Monday, February 13, 2012

Examining Patterns of Change

8th graders- Your question today comes from assignment 3.3 in Frogs, Fleas, and Painted Cubes.  Question D: For each case, compare the table and it's graph.  Describe how tables and graphs show the same pattern of change. 

12 comments:

  1. yes all graphs match there tables

    ReplyDelete
  2. The graphs and the tables all have the same rate of change. The graph also shows the negative rate of change. The point on the graphs come from the tables.

    ReplyDelete
    Replies
    1. Excellent Johnna. I like how you mentioned that our graphs show the negative values. Our tables didn't because it didn't make sense to include them.

      Delete
  3. They show the same pattern of change on the positive, not negative because we didn't make a table that shows the negative numbers. Also the equation that is shown for the table was also used for the finding of the graph.

    ReplyDelete
  4. Case 1's graph- It is a parabola and it is perfectly on the x-axis.

    Case 2's graph- It is also a parabola and it is slightly to the left of the x-axis in the negative.

    Case 3's graph- It is a parabola but it is bigger than the other in width and in size.

    Case 1's table- It multiplies by "n" and it keeps going up and gets bigger each time.

    Case 2's table- it multiplies by itself and then adds 1 on to it and it keeps going up each time by it.

    Case 3's table- It multiplies by itself but then divides by 2 and thens goes from there.

    ReplyDelete
    Replies
    1. David- Very good describing what each graph and table patterns. Do the graphs match the graphs? Are the points in the table also found on the graph?

      Delete
  5. Case one is the number of players multiplied by itself.

    For case two the table multiplies and adds one each time for each hand shake.

    For case three on the table says the number of players is multiplied by the quantity of the number players -1 plus divide that product by two.

    The graphs for all these cases is that they are all u-shaped figures.

    ReplyDelete
  6. They all have the same rate of change. But their all still similar, U shaped. And they all multiply by themselves then whatever else they need.

    ReplyDelete