EXT 3-6 Sampler

31 LessonPlan: Equivalent Fractions for1/2 67 ©Math TeachersPress, Inc.,Reproduction by anymeans is strictly prohibited. 1. 2. Equivalent fractions have the same value, but they have different names. Fraction bars help identify fractions that are equivalent. You can use fraction bars to find equivalent names for . = = Equivalent Fractions 1 of 2 2 of 4 3 of 6 Use your fraction bars to find equivalent fractions for the given fraction. Draw pictures. Write the names. Lineup the fraction barsso thesamepart isshaded. 3. = , = ______ 5. = , = ______ 4. = , = ______ 6. = , = ______ 7. To change a fraction toan equivalent fraction, multiply the _______________________and _______________________by the samenumber. Write the number that makes the fractions equivalent. Whatoperation isusedonthenumeratorand denominatortomakeanequivalent fraction? _______________________ multiplication 2–6 4–12 2 2 30 numerator denominator 10 3–12 answerswill vary Lesson 23, 4ETeacherGuide 67 Objective32: To find equivalent fractional names for 1/2. To find thepattern for equivalent fractions. PD Materials: FractionBars (orFractionStripsmade from Master 14), 4-inchby4-inch cut-out squares Vocabulary: equivalent, equivalent fractions Read toMe: TwoGreedyBears, Ginsburg,Mirra. (See p. xiii of foreword for the related activity.) Fractional Names for 1/2 In this activity, studentswill useFractionBars or FractionStrips to explore, identify andnamebars that have the samepart shaded. Then theywill be asked to find thepattern for changing fractions to equivalent fractions (multiplying thenumerator anddenominator by the samenumber). Eachpair or small groupof studentswill need a set of FractionBars and two4-inchby4-inch cut-out squares. Writeon theboard: Juan andhis sister eachhad a squarebrownieof the same size. Juan cut his brownie into2 equal parts and ateoneof theparts.His sister cut her brownie into4 equal parts and ate twoof theparts. Juan toldhis sister that shehad eatenmoreof her brownie thanhehad eaten.Doyou agreeordisagree?Why? Ask students todraw lines and then fold their squares to showhow each childhad cut their brownie. Nameeach brownieas a fraction (2/2 and 4/4). Now foldyourbrownie to showhowmucheach child has eaten.Compare the twoparts. Writeon theboard: = The fraction 2/4 is anothername for½.We say the fractionshave the samevalueorareequivalent.When twoormore fractions represent the samenumber,we call themequivalent fractions. Equivalent Fractions for 1/2 Distribute a set of FractionBars to eachgroup.Have students sort intoonepile all thebars that have exactly one-half shaded. Writeall thedifferent fractional names you can find for thebars inyourpile. (½, 2/4, 3/6, 5/10, 6/12) Sister Juan Sister Juan Study thenumerators anddenominators. Canyoudiscover thepattern that tells you whena fraction is anothername for½? (the numerator anddenominatorwerebothmultipliedby the samenumber) Writeon theboard: Read the illustration at the topof thepage together. Lookat thebars carefully.UseyourFractionBars to findandmatch thepictures. Put apictureof them in yourmind.Now closeyour eyes.Which is theeasiest tovisualize? (½) Theone that is easiest tovisualize is called the simplestname for the fraction. Using fractionbars,workproblem1 together. Then have studentsdraw apictureof the fractions thatmatch⅓. (2/6 – red and 4/12 –orange) Whatpattern canyouuse to change⅓ to 2/6? (multiply both thenumerator anddenominator by2) Skill Builders 32-3, 32-4, 32-5, 32-9, 32-10 1 2 3 3 3 6 1 2 2 2 2 4 1 2 5 5 5 10 1 2 6 6 6 12 4.NF.1 Objectives for CCSS, CCSS-CA, andTEKSnoted on lessonplans in respectiveTeacherManuals.