Teaching Fractions by 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-Whole The 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

Region Region 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/

Set Uses 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

Area Parts 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