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Based on a survey of 3067 Finnish 5th and 7th graders and a taskbased interview of 20 7th graders we examine student's understanding of fraction.How.many.people.can.have.a.slice?.. What.fraction.of.the.pie.do.they.each.get?.. Basic Facts A.fraction.is.a.numberIt.compares.a.part.with.a. wholeShapes.like.circles.and.squares.can.be.cut.up. into.equal.partsLine.segments.can.be,.too.Fractions and Number Lines Linda Dacey, Ed.D. or diagram • Uses models to identify, order, and compare numbers Materials • Make It Match Overview These problems require students to write the fractions indicated on a number line.It is good to acknowledge this apparent mismatch between the number of digits and the decimal fraction name as children are

learning.to read decimal They learn that larger numbers are to the right of smaller ones on a number line, Decimals and Number Lines Linda Dacey, Ed.D. 75) ○ 2⁄3 ; equivalent numbers will vary □ 1 1⁄4 ; equivalent numbers will vary △ 2 1⁄8 ; equivalent numbers will vary Birthday Party (page 77) Note: Equivalent fractions are acceptable.Both teachers and parents appreciate how effectively this series helps students master skills in mathematics, penmanship, reading, writing, and grammar.Materials laminated blank number lines dryerase markers Workstations Activity sheets (pages 89–91) Fraction Number Line Task Cards (page 92) 1 + 2 – 3 Guided Math Remediation: Understanding Number Lines 1. Draw a number line Be

sure.to stress that students identify the fraction in the geometric representation and then plot the fraction on their number line. Line (App Activity) Ask each student to use the app for six fractions. When one student determines the fraction Fractions Materials • 6division number line (drawn on the board), 10division number line (drawn on the board) Teaching • Focus on the 6division number line. Write '0 and '1' at the end markings of the line. This is one whole. Ask the class This book, which consists of twelve interactive seminars, is a comprehensive and careful study of the fundamental topics of K8 arithmetic.

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