Teaching Fractionsby Jed Hendzel and Sandy Vanderloop

ba

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