GRADE 3 Fractions WORKSHEETS Introducing fractions – modeling fractions 1 Show one half in a different way on each rectangle: a 2 b c Color the fractions of each shape: a two quarters 4 c Show how each shape can be divided into quarters: a 3 b b three quarters c one half d one quarter Answer these sharing problems. Draw a picture to match: aI have 4 candies and I have to share them with my brother. How many do we each get? out of bThere are 8 cookies to be shared among 4 people. How many does each person get? out of Copyright © 3P Learning Grade 3 | FRACTIONS | 3.NF.1 1 Introducing fractions – modeling fractions Fractions are written like this: 1 4 5 The number on the bottom is the denominator and shows the number of parts in the whole. Look at these fraction diagrams and label them. a 6 The number on the top is the numerator and shows the number of parts being considered. 1 out of 2 b out of c out of d out of e out of f out of Share this chocolate bar among 4 kids: a Draw lines to show how you will break it. bHow many pieces will each kid get? c Show this as a fraction. Copyright © 3P Learning Grade 3 | FRACTIONS | 3.NF.1 2 Working with fractions – modeling fractions A fraction is a part of a whole. This circle had been divided into 8 pieces and has 5 pieces shaded. 5 5 shaded parts = 8 8 parts altogether 1 Divide each shape into quarters. Shade one quarter: a 2 4 b c d c d Shade one third of each shape: a 3 The top number is the numerator, the bottom number is the denominator. b What fraction is shaded? a b c Fraction shaded Fraction shaded Fraction shaded 1 This is 3 of a shape. Copyright © 3P Learning Draw the whole shape in the box. Grade 3 | FRACTIONS | 3.NF.1 3 Working with fractions – modeling fractions 5 Complete the table for each shape. a b c d e f Shape a b c d e f Fraction that is shaded _____ _____ _____ _____ _____ _____ Fraction that is unshaded _____ _____ _____ _____ _____ _____ This shape has 8 pieces. To show half, I have shaded 4 pieces. 6 How many different ways can you show a half? Copyright © 3P Learning Grade 3 | FRACTIONS | 3.NF.1 4 Introducing fractions – comparing and ordering fractions This fraction wall is just like your fraction strips laid out side by side. 1 whole 1 4 1 8 1 1 2 1 8 1 8 1 4 1 8 1 8 1 2 1 4 1 8 halves 1 8 1 4 quarters 1 8 eighths Label the following fractions: a b c d e What do you notice with the fractions shown in b and d? ______________________________________________________________________ 2 3 Use the fraction wall at the top of this page to decide which fraction is larger and circle it: a 1 4 or 3 8 b 2 8 or 1 2 c 3 4 or 4 8 d 1 2 or 5 8 e 5 8 or 3 4 f 2 4 or 3 8 Put these fractions in order from smallest to largest: 4 1 3 7 a 8 , 8 , 4 , 8 Copyright © 3P Learning 7 1 1 5 b 8 , 2 , 4 , 8 Grade 3 | FRACTIONS | 3.NF.3.D 5 Introducing fractions – comparing and ordering fractions Let us now look at placing fractions on number lines. 4 halves 0 2 quarters 0 4 eighths 0 8 1 2 1 4 1 8 2 8 2 2 2 4 3 8 3 4 4 8 5 8 6 8 4 4 7 8 8 8 Label the missing fractions on these number lines: a 0 4 b 0 8 2 4 2 8 4 8 4 4 6 8 8 8 2 4 c What do you notice about 4 and 8 ? ______________________________________________________________________ 5 Label this number line with quarters above the line and eighths below the line: 6 Draw a line to match each of these fractions to the correct position on the number line. Use the number lines at the top of the page to help you. 7 3 1 3 1 1 8 4 4 8 1 2 0 Copyright © 3P Learning 1 Grade 3 | FRACTIONS | 3.NF.2 6 Working with fractions – comparing and ordering fractions 0 1 0 2 1 2 2 2 0 1 0 4 1 4 2 4 4 4 3 4 0 1 0 8 1 1 8 2 8 3 8 4 8 5 8 6 8 7 8 8 8 Connect the fractions to their places on the number lines. 1 3 a 1 6 0 1 1 2 b 1 4 5 8 0 1 1 2 c 3 4 0 1 3 8 d 5 8 1 4 1 2 0 Copyright © 3P Learning 3 4 1 Grade 3 | FRACTIONS | 3.NF.1 7
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