3rd Grade. Fractions

Size: px

Start display at page:

Download "3rd Grade. Fractions"

Cody Hamilton
5 years ago
Views:

1 Slide 1 / 215

2 Slide 2 / 215 3rd Grade Fractions

3 Equal Parts Fractions of a Group Slide 3 / 215 Table of Contents Click title to go to that section Exploring Fractions with Pattern Blocks Fractions on a Number Line Comparing Fractions with Same D enominators or Numerators Benchmarks Equivalent Fractions Whole Number Fractions Measurement to Nearest H alf and Quarter Inch

4 Slide 4 / 215 Links to PARCC sample questions Performance Based Assessment Non-Calculator #4 Non-Calculator #5 Non-Calculator #7 Non-Calculator #17 End of Year Non-Calculator #3 Non-Calculator #8 Non-Calculator #13 Non-Calculator #17 Non-Calculator #23 Non-Calculator #28 Non-Calculator #30 Non-Calculator #35

5 Slide 5 / 215 Equal Parts Return to Table of Contents

6 Slide 6 / 215 Key Terms Fraction - An expression that indicates the quotient ( ) of two quantities. Numerator - The number above the fraction bar. The numerator answers the question "How many parts?" Denominator - The number below the fraction bar. The denominator answers the question "How many total?" Fraction = Numerator 3 = Denominator 7

7 Slide 7 / 215 Where have you seen fractions? How do we use fractions? 96/100= A+

8 Slide 8 / 215 These are halves. How do you write one half? numerator denominator

9 Slide 9 / 215 These are thirds. How do you write one third?

10 Slide 10 / 215 These are Fourths. How do you show and write two fourths?

11 Slide 11 / 215 Sixths How do you show and write two sixths?

12 Slide 12 / 215 Eighths How do you show and write eight eighths?

$fractions$

13 Slide 13 / 215 What fractions are represented below?

14 Slide 14 / 215 Internet links for more practice Fractions Parts of a Whole Model Fractions Naming Model

15 Slide 15 / Does this show? Yes No

16 Slide 16 / What fraction of the whole is shaded?

17 Slide 17 / What fraction of the whole is white?

18 Slide 18 / What fraction could this picture show? A B C D Both A and B Neither A nor B

19 Slide 19 / How many more yellow pieces do I need to make this fraction?

20 Slide 20 / Which of the following could be used to show? A B C D

21 Slide 21 / Bella cut her ribbon into 4 pieces that are the same length. The length of one piece of ribbon is what fraction of the length of the ribbon?

22 Slide 22 / A whole is divided into 4 equal parts. Write the fraction that represents 3 parts of the whole.

23 Slide 23 / A whole is divided into 6 equal parts. Write the fraction that represents 1 part of the whole.

24 Slide 24 / A whole is divided into 7 equal parts. Write the fraction that represents 4 parts of the whole.

25 Slide 25 / Lee needs of a cup of sugar to make cookies. He will measure the sugar using a cup scoop. How many times will Lee need to fill the cup scoop in order to measure of a cup of sugar?

26 Slide 26 / Sasha needs of a cup of mix to make pancakes She will measure the mix using a cup scoop. How many times will Sasha need to fill the cup scoop in order to measure of a cup of mix?

27 Slide 27 / Which three shapes have parts that are the area of their whole shape. A B C D E Drag and drop the correct three shapes into the box. From PARCC sample test

28 Slide 28 / Select the two shapes that have parts that are each of the area of the whole shape. A D B E C From PARCC sample test

Slide 29 / 215 15 A flower garden is divided into equal parts. The color of the flowers planted in each part of the garden is shown. Select the three statements that are true.

29 Slide 29 / A flower garden is divided into equal parts. The color of the flowers planted in each part of the garden is shown. Select the three statements that are true. A There are red or yellow flowers in of the garden. B Purple flowers are planted in C Pinks flowers are planted in of the garden. of the garden. D Each part of the garden is E There are yellow flowers in F Red flowers are planted in From PARCC sample test of the whole garden. of the garden. of the garden.

30 Slide 30 / Each model equals one whole divided into equal parts. Which models show shaded? Select the three correct answers. A D B E C F From PARCC sample test

31 Slide 31 / An artist plans to paint a wall in a room. The wall is divided into 6 equal parts so that each part can be painted a different color. Part A The artist goes to the store to buy brushes and small cans of paint. He pays a total of $94. He buys 8 brushes that cost $5 each. The rest of the money is used for the 6 cans of paint. Each can of paint costs the same amount. How much does each can of paint cost? (Show your work on paper at your desk and be ready to explain) From PARCC sample test

$A Each painted part it B Each painted part it C Each painted part it of the whole wall. of the whole wall. of the whole wall. D The fraction of the wall not yet painted is.$

32 18 Part B Slide 32 / 215 The artist starts painting the wall. The parts of the wall that look white are not painted yet. Which statements about the wall are correct? Select the two correct statements. A Each painted part it B Each painted part it C Each painted part it of the whole wall. of the whole wall. of the whole wall. D The fraction of the wall not yet painted is. E The fraction of the wall not yet painted is. F The fraction of the wall not yet painted is. From PARCC sample test

33 Slide 33 / 215 Fractions of a Group Return to Table of Contents

34 Slide 34 / 215 The last lesson focused on dividing a whole shape into fractions. This lesson focuses on fractions of group of objects. 1 of the whole 2 1 of the group of apples

35 Slide 35 / 215 What fraction of the shapes are circles? Step 1: Count the circles. This is your numerator. Step 2: Count all of the shapes. This is the denominator.

36 Slide 36 / 215 What fraction of the nickels are heads up? What fraction of the nickels are on tails?

37 Slide 37 / 215 What fraction of the faces are happy? What fraction of the faces are sad?

38 Slide 38 / 215 Circle of the mice. Circle of the lions. Circle of the frogs.

39 Slide 39 / 215 Click the cookie to practice fractions of a group.

40 Slide 40 / Are of the lions in the triangle? Yes No

41 Slide 41 / What fraction of the frogs are boxed below? A C B D

$fraction is$

42 Slide 42 / What fraction is not circled?

43 Slide 43 / of the dogs are wearing a bow. True False

44 Slide 44 / What fraction of the flowers are not in the vase?

45 Slide 45 / 215 Exploring Fractions with Pattern Blocks Return to Table of Contents

46 Slide 46 / 215 Groups of students need:

47 Slide 47 / 215 How many are in one?

48 Slide 48 / 215 The is what fraction of the?

49 Slide 49 / How many green triangles are in one red trapezoid?

50 Slide 50 / The green triangle is what fraction of the red trapezoid?

51 Slide 51 / How many green triangles are in one yellow hexagon?

52 Slide 52 / The green triangle is what fraction of the yellow hexagon?

53 Slide 53 / How many blue rhombuses are in one yellow hexagon?

54 Slide 54 / The blue rhombus is what fraction of the yellow hexagon?

55 Slide 55 / How many red trapezoids are in one yellow hexagon?

56 Slide 56 / The red trapezoid is what fraction of the yellow hexagon?

57 Slide 57 / 215 Small group/ individual practice with online pattern blocks. Click for web site.

58 Slide 58 / 215 Pattern block activity Groups need a container of pattern blocks and will use pattern blocks to represent fractions of a group.

59 Slide 59 / 215 Drag blocks needed down into work space. WORK SPACE In this group of 8 pattern blocks, 3 of them are triangles. of the group is triangles

60 Slide 60 / 215 Drag blocks needed down into work space. WORK SPACE Make a group of 5 pattern blocks, with 2 of them squares. Fraction =

61 Slide 61 / 215 Drag blocks needed down into work space. WORK SPACE Make a group of 7 pattern blocks, with 6 of them trapezoids. Fraction =

62 Slide 62 / 215 Drag blocks needed down into work space. WORK SPACE Make a group of 3 pattern blocks, with 2 of them hexagons. Fraction =

63 Slide 63 / What fraction of this group of pattern blocks is squares?

64 Slide 64 / What fraction of this group of pattern blocks is triangles?

65 Slide 65 / What fraction of this group of pattern blocks is hexagons?

66 Slide 66 / What fraction of this group of pattern blocks is trapezoids?

67 Slide 67 / What fraction of this group of pattern blocks is triangles?

68 Slide 68 / 215 Fractions on a Number Line Return to Table of Contents

69 Slide 69 / 215 There are numbers between 0 and What is a number that is greater than 0 but less than 1?

70 Slide 70 / 215 How did you know what the number was? 0 1 The number line was divided into 2 equal sections.

71 Slide 71 / 215 What denominator would you use if the number line was divided into 3 equal parts? 0 1

72 Slide 72 / 215 What denominator would you use if the number line was divided into 4 equal parts? 0 1

73 Slide 73 / Should you use a 6 in the denominator for this number line? Yes No 0 1

74 Slide 74 / What denominator would you use to represent the lines on this number line? 0 1

75 Slide 75 / What denominator would you use to represent the lines on this number line? 0 1

76 Slide 76 / What denominator would you use to represent the lines on this number line? 0 1

77 Slide 77 / What denominator would you use to represent the lines on this number line? 0 1

78 Slide 78 / 215 Move the fractions to label the lines on the number line. 0 1

79 Slide 79 / 215 Divide the number line into 7 equal parts and label it. 0 1

80 Slide 80 / 215 Divide the number line into 5 equal parts and label it. 0 1

81 Slide 81 / 215 Click for Number Line Game

82 Slide 82 / What fraction is missing from the number line? A C B D

83 Slide 83 / What is the fraction for the red dot? 0 1?

84 Slide 84 / What is the fraction for the red dot? 0 1?

85 Slide 85 / What is the fraction for the red dot? 0? 1

86 Slide 86 / Where should be placed? 0 A B C 1

87 Slide 87 / What fraction should be placed with point Z? A B C 0 X Y Z 1

88 Slide 88 / The point on the number line below represents the fraction. Which point shows? A B C D

89 Slide 89 / The point on the number line below represents the fraction. Which point shows 1? A B C D

90 Slide 90 / The point on the number line below represents the fraction. Which point shows 0? A B C D

91 Slide 91 / Which letter shows where would be plotted on the number line? A B C D From PARCC sample test

92 Slide 92 / Which letter is positioned at? A B C D From PARCC sample test

93 Slide 93 / A fraction is shown on the number line. Which letter is positioned on the number line to show a fraction that is equivalent to the fraction shown on the other number line? A B C D From PARCC sample test

94 Slide 94 / Which letter is positioned at? A B C D From PARCC sample test

95 Slide 95 / Mia placed point P on the number line. What is the value of P as a fraction? A C B D What does the denominator of your fraction represent on the number line? What does the numerator of your fraction represent on the number line? From PARCC sample test

96 Slide 96 / 215 Comparing Fractions Return to Table of Contents

97 Slide 97 / 215 To compare fractions, you could use pictures or number lines to determine which fractions are greater. By using these strategies, you will come up with some rules to remember.

98 Slide 98 / 215 Let's compare 4/5 and 2/5. Which one is greater? How do you know? What rule could you use when comparing fractions with the same denominator?

99 Slide 99 / 215 Compare each set of fractions. (Drag fraction to box on right to see the inequality symbol) 2 < < > > < Slide each problem over to the blue side to see if you are correct.

100 Slide 100 / A C =

101 Slide 101 / A C =

102 Slide 102 / A C =

103 Slide 103 / A C =

104 Slide 104 / Classroom A has of the students buying school lunch. Classroom B has of the students buying lunch. Which classroom has the larger fraction of the students buying lunch? A Classroom A B Classroom B

105 Slide 105 / 215 Let's compare 1/5 and 1/2. Which one is greater? How do you know? What rule could you use when comparing fractions with the same numerator?

$Slide 106 / 215 Compare each set of fractions.$

106 Slide 106 / 215 Compare each set of fractions. Move the magnifying glass to see if you are correct. 2 < > < > < > 4 6 8

107 Slide 107 / is less than. Yes No

108 Slide 108 / Which fraction is greater than? A B C D Both A and B Neither A Nor B

109 Slide 109 / A C =

110 Slide 110 / A C =

111 Slide 111 / A C =

$fractions with the same denominators or the same$

112 Slide 112 / 215 Click the fish to practice comparing fractions with the same denominators or the same numerators.

113 Slide 113 / Enter a fraction larger than.

114 Slide 114 / Enter a fraction larger than.

115 Slide 115 / Enter a fraction less than.

116 Slide 116 / Enter a fraction less than.

117 Slide 117 / Which three comparisons are true? A = B = C = D = E = From PARCC sample test

118 Slide 118 / < Select the three fractions that make this comparison true. A B C D E From PARCC sample test

119 Slide 119 / 215 Benchmark F ractions Return to Table of Contents

120 Slide 120 / This circle has of it shaded. This is very close to zero. This circle has of it shaded. This is very close to one.

121 Slide 121 / <

122 Slide 122 / This rectangle has of it shaded. This is very close to zero. This rectangle has of it shaded. This is very close to one.

123 Slide 123 / <

124 Slide 124 / This group has of it sharks. This is very close to zero (or none of the group). This group has of it dogs. This is very close to one (or the whole group).

125 Slide 125 / <

126 Slide 126 / Which fraction is closest to zero? A B C D

127 Slide 127 / Which fraction is closest to zero? A B C D

128 Slide 128 / Which fraction is closest to one? A B C D

129 Slide 129 / Which fraction is closest to one? A B C D

130 Slide 130 / 215

131 Slide 131 / 215

132 Slide 132 / 215

133 Slide 133 / We can also see if a fraction is equal to or close to.

134 Slide 134 / < <

135 Slide 135 / Very close to zero. Very close to. Very close to one whole.

136 Slide 136 / < <

137 Slide 137 / This group has of it purple stars, this is very close to zero. This group has of it pink hearts, this is very close to of the group. This group has of it blue triangles, this is very close to the whole group.

138 Slide 138 / < <

139 Slide 139 / 215 Move the magnifier to find the fractions that are close to half.

140 Slide 140 / Which fraction is closest to? A B C D

141 Slide 141 / Which fraction is closest to? A B C D

142 Slide 142 / Which fraction is closest to? A B C D

143 Slide 143 / Which group shows about of it as stars? A B C

144 Slide 144 / Which group shows about of it as circles? A B C

145 Slide 145 / 215 Equivalent Fractions Return to Table of Contents

146 Slide 146 / 215 Key Term Equivalent Fractions- Fractions that represent the same number or are equal to one another.

147 Slide 147 / 215 How many 1/4 pieces fit in the 1/2 piece? Write as a fraction. How many 1/6 pieces fit in the 1/2 piece? How many 1/8 pieces fit in the 1/2 piece? 1/2 1/4 pieces 1/6 pieces 1/8 pieces These fractions are equivalent.

148 Slide 148 / 215 How many 1/6 pieces fit in a 1/3? 1/3 1/6 pieces We show equivalence by writing both fractions with an equal sign. =

149 Slide 149 / 215 The fraction bars below are equivalent because they are the same size What do you notice about the denominators in each set of equivalent fractions?

$Slide 150 / 215 Drag the red rectangle to see equivalent fractions on$

150 Slide 150 / 215 Drag the red rectangle to see equivalent fractions on number lines. What do you notice about the numerators and denominators?

151 Slide 151 / 215 To create equivalent fractions, multiply (or divide) the numerator and denominator by the same number. 2 x 3 = 6 4 x 3 = = = 7

152 Slide 152 / 215 Practice finding equivalent fractions with this game. Click the star to play!

153 Slide 153 / Are the shaded areas equivalent? Yes No

154 Slide 154 / Which fraction is equivalent to? A C B D

155 Slide 155 / Write a fraction equivalent to. 1 3

156 Slide 156 / Which set of fractions is equivalent? A 1 = C 1 = B 4 = D 3 =

157 Slide 157 / Write a fraction equivalent to. 5 9

158 Slide 158 / 215 Whole Number Fractions Return to Table of Contents

159 Slide 159 / 215 Numerator = How many parts? Denominator = How many total?

160 Slide 160 / 215 This is read as 3 over 1. It is 3 parts of 1 total.

161 Slide 161 / 215 If each circle is one whole, then this picture shows that 3 wholes are shaded.

162 Slide 162 / 215 The fraction bar means division. If you take the whole number 3 and divide it by 1. What would your answer be?

163 Slide 163 / 215

164 Slide 164 / What whole number is equal to? A B C 4 D 1

165 Slide 165 / What whole number is equal to?

166 Slide 166 / What whole number is equal to?

167 Slide 167 / What fraction is equal to the whole number 7? A B C D 7

168 Slide 168 / What fraction is equal to the whole number 8?

169 Slide 169 / What fraction is equal to the whole number 3?

170 Slide 170 / 215 Measurement to the Nearest Half and Quarter Inch Return to Table of Contents

171 Slide 171 / 215 Inch Small units of length are called inches. The abbreviation of inch is in. Depending on how big your thumb is, your thumbnail can be about 1 inch. Can you think of some things you could measure in inches?

172 Slide 172 / 215 Follow these steps to measure something correctly: Determine the unit you are measuring in. Choose the correct tool. Correctly line up the measuring tool. Measure to the nearest unit. Label your measurement.

173 Slide 173 / 215 Let's measure this line in inches. Determine the unit you are measuring in. Choose the correct tool. Correctly line up the measuring tool. Measure to the nearest unit. Label your measurement.

174 Slide 174 / 215 Let's measure this line in inches. x Determine the unit you are measuring in. Choose the correct tool. Correctly line up the measuring tool. Measure to the nearest unit. Label your measurement.

175 Slide 175 / 215 Let's measure this line in inches. x x Determine the unit you are measuring in. Choose the correct tool. Correctly line up the measuring tool. Measure to the nearest unit. Label your measurement.

176 Slide 176 / 215 Let's measure this line in inches. x x x Determine the unit you are measuring in. Choose the correct tool. Correctly line up the measuring tool. Measure to the nearest unit. Label your measurement.

177 Slide 177 / 215 Let's measure this line in inches. x x x x Determine the unit you are measuring in. Choose the correct tool. Correctly line up the measuring tool. Measure to the nearest unit. Label your measurement. 3 in.

178 Slide 178 / 215 Click on The Ruler Game to practice measuring in inches.

179 Slide 179 / This line is 4 inches long. Yes No

180 Slide 180 / How long is this line? in.

181 Slide 181 / How many inches is this pencil? in.

182 Slide 182 / How many inches is this crayon? in.

183 Slide 183 / 215

184 Slide 184 / 215 In between each of the numbers on a ruler are 1/2 inches.

185 Slide 185 / 215 Let's measure in half inches. Correctly line up the measuring tool. Measure to the nearest half inch. Label your measurement.

186 Slide 186 / 215 Let's measure in half inches. Correctly line up the measuring tool. Measure to the nearest half inch. Label your measurement.

187 Slide 187 / 215 Let's measure in half inches. Correctly line up the measuring tool. Measure to the nearest half inch. Label your measurement. 3 1/2 in.

188 Slide 188 / 215 Let's measure in half inches. Correctly line up the measuring tool. Measure to the nearest half inch. Label your measurement. 3 1/2 in.

189 Slide 189 / 215 Click on The Ruler Game to practice measuring in half inches.

190 Slide 190 / This line is inch long. Yes No

191 Slide 191 / How many inches is this comb? in. A B C D 3 1/2 in. 2 in. 2 1/2 in. 1/2 in.

Slide 192 / 215 102 How many inches is this

192 Slide 192 / How many inches is this card? in. A B C D 3 1/2 in. 2 in. 2 1/2 in. 1/2 in.

193 Slide 193 / How long is this line? in.

194 Slide 194 / 215 When measuring an object, we can get a more exact measurement using inch increments.

195 Slide 195 / 215 What do you notice about inch? in.

196 Slide 196 / Is inches equivalent to inches? Yes No

197 Slide 197 / Is in. equivalent to in.? Yes No

198 Slide 198 / 215 Let's measure in quarter inches. Correctly line up the measuring tool. Measure to the nearest quarter inch. Label your measurement.

199 Slide 199 / 215 Let's measure in quarter inches. Correctly line up the measuring tool. Measure to the nearest quarter inch. Label your measurement.

200 Slide 200 / 215 Let's measure in quarter inches. Correctly line up the measuring tool. Measure to the nearest quarter inch. Label your measurement. in.

201 Slide 201 / 215 Click to practice measuring in quarter inches.

202 Slide 202 / Measure the line. Students type their answers here

203 Slide 203 / Measure the line. Students type their answers here

204 Slide 204 / Measure the line. Students type their answers here

205 Slide 205 / Measure the line. Students type their answers here

206 Slide 206 / Measure the object. Students type their answers here

207 Slide 207 / Measure this object. Students type their answers here

208 Slide 208 / Measure this object. Students type their answers here

209 Slide 209 / Measure this object. Students type their answers here

210 Slide 210 / Measure this object. Students type their answers here

211 Slide 211 / Measure this object. Students type their answers here

212 Slide 212 / Measure this object. Students type their answers here

213 Slide 213 / Measure this object. Students type their answers here

214 Slide 214 / Measure this object. Students type their answers here

215 Slide 215 / Measure this object. Students type their answers here

3rd Grade. Fractions. Equal Parts. Slide 1 / 215 Slide 2 / 215. Slide 4 / 215. Slide 3 / 215. Slide 5 / 215. Slide 6 / 215.

3rd Grade. Fractions. Equal Parts. Slide 1 / 215 Slide 2 / 215. Slide 4 / 215. Slide 3 / 215. Slide 5 / 215. Slide 6 / 215. Slide 1 / 215 Slide 2 / 215 3rd Grade Fractions 2015-03-31 www.njctl.org Equal Parts Fractions of a Group Whole Number Fractions Slide 3 / 215 Comparing Fractions with Same D enominators or Numerators