Jumpstarters for Fractions & Decimals

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2 About the Author Vicky Shiotsu graduated from the University of British Columbia with a Bachelor s degree in Education. She taught elementary school at various grade levels for eight years. She also worked as a teacher at a reading/math center before becoming an editor for an educational publishing company. Currently, Vicky helps develop a wide variety of teaching resources, ranging from books and bulletin boards to manipulatives and electronic games. Vicky has a passion for making learning a meaningful and fun process for students. In addition to writing educational materials, she tutors students of all ages in math and reading and teaches enrichment classes in algebra and geometry.

3 Jumpstarters for Fractions & Decimals Short Daily Warm-ups for the Classroom By VICKY SHIOTSU COPYRIGHT 2007 Mark Twain Media, Inc. ISBN Printing No. CD EB Mark Twain Media, Inc., Publishers Distributed by Carson-Dellosa Publishing Company, Inc. The purchase of this book entitles the buyer to reproduce the student pages for classroom use only. Other permissions may be obtained by writing Mark Twain Media, Inc., Publishers. All rights reserved. Printed in the United States of America.

4 Table of Contents Table of Contents Introduction to the Teacher... Fractions: Identifying Fractional Parts...2 Fractions: Comparing Fractions...3 Fractions: Fractional Parts of a Number...4 Fractions: Equivalent Fractions...5 Fractions: Simplest Form...6 Fractions: Improper Fractions & Mixed Numbers...7 Fractions: Using Fractions to Show Division... Fractions: Adding & Subtracting With Like Denominators...9 Fractions: Least Common Multiple & Greatest Common Factor...0 Fractions: Adding Fractions With Unlike Denominators... Fractions: Subtracting Fractions With Unlike Denominators...2 Fractions: Adding Mixed Numbers...3 Fractions: Subtracting Mixed Numbers...4 Fractions: Multiplying Fractions...5 Fractions: Multiplying Mixed Numbers...6 Fractions: Dividing Fractions...7 Fractions: Dividing Mixed Numbers... Decimals: Tenths & Hundredths...9 Decimals: Thousandths...20 Decimals: Decimals & Mixed Numbers...2 Decimals: Decimals & Place Value...22 Decimals: Comparing Decimals...23 Decimals: Comparing Fractions, Mixed Numbers, & Decimals...24 Decimals: Rounding Decimals...25 Decimals: Adding & Subtracting Tenths...26 Decimals: Adding & Subtracting Hundredths...27 Decimals: Adding & Subtracting Thousandths...2 Decimals: Multiplying Whole Numbers & Decimals...29 Decimals: Multiplying Decimals by Decimals...30 Decimals: Zeros in the Product...3 Decimals: Dividing Decimals by a Whole Number...32 Decimals: Writing Remainders as Decimals...33 Decimals: Dividing Whole Numbers by Decimals...34 Decimals: Dividing Decimals by Decimals...35 Decimals: Dividing & Rounding...36 Decimals: Multiplying by Powers of Decimals: Dividing by Powers of Decimals: Converting Fractions to Decimals...39 Answer Keys...40 ii

Introduction to the Teacher Introduction to the Teacher Just as physical warm-ups help athletes prepare for more strenuous types of activity, mental warm-ups help students prepare for the day s

$The short warm-up activities presented in this book provide teachers and parents with activities that help develop and reinforce skills involving fractions and decimals.$ $This book has been divided into two sections: the first section focuses on fractions, while the second presents decimals. The skills in each section are presented in a progressive order.$

5 Introduction to the Teacher Introduction to the Teacher Just as physical warm-ups help athletes prepare for more strenuous types of activity, mental warm-ups help students prepare for the day s lesson while reviewing what they have previously learned. The short warm-up activities presented in this book provide teachers and parents with activities that help develop and reinforce skills involving fractions and decimals. Each page contains five warm-ups one for each day of the school week. Used at the beginning of class, warm-ups help students focus on topics related to fractions and decimals. This book has been divided into two sections: the first section focuses on fractions, while the second presents decimals. The skills in each section are presented in a progressive order. Generally, students should master the skills at the beginning of a section in order to successfully complete the activities that are at the end of a section. However, the five activities that are presented on any given page do not need to be presented in a sequential order, since they all relate to the same topic or skill. For example, the third warm-up activity on the Multiplying Fractions page may be presented before the first one. Suggestions for use: Copy and cut apart one page each week. Give students one warm-up activity each day at the beginning of class. Give each student a copy of the entire page to complete day by day. Students can keep the completed pages in a three-ring binder or folder to use as a resource. Make transparencies of individual warm-ups and complete the activities as a group. Provide additional copies of warm-ups in your learning center for students to complete at random when they have a few extra minutes. Keep some warm-ups on hand to use as fill-ins when the class has a few extra minutes before lunch or dismissal.

6 Fractions Identifying Fractional Parts 7 6 Fractions Identifying Fractional Parts Identifying Fractional Parts Write the fraction for the shaded part. A. B. C. Identifying Fractional Parts 2 Write the fraction for the shaded part. A. B. C. Identifying Fractional Parts 3 Write the fraction for each. A. two fourths D. five sixths B. three fifths E. four ninths C. six tenths F. three thirds Identifying Fractional Parts 4 A. If 5 of 2 flowers are red, what fraction of the flowers are red? B. If 7 of 0 balloons are blue, what fraction of the balloons are not blue? C. There are 9 caps. If 5 caps are white and 2 caps are yellow, what fraction of the caps are white or yellow? Identifying Fractional Parts 5 Write two fractions that describe the part of the square that is shaded. Explain your answer. 2

$7 6 Fractions Comparing Fractions Fractions Comparing Fractions Comparing Fractions Write > or < in the circle to compare the fractions. A. #h @h D. %h ats B. &l *l E. $g $f C. @d @f F.$

7 7 6 Fractions Comparing Fractions Fractions Comparing Fractions Comparing Fractions Write > or < in the circle to compare the fractions. A. D. %h ats B. &l *l E. $g F. &l au; Comparing Fractions 2 A. Jim ate!f of the pizza. Tracy ate!h of it. Lee ate!d of the pizza. Who ate the most pizza? Who ate the least? B. Megan has a container of beads. If #g of the beads are red and #h are blue, does Megan have more red beads or blue beads? Comparing Fractions 3 Write the fractions in order from the least to the greatest. A. %k,!k, &k, #k B.!j,!s,!d,!l C. #g, #j, #f, ae; D. ^k, ay;, ays, ^h LEAST GREATEST Comparing Fractions 4 Comparing Fractions 5 Write >, <, or =. Use the bars to help you. C. #h!s D. #f $h Use the numbers in the circle to fill in the boxes. Write each number only once. A.!f < > 2 C. ao; >

8 Fractions Fractional Parts of a Number 7 6 Fractions Fractional Parts of a Number Fractional Parts of a Number Find the following numbers. A.!s of 0 = D.!d of 2 = B.!d of 5 = E.!j of 4 = C.!g of 20 = F.!f of 32 = Fractional Parts of a Number 2 A. There were 2 beads. One-fourth of the beads were green. How many beads were green? B. There were 30 students in the class. If onesixth of them wore glasses, how many students wore glasses? Fractional Parts of a Number 3 How does knowing that!g of 60 equals 2 help you find out what $g of 60 equals? Fractional Parts of a Number 4 Find the following numbers. A. What is #f of 6? B. What is #k of 24? C. What of 20? D. What is %j of 2? Fractional Parts of a Number 5 A. Dean baked some cookies. He gave one-half of them to Lee. Now Dean has cookies. How many cookies did Dean bake in all? B. Kwan baked some brownies. Her family ate one-fourth of them. Now there are 2 brownies left. How many brownies did Kwan bake? C. Jamie baked some muffins. She gave half of them to Brent. Then she gave half of what she had left to Sara. Now Jamie has 6 muffins left. How many muffins did Jamie bake? 4

9 Fractions Equivalent Fractions 7 6 Fractions Equivalent Fractions Equivalent Fractions Make equivalent fractions. A.!d = D.!f = 5 9 B. #g = = 0 0 C. $j = F. %k = 20 2 Equivalent Fractions 2 A. List three equivalent fractions for!s. Look at the numerators and denominators. What pattern do you see? B. List three equivalent fractions for!g. Look at the numerators and denominators. What pattern do you see? Equivalent Fractions 3 Write a fraction for the shaded part. Write two equivalent fractions for each picture. A. B. C. D. Equivalent Fractions 4 Are the fractions in each pair equivalent? Ww Pt Qe Yy Qw Tq Qw Rr Qw Tt A. $g, D., $l B. #j, E. aos, #f F., $g Equivalent Fractions 5 A. A fraction is equivalent to!s. The numerator is a prime number. The denominator is a multiple of 7. What is the fraction? B. A fraction is equivalent to %j. The denominator is 0 more than the numerator. What is the fraction? 5

$Fractions Simplest Form 7 6 Fractions Simplest Form Simplest Form Is each fraction in simplest form? Write yes or no. Qe Rt Qw It A. #k D. ats B. $h E. C. aog F.$ $What fraction of the balloons is red? B. Janet had $36. She spent $2 on school supplies and $ on magazines. What fraction of her money did she spend?$

10 Fractions Simplest Form 7 6 Fractions Simplest Form Simplest Form Is each fraction in simplest form? Write yes or no. Qe Rt Qw It A. #k D. ats B. $h E. C. aog F. Simplest Form 2 Write each fraction in simplest form. Qw Iq A. ay; D. aeg B. #l E. aos C. arh F. Simplest Form 3 Circle the fraction in each group that is not in simplest form A.!k #k $k %k D. aqs aes ats aus $l ^l *l E. awg arg atg aug C. ae; at; au; ao; F. aek atk auk Qq Qi Simplest Form 4 Write the answers in simplest form. A. There are 20 balloons. Eight balloons are red. What fraction of the balloons is red? B. Janet had $36. She spent $2 on school supplies and $ on magazines. What fraction of her money did she spend? Simplest Form 5 Write the answers in simplest form. Number Number of Boys of Girls Room 3 Room A. What fraction of the total number of students are boys? B. What fraction of the total number of students are girls? 6

$Fractions Improper Fractions & Mixed Numbers Fractions Improper Fractions & Mixed Numbers 7 6 Improper Fractions & Mixed Numbers Write a mixed number and an improper fraction that each tells what$

11 Fractions Improper Fractions & Mixed Numbers Fractions Improper Fractions & Mixed Numbers 7 6 Improper Fractions & Mixed Numbers Write a mixed number and an improper fraction that each tells what part is shaded. A., B., C., D., Improper Fractions & Mixed Numbers 2 Write the mixed numbers as improper fractions. Improper Fractions & Mixed Numbers 3 Write the improper fractions as mixed numbers or whole numbers. A. 2$g = D. 3@l = B. 3!k = E. 2%h = C. 4aU; = F. 6#g = A. AwG = D. SyG = B. (d = E. SiL = C. AuK = F. Sr: = Improper Fractions & Mixed Numbers 4 Write the missing fractions from the number line )s!s A B $s C ^s D E A. B. C. D. E. Improper Fractions & Mixed Numbers 5 A. Lori needs!s yard of fabric to make a teddy bear. How many yards of fabric will she need to make 9 teddy bears? B. Evan needs #f cup of flour to make batch of brownies. How many cups of flour does he need to make 5 batches of brownies? 7

$Fractions Using Fractions to Show Division 7 6 Fractions Using Fractions to Show Division Using Fractions to Show Division A. Circle the fraction that stands for 0 2. aw; Aw: Qq Pp @s B.$

12 Fractions Using Fractions to Show Division 7 6 Fractions Using Fractions to Show Division Using Fractions to Show Division A. Circle the fraction that stands for 0 2. aw; Aw: Qq B. Circle the fraction that stands for 4 2. ArS ars $f Qq Ww C. Circle the fraction that stands for divided by 5. *k %k %g *g Using Fractions to Show Division 3 Write each division problem as a fraction. A. 6 D. 3 9 B. 4 7 E. 4 7 C. 5 6 F Using Fractions to Show Division 2 Divide to change each improper fraction into a whole number. A. AyS = D. Sw: = B. AeG = E. AyK = C. ArH = F. SeF = Using Fractions to Show Division 4 Write each division problem in three ways. Use two division symbols and one fraction bar. A. 2 divided by 9 B. 2 divided by 25 Using Fractions to Show Division 5 Write the answer to each division problem as a mixed number. Use simplest form. Example: 6 6 = 2R4 = 2$h = 2@d A C B D. 50

Fractions Adding & Subtracting With Like Denominators 7Fractions Adding 6 & Subtracting With Like Denominators Adding & Subtracting With Like Denominators A. @h + #h = D. au; ar; = B. &l +!l = E.

13 Fractions Adding & Subtracting With Like Denominators 7Fractions Adding 6 & Subtracting With Like Denominators Adding & Subtracting With Like Denominators + #h = D. au; ar; = B. &l +!l = E. Qw Pp so; = C. ais + aes = F. Qw Tr sif = Adding & Subtracting With Like Denominators 2 Write the missing numbers. A. 5 + aeg = Qq Qt C. aoh + 6 = B. 4 ayf = auf D. qq Ti = auk Adding & Subtracting With Like Denominators 3 Write the missing numbers. A. 0 + ae; + ae; = 0 = $g B. auk + = Qq Ri = 7 C. Qw Ir 24 stf = 24 =!d 3 2 Adding & Subtracting With Like Denominators 4 A. Lisa cut a pizza into 2 equal slices. She ate 2 slices. Mark ate more slice than Lisa. What fraction of the pizza was eaten? B. Kelly bought yard of fabric. She bought #k yard more fabric than Shannon. How many yards of fabric did Shannon buy? Adding & Subtracting With Like Denominators 5 Write the answers in simplest form. +!h = D. Qq Qw aws = B. %l +!l = E. aq; + aq; = C. = F. Qw Yp Qw Pp = 9

Fractions Least Common Multiple & Greatest Common Factor 7Fractions Least 6 Common Multiple & Greatest Common Factor Least Common Multiple & Greatest Common Factor Write the first three multiples of

24,, Least Common Multiple & Greatest Common Factor 3 Write the greatest common factor (GCF). A., 27 D. 25, 75 B. 24, 36 E. 32, 40 C. 45, 60 F.

14 Fractions Least Common Multiple & Greatest Common Factor 7Fractions Least 6 Common Multiple & Greatest Common Factor Least Common Multiple & Greatest Common Factor Write the first three multiples of each number. A. 9,, B. 2,, C. 5,, Least Common Multiple & Greatest Common Factor 2 Write the least common multiple (LCM). A., 2 D. 2, B. 9, 27 E. 24, 72 C. 0, 25 F., 27 D. 24,, Least Common Multiple & Greatest Common Factor 3 Write the greatest common factor (GCF). A., 27 D. 25, 75 B. 24, 36 E. 32, 40 C. 45, 60 F. 4, 64 Least Common Multiple & Greatest Common Factor 4 Find the GCF and LCM of each set of numbers. A. 6, 9, 2 GCF LCM B., 0, 24 GCF LCM C. 2, 30, GCF LCM Least Common Multiple & Greatest Common Factor 5 A. The GCF of an odd number and an even number is 3. The greater number is 39. What is the lesser number? B. The LCM of two numbers is 24. The GCF is 4. One number is 4 more than the other. What are the numbers? C. The LCM of two numbers is 75. The GCF is 5. The sum of the numbers is 40. What are the numbers? D. The LCM of two numbers is 60. The sum of the numbers is 50. What are the numbers? GCF LCM 0

15 Answer Keys 7 6 Answer Keys Identifying Fractional Parts (p. 2) A. %l B. #h or!s C. $h Identifying Fractional Parts 2 (p. 2) A.!j B. aus C. ^h Identifying Fractional Parts 3 (p. 2) B. #g C. ay; D. %h E. $l F. #d Identifying Fractional Parts 4 (p. 2) A. ats B. ae; C. &l Identifying Fractional Parts 5 (p. 2) #f, ^k The square can be described as being divided into four equal parts or eight equal parts. Comparing Fractions (p. 3) A. > B. < C. > D. > E. < F. > Comparing Fractions 2 (p. 3) A. Lee; Tracy B. red beads Comparing Fractions 3 (p. 3) A.!k, #k, %k, &k B.!l,!j,!d,!s C. ae;, #j, #g, #f D. ays, ay;, ^k, ^h Comparing Fractions 4 (p. 3) A. > B. < C. = D. > E. = Comparing Fractions 5 (p. 3) A.!d C. $g Fractional Parts of a Number (p. 4) A. 5 B. 5 C. 4 D. 7 E. 2 F. Fractional Parts of a Number 2 (p. 4) A. 7 B. 5 Fractional Parts of a Number 3 (p. 4) Four-fifths of 60 is four times more than one-fifth of 60. To find $g of 60, multiply 2 by 4. Fractional Parts of a Number 4 (p. 4) A. 2 B. 9 C. D. 5 Fractional Parts of a Number 5 (p. 4) A. 36 B. 6 C. 24 Equivalent Fractions (p. 5) A. #l B. ay; C. Qw Wq D. st; E. Qw Pt F. We Pw Equivalent Fractions 2 (p. 5) A. Examples: #h, $k, at; Accept reasonable answers. Example: The denominator is twice the numerator. B. Examples: aw;, aeg, sr; Accept reasonable answers. Example: The denominator divided by the numerator equals 5. Equivalent Fractions 3 (p. 5) C.!d, #l D. #f, aos Equivalent Fractions 4 (p. 5) A. yes B. no C. no D. yes E. yes F. no Equivalent Fractions 5 (p. 5) A. auf B. We Tt Simplest Form (p. 6) A. yes B. no C. no D. yes E. no F. yes Simplest Form 2 (p. 6) A. #g B.!d C.!f D.!g E. #f F. ^j Simplest Form 3 (p. 6) A. $k B. ^l C. at; D. aes E. atg F. aek Simplest Form 4 (p. 6) B. %l Simplest Form 5 (p. 6) A. ats B. aus Improper Fractions & Mixed Numbers (p. 7) A.!s, #s B. 3#f, ArG C. 2!d, &d D. 4@g, StS Improper Fractions & Mixed Numbers 2 (p. 7) A. AtF B. SiG C. Rq Up D. SoL E. QhU F. DtD 40

16 Answer Keys Improper Fractions & Mixed Numbers 3 (p. 7) A. 7!s B. 3 C. 2$j D. 4!h E. 3%k F. 5 Improper Fractions & Mixed Numbers 4 (p. 7) B. #s C. %s D. &s E. *s Improper Fractions & Mixed Numbers 5 (p. 7) A. (s or 4!s yards B. ArG or 3#f cups Using Fractions to Show Division (p. ) A. Aw: B. ArS C. *g Using Fractions to Show Division 2 (p. ) A. 2 B. 5 C. 4 D. 0 E. 3 F. Using Fractions to Show Division 3 (p. ) A. AiH B. QjR C. AyG D. #l E. $j F. Qw Wt Using Fractions to Show Division 4 (p. ) A. 2 9 ; 9 2; SoA B ; 25 2; Qw Wt Using Fractions to Show Division 5 (p. ) A. 6@d B.!s C. 3!d D. 6!f Adding & Subtracting With Like Denominators (p. 9) A. %h B. *l C. Qq Qw D. ae; E. sq; F. suf Adding & Subtracting With Like Denominators 2 (p. 9) A. aig B. Qq Er C. auh D. aik Adding & Subtracting With Like Denominators 3 (p. 9) A. aw; + ae; + ae; = ai; = $g B. auk + auk = Qq Ri = &l C. Qw Ir stf stf = sif =!d Adding & Subtracting With Like Denominators 4 (p. 9) A. ats B. %k yard Adding & Subtracting With Like Denominators 5 (p. 9) A.!s C.!f D. #f E.!g F. ae; Least Common Multiple & Greatest Common Factor (p. 0) A. 9,, 27 B. 2, 24, 36 C. 5, 30, 45 D. 24, 4, 72 Least Common Multiple & Greatest Common Factor 2 (p. 0) A. 24 B. 27 C. 50 D. 36 E. 72 F. 54 Least Common Multiple & Greatest Common Factor 3 (p. 0) A. 9 B. 2 C. 5 D. 25 E. F. 6 Least Common Multiple & Greatest Common Factor 4 (p. 0) A. GCF 3, LCM 36 B. GCF 2, LCM 20 C. GCF 6, LCM 0 Least Common Multiple & Greatest Common Factor 5 (p. 0) A. 26 B., 2 C. 5, 25 D. 20, 30 Adding Fractions With Unlike Denominators (p. ) A. sua + soa = Qw Yq B. ai; + aq; = ao; C. aek + aik = Qq Qi D. sof + Qw Rr = Ww Er Adding Fractions With Unlike Denominators 2 (p. ) A. %k = &k + #h = %h Adding Fractions With Unlike Denominators 3 (p. ) A.!f + aq; = st; + sw; = su; B.!s + sq; = Qw Pp + sq; = Qw Qp Adding Fractions With Unlike Denominators 4 (p. ) A.!k = #k B. ar; + ar; = ai; = $g C. sif + Qw Wr = Ww Pr = %h D. ayk + aok = Qq Ti = %h Qq Ty Qy Tp Wy Pp Wy Rp Ty Op Adding Fractions With Unlike Denominators 5 (p. ) A. aih + ayh + aqh = B. + + = C. arsp; + aqst; + aqsw; = aysu; We Qp Qe Pp Qe Qp Ww Pr Qw Ur Ty Tp Ry Ip Subtracting Fractions With Unlike Denominators (p. 2) A. = B. sef = C. = hu; Subtracting Fractions With Unlike Denominators 2 (p. 2) A. ai; aq; = au; B. Er Tp Qr Yp = Qr Op C. Qq Ti aek = Qq Wi D. Er Pi fik = Wr Wi = Qw Qr 4

+ 4 ~ You divided 24 by 6 which equals x = 41. 5th Grade Math Notes. Hint: Zero can NEVER be a denominator.

+ 4 ~ You divided 24 by 6 which equals x = 41. 5th Grade Math Notes. **Hint: Zero can NEVER be a denominator.** Basic Fraction numerator - (the # of pieces shaded or unshaded) denominator - (the total number of pieces) 5th Grade Math Notes Mixed Numbers and Improper Fractions When converting a mixed number into