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Daily Skill Builders: Fractions & Decimals

ii© Mark Twain Media, Inc., Publishers

Table of Contents

Table of Contents

Introduction to the Teacher ........................................ivNCTM Standards Matrix for Grades 3–8 ................... 1

Activity # Skill1. Parts of a Whole .............................................. 32. Parts of a Whole .............................................. 33. Parts of a Whole .............................................. 44. Parts of a Whole .............................................. 45. Parts of a Group .............................................. 56. Parts of a Group .............................................. 57. Parts of a Group/Use a Table ........................... 68. Fractional Parts of a Whole and a Group ......... 69. Fraction Words ................................................. 7

10. Fraction Words ................................................. 711. Review ............................................................. 812. Review ............................................................. 813. Review ............................................................. 914. Review ............................................................. 915. Everyday Math With Fractions ....................... 1016. Everyday Math With Fractions ....................... 1017. Estimate With Fractions ................................. 1118. Estimate With Fractions ................................. 1119. Compare and Order Fractions With Common

Denominators ................................................ 1220. Compare and Order Fractions With Common

Denominators ................................................ 1221. Add Fractions With Common Denominators .. 1322. Add Fractions With Common Denominators .. 1323. Subtract Fractions With Common

Denominators ................................................ 1424. Subtract Fractions With Common

Denominators ................................................ 1425. Add and Subtract Fractions With Common

Denominators ................................................ 1526. Review ........................................................... 1527. Measurement With Fractions ......................... 1628. Measurement With Fractions ......................... 1629. Round Fractions ............................................. 1730. Estimate ......................................................... 1731. Mixed Numbers .............................................. 1832. Mixed Numbers With a Table ........................ 1833. Improper Fractions to Mixed Numbers and

Whole Numbers ............................................. 1934. Improper Fractions to Mixed Numbers and

Whole Numbers ............................................. 1935. Mixed Numbers and Whole Numbers to

Improper Fractions ......................................... 2036. Mixed Numbers and Whole Numbers to

Improper Fractions ......................................... 2037. Review ........................................................... 21

38. Review ........................................................... 21 39. Add Mixed Numbers With Common Denominators ................................................ 22 40. Subtract Mixed Numbers With Common Denominators ................................................ 22 41. Compare Fractions Using Fraction Strips ...... 23 42. Compare Fractions Using Fraction Strips ...... 23 43. Compare and Order Fractions Using Fraction Strips ................................................ 24 44. Compare and Order Fractions Using Fraction Strips ................................................ 24 45. Compare and Order Fractions ....................... 25 46. Compare and Order Mixed Numbers Using Fraction Strips ................................................ 25 47. Equivalent Fractions....................................... 26 48. Equivalent Fractions....................................... 26 49. Equivalent Fractions....................................... 27 50. Equivalent Fractions....................................... 27 51. Create a Table/Use Data From a Table .......... 28 52. Create a Table/Use Data From a Table .......... 28 53. Review ........................................................... 29 54. Review ........................................................... 29 55. Greatest Common Factors ............................. 30 56. Greatest Common Factors ............................. 30 57. Simplify Fractions ........................................... 31 58. Simplify Fractions ........................................... 31 59. Fraction Patterns ............................................ 32 60. Probability With Fractions .............................. 32 61. Compare Fractions Without Common Denominators ................................................ 33 62. Compare Fractions Without Common Denominators ................................................ 33 63. Least Common Multiple ................................. 34 64. Least Common Multiple ................................. 34 65. Equivalent Fractions....................................... 35 66. Equivalent Fractions....................................... 35 67. Fraction Analogies ......................................... 36 68. Classify Fractions ........................................... 36 69. Add Fractions Without Common Denominators ................................................ 37 70. Add Fractions Without Common Denominators ................................................ 37 71. Subtract Fractions Without Common Denominators ................................................ 38 72. Subtract Fractions Without Common Denominators ................................................ 38 73. Multiply Fractions ........................................... 39 74. Multiply Fractions ........................................... 39 75. Multiply Mixed Numbers and Whole Numbers by Fractions.................................................... 40


iii© Mark Twain Media, Inc., Publishers

Table of Contents (cont.)

Table of Contents

76. Multiply Mixed Numbers and Whole Numbers by Fractions.................................................... 4077. Fraction Word Problems ................................. 4178. Fraction Word Problems ................................. 4179. Review ........................................................... 4280. Review ........................................................... 4281. Divide Fractions ............................................. 4382. Divide Fractions by Fractions ......................... 4383. Divide Fractions and Whole Numbers ............ 4484. Divide Fractions and Whole Numbers ............ 4485. Divide Mixed Numbers ................................... 4586. Divide Mixed Numbers ................................... 4587. Review ........................................................... 4688. Review ........................................................... 4689. Create a Pie Chart ......................................... 4790. Fractions on a Pie Chart ................................ 4791. Measurement With Fractions ......................... 4892. Measurement With Fractions ......................... 4893. Fractions With a Bar Graph ............................ 4994. Fraction Algebra ............................................. 4995. Fraction Test ................................................... 5096. Fraction Test ................................................... 5097. Fraction Test ................................................... 5198. Fraction Test ................................................... 5199. Decimals and Monetary Notation ................... 52

100. Decimals and Monetary Notation ................... 52101. Place Value of Decimals ................................ 53102. Place Value of Decimals ................................ 53103. Decimals on a Grid ........................................ 54104. Decimals and Fractions ................................. 54105. Compare Decimals ........................................ 55106. Compare Decimals ........................................ 55107. Compare Decimals and Fractions .................. 56108. Compare Decimals and Fractions .................. 56109. Round Decimals ............................................ 57110. Round Decimals ............................................ 57111. Classify Decimals .......................................... 58112. Decimals and Zeros ....................................... 58113. Add Decimals ................................................. 59114. Decimal Patterns ........................................... 59115. Subtract Decimals .......................................... 60116. Subtract Decimals .......................................... 60117. Decimal Story Problems ................................ 61118. Write-Your-Own Decimal Story Problems ...... 61119. Review ........................................................... 62120. Review ........................................................... 62121. Review ........................................................... 63122. Review ........................................................... 63123. Add Whole Numbers and Decimals ............... 64124. Add Whole Numbers and Decimals ............... 64

125. Subtract Decimals and Whole Numbers ........ 65126. Subtract Decimals and Whole Numbers ........ 65127. Multiply Decimals by Whole Numbers ........... 66128. Multiply Decimals by Whole Numbers ........... 66129. Multiply Decimals by Decimals ...................... 67130. Multiply Decimals by Decimals ...................... 67131. Decimal Word Problems ................................ 68132. Everyday Decimals ........................................ 68133. Fractions to Decimals .................................... 69134. Fractions to Decimals .................................... 69135. Mixed Numbers to Decimals .......................... 70136. Mixed Numbers to Decimals .......................... 70137. Fraction/Decimal Equivalents......................... 71138. Fraction/Decimal Equivalents......................... 71139. Review ........................................................... 72140. Review ........................................................... 72141. Divide a Decimal by a Whole Number ........... 73142. Divide a Decimal by a Whole Number ........... 73143. Divide a Decimal by a Decimal ...................... 74144. Divide a Decimal by a Decimal ...................... 74145. Decimals and Measurement .......................... 75146. Decimal Division Word Problems ................... 75147. Review ........................................................... 76148. Review ........................................................... 76149. Decimal Test .................................................. 77150. Decimal Test .................................................. 77151. Decimal Test .................................................. 78152. Decimal Test .................................................. 78

Fraction Strips ......................................................... 79Answer Key .............................................................. 80


iv© Mark Twain Media, Inc., Publishers

Introduction to the Teacher

Introduction to the Teacher

This edition of Daily Skill Builders is a powerful tool that will help you equip your studentswith a variety of important skills relating to fractions and decimals. Each half-page reproduc-ible activity targets a specific skill, as shown in the Table of Contents. Tied to NCTM standards,these activities provide practice in basic calculations involving fractions and decimals.

The activities in this book will give your students daily practice with a variety of essentialmath skills. They are arranged so that each activity builds on the skills covered in the previousactivities.You may use them in order, or use any section you need to reinforce your curriculum.Use the standards-correlation chart in the beginning of the book to locate problems on a spe-cific skill.

When they complete the activities, students will be mastering skills such as addingand subtracting fractions with common denominators, mixed numbers, and without commondenominators; multiplying and dividing fractions, mixed numbers, and improper fractions;comparing fractions and decimals; adding and subtracting whole numbers with decimals, andmultiplying and dividing whole numbers with decimals.

We hope you and your students find these exercises both useful and engaging. Fractionsand decimals are an integral part of performing higher math skills and achieving higher testscores. These Daily Skill Builders are designed to help your students hone their math skills torazor sharpness.

In short, use these Daily Skill Builders any and every way you can to make the most of allthe tools packed inside. Expect your students’ fraction and decimal skills to grow throughout theyear!

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3© Mark Twain Media, Inc., Publishers

Parts of a Whole

ACTIVITY 1 Parts of a Whole

A fraction names equal parts of a whole.

1 of 2 equal parts of this circle is shaded.

One-half of this circle is shaded.

!s of this circle is shaded.

3 of 8 equal parts of this square are shaded.

Three-eighths of this square is shaded.

1. Write the fraction for the part of the square that is shaded.

2 of 3 parts of this triangle are shaded.

The shaded part is not @d of the triangle.

2. Why not?

3. What fraction of this rectangle is shaded?


Fractions are made up of two numbers. The top number is the numerator. It tells how many parts are being discussed. The bottom number is the denominator. It tells the number of equal parts all together. To help you remember, make up a two-word phrase, such as “Nothing Doing” or “Nine Donuts.” The first word should begin with an “n.” The second word should begin with a “d.” When you want to remember which number is on top, think of your phrase.

1. is the numerator. It tells how many parts of the circle are shaded.

2. is the denominator. It tells the total number of equal parts in the circle.

Write the fractions to show the number of shaded parts for each shape.

3. 4. 5. 6.

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1. Draw lines to show three different ways to divide the squares into halves.

2. Draw lines to show two different ways to divide the rectangles into sixths.

3. Color one-sixth of the first rectangle above red. Shade three-sixths of this rectangle gray.

4. Color two-sixths of the second rectangle above red. Shade two-sixths of this rectangle gray.


Draw a picture or diagram to show each fractional amount.

1. !s of a pie 2. !d of a glass of juice 3. !f of a cookie

4. !s of an apple 5. #f of a sandwich 6. @d of a bottle of water

7. How many !h pieces of pie are in a whole pie?

Parts of a Whole

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ACTIVITY 5 Parts of a Group

One of five balls in the group is striped.

One-fifth of the balls are striped.

!g = the number of balls with stripes

1. In the fraction, 1 is the . It tells the number of balls with stripes in

the group.

2. In the fraction, 5 is the . It tells the total number of balls in the

group.

3. How many triangles in this group are white?

4. What fraction of the triangles are white?

In a group of 11 children, 5 are girls and 6 are boys.

5. What fraction of the group are boys?

6. What fraction of the group are girls?

ACTIVITY 6 Parts of a Group

1. How many students are in your class?

2. What fraction of the class are girls?

3. What fraction of the class are boys?

Ms. Mason planted 18 tulip bulbs. !d were white. The rest were red.

4. How many are white?

5. What fraction are red?

Parts of a Group

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ACTIVITY 7 Parts of a Group/Use a Table

Use the table to answer the questions.

1. How many students were in the group of top

readers at Jefferson School?

2. What fraction of the group read more than 10

books?

3. What fraction of the group read between 8 and

14 books?

4. What fraction of the group read fewer than 9

books?

5. How many books did the group read all together?

6. What fraction of the total number of books did Larry read?

7. What fraction of the total number of books did Mary and Sherry read?

ACTIVITY 8 Fractional Parts of a Whole and a Group

Write fractions for each shape.

1. Shaded part of the circle =

2. Part of the circle not shaded =

3. Shaded part of the triangle =

4. Part of the triangle not shaded =

5. Draw a shape. Color #g of it.

6. Draw a group of objects. Circle @d of the objects.

Parts of a Group/Use a Table/Parts of a Whole and a Group

Top Readers at Jefferson School

Name Books Read in January

Mary

Terry

Sherry

Larry

Jerry

Barry

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ACTIVITY 9 Fraction Words

Fractions can be written in numbers or words. Whenfractions are written in words, the words are joined by a hyphen.

Example: !s = one-half

Write the words for each fraction.

1. #f 2. @j

3. &l 4. aE;

5. @h 6. aIa

Write the fraction for the fraction words.

7. eleven-twentieths 8. four-hundredths

9. six-eighteenths 10. nine-thirty-seconds

ACTIVITY 10 Fraction Words

Write the number for the numerator of each fraction.

1. eleven-sixteenths

2. six-twelfths

Write the number for the denominator of each fraction.

3. seven-thirteenths

4. nineteen-twentieths

Write the fraction for the fraction words.

5. nine-elevenths

6. one-ninth

Fraction Words

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ACTIVITY 11 Review

1. Draw a shape. Color &k of it.

Write the fraction for the shaded portion of each shape.

2. 3. 4.

Write fractions equal to one using the denominator given.

5. 7 = 1 6.

14 = 1 7.

9 = 1 8.

100 = 1

ACTIVITY 12 Review

1. Draw a group of objects. Color aYg of the objects.

2. Fraction of the stars that are shaded =

Fraction of the stars that are not shaded =

3. A regular deck of playing cards contains 52 cards. If the dealer gives out five cards each

to three players, what fraction of the cards have been dealt?

4. If 35 students sit on a bus that can hold 48 students, what fraction of the seats are full?

5. If you flip a coin, what fraction describes the chances of it landing on heads?

Review



Activity 1: Parts of a Whole (p. 3)

1. #k

2. The shaded part is not @d of the triangle because the triangle is not divided into equal parts.

3. %h


1. 3 2. 4 3. @f

4. aR; 5. @d 6. aUs

Activity 3: Parts of a Whole (p. 4) 1.

or

2.

3. !h should be red, and #h should be gray.

4. @h should be red, and @h should be gray.


1. Image should show !s of a pie.

2. Image should show !d of a glass of juice.

3. Image should show !f of a cookie.

4. Image should show !s of an apple.

5. Image should show #f of a sandwich.

6. Image should show @d of a bottle of water.

7. 6

Acitivity 5: Parts of a Group (p. 5) 1. numerator 2. denominator

3. 3 4. #j

5. aYa 6. aTa

Activity 6: Parts of a Group (p. 5) 1.–3. Answers will vary.

4. 6 5. Qq Wi

Activity 7: Parts of a Group/Use a Table (p. 6)

1. 6 2. @h 3. $h

4. #h 5. 55 6. gIg

7. Qt Yt

Activity 8: Fractional Parts of a Whole and a Group (p. 6)

1. %k 2. #k 3. #f

4. !f 5.–6. Answers will vary.

Activity 9: Fraction Words (p. 7) 1. three-fourths 2. two-sevenths 3. seven-ninths 4. three-tenths 5. two-sixths 6. eight-elevenths

7. Qw Qp 8. q Rp p

9. aYk 10. dOs

Activity 10: Fraction Words (p. 7) 1. 11 2. 6 3. 13

4. 20 5. aOa 6. !l

Activity 11: Review (p. 8) 1. Answer should show a shape divided into 8 equal parts with 7 parts colored.

2. %g 3. &k 4. @h

5. &j 6. Qq Rr 7. (l

8. Qq Pp Pp

Activity 12: Review (p. 8) 1. Answer should show a group of 15 objects with 6 of the objects colored.

2. aIj , aOj 3. Qt Tw

4. Er Ti 5. !s

Answer Keys

Answer Keys

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