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