Fractions

1
Fractions

• ELED 6550
• Summer 2007

2
Pattern Blocks

• The Pattern Block Pieces
• Green Triangle
• Blue Rhombus
• Red Trapezoid
• Yellow Hexagon
• Others
• Pink Double Hexagon
• Black Chevron
• Tan Large Rhombus
• Square

3
Operations with Fractions
4
Operations with Fractions

• Use Benchmarks
• Develop a conceptual understanding
• Students think multiply means bigger, and
  division means smaller.

5
Pattern Blocks

• Link to Samples and Descriptions
• http//mathcentral.uregina.ca/RR/database/RR.09.95
  /hanson4.html
• Virtual Pattern Blocks Applet
• http//www.arcytech.org/java/patterns/patterns_j.s
  html
• Activities
• http//mason.gmu.edu/mmankus/PBlocks/Fractions.ht
  m

6
Pattern Block ProblemsAddition

• Unit 1 Hexagon
• Tra Rho
• Tra Tri
• Tri Rho
• 2H2Rho 1H1Tra
• 1H5Tri 2H1Rho

• Unit 2 Hexagons
• 1/6 1/12
• 3/4 1/6
• 5/12 1/2
• 3 ¼ 2 ½
• 1 1/3 1 7/12

7
Pattern Block ProblemsAddition

• Unit 3 Hexagons
• 1/2 4/9
• 1 1/3 1 4/18

• Unit 4 Hexagons
• 1/3 1/6
• ¾ ½

8
Pattern Block ProblemsSubtraction

• Unit 1 Hexagon
• Hex Tra
• Tra Tri
• Rho Tri
• 2Rho Tra
• 1H1Tra 5Tri

• Unit 2 Hexagons
• 2/3 1/4
• 1/4 - 1/6
• 2 3/4 - 7/12

9
Pattern Block ProblemsSubtraction

• Unit 3 Hexagons
• 1/2 - 1/9
• 1 1/2 - 5/9

• Unit 4 Hexagons
• 1/3 1/6
• 2 1/8 1 2/3

10
Pattern Block ProblemsMultiplication

• Unit 1 Hexagon
• 1/2 x 1/3
• 1/2 x 2/3
• 1/2 x 1
• 1/3 x 1 1/2

• Unit 2 Hexagons
• 1/6 x 1/2
• 1/3 x 1/4
• 1/5 x 1 1/4

11
Pattern Block ProblemsDivision

• Unit 1 Hexagon
• Hex / Tra
• Hex / Rho
• Tra / Tri
• Tri / Tra
• Rho / Tra

• Unit 2 Hexagons
• 1/2 divided by 1/4
• 1/4 divided by 1/12
• 1/12 divided by 1/6