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Introduction to Fractions

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... are in one yellow hexagon? ... the possible ways to represent the hexagon using one or more of the pattern ... is what fraction of the yellow hexagon? ... – PowerPoint PPT presentation

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Title: Introduction to Fractions


1
Introduction to Fractions
  • ELED 6550
  • Summer 2007

2
What is a fraction?
3
Fraction Definitions and Models
  • Fraction Definitions
  • Parts of a Whole
  • Parts of a Collection
  • Ratio
  • Quotient
  • Fraction Models
  • Area
  • Region
  • Set
  • Length

4
Region Model
  • Region represents the whole
  • Commonly used regions
  • Fraction Circles
  • Fraction Rectangles
  • Another type Pattern Blocks

5
Pattern Blocks
  • The Pattern Block Pieces
  • Green Triangle
  • Blue Rhombus
  • Red Trapezoid
  • Yellow Hexagon

6
Pattern Block Relationships
  • How many green triangles are in one blue rhombus?
  • How many green triangles are in one red
    trapezoid?
  • How many green triangles are in one yellow
    hexagon?
  • How many blue rhombuses are in one yellow
    hexagon?
  • How many red trapezoids are in one yellow hexagon?

7
Pattern Block Relationships (Cont.)
  • List all the possible ways to represent the
    hexagon using one or more of the pattern block
    pieces.

8
Pattern Block Fractions
  • The green triangle is what fraction of the blue
    rhombus?
  • What part of this fraction is the numerator?
  • What does the numerator in this fraction mean or
    represent?
  • What part of this fraction is the denominator?
  • What does the denominator in this fraction mean?

9
Pattern Block Fractions
  • The green triangle is what fraction of the red
    trapezoid?
  • The green triangle is what fraction of the yellow
    hexagon?
  • The blue rhombus is what fraction of the yellow
    hexagon?
  • The red trapezoid is what fraction of the yellow
    hexagon?

10
Whats the Whole?
  • GT with BR v. RT with YH
  • Using YH as the whole
  • Equivalent fractions
  • Using multiple YHs as the whole

11
Pattern Block Pictures
  • Use your pattern blocks to create a picture.
  • Determine the fraction of the picture for each
    pattern block.

12
Questions
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