New Jersey Center for Teaching and Learning. Progressive Mathematics Initiative

Slide 1 / 201 New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org 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: www.njctl.org

Slide 2 / 201 3rd Grade Fractions 2013-05-21 www.njctl.org

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.

Slide 4 / 201 Equal Parts Return to Table of Contents

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

Slide 6 / 201 Where have you seen fractions? How do we use fractions? 96 =A 0 0 /1 +

These are halves. How do you write one half? numerator denominator Pull Slide 7 / 201 Use the followin to demonstrate c various fractions

Slide 8 / 201 These are thirds. How do you write one third?

Slide 9 / 201 These are Fourths. How do you show and write two fourths?

Slide 10 / 201 Sixths How do you show and write two sixths?

Slide 11 / 201 Eighths How do you show and write eight eighths?

Slide 12 / 201 What fractions are represented below?

Slide 13 / 201 Internet links for more practice Fractions Parts of a Whole Model Fractions Naming Model

Slide 14 / 201 1 Does this show Yes No?

Slide 15 / 201 What fraction of the whole is shaded? Pull for teacher instructions 2

Slide 16 / 201 3 What fraction of the whole is white?

Slide 17 / 201 4 What fraction could this picture show? A B C Both A and B D Neither A nor B

Slide 18 / 201 5 How many more yellow pieces do I need to make this fraction?

Slide 19 / 201 6 Which of the following could be used to show A B C D?

Slide 20 / 201 7 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?

Slide 21 / 201 8 A whole is divided into 4 equal parts. Write the fraction that represents 3 parts of the whole.

Slide 22 / 201 9 A whole is divided into 7 equal parts. Write the fraction that represents 4 parts of the whole.

Slide 23 / 201 10 A whole is divided into 6 equal parts. Write the fraction that represents 1 part of the whole.

Slide 24 / 201 11 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?

Slide 25 / 201 12 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?

Slide 26 / 201 Fractions of a Group Return to Table of Contents

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 2 1 2 1 2 1 of the group of apples 2

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.

Slide 29 / 201 What fraction of the nickels are heads up? What fraction of the nickels are on tails?

Slide 30 / 201 What fraction of the faces are happy? What fraction of the faces are sad?

Slide 31 / 201 Circle Circle of the mice. Circle of the frogs. of the lions.

Slide 32 / 201 Click the cookie to practice fractions of a group.

Slide 33 / 201 13 Are Yes No of the lions in the triangle?

Slide 34 / 201 14What fraction of the frogs are boxed below? A C B D

Slide 35 / 201 15What fraction is not circled?

Slide 36 / 201 16 of the dogs are wearing a bow. True False

Slide 37 / 201 17What fraction of the flowers are not in the vase?

Slide 38 / 201 Exploring Fractions with Pattern Blocks Return to Table of Contents

Slide 39 / 201 Pull for teacher instructions Groups of students need:

Slide 40 / 201 Pull for teacher instructions How many are in one?

Slide 41 / 201 Pull for teacher instructions The is what fraction of the?

Slide 42 / 201 18How many green triangles are in one red trapezoid? Pull for teacher instructions

Slide 43 / 201 19The green triangle is what fraction of the red trapezoid? Pull for teacher instructions

Slide 44 / 201 20How many green triangles are in one yellow hexagon? Pull for teacher instructions

Slide 45 / 201 21The green triangle is what fraction of the yellow hexagon? Pull for teacher instructions

Slide 46 / 201 22How many blue rhombuses are in one yellow hexagon? Pull for teacher instructions

Slide 47 / 201 23The blue rhombus is what fraction of the yellow hexagon? Pull for teacher instructions

Slide 48 / 201 24How many red trapezoids are in one yellow hexagon? Pull for teacher instructions

Slide 49 / 201 25The red trapezoid is what fraction of the yellow hexagon? Pull for teacher instructions

Slide 50 / 201 Small group/ individual practice with online pattern blocks. Click for web site.

Slide 51 / 201 Pattern block activity Groups need a container of pattern blocks and will use pattern blocks to represent fractions of a group.

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

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 =

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 =

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 =

Slide 56 / 201 26What fraction of this group of pattern blocks is squares?

Slide 57 / 201 27What fraction of this group of pattern blocks is triangles?

Slide 58 / 201 28What fraction of this group of pattern blocks is hexagons?

Slide 59 / 201 29What fraction of this group of pattern blocks is trapezoids?

Slide 60 / 201 30What fraction of this group of pattern blocks is triangles?

Slide 61 / 201 Fractions on a Number Line Return to Table of Contents

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

Slide 63 / 201 How did you know what the number was? 0 1 The number line was divided into 2 equal sections.

Slide 64 / 201 What denominator would you use if the number line was divided into 3 equal parts? 0 1

Slide 65 / 201 What denominator would you use if the number line was divided into 4 equal parts? 0 1

Slide 66 / 201 31Should you use a 6 in the denominator for this number line? Yes No 0 1

Slide 67 / 201 32What denominator would you use to represent the lines on this number line? 0 1

Slide 68 / 201 33What denominator would you use to represent the lines on this number line? 0 1

Slide 69 / 201 34What denominator would you use to represent the lines on this number line? 0 1

Slide 70 / 201 35What denominator would you use to represent the lines on this number line? 0 1

Slide 71 / 201 Move the fractions to label the lines on the number line. 0 1

Slide 72 / 201 Divide the number line into 7 equal parts and label it. 0 1

Slide 73 / 201 Divide the number line into 5 equal parts and label it. 0 1

Slide 74 / 201 Click for Number Line Game

Slide 75 / 201 36What fraction is missing from the number line? A C B D 0 1 5 3 4 5 5 1

Slide 76 / 201 37What is the fraction for the red dot? 0? 1

Slide 77 / 201 38What is the fraction for the red dot? 0? 1

Slide 78 / 201 39What is the fraction for the red dot? 0? 1

Slide 79 / 201 40Where should 0 be placed? A B C 1

Slide 80 / 201 41What fraction should be placed with point Z? A B 0 X C Y Z 1

Slide 81 / 201 42 The point on the number line below represents the fraction. Which point shows? A B C D

Slide 82 / 201 43 The point on the number line below represents the fraction. Which point shows 1? A B C D

Slide 83 / 201 44 The point on the number line below represents the fraction. Which point shows 0? A B C D

Slide 84 / 201 Comparing Fractions Return to Table of Contents

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.

Slide 86 / 201 Pull Let's compare 4/5 and 2/5. Which one is greater? How do you know? 1 5 0 1 What rule could you use when comparing fractions with the same denominator?

Slide 87 / 201 Compare each set of fractions. (Drag fraction to box on right to see the inequality symbol) 2 < 4 6 6 1 < 2 2 2 4 > 2 5 5 3 > 2 4 4 1 < 2 3 3 Slide each problem over to the blue side to see if you are correct.

Slide 88 / 201 45 A C =

Slide 89 / 201 46 A C =

Slide 90 / 201 47 A C =

Slide 91 / 201 48 A C =

Slide 92 / 201 49 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

Slide 93 / 201 Let's compare 1/5 and 1/2. Which one is greater? How do you know? 1 5 1 1 2 What rule could you use when comparing fractions with the same numerator? Pull 0

Slide 94 / 201 Compare each set of fractions. Move the magnifying glass to see if you are correct. 2 < 2 5 2 1 > 1 2 3 3 > 3 4 5 6 < 6 12 10 5 < 5 9 7 4 > 4 6 8

Slide 95 / 201 50 is less than Yes No.

Slide 96 / 201 51 Which fraction is greater than A B C Both A and B D Neither A Nor B?

Slide 97 / 201 52 A C =

Slide 98 / 201 53 A C =

Slide 99 / 201 54 A C =

Slide 100 / 201 Click the fish to practice comparing fractions with the same denominators or the same numerators.

Slide 101 / 201 55Enter a fraction larger than.

Slide 102 / 201 56Enter a fraction larger than.

Slide 103 / 201 57Enter a fraction less than.

Slide 104 / 201 58Enter a fraction less than.

Slide 105 / 201 Benchmark Fractions Return to Table of Contents

Slide 106 / 201 0 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.

Slide 107 / 201 0 1 <

Slide 108 / 201 0 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.

Slide 109 / 201 0 < 1

Slide 110 / 201 0 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).

Slide 111 / 201 0 1 <

Slide 112 / 201 59Which fraction is closest to zero? A B C D

Slide 113 / 201 60Which fraction is closest to zero? A B C D

Slide 114 / 201 61Which fraction is closest to one? A B C D

Slide 115 / 201 62Which fraction is closest to one? A B C D

Slide 116 / 201 63Compare the two fractions. A

Slide 117 / 201 64Compare the two fractions. A

Slide 118 / 201 65Compare the two fractions. A

Slide 119 / 201 0 We can also see if a fraction is equal to or close to. 1

Slide 120 / 201 0 1 < <

Slide 121 / 201 0 Very close to zero. 1 Very close to. Very close to one whole.

Slide 122 / 201 0 1 < <

Slide 123 / 201 0 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.

Slide 124 / 201 0 1 < <

Slide 125 / 201 Move the magnifier to find the fractions that are close to half.

Slide 126 / 201 66Which fraction is closest to A B? C D

Slide 127 / 201 67Which fraction is closest to A B? C D

Slide 128 / 201 68Which fraction is closest to A B? C D

Slide 129 / 201 69Which group shows about stars? A B of it as C

Slide 130 / 201 70Which group shows about circles? A B of it as C

Slide 131 / 201 Equivalent Fractions Return to Table of Contents

Slide 132 / 201 Key Term Equivalent Fractions- Fractions that represent the same number or are equal to one another.

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

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. =

Slide 135 / 201 The fraction bars below are equivalent because they are the same size. 1 9 1 9 What do you notice about the denominators in each set of equivalent fractions? 1 9

Slide 136 / 201 Drag the red rectangle to see equivalent fractions on number lines. What do you notice about the numerators and denominators?

Slide 137 / 201 2 x3 = 6 4 x 3 = 12 6 21 3 = 3 = 2 7 Pull To create equivalent fractions, multiply (or divide) the numerator and denominator by the same number.

Slide 138 / 201 Practice finding equivalent fractions with this game. Click the star to play!

Slide 139 / 201 71Are the shaded areas equivalent? Yes No click for answer

Slide 140 / 201 72Which fraction is equivalent to? A C B D

Slide 141 / 201 73Write a fraction equivalent to 1. 3

Slide 142 / 201 74Which set of fractions is equivalent? A 1 = 2 2 2 C 1 = 3 3 6 B 4 = 1 8 4 D 3 = 9 7 21

Slide 143 / 201 75Write a fraction equivalent to 5. 9

Slide 144 / 201 Whole Number Fractions Return to Table of Contents

Slide 145 / 201 Numerator = How many parts? Denominator = How many total?

Slide 146 / 201 This is read as 3 over 1. It is 3 parts of 1 total.

Slide 147 / 201 If each circle is one whole, then this picture shows that 3 wholes are shaded.

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?

Slide 149 / 201

Slide 150 / 201 76What whole number is A B C 4 D 1 equal to?

Slide 151 / 201 77What whole number is equal to?

Slide 152 / 201 78What whole number is equal to?

Slide 153 / 201 79What fraction is equal to the whole number 7? A B C D 7

Slide 154 / 201 80What fraction is equal to the whole number 8?

Slide 155 / 201 81What fraction is equal to the whole number 3?

Slide 156 / 201 Measurement to the Nearest Half and Quarter Inch Return to Table of Contents

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?

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.

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.

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.

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.

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.

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.

Slide 164 / 201 Click on The Ruler Game to practice measuring in inches.

Slide 165 / 201 82This line is 4 inches long. Yes No

Slide 166 / 201 83How long is this line? in.

Slide 167 / 201 84How many inches is this pencil? in.

Slide 168 / 201 85How many inches is this crayon? in.

Slide 169 / 201 86How many inches is this paper clip? in.

Slide 170 / 201 In between each of the numbers on a ruler are 1/2 inches.

Slide 171 / 201 Let's measure in half inches. Correctly line up the measuring tool. Measure to the nearest half inch. Label your measurement.

Slide 172 / 201 Let's measure in half inches. Correctly line up the measuring tool. Measure to the nearest half inch. Label your measurement.

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.

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.

Slide 175 / 201 Click on The Ruler Game to practice measuring in half inches.

Slide 176 / 201 87This line is Yes No inch long.

Slide 177 / 201 88How many inches is this comb? in. A 3 1/2 in. B 2 in. C 2 1/2 in. D 1/2 in.

Slide 178 / 201 89How many inches is this card? in. A 3 1/2 in. B 2 in. C 2 1/2 in. D 1/2 in.

Slide 179 / 201 90How long is this line? in.

Slide 180 / 201 When measuring an object, we can get a more exact measurement using inch increments.

Slide 181 / 201 inch? Pull What do you notice about in.

Slide 182 / 201 91 Is Yes No inches equivalent to inches?

Slide 183 / 201 92 Is Yes No in. equivalent to in.?

Slide 184 / 201 Let's measure in quarter inches. Correctly line up the measuring tool. Measure to the nearest quarter inch. Label your measurement.

Slide 185 / 201 Let's measure in quarter inches. Correctly line up the measuring tool. Measure to the nearest quarter inch. Label your measurement.

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.