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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 - PowerPoint PPT Presentation
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Teaching Fractionsby Jed Hendzel and Sandy Vanderloop
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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?
Which part of the set is black?
Which part of the set uses the number 1?
9/15 or 3/5
7/15
7/15
1/15
Three-fifths
Seven-fifths
One -fifteenthsSeven-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 equallyIf 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 FractionsAre 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://www.instructables.comhttp://spmath81708.blogspot.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
visualfractions.com
To subtract the fractions, we need to make their denominators match.
Multiplying and Dividing Fractions
Multiply the numerators together and multiply the denominators together
Dividing Fractions
http://www.visualfractions.com/divide.htm