 9 x 2 = 9 C 9 x 9 = 81 D 9 x 2 = 18 Answer 55

56 20 Which picture below shows an array where 2 was a factor? A peanuts B flowers C pigs D none of the pictures Answer 56

57 Multiply by 5 click to return to table of contents 57

58 Multiplying by 5 Fill in the chart below. Factor x 5 What pattern do you see in the products of each factor? Could this be a rule? What do you notice about the digits in the ones place? 58

59 Let's Practice! Using what your remember from the table you created in the last slide, practice multiplying 5 and the number you roll on the 6 sided dice. Click the dice to roll again. 5 x = 59

60 Multiplying by 5 What items do you think of when 5 is mentioned? Click each box for some ideas. Can you use one of these items in a multiplication number story? 60

61 Multiplying by 5 For example, here's a number story using a factor of five. Natalie is saving up for a new painting set for her artwork. The new paint set costs $32. She can save $5 a week. If she saves her money for 7 weeks, will Natalie have enough money to purchase the new paint set? What number sentence would you use to check your work? 61

62 Practice Multiplying by 5 Now you try! Alone or with a partner, write and solve a multiplication word problem using number 5. 62

63 Multiplying by 5 Game Click the beach ball to play a multiplication of 5 game. 63

64 21 ) 9 x 5 = 40 True False Answer 64

65 22 What number besides 5, could be in the ones place of the multiples of 5? Answer 65

66 23 This wagon has 4 wheels. How many wheels would there be if there were 5 wagons? A 20 B 45 C 1 D 9 Answer 66

67 24 It takes Jim 5 minutes to run one lap around the track. How many minutes does it take for him to run 8 laps? A 58 B 3 C 40 D 45 Answer 67

68 25 Does knowing the multiples of 5 help you tell time? Yes No Answer 68

69 26 If the big hand is on the 5, how many minutes past the hour is it? Answer 69

70 27 If the big hand is on the 2, how many minutes past the hour is it? Answer 70

71 28 Carol plays a ball game. She gets 7 points each time her ball hits a target. If she hits the target at least 5 times in a row, she gets an extra 25 points. What is the total number of points Carol gets if she hits the target 5 times in a row? Answer From PARCC EOY sample test #12 71

72 Multiplying by 5 Reminder: Nickels are worth 5 cents. 72

73 Multiplying by 5 Four friends each have a nickel, what is the total amount of money they have? 4 groups of 5 click 4 x 5 = 20 cents click 73

74 29 You find six nickels under the couch. How many cents did you find? A 6 cents B 5 cents C 65 cents D 30 cents Answer 74

75 30 A piece of candy is five cents. If you buy 8 pieces, how much will it cost? Answer 75

76 31 Your aunt gives you five cents for each flower you help her plant. If you plant 3, how many cents will she give you? Answer 76

77 32 While cleaning out your dad's car you find 9 nickels. How many cents is this? Answer 77

78 33 In your piggy bank you have 7 nickels. How many cents is this? Answer 78

79 Multiply by 10 click to return to table of contents 79

80 Multiplying by 10 Fill in the chart below. Factor x 10 What pattern do you see in the products of each factor? Could this be a rule? What do you notice about the digits in the ones place? 80

81 Multiplying by 10 Let's practice! Using what your remember from the table you created in the last slide, practice multiplying 10 and the number you roll on the 6 sided dice. Click the dice to roll again. 10 x = 81

82 Multiplying by 10 What items do you think of when 10 is mentioned? Click each box for some ideas. Can you use one of these items in a multiplication number story? 82

83 Multiplying by 10 For example, here is a multiplication number story using a factor of 10. Melissa is in a beginner's typing class. At the end of her first day she could type 10 words in one minute. How many words could she type if the teacher gave her 7 minutes to finish? What is the number sentence you would use to check your work? 83

84 Practice Multiplying by 10 Now you try! Alone or with a partner, write and solve a multiplication word problem using the number

85 Practice Multiplying by 10 When multiplying by 10, the rule is you are basically "adding a place value" to that number. So in the case of 10 x 5 = 50, we are "adding a place value" to 5 making it 50. This works for all numbers! Let's practice. Pop the balloons to check your answers

86 Multiplying by 10 Game Click to play a multiplication of 10 game. 86

87 34 Multiples of 10 have in the ones place? A 10 B 1 C 0 D Both B and C Answer 87

88 35 The product below is 10? Yes No Answer 88

89 36 This bouquet has 3 flowers. How many flowers would there be if there were 10 bouquets? A 13 B 103 C 7 D 30 Answer 89

90 37 You charge $10 for raking leaves. If you rake 7 yards, how much money will you earn? Answer 90

91 38 While cleaning out your mom's car you find nine dimes. How many cents is this? A 9 B 19 C 90 D 900 Answer 91

92 39 While shopping you buy five new shirts. Each one is $10. How much did you spend? Answer 92

93 40 You can use the rule for 10 for numbers larger than 10. (for example, 13 x 10) True False Answer 93

94 41 What is 21 x 10? Answer 94

95 42 Which two ways show how to find the value of 7 x 40? Select two correct answers. A 7 x 4 B 4 x 10 C 7 x 4 x 10 D 7 groups of 4 ones Answer E 7 groups of 4 tens From PARCC EOY sample test #4 95

96 43 ) 3 x 80 = Answer From PARCC EOY sample test #36 96

97 Multiplication Table Activity click to return to table of contents 97

98 Multiplication Table Teacher Notes 98

99 Multiply by 3 click to return to table of contents 99

100 Multiplying by 3 When given the multiplication problem of 6 x 3, you can picture 6 groups of 3. It can be helpful to use the circles as your groups. Make 6 groups with 3 pigs in each. Teacher Notes 100

101 Multiplying by 3 Counting by threes and creating arrays may also help you with your 3 times tables. 3, 6, x 3 Teacher Notes 101

102 Multiplying by 3 Fill out the multiplication chart below. Factors x3 Is there a pattern? What else do you notice about the products? 102

103 Multiplying by 3 103

104 Multiplication by 3 Game Click on the dinosaur to play a multiplication game. 104

105 44 The products of multiplication problems with 3 in them are all odd. True False Answer 105

106 45 In Fairytale Town, there are 9 cottages that have 3 bears in each. How many bears are there in all? A 12 B 27 C 6 D 3 Answer 106

107 46 What number was 3 multiplied by to make the array below? A 3 B 12 C 4 D 15 Answer 107

108 47 Can a 3 times table have even numbers as products? Yes No Answer Factors x3 108

109 48 What is 3 x 8? Answer 109

110 49 Five friends each get ice cream cones with three scoops. How many total scoops are there? Answer 110

111 Multiply by 4 click to return to table of contents 111

112 Multiplying by 4 When given the multiplication of 3 x 4, you can picture 3 groups of four. It can be helpful to use the circles as your groups. Make 3 groups with 4 quarters in each. Teacher Notes 112

113 Multiplying by 4 Counting by fours and creating arrays may also help you with your 4 times tables. 4, 8, But have you heard of double doubling? You've been taught that multiplying by two can be done by doubling. If you double that one more time, you've multiplied by four. For example, 4 x 5 can be thought of as doubling 5. That will equal 10. Then double that, and you will have 20. So, 4 x 5 =

114 Multiplying by 4 Fill out the multiplication chart below. Factors x4 Is there a pattern? What else do you notice? 114

115 Multiplying by 4 Another way to quickly recall multiplication facts is to think of your 2 times table and double that. 115

116 Multiplying by 4 Notice how the 4 times tables are double the 2 times tables. 116

117 Practice Multiplying by 4 Let's multiply by 4. Roll the 6 sided dice to see by which factor you are multiplying the 4. Can you double the double? Once you find a product, you may pop that balloon. Play until all balloons have been popped. x = 117

118 Multiplication by 4 Game Click on the snow to play a multiplication game. 118

119 50 The products of multiplication problems with 4 in them are all odd. True False Answer 119

120 51 What is 4 x 8? Answer 120

121 52 The waitress gave us 4 packs of crayons when we sat down to eat. There were 4 crayons in each pack. How many crayons are there? A 8 B 0 C 16 D 44 Answer 121

122 53 The number 36 has 4 as a factor. What is the other factor? A 9 B 32 C 40 D 0 Answer 122

123 54 Does the picture show a multiple of 4? Yes No Answer 123

124 Multiply by 6 click to return to table of contents 124

125 Multiplying by 6 When given the multiplication of 6 x 4, you can picture 6 groups of four. It can be helpful to use the circles as your groups. Make 6 groups with 4 x's in each. Teacher Notes 125

126 Counting by six and creating arrays may also help you with your 6 times tables. 6, 12, Multiplying by 6 6 x 3 126

127 Multiplying by 6 Fill out the multiplication chart below. Factors x6 Is there a pattern? What else do you notice? 127

128 Let's play a game of multiplication by 6 tic tac toe. Multiplication by 6 Game 6 x o x Teacher Notes

129 Multiplication by 6 Game Click on the fish to play a multiplication game. 129

130 55 The products of multiplication problems with 6 in them are all odd. True False Answer 130

131 56 I rolled 4 dice. Each die landed on 6. What was the product of all of the dice? A 10 B 2 C 16 D 24 Answer 131

132 57 What is not a multiple of 6? A 6 B 16 C 24 D 42 Answer 132

133 58 Does the picture below show a multiple of 6? Yes No Answer 133

134 59 What is 6 x 8? Answer 134

135 Multiply by 7 click to return to table of contents 135

136 Multiplying by 7 If the seven swans a swimming decide to become seven swans a laying. How many eggs will there be after each lays six eggs? Teacher Notes Use the nests and the eggs to show a picture to match the story problem. 136

137 Multiplying by 7 Creating arrays may also help you with your 7 times tables. Use the pen to trace around the squares to make arrays with 7 as a factor. 137

138 Multiplying by 7 Fill out the multiplication chart below. Factors x7 Is there a pattern? What else do you notice? 138

139 Multiplying by 7 The baker has several birthdays coming up. If each cake receives 7 candles, how many candles will he need to order for the 9 cakes he has baked? The cake is infinitely cloned. What is your multiplication number sentence? 139

140 Multiplication by 7 Game Click on the rocking horse to play a multiplication game. 140

141 60 The products of multiplication problems with 7 in them are all odd. True False Answer 141

142 61 The seven dwarves were getting ready to go to work. Each carried two pick axes. How many axes were there? A 9 B 5 C 72 D 14 Answer 142

143 62 When in a word problem, what word could mean 7? A meter B Half dozen C week D octagon Answer 143

144 63 If I had 5 of the following cards, would I have 35 hearts? Yes No Answer 144

145 64 What is 7 x 8? Answer 145

146 Multiply by 8 click to return to table of contents 146

147 Multiplying by 8 If 7 itsy bitsy spiders crawl up to the top of a wall, how many spider legs will there be in all? Teacher Notes 147

148 Multiplying by 8 Creating arrays may also help you with your 8 times tables. Use the pen to trace around the squares to make arrays with 8 as a factor. 148

149 Multiplying by 8 Fill out the multiplication chart below. Factors x8 Is there a pattern? What else do you notice? 149

150 Multiplying by 8 Mario is the head chef at Tony's Pizza House. He makes sure each pizza is cut into 8 slices. How many slices of pizza will there be if Mario serves 5 pizzas during his lunch rush? The pizzas are infinitely cloned. What is the multiplication number sentence you could use? 150

151 Multiplication by 8 Game Click on the bear to play a multiplication game. 151

152 65 The products of multiplication problems with 8 in them are all even. True False Answer 152

153 66 Most jobs ask you to work 8 hours a day for 5 days each week. How many hours is that in all? A 13 B 3 C 40 D 85 Answer 153

154 67 When in a word problem, what word could mean 8? A ate B Half dozen C week D octagon Answer 154

155 68 This is an array that shows 8 x 4. Yes No Answer 155

156 69 What is 9 x 8? Answer 156

157 70 Which two statements can be represented by the expression 4x8? A A teacher puts 8 chairs at each of 4 tables. B Tom buys 4 red markers and 8 black markers. C Marie shares her 8 marbles equally among 4 friends. D There are 4 rows of flowers. There are 8 flowers in each row. E There are 8 ducks in the pond. Then, 4 more ducks join them. Answer From PARCC EOY sample test #2 157

158 Multiply by 9 click to return to table of contents 158

159 Multiplying by 9 A cat is said to have 9 lives. If there were six cats, how many "lives" would they have altogether? Teacher Notes 159

160 Multiplying by 9 Creating arrays may also help you with your 9 times tables. Use the pen t trace around the squares to make arrays with 9 as a factor. 160

161 Multiplying by 9 There is also a strategy for your 9 times tables using your hands. Place your hands in front of you like so. If you put down your left pinky, how many fingers do you have up? If you put down your next finger, how many fingers do you have to the left of that finger? How many fingers do you have to the right? If you put down your next finger, how many fingers do you have to the left of that finger? How many fingers do you have to the right? 161

162 Multiplying by 9 162

163 Multiplying by 9 Fill out the multiplication chart below. Factor x 9 Is there a pattern? What else do you notice? 163

164 Multiplying by 9 Game Click on the window to play a multiplication game. 164

165 71 The products of multiplication problems with 9 in them are all even. True False Answer 165

166 72 Nine teachers each have 4 computers in their classrooms. How many computers is that in all? A 13 B 5 C 36 D 94 Answer 166

167 73 What number is not a multiple of 9? A 9 B 19 C 27 D 90 Answer 167

168 74 If there are 9 starfish, there would be 45 legs? Yes No Answer 168

169 75 What is 9 x 8? Answer 169

170 76 Cade has 4 boxes. He puts 9 model cars in each box. What is the total number of model cars Cade put in these boxes? Answer From PARCC EOY sample test #25 170

171 Squares & Rectangles click to return to table of contents 171

172 Squares A square is a shape where all four sides are the same length. The four corners are all right angles. 172

173 173

174 Rectangles A rectangle is a four sided shape. All four corners are right angles. 174

175 Squares & Rectangles A square is a shape where all four sides are the same length. The four corners are all right angles. A rectangle is a four sided shape. All four corners are right angles. It is important to remember that because of the definition of a RECTANGLE, all squares are in fact rectangles. They meet the definition in that they have four sides and all four corners are right angles. A rectangle is only a SQUARE when all four sides are the same length and all four corners are right angles. 175

176 176

177 77 Choose all of the below that are squares. A B C D E F Answer 177

178 78 Choose all of the below that are rectangles. A B C D E F Answer 178

179 79 Is a square a rectangle? Yes No Answer 179

180 80 Is a rectangle a square? Yes No Answer 180

181 Unit Squares and Tiling Area of Squares click to return to table of contents 181

182 What is Area? Area is the space inside of an object. For example, in a backyard the grass inside the fence makes up the area of the yard. fence = perimeter grass = area 182

183 What is Area? Area is the number of square units it takes to cover the surface of a unit. 1 unit A unit square, is a square that has side lengths of one. 1 unit 183

184 Area On grid paper, make a square that has sides of 3 units. How many unit squares would you need to cover the area of the square? Teacher Notes unit square 184

185 Area Now make a square that has sides of 4 units. How many unit squares would you need to cover the area of the square? Teacher Notes unit square 185

186 81 The area is the part around the outside of a shape. True False Answer 186

187 82 How many unit squares will it take to cover this square? Answer 187

188 83 How many unit squares will it take to cover this square? Answer 188

189 84 If a square has side lengths of 7, how many unit squares do you think it will take to cover it? (Do not draw this example.) Answer 189

190 Finding the Area of a Square Area can be found by counting the unit squares on a grid. It is also found by multiplying the length and the width of a square. Because of the definition of a square, we know that each side has the same length. Sometimes, length and width are called base and height. These two measurements are also called the dimensions. Identify the parts of the rectangle below. Drag words from the bubble to show where they belong. AREA or length width base height or 190

191 Area of a Square Square Side Lengths Number of Unit Squares to Cover Teacher Notes 191

192 85 What is the area of a square with side lengths of 9 units? square units Answer 192

193 86 What is the area of a square with side lengths of 10 units? units 2 Answer 193

194 87 What is the area of a square with side lengths of 1 inch? square inches Answer 194

195 Area of Rectangles click to return to table of contents 195

196 Area of Rectangles On grid paper, make a rectangle that has sides of 3 units by 2 units. How many unit squares would you need to cover the rectangle? unit square Teacher Notes 196

197 On grid paper, make a rectangle that has sides of 3 units by 6 units. Area of Rectangles How many unit squares would you need to cover the rectangle? unit square Teacher Notes 197

198 Area of Rectangles On grid paper, make a rectangle that has sides of 4 units by 5 units. How many unit squares would you need to cover the rectangle? unit square Teacher Notes 198

199 On grid paper, make a rectangle that has sides of 5 units by 3 units. Area of Rectangles How many unit squares would you need to cover the rectangle? unit square Teacher Notes 199

200 Finding the Area of a Rectangle Area is found by counting the unit squares taken up by a grid. It can also be found by multiplying the length and the width of a rectangle. Sometimes, length and width are called base and height. These two measurements are also called the dimensions. Identify the parts of the rectangle below. Drag words from the bubble to show where they belong. length AREA or width base height or 200

201 Area of Rectangles Sometimes, you are given the length and width of a rectangle. Multiply them together to find the area. 8 3 length x width = area 8 x 3 = 24 the area is

202 Area of Rectangles Rectangle Length Rectangle Width Number of Unit Squares to Cover Teacher Notes 202

203 In other cases, you may only know the measure of one side and the total area. Your job is to find the length of the remaining side. Think: length x = area Area of Rectangles? Use what you already know about multiplication and fact families to help you find the missing width. For example,? 5 x? = 45 5 The length must be 9 because 5 x 9 =

204 Let's help solve a problem! Practice Tyler is a home painter. He knows he will need enough paint to cover a wall area of 80 square feet. The wall is 10 feet wide. What is the length of a wall? What do we already know? We know the width and the area. Let's use our fact families to figure out the length of the wall. feet x 10 feet = 80 square feet 8 feet x 10 feet = 80 square feet 204

205 Area of Rectangles Game Click the button to play a game. 205

206 88 How many unit squares will it take to cover this rectangle? square units Answer 206

207 89 How many unit squares will it take to cover this rectangle? square units Answer 207

208 90 Look at the shaded rectangles below. Which area would you drag to label below Rectangle Number 3? A B C D feet 4 feet 6 feet 20 square feet 24 square feet 27 square feet 28 square feet 7 feet 9 feet 3 feet Teacher Notes From PARCC EOY sample test #19 208

209 91 If a rectangle has side length of 7 and a side width of 3, how many unit squares do you think it will take to cover it? (Do not draw this example.) units 2 Answer 209

210 92 If a rectangle has side length of 5 and a side width of 8, how many unit squares do you think it will take to cover it? (Do not draw this example.) units 2 Answer 210

211 93 What is the area of a rectangle with a side length of 10 feet and a side width of 3 feet? square feet Answer 211

212 94 What is the area of a rectangle with a side length of 1 inch and a side width of 3 inch? in 2 Answer 212

213 95 Which rectangle has an area of 24 square units? A C Answer B D From PARCC PBA sample test #14 213

214 Area Word Problems click to return to table of contents 214

215 Area Word Problems As with any word problems, read each carefully to make sure you understand the problem. You may draw pictures and use multiplication to solve each problem. The units are important. Do not forget to include them in your answer. 215

216 96 A rectangular field measures 10 ft by 4ft. What is the area of this field? feet 2 Answer 216

217 97 Cooper wants new carpeting for his bedroom. His room is 5 yd by 8 yd. How much carpeting does he need to buy to cover his bedroom floor? square yards Answer 217

218 98 Mrs. Clark decided to change the tile in her classroom. Her classroom has a length of 7 m and the width of 10 m. If each tile is 1 square meter, how many tiles would she need to cover the floor? tiles Answer 218

219 99 There is a square garden with the side length of 7 m. What is the area of the garden? m 2 Answer 219

220 100 The area of a square photo is 25 square inches. What is the length of one of the sides of the photo? inches Answer 220

221 101 Mr. George is building square platforms for students to reach their SMARTboards. Can he build one with the area of 56 square inches? Yes No Answer 221

222 102 Janie is covering a bulletin board for the school talent show. The board is 9 ft by 5 ft. How many square feet of paper will she need to cover the board? feet 2 Answer 222

223 103 Each side of our kitchen TV is 9 inches long. What is the area of the TV screen? inches 2 Answer 223

224 104 I counted the squares that were inside the rectangle I drew. There were 48 squares. What are the side lengths of my rectangle (dimensions)? A 7 x 7 B C 6 x 8 D 48 x 2 Answer 224

225 105 A room has an area of 24 square feet. Its length is 3 feet long. What is the width? feet Answer 225

226 106 Jenny is making a box garden in her backyard. The length of her box garden is 8 yards. The area inside where she will fill dirt is 72 square yards. What is the width of her box garden in yards? Answer 226

227 107 Ken draws a rectangle with an area of 35 square inches. The width of the rectangle is 5 inches. What is the length of Ken's rectangle? Answer From PARCC EOY sample test #27 227

228 108 Mr. James is covering his bulletin boards with paper to start the new school year. His bulletin board is 7 feet wide, and he has already cut 56 square feet of red paper. Determine the length of his bulletin board. A 9 feet B 8 feet C 7 feet D 6 feet Welcome to Mr. J's Class Answer 228

229 109 Cathy purchased a new tablecloth for her birthday party. The area of the tablecloth is 24 square feet. What are possible dimensions of the tablecloth? Choose all that apply. A 12 ft x 12 ft B 8 ft x 3 ft C 5 ft x 8 ft Answer D 6 ft x 4 ft 229

230 110 Gina's bedroom floor is in the shape of a rectangle. It is 10 feet long and 9 feet wide. What is the area of Gina's bedroom floor? A 19 square feet B 38 square feet C 90 square feet Answer D 109 square feet From PARCC PBA sample test #1 230

231 111 Part A Tori and Leo set up their clubhouse with four tables. These rectangles represent the tabletops. A B C Enter the two tabletops with the same area, in square feet, and explain how you know that the areas are equal. Answer D From PARCC PBA sample test #8 231

232 112 Part B The grid shows Table C and Table D placed end to end to make a new, larger tabletop. Answer Tori uses the expression 3 x (2 + 4) to find the total area of the new, larger tabletop. Leo uses the expression (3 x 2) + (3 x 4) to find the total area of the new, larger tabletop. Enter the total area, in square feet, of the new, larger tabletop. Use a grid to explain why both Tori's expression and Leo's expression are correct. From PARCC PBA sample test #8 232

233 113 Adam needs to put 19 pictures from Classroom A and 23 pictures from Classroom B on a bulletin board. He wants to display the pictures in an array. Part A Select a box for each pictures to create an array to represent the pictures on the bulletin board. Answer From PARCC PBA sample test #9 233

234 114 Part B (continued from previous slide) Find the area of the array. Explain your answer using an equation or equations. Answer From PARCC PBA sample test #9 234