New Jersey Center for Teaching and Learning. Progressive Mathematics Initiative
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1 Slide 1 / 201 New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at and is intended for the non-commercial use of students and teachers. These materials may not be used for any commercial purpose without the written permission of the owners. NJCTL maintains its website for the convenience of teachers who wish to make their work available to other teachers, participate in a virtual professional learning community, and/or provide access to course materials to parents, students and others. Click to go to website:
2 Slide 2 / 201 3rd Grade Fractions
3 Slide 3 / 201 Table of Contents Equal Parts Fractions of a group Click title to go to that section Exploring Fractions with Pattern Blocks Fractions on a number line Comparing Fractions with Same Denominators or Numerators Benchmarks Equivalent Fractions Whole number fractions Measurement to Nearest half and quarter inch.
4 Slide 4 / 201 Equal Parts Return to Table of Contents
5 Slide 5 / 201 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 Denominator = 3 7
6 Slide 6 / 201 Where have you seen fractions? How do we use fractions? 96 =A 0 0 /1 +
7 These are halves. How do you write one half? numerator denominator Pull Slide 7 / 201 Use the followin to demonstrate c various fractions
8 Slide 8 / 201 These are thirds. How do you write one third?
9 Slide 9 / 201 These are Fourths. How do you show and write two fourths?
10 Slide 10 / 201 Sixths How do you show and write two sixths?
11 Slide 11 / 201 Eighths How do you show and write eight eighths?
12 Slide 12 / 201 What fractions are represented below?
13 Slide 13 / 201 Internet links for more practice Fractions Parts of a Whole Model Fractions Naming Model
14 Slide 14 / Does this show Yes No?
15 Slide 15 / 201 What fraction of the whole is shaded? Pull for teacher instructions 2
16 Slide 16 / What fraction of the whole is white?
17 Slide 17 / What fraction could this picture show? A B C Both A and B D Neither A nor B
18 Slide 18 / How many more yellow pieces do I need to make this fraction?
19 Slide 19 / Which of the following could be used to show A B C D?
20 Slide 20 / 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?
21 Slide 21 / A whole is divided into 4 equal parts. Write the fraction that represents 3 parts of the whole.
22 Slide 22 / A whole is divided into 7 equal parts. Write the fraction that represents 4 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 / 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 order to measure -cup scoop in of a cup of sugar?
25 Slide 25 / 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 scoop in order to measure -cup of a cup of mix?
26 Slide 26 / 201 Fractions of a Group Return to Table of Contents
27 Slide 27 / 201 The last lesson focused on dividing a whole shape into fractions. This lesson focuses on fractions of group of objects. 1 of the whole of the group of apples 2
28 Slide 28 / 201 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.
29 Slide 29 / 201 What fraction of the nickels are heads up? What fraction of the nickels are on tails?
30 Slide 30 / 201 What fraction of the faces are happy? What fraction of the faces are sad?
31 Slide 31 / 201 Circle Circle of the mice. Circle of the frogs. of the lions.
32 Slide 32 / 201 Click the cookie to practice fractions of a group.
33 Slide 33 / Are Yes No of the lions in the triangle?
34 Slide 34 / What fraction of the frogs are boxed below? A C B D
35 Slide 35 / What fraction is not circled?
36 Slide 36 / of the dogs are wearing a bow. True False
37 Slide 37 / What fraction of the flowers are not in the vase?
38 Slide 38 / 201 Exploring Fractions with Pattern Blocks Return to Table of Contents
39 Slide 39 / 201 Pull for teacher instructions Groups of students need:
40 Slide 40 / 201 Pull for teacher instructions How many are in one?
41 Slide 41 / 201 Pull for teacher instructions The is what fraction of the?
42 Slide 42 / How many green triangles are in one red trapezoid? Pull for teacher instructions
43 Slide 43 / The green triangle is what fraction of the red trapezoid? Pull for teacher instructions
44 Slide 44 / How many green triangles are in one yellow hexagon? Pull for teacher instructions
45 Slide 45 / The green triangle is what fraction of the yellow hexagon? Pull for teacher instructions
46 Slide 46 / How many blue rhombuses are in one yellow hexagon? Pull for teacher instructions
47 Slide 47 / The blue rhombus is what fraction of the yellow hexagon? Pull for teacher instructions
48 Slide 48 / How many red trapezoids are in one yellow hexagon? Pull for teacher instructions
49 Slide 49 / The red trapezoid is what fraction of the yellow hexagon? Pull for teacher instructions
50 Slide 50 / 201 Small group/ individual practice with online pattern blocks. Click for web site.
51 Slide 51 / 201 Pattern block activity Groups need a container of pattern blocks and will use pattern blocks to represent fractions of a group.
52 Slide 52 / 201 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
53 Slide 53 / 201 Drag blocks needed down into work space. WORK SPACE Make a group of 5 pattern blocks, with 2 of them squares. Fraction =
54 Slide 54 / 201 Drag blocks needed down into work space. WORK SPACE Make a group of 7 pattern blocks, with 6 of them trapezoids. Fraction =
55 Slide 55 / 201 Drag blocks needed down into work space. WORK SPACE Make a group of 3 pattern blocks, with 2 of them hexagons. Fraction =
56 Slide 56 / What fraction of this group of pattern blocks is squares?
57 Slide 57 / What fraction of this group of pattern blocks is triangles?
58 Slide 58 / What fraction of this group of pattern blocks is hexagons?
59 Slide 59 / What fraction of this group of pattern blocks is trapezoids?
60 Slide 60 / What fraction of this group of pattern blocks is triangles?
61 Slide 61 / 201 Fractions on a Number Line Return to Table of Contents
62 Slide 62 / 201 There are numbers between 0 and 1. 0 What is a number that is greater than 0 but less than 1? 1
63 Slide 63 / 201 How did you know what the number was? 0 1 The number line was divided into 2 equal sections.
64 Slide 64 / 201 What denominator would you use if the number line was divided into 3 equal parts? 0 1
65 Slide 65 / 201 What denominator would you use if the number line was divided into 4 equal parts? 0 1
66 Slide 66 / Should you use a 6 in the denominator for this number line? Yes No 0 1
67 Slide 67 / What denominator would you use to represent the lines on this number line? 0 1
68 Slide 68 / What denominator would you use to represent the lines on this number line? 0 1
69 Slide 69 / What denominator would you use to represent the lines on this number line? 0 1
70 Slide 70 / What denominator would you use to represent the lines on this number line? 0 1
71 Slide 71 / 201 Move the fractions to label the lines on the number line. 0 1
72 Slide 72 / 201 Divide the number line into 7 equal parts and label it. 0 1
73 Slide 73 / 201 Divide the number line into 5 equal parts and label it. 0 1
74 Slide 74 / 201 Click for Number Line Game
75 Slide 75 / What fraction is missing from the number line? A C B D
76 Slide 76 / What is the fraction for the red dot? 0? 1
77 Slide 77 / What is the fraction for the red dot? 0? 1
78 Slide 78 / What is the fraction for the red dot? 0? 1
79 Slide 79 / Where should 0 be placed? A B C 1
80 Slide 80 / What fraction should be placed with point Z? A B 0 X C Y Z 1
81 Slide 81 / The point on the number line below represents the fraction. Which point shows? A B C D
82 Slide 82 / The point on the number line below represents the fraction. Which point shows 1? A B C D
83 Slide 83 / The point on the number line below represents the fraction. Which point shows 0? A B C D
84 Slide 84 / 201 Comparing Fractions Return to Table of Contents
85 Slide 85 / 201 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.
86 Slide 86 / 201 Pull 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?
87 Slide 87 / 201 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.
88 Slide 88 / A < B > C =
89 Slide 89 / A < B > C =
90 Slide 90 / A < B > C =
91 Slide 91 / A < B > C =
92 Slide 92 / 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
93 Slide 93 / 201 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? Pull 0
94 Slide 94 / 201 Compare each set of fractions. Move the magnifying glass to see if you are correct. 2 < > > < < > 4 6 8
95 Slide 95 / is less than Yes No.
96 Slide 96 / Which fraction is greater than A B C Both A and B D Neither A Nor B?
97 Slide 97 / A < B > C =
98 Slide 98 / A < B > C =
99 Slide 99 / A < B > C =
100 Slide 100 / 201 Click the fish to practice comparing fractions with the same denominators or the same numerators.
101 Slide 101 / Enter a fraction larger than.
102 Slide 102 / Enter a fraction larger than.
103 Slide 103 / Enter a fraction less than.
104 Slide 104 / Enter a fraction less than.
105 Slide 105 / 201 Benchmark Fractions Return to Table of Contents
106 Slide 106 / This circle has of it shaded. This is very close to zero. 1 This circle has of it shaded. This is very close to one.
107 Slide 107 / <
108 Slide 108 / This rectangle has of it shaded. This is very close to zero. 1 This rectangle has of it shaded. This is very close to one.
109 Slide 109 / < 1
110 Slide 110 / This group has of it sharks. This is very close to zero (or none of the group). 1 This group has of it dogs. This is very close to one (or the whole group).
111 Slide 111 / <
112 Slide 112 / Which fraction is closest to zero? A B C D
113 Slide 113 / Which fraction is closest to zero? A B C D
114 Slide 114 / Which fraction is closest to one? A B C D
115 Slide 115 / Which fraction is closest to one? A B C D
116 Slide 116 / Compare the two fractions. A < B >
117 Slide 117 / Compare the two fractions. A < B >
118 Slide 118 / Compare the two fractions. A < B >
119 Slide 119 / We can also see if a fraction is equal to or close to. 1
120 Slide 120 / < <
121 Slide 121 / Very close to zero. 1 Very close to. Very close to one whole.
122 Slide 122 / < <
123 Slide 123 / This group has of it purple stars, this is very close to zero. 1 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.
124 Slide 124 / < <
125 Slide 125 / 201 Move the magnifier to find the fractions that are close to half.
126 Slide 126 / Which fraction is closest to A B? C D
127 Slide 127 / Which fraction is closest to A B? C D
128 Slide 128 / Which fraction is closest to A B? C D
129 Slide 129 / Which group shows about stars? A B of it as C
130 Slide 130 / Which group shows about circles? A B of it as C
131 Slide 131 / 201 Equivalent Fractions Return to Table of Contents
132 Slide 132 / 201 Key Term Equivalent Fractions- Fractions that represent the same number or are equal to one another.
133 Slide 133 / 201 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 These fractions are equivalent. 1/6 pieces 1/8 pieces
134 Slide 134 / 201 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. =
135 Slide 135 / 201 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? 1 9
136 Slide 136 / 201 Drag the red rectangle to see equivalent fractions on number lines. What do you notice about the numerators and denominators?
137 Slide 137 / x3 = 6 4 x 3 = = 3 = 2 7 Pull To create equivalent fractions, multiply (or divide) the numerator and denominator by the same number.
138 Slide 138 / 201 Practice finding equivalent fractions with this game. Click the star to play!
139 Slide 139 / Are the shaded areas equivalent? Yes No click for answer
140 Slide 140 / Which fraction is equivalent to? A C B D
141 Slide 141 / Write a fraction equivalent to 1. 3
142 Slide 142 / Which set of fractions is equivalent? A 1 = C 1 = B 4 = D 3 =
143 Slide 143 / Write a fraction equivalent to 5. 9
144 Slide 144 / 201 Whole Number Fractions Return to Table of Contents
145 Slide 145 / 201 Numerator = How many parts? Denominator = How many total?
146 Slide 146 / 201 This is read as 3 over 1. It is 3 parts of 1 total.
147 Slide 147 / 201 If each circle is one whole, then this picture shows that 3 wholes are shaded.
148 Slide 148 / 201 The fraction bar means division. If you take the whole number 3 and divide it by 1. What would your answer be?
149 Slide 149 / 201
150 Slide 150 / What whole number is A B C 4 D 1 equal to?
151 Slide 151 / What whole number is equal to?
152 Slide 152 / What whole number is equal to?
153 Slide 153 / What fraction is equal to the whole number 7? A B C D 7
154 Slide 154 / What fraction is equal to the whole number 8?
155 Slide 155 / What fraction is equal to the whole number 3?
156 Slide 156 / 201 Measurement to the Nearest Half and Quarter Inch Return to Table of Contents
157 Slide 157 / 201 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?
158 Slide 158 / 201 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.
159 Slide 159 / 201 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.
160 Slide 160 / 201 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.
161 Slide 161 / 201 Let's measure this line in inches. x Determine the unit you are measuring in. x Choose the correct tool. Correctly line up the measuring tool. Measure to the nearest unit. Label your measurement.
162 Slide 162 / 201 Let's measure this line in inches. x Determine the unit you are measuring in. x Choose the correct tool. x Correctly line up the measuring tool. Measure to the nearest unit. Label your measurement.
163 Slide 163 / 201 Let's measure this line in inches. x Determine the unit you are measuring in. x Choose the correct tool. x Correctly line up the measuring tool. x Measure to the nearest unit. Label your measurement. 3 in.
164 Slide 164 / 201 Click on The Ruler Game to practice measuring in inches.
165 Slide 165 / This line is 4 inches long. Yes No
166 Slide 166 / How long is this line? in.
167 Slide 167 / How many inches is this pencil? in.
168 Slide 168 / How many inches is this crayon? in.
169 Slide 169 / How many inches is this paper clip? in.
170 Slide 170 / 201 In between each of the numbers on a ruler are 1/2 inches.
171 Slide 171 / 201 Let's measure in half inches. Correctly line up the measuring tool. Measure to the nearest half inch. Label your measurement.
172 Slide 172 / 201 Let's measure in half inches. Correctly line up the measuring tool. Measure to the nearest half inch. Label your measurement.
173 Slide 173 / 201 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.
174 Slide 174 / 201 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.
175 Slide 175 / 201 Click on The Ruler Game to practice measuring in half inches.
176 Slide 176 / This line is Yes No inch long.
177 Slide 177 / How many inches is this comb? in. A 3 1/2 in. B 2 in. C 2 1/2 in. D 1/2 in.
178 Slide 178 / How many inches is this card? in. A 3 1/2 in. B 2 in. C 2 1/2 in. D 1/2 in.
179 Slide 179 / How long is this line? in.
180 Slide 180 / 201 When measuring an object, we can get a more exact measurement using inch increments.
181 Slide 181 / 201 inch? Pull What do you notice about in.
182 Slide 182 / Is Yes No inches equivalent to inches?
183 Slide 183 / Is Yes No in. equivalent to in.?
184 Slide 184 / 201 Let's measure in quarter inches. Correctly line up the measuring tool. Measure to the nearest quarter inch. Label your measurement.
185 Slide 185 / 201 Let's measure in quarter inches. Correctly line up the measuring tool. Measure to the nearest quarter inch. Label your measurement.
186 Slide 186 / 201 Let's measure in quarter inches. Correctly line up the measuring tool. Measure to the nearest quarter inch. Label your measurement. in.
187 Slide 187 / 201 Click to practice measuring in quarter inches.
188 Slide 188 / Measure the line. Students type their answers here
189 Slide 189 / Measure the line. Students type their answers here
190 Slide 190 / Measure the line. Students type their answers here
191 Slide 191 / Measure the line. Students type their answers here
192 Slide 192 / Measure the object. Students type their answers here
193 Slide 193 / Measure this object. Students type their answers here
194 Slide 194 / Measure this object. Students type their answers here
195 Slide 195 / Measure this object. Students type their answers here
196 Slide 196 / Measure this object. Students type their answers here
197 Slide 197 / Measure this object. Students type their answers here
198 Slide 198 / Measure this object. Students type their answers here
199 Slide 199 / Measure this object. Students type their answers here
200 Slide 200 / Measure this object. Students type their answers here
201 Slide 201 / Measure this object. Students type their answers here
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