FFPC+Mathematical+Reflections,+p.84

Mathematical Reflection 5. PR - Feb 24, '09

1. A: **Which of the relationships involved in the cube puzzles are linear?** The Relationship for the two faces painted is linear. B: **What common patterns occur in tables, graphs, and equations for linear relationships?** They increase by a consecutive number each time in the Y column.

2. A: **Which of the relationships involved in the cube puzzles are quadratic?** The one with one face vs. edge lenth.

B: **What common patterns occur in tables, graphs, and equations for quadratic relationships?** The second differences are constant, and the graph produces a parabola. The factored form equation contains the independent variable raised to a second power.

3. A: **Which of the relationships involved in the cube puzzles are neither linear nor quadratic?** The number of cubes painted on zero faces vs. edge-length.

B: **What are some patterns you observed in tables, graphs, and equations for these relationships?** Differences between the y-values, you need to do it three times to get a constant.

In this investigation I learned about quadratic relationships in 3D situations.
 * Summary:**