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 1.How many green triangles are in one blue rhombus? 2.How many green triangles are in one red trapezoid? 3.How many green triangles are in one yellow hexagon? 4.How many blue rhombuses are in one yellow hexagon? 5.How many red trapezoids are in one yellow hexagon?

7. Pattern Block Relationships (Cont.) 1.List all the possible ways to represent the hexagon using one or more of the pattern block pieces.

8. Pattern Block Fractions 1.The green triangle is what fraction of the blue rhombus? 2.What part of this fraction is the numerator? 3.What does the numerator in this fraction mean or represent? 4.What part of this fraction is the denominator? 5.What does the denominator in this fraction mean?

9. Pattern Block Fractions 1.The green triangle is what fraction of the red trapezoid? 2.The green triangle is what fraction of the yellow hexagon? 3.The blue rhombus is what fraction of the yellow hexagon? 4.The red trapezoid is what fraction of the yellow hexagon?

10. What’s 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