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## Teaching Fractions by Jed Hendzel and Sandy Vanderloop

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**Teaching Fractionsby Jed Hendzel and Sandy Vanderloop**Where do you use and see fractions everyday?**Making Connections to Fractions**• Fraction words • Whole – the entire part • Part – a piece or part of a whole unit • Fraction – one or more parts of a whole or unit • Halves - what fraction of the letters are green? 3/6 or 1/2 • Thirds - what fraction of the letters are red? 2/6 or 1/3 The numerator tells you how many parts we are talking about, can this number ever be zero? The denominator tells you how many parts the whole is divided into**Part-WholeThe whole has been partitioned into equal parts**• Region – region is a whole and parts are congruent • Length – any unit of length can be partitioned into fractional parts of equal length • Set – uses a set of objects as a whole • Area - parts must be equal in area but not necessarily congruent**RegionRegion is a whole and parts are congruent**http://www.globalclassroom.org**Length Any unit of length can be partitioned into fractional**parts of equal length How many 1/12’s are in a whole? How many 1/8’s are in a whole http://bigshanty.blogs.com/Ashburn/**SetUses a set of objects as a whole**Which part of the set has single digits? Which part of the set is striped? 9/15 or 3/5 Three-fifths 7/15 Seven-fifths Which part of the set uses the number 1? Which part of the set is black? 7/15 1/15 Seven-fifteenths One -fifteenths**AreaParts must be equal in area but not necessarily**congruent If Jed ate 1 slice of the apple what fraction did he eat? What fraction of the apple is left? How would you write that?**Quotient**Partitioning – sharing equally If we have 12 carrot sticks how would you share them equally with 4 friends?**Ratio**1 teacher ______ 5 children One-fifth**Equivalent Fractions**1/2 is equal to 5/10 1/3 is equal to 3/9 http://ssrsbstaff.ednet.ns.ca/jcroft2/fractions.htm**Comparing and Ordering Fractions**Are these fractions equal? 7/16 < 3/4 3/16 < 5/8**Mixed Fractions**1 1/2 1 2/8 wholes and parts**Improper Fractions**http://spmath81708.blogspot.com http://www.instructables.com**Adding and Subtracting Fractions with like denominators**http://www.inspiration.com/Kidspiration-math-examples**Adding Fractions with unlike denominators**http://www.helpingwithmath.com**Subtracting Fractions with unlike denominators**To subtract the fractions, we need to make their denominators match. visualfractions.com**Multiplying and Dividing Fractions**Multiply the numerators together and multiply the denominators together**Dividing Fractions**http://www.visualfractions.com/divide.htm