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.shtml Activities http://mason.gmu.edu/~mmankus/PBlocks/Fractions.htm

6. 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 Pattern Block ProblemsAddition

7. Unit = 3 Hexagons 1/2 + 4/9 1 1/3 + 1 4/18 Unit = 4 Hexagons 1/3 + 1/6 ¾ + ½ Pattern Block ProblemsAddition

8. 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 Pattern Block ProblemsSubtraction

9. 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 Pattern Block ProblemsSubtraction

10. 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 Pattern Block ProblemsMultiplication

11. 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 Pattern Block ProblemsDivision