Solving equations
Table designs

Debbie is an artisan who manufactures tables with stained-glass tops. The dynamic figures below show the 7 basic designs in Debbie's catalog.
The owners of a new cafe ordered 21 tables, three executions in each of the seven designs, all 1x1 meter. Here are their specifications:

- In one table the green and the red areas are equal.
- In one table the green area is twice the size of the red area.
- In one table the red area is twice the size of the green area.

Construct mock-ups for the tables

For each of the 7 designs:
Describe the green amd red areas using functions. Indicate which variable you chose.
  • Determine which of the three specified executions are feasible.
  • For each of the executions that are feasible, describe the dimensions of the individual pieces of glass (squares, rectangles, triangles) from which the table is assembled.


  • design 1
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    design 2
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    design 3
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    design 4
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    design 5
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    design 6
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    design 7
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    The difference equation

    vertex form = constant
    quadratic function = constant
    The difference equation
    Carpenter's problem
    Playing fields
    Warm-up
    Table designs
    Isosceles triangles
    Cutting circles
    Pairs of numbers

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5
    Exercise 6
    Exercise 7