Comparing and Ordering Fractions - Everyday Math

1 5 Fractions , Decimals, and PercentsAdvance PreparationFor Part 1, make a transparency of the chart on Math Masters, page 137. For the optional Readiness activity in Part 3, each student will need 6 strips of colored paper, each 2" by 8 1 _ 2 ". These can be prepared ahead of time or during the s Reference Manual, Grades 4 6 pp. 38, 44, 45, 60 74, 88, 89 Key Concepts and Skills Find equivalent Fractions using a length model. [Number and Numeration Goal 5] compare Fractions to the benchmarks 0, 1 _ 2 , and 1. [Number and Numeration Goal 6] order Fractions from least to greatest. [Number and Numeration Goal 6] Solve fraction number stories using a number-line model.

2 [Operations and Computation Goal 4] Use fraction sticks to add Fractions . [Operations and Computation Goal 4]Key ActivitiesStudents use the Fraction-Stick Chart to find equivalent Fractions and compare Fractions to the benchmarks 0, 1 _ 2 , 1, and 1 1 _ 2 . They use the fraction-stick model to compare pairs of Fractions , find equivalent Fractions , and continue their exploration of fraction addition. Ongoing Assessment: Recognizing Student Achievement Use journal page 129. [Number and Numeration Goal 6]Ongoing Assessment: Informing Instruction See page Vocabularybenchmark fraction stick equivalent fractionsMaterialsMath Journal 1, pp.

3 129 132 Study Link 5 2transparency of Math Masters, p. 137 slate Geometry Template straightedge (optional)Playing Fraction Top-ItStudent Reference Book, p. 316 Fraction Cards (Math Journal 2, Activity Sheets 5 7)Students practice Comparing Fractions by playing Fraction Boxes 5 3 Math Journal 1, p. 133 Students practice and maintain skillsthrough Math Box Link 5 3 Math Masters, p. 131 Students practice and maintain skillsthrough Study Link Fraction Strips6 strips of colored paper, each 2" by 8 1 _ 2 "Students use a length model to explore Comparing and Ordering Fractions by making fraction a Fraction-Stick ChartMath Masters, p. 130 Students explore relationships between the numerators and denominators of equivalent SUPPORT Building a Math Word BankDifferentiation Handbook, p.

4 142 Students add the term equivalent Fractions to their Math Word the Les sonOngoing Learning & Practice1324 Differentiation OptionsComparing and Ordering FractionsObjectives To review equivalent Fractions ; and to provide experience with Comparing and Ordering eToolkitePresentationsInteractive Teacher s Lesson GuideAlgorithms PracticeEM FactsWorkshop Game AssessmentManagementFamily LettersCurriculumFocal PointsCommon Core State 3022/14/11 1:20 PM2/14/11 1:20 PMDate Time Math MessageDecide whether each of these measurements is closer to the benchmark 0, 1 _ 2 , or 1 inch. Circle the closest 1 _ 8 inch is closest to.

5 0 inches. 1 _ 2 inch. 1 15 _ 16 inch is closest to .. 0 inches. 1 _ 2 inch. 1 5 _ 8 inch is closest to .. 0 inches. 1 _ 2 inch. 1 3 _ 8 inch is closest to .. 0 inches. 1 _ 2 inch. 1 Explain your solution for Problem 4. Sample answer: I know that 3 _ 8 is only 1 _ 8 away from 4 _ 8 , which is 1 _ 2 . So 3 _ 8 must be closest to 1 _ 2 . Ordering FractionsFor each problem below, write the Fractions in order from least to greatest. 6. 6 _ 8 , 3 _ 8 , 5 _ 8 , 8 _ 8 3 _ 8 , 5 _ 8 , 6 _ 8 , 8 _ 8 7. 2 _ 7 , 2 _ 9 , 2 _ 5 , 2 _ 12 2 _ 12 , 2 _ 9 , 2 _ 7 , 2 _ 5 8.

6 2 _ 3 , 1 _ 4 , 1 _ 3 , 3 _ 4 1 _ 4 , 1 _ 3 , 2 _ 3 , 3 _ 4 9. 3 _ 5 , 4 _ 10 , 9 _ 20 , 1 _ 25 1 _ 25 , 4 _ 10 , 9 _ 20 , 3 _ 5 10. 3 _ 7 , 1 _ 10 , 7 _ 8 , 5 _ 7 1 _ 10 , 3 _ 7 , 5 _ 7 , 7 _ 8 11. 5 _ 9 , 2 _ 5 , 1 _ 6 , 9 _ 10 1 _ 6 , 2 _ 5 , 5 _ 9 , 9 _ 10 12. 4 _ 8 , 4 _ 7 , 3 _ 5 , 4 _ 9 4 _ 9 , 4 _ 8 , 4 _ 7 , 3 _ 5 Comparing and Ordering FractionsLESSON5 1291/20/11 8:34 AMMath Journal 1, p. 129 Student Page Lesson 5 3 303 Getting Started1 Teaching the Lesson Math Message Follow-Up WHOLE-CLASSDISCUSSION(Math Journal 1, p.)

7 129)Remind students that a benchmark is a well-known count or measure that can serve as a reference point when estimating. When working with Fractions , the benchmarks 0, 1 _ 2 , and 1 are often used. Discuss how students applied their knowledge of numerators, denominators, and benchmarks to tell if each measurement is closest to 0, 1 _ 2 , or Assessment: Journal Page 129 Problem 5 Recognizing Student AchievementUse journal page 129, Problem 5 to assess students understanding of the structure of Fractions . Students are making adequate progress if their explanations correctly represent the relationship between the numerator and denominator and the use of benchmarks such as 0, 1 _ 2 , and 1.

8 [Number and Numeration Goal 6] Ordering Fractions PARTNER ACTIVITY(Math Journal 1, p. 129)On the board or a transparency, draw 4 horizontal lines in a row to order the Fractions from Problems 1 4 of the journal page. Volunteers explain which of the Math Message Fractions is least and which is greatest. 1 _ 8 is the least because it is the closest to 0; 15 _ 16 is the greatest because it is closest to 1. Write these Fractions on the first and last lines, respectively. Ask: Since 5 _ 8 and 3 _ 8 are equally close to 1 _ 2 , how do we decide where to write them? Both Fractions are eighths, and 5 is more than 3, which means that 3 _ 8 is the smaller fraction so it is closer to Math and ReflexesMath MessageUse the benchmarks 0, 1 _ 2 , and 1 to answer Problems 1 5 on journal page Link 5 2 Follow-Up Allow students five minutes to compare answers and correct any errors.

9 Have volunteers share their mixed-number students use the rulers on their Geometry Templates. Find 2 1 _ 2 inches on a ruler. How many half-inches is that? 5 Find 6 cm on a ruler. How many 1 _ 2 cm is that? 12 Find 2 4 _ 8 inches on a ruler. How many quarter-inches is that? 10 Find 3 1 _ 2 cm on a ruler. How many 1 _ 2 cm is that? 7 1 _ 2 inch is what fraction of 2 1 _ 2 inches? 1 _ 5 3 _ 4 inch is what fraction of 2 1 _ 2 inches? 3 _ 10 3032/14/11 1:26 PM2/14/11 1:26 PMMath Journal 1, p. 130 Student PageMath Journal 1, p. 131 Student PageFraction-Stick ChartLESSON5 3 Date TimeWhich is larger: 47 or 45 ?

10 Which is larger: 47 or 38 ?Which is larger: 172 or 46 ?Which is larger:1 23 or 43 ?Which is closer to 1 12 :1 13 or 1 25 ?Which is 25 closest to:0 or 12 or 1?Which is 136 closest to: 0 or 12 or 1?Which is 58 closest to:0 or 12 or 1? 23 6 23 9 23 12 34 8 34 12 34 16 2106 4 184 4 161 121 35 51 12 81 34 in the blanks. Circle the correct with Fraction SticksLESSON5 3 Date TimeA whole stick is worth the fraction sticks to find equivalent 18 16b. 8 1126 4c. 8 34 16d. 12 4 8 16e. 2 44 8 the fraction sticks to add Fractions with the same : 18 28 38 a.