Fraction Basics

= 1

Fraction Extension

• Equivalent fractions with pattern blocks and paper folding

• Mixed and Improper fractions• Percent of shapes• Percent increase or decrease• Multiplication and division of fractions

Equivalent Fractions

=

=

1 1

EquivalentFractions withPaper Folding

NumeratorDenominator

Number of PiecesNumber of Pieces in a whole

If a red isosceles triangle represents,

What shape represents a whole?

If a yellow hexagon represents 1 ½ , what does a whole look like?

Improper Fractions

Improper Fractions

If a red isosceles triangle represents a whole, ,

What shape represents an decrease of 33%?

Adding FractionsCommon

DenominatorNo Problem

+

+

Try to Model this Addition Problem

Adding Fractions with Paper Folding

If a whole is 5 yellow hexagons

What shape represents 1/3 of the whole?

What Are We Really Doing as a Fraction Operation?

• If a whole is 5 yellow hexagons, what shape represents 1/3 of the whole?

• What is 5 divided by 3?• What is 1/3 of 5?• What is 1/3 X 5?• I have 5 cookies how much will each person

get?• What is 33% of 5?

If a whole is 5 yellow hexagons

What shape represents 2/3 of the whole?

or

What Are We Really Doing as a Fraction Operation?

• If a whole is 5 yellow hexagons, what shape represents 2/3 of the whole?

• What is 2/3 of 5?• What is 2/3 X 5?• What is 67% of 5?• What is 1/3 taken away from 5?• What is 33% taken off of 5?

Try to Model this Multiplication Problem

Try to Model this Multiplication Problem

Dividing Fraction

• What is 2 whole divided equally into 3 groups?• Show that it makes since with repeated addition 2/3

+ 2/3 + 2/3• What is 2 divided by 1/3?• What is 2 divided by 2/3?• What is 4 divided by 1 ½• What is 4 divided by 1 1/3? = 3 • What is 5 divided by 1 1/3 = 3 ¾• What is 2 ½ divided by 2/3

White Board Feedback Strategy

Thanks to Loni Watson, Seward

WhiteOut

A Duck

• The yellow hexagon is what part of the duck?

• The green equilateral triangle is what part of the duck?

The yellow hexagons are what part of the whole?

If this shape is represents a whole,

The blue rhombi are what part of the whole?The green equilateral triangles are what part of the whole?