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Overview | The Math | The Lesson
The Lesson
The lesson consists of three parts. The first part is the most
important. The second part leans towards
abstract geometry, while the third has a more artistic flavor
(they
are both optional).
- Basic Constructions
- Handout-based Shapes Activity (optional)
- A Math Mural (optional)
Basic Constructions
- Show the class how to do the five basic constructions
(as described in The Math) on paper affixed
to cardboard or foamboard. The larger your drawings, the better they will look.
- Straight Line
- Circle
- Ellipse
- Right Angle
- Point at Same Distance from two Given Points
Tip:
For drawing circles, tie a small loop at each end of a length
of
string, push a pin into the board through one loop, and put a pencil through the other loop.
For drawing ellipses, tie a length of string to make a big loop, push two pins into
the board, and loop the string around them.
- Emphasize that finding a point at the same distance from two given
points (fifth construction) will be of great help for
drawing more complex shapes.
- Distribute string, board, paper, pencils, scissors, pushpins, and
straight edges.
- Ask students to practice the five basic constructions.
Shapes Activity
- Distribute the activity handout.
- Separate the class into small groups to work on drawing the shapes in the handout. Have a look at these proposed solutions.
A Math Mural
Encourage art with math! The possibilities are endless. Here are some
ideas:
- Have students create a Math Mural on chart
or butcher paper by gluing cut-out shapes drawn on their boards.
Use all kinds of decorating supplies.
- The class could draw a chalk Math Mural on the school
yard. Substitute students' feet for the pushpins.
- If your school grows a garden, have fun designing circular and
elliptical flower and
vegetable beds. Use stakes instead of pushpins.
Download the Lesson Kit (pdf)
 
Send questions, comments to asofer@math.utexas.edu. |