Contents About This Book . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Meeting the Common Core State Standards for Mathematics. . . . . . . . . . . . . . . . . . . . 5 Fractions Riddle 1 Riddle 2 Riddle 3 Riddle 4 Riddle 5 Riddle 6 Riddle 7 Riddle 8 Riddle 9 Riddle 10 Riddle 11 Riddle 12 Riddle 13 Riddle 14 Riddle 15 Riddle 16 Riddle 17 Riddle 18 Riddle 19 Riddle 20 Riddle 21 Riddle 22 Riddle 23 Riddle 24 Riddle 25 Riddle 26 Identify Fractions . . . . . . . . . . . . . . . . 6 Decompose Fractions . . . . . . . . . . . . . 7 Equivalent Fractions . . . . . . . . . . . . . . 8 Equivalent Fractions . . . . . . . . . . . . . . 9 Compare Fractions . . . . . . . . . . . . . . 10 Compare Fractions Using Symbols >, <, = . . . . . . . . . . . . . . . . . 11 Identify Fractions & Rename in Lowest Terms . . . . . . . . . . . . . . . . 12 Rename Fractions in Lowest Terms . . 13 Word Problems: Fractions . . . . . . . . 14 Word Problems: Fractions . . . . . . . . 15 Rename Mixed & Whole Numbers as Improper Fractions . . . . 16 Rename Improper Fractions as Mixed & Whole Numbers . . . . . . 17 Add Fractions With Like Denominators . . . . . . . . . . . . . . . . . . 18 Add Fractions With Like Denominators . . . . . . . . . . . . . . . . . . 19 Add Fractions With Unlike Denominators . . . . . . . . . . . . . . . . . . 20 Add Fractions With Unlike Denominators . . . . . . . . . . . . . . . . . . 21 Compare Mixed Numbers . . . . . . . . 22 Compare Mixed Numbers Using Symbols >, <, = . . . . . . . . . . . . 23 Add Mixed Numbers With Like & Unlike Denominators . . . . . . 24 Subtract Fractions With Like Denominators . . . . . . . . . . . . . . 25 Subtract Fractions With Like Denominators . . . . . . . . . . . . . . 26 Subtract Fractions With Unlike Denominators . . . . . . . . . . . . . . . . . . 27 Subtract Fractions With Unlike Denominators . . . . . . . . . . . . . . . . . . 28 Subtract Mixed Numbers With Like & Unlike Denominators . . . . . . 29 Whole Numbers x Fractions . . . . . . . 30 Fractions x Fractions . . . . . . . . . . . . 31 Riddle 27 Riddle 28 Riddle 29 Riddle 30 Mixed Numbers x Whole Numbers . Whole Numbers ÷ Fractions . . . . . . . Fractions ÷ Fractions . . . . . . . . . . . . Mixed Numbers ÷ Whole Numbers . 32 33 34 35 Decimals Riddle 31 Riddle 32 Riddle 33 Riddle 34 Riddle 35 Riddle 36 Riddle 37 Riddle 38 Riddle 39 Riddle 40 Riddle 41 Riddle 42 Riddle 43 Riddle 44 Riddle 45 Riddle 46 Riddle 47 Riddle 48 Riddle 49 Decimal Place Values to Hundredths . . . . . . . . . . . . . . . . . Decimal Place Values to Thousandths . . . . . . . . . . . . . . . . Compare Decimals . . . . . . . . . . . . . . Rename Fractions as Decimals: Tenths . . . . . . . . . . . . . . . . . . . . . . . Rename Fractions as Decimals: Tenths & Hundredths . . . . . . . . . . . . Rename Fractions as Decimals: Tenths, Hundredths & Thousandths . . . . . . . . . . . . . . . . Rename Mixed Numbers as Decimals . . . . . . . . . . . . . . . . . . . . . . Round to Ones & Tenths . . . . . . . . . Round to Tenths & Hundredths . . . . Add Decimals . . . . . . . . . . . . . . . . . . Add Decimals: Money . . . . . . . . . . . Subtract Decimals . . . . . . . . . . . . . . . Subtract Decimals: Money . . . . . . . . Word Problems: Money . . . . . . . . . . Word Problems: Money . . . . . . . . . . Whole Numbers x Decimals . . . . . . . Decimals x Decimals . . . . . . . . . . . . . Decimals ÷ Whole Numbers . . . . . . . Decimals ÷ Decimals . . . . . . . . . . . . 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 Percents Riddle 50 Rename Fractions as Percents . . . . . . Riddle 51 Rename Decimals as Percents . . . . . . Riddle 52 Rename Fractions & Decimals as Percents . . . . . . . . . . . . . . . . . . . . Riddle 53 50% of Dollar Amounts . . . . . . . . . . Riddle 54 Percentages of $10.00 . . . . . . . . . . . . Riddle 55 Word Problems: Percents . . . . . . . . . Riddle 56 Word Problems: Percents . . . . . . . . . Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Solve-the-Riddle Math Practice: Fractions & Decimals © 2012 by Liane B. Onish. Scholastic Teaching Resources 55 56 57 58 59 60 61 62 About This Book R esearch shows that to master key math skills, students need plenty of sustained practice. Understanding fractions, decimals, and percents, and the relationships among them, is an essential foundation skill for success in math and in life. The silly riddles on the activity pages in this book will motivate students to complete the math problems and get this needed practice. Each answer is keyed to a letter. Located below the math problems is the solution to the riddle. Students write the letter that corresponds to each numerical answer to spell out the solution to the riddle. Voila! Math practiced, riddle solved! Meeting the Math Standards The Common Core State Standards Initiative (CCSSI) has outlined learning expectations in mathematics for students at different grade levels. The activities in this book align with the Numbers and Operations standard for students in grades 3 through 5. See the chart on page 5, for more information. For an overview of specific math skills covered in this book, see the Contents page. (These math skills are also listed at the top of each activity sheet.) Use your students’ different ability levels as a guide when assigning the practice pages. Introducing the Activities Read the riddle and math directions with students. Point out the letter below or next to each answer’s write-on line. Explain that the answers have the letters they will use to solve the riddle. After they complete the math (they can do their work on scrap paper, if needed), direct students to the bottom of the page. Have them read the number under the solution’s first write-on line, then find that number in their math answers. Instruct them to write the letter that goes with that number answer on the line. When all of the letters have been filled in, invite students to reread the riddle and then the solution. Discuss the word play in the riddles, which relies mostly on multiple meaning and puns. Rename Fraction s in Lowest Terms Name: Riddle 8 Date: What do you cal la dogcatcher? Rename the fracti ons in lowest terms. Solve the riddle using your answ ers below. 3 9 = 15 = 18 S 15 = 20 R 14 = 21 V 14 = 16 O 6 = 10 E 4 = 36 L 14 = 18 T 21 = 30 B 3 = 24 C 4 16 M = 10 = 14 P A Solve the Riddle! 5 7 Solve-the-Riddle Math: Fractions 1 3 1 4 & Decimals © Write the letter that goes with each answer. 2 3 2011 by Liane 1 9 5 6 B. Onish. Scholastic 7 8 1 8 2 3 3 4 7 8 5 6 Teaching Resource s 13 Math Vocabulary Review math vocabulary related to fractions and decimals. A review of these math terms will be especially helpful to English language learners. Fractions: numerator, denominator, whole number, mixed number, improper fraction, equivalent fractions, rename in lowest terms Decimals: place value, tenths, hundredths, thousandths Symbols: equal to (=), greater than (>), less than (<), decimal point (.), dollars ($), percent (%) Round Up or Down to the next closest place value 4 Solve-the-Riddle Math Practice: Fractions & Decimals © 2012 by Liane B. Onish. Scholastic Teaching Resources Extra Practice Challenge Invite students to create their own fraction, decimal, or percent practice pages for their favorite riddles. Remind them that for an activity with twelve problems, the answer to the riddle can be no more than twelve different letters of the alphabet. Have students write a letter below the answer for each problem. Then have them check their work and write an answer key on a separate sheet of paper. Collect the student-made activity pages, check them, then mix them up, and distribute randomly. Meeting the Common Core State Standards for Mathematics The activities in this book will help you meet your specific state mathematics standards as well as those recommended by the CCSSI. These materials address the following Common Core State Standards for students in grades 3–5. For more information, go to the website of the CCSSI: www.corestandards.org. Number and Operations— Fractions Grade 3 Develop understanding of fractions as numbers. •3.NF.1 •3.NF.3a, 3b, 3c, 3d Grade 4 Extend understanding of fraction equivalence and ordering. •4.NF.1 •4.NF.2 Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. •4.NF.3a, 3b, 3c, 3d Understand decimal notation for fractions, and compare decimal fractions. •4.NF.5 •4.NF.6 •4.NF.7 Grade 5 Use equivalent fractions as a strategy to add and subtract fractions. •5.NF.1 •5.NF.2 Apply and extend previous understandings of multiplication and division to multiply and divide fractions. •5.NF.3 •5.NF.4 •5.NF.7 Number and Operations in Base Ten Grade 5 Understand the place value system. •5.NBT.1 •5.NBT.2 •5.NBT.3a, 3b •5.NBT.4 Perform operations with multi-digit whole numbers and with decimals to hundredths. •5.NBT.7 Solve-the-Riddle Math Practice: Fractions & Decimals © 2012 by Liane B. Onish. Scholastic Teaching Resources 5 Identify Fractions Name: Riddle 1 Date: What should you say to a blue heron? Name the fraction of each shape that is shaded. Solve the riddle using your answers below. = R = 6 H = K Solve the Riddle! N = W = E = M = U = C = 1 2 = P Write the letter that goes with each answer. 7 8 5 6 5 6 1 3 3 4 4 6 ! Solve-the-Riddle Math Practice: Fractions & Decimals © 2012 by Liane B. Onish. Scholastic Teaching Resources Decimal Place Values to Hundredths Riddle 31 Name: Date: What do you call matches that won’t light up? For each underlined number, circle the correct place value. Solve the riddle using your answers below. 7.95 3.50 N 5 hundredths C 5 tenths H 5 ones 6.12 I 0 hundredths K 0 tenths M 0 ones I 4 hundredths W 4 tenths Y 6.84 4 ones 1.29 V 1 hundredth D 6 hundredths T 9 hundredths R 1 tenth I 6 tenths B 9 tenths N 1 one O 6 ones R 9 ones 2.46 9.73 5.87 G 2 hundredths R 7 hundredths P 8 hundredths Q 2 tenths E 7 tenths K 8 tenths S 2 ones Z 7 ones D 8 ones Solve the Riddle! 6 ones 36 4.31 5 hundredths Write the letter that goes with each answer. 2 ones 9 hundredths 1 tenth 0 hundredths 8 tenths 7 tenths Solve-the-Riddle Math Practice: Fractions & Decimals © 2012 by Liane B. Onish. Scholastic Teaching Resources Rename Fractions as Percents Riddle 50 Name: Date: What did the doctor tell the little monster? Name the fraction that is shaded. Then rename the fraction as a percent. Solve the riddle using your answers below. Solve the Riddle! 50% 1 10 30% Fraction Percent T Y S U E R O A N M G D Write the letter that goes with each answer. 9 10 70% 30% 7 10 – 3 10 Solve-the-Riddle Math Practice: Fractions & Decimals © 2012 by Liane B. Onish. Scholastic Teaching Resources 1 10 60% 7 10 ! 55
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