 Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum  MENU          Solutions for Session 5, Part A

See solutions for Problems: A1 | A2 | A3 | A4 | A5 | A6| A7 | A8   Problem A1

The first square requires 4 toothpicks. The second square requires 3 more, bringing the total to 7. Each additional square requires 3 more toothpicks. Here is the completed table:

 Squares Toothpicks 1 4 2 7 3 10 4 13 5 16   Problem A2 The formula is T = 3S + 1.   Problem A3 Three toothpicks are added each time, so a recursive description is that the nth square will require 3 more toothpicks than the one before it. A formula would be written Tn = Tn-1 + 3.   Problem A4    Problem A5    Problem A6 If both rules describe the pattern correctly, the values computed by the spreadsheet should be the same as the values in the table. Note that the spreadsheet information in the columns is not the same; the third column contains formulas, and the screen shows the result of these formulas.   Problem A7 Again, the values should be the same, even though the formulas are not.   Problem A8 This should be the same graph as the one you found in Problem A5.    Session 5: Index | Notes | Solutions | Video

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