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Fractions

Fractions. ELED 6550 Summer 2007. Pattern Blocks. The Pattern Block Pieces Green Triangle Blue Rhombus Red Trapezoid Yellow Hexagon Others Pink Double Hexagon Black Chevron Tan Large Rhombus Square. Operations with Fractions. Operations with Fractions. Use Benchmarks

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Fractions

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  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

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