To start my course on parallelograms, I developed a series of experiments that students perform in rotating TP. Each experiment
is designed the same way, in four steps:
1) construction of a parallelogram with the proposed equipment
2) Explanation of mathematical vocabulary into play
3) Writing a property sufficient to make a parallelogram.
4) Using this property to construct a parallelogram using geometrical instruments.
Students are divided into groups of two or three. Whenever the construction is completed, the students are validated on a grid of validation. They can then answer the following questions.
To begin the meeting, give a good mental image dui parallelogram, fix the definition and provide a "mold" to other editors, all students begin by TP 1.
TP1: definition of parallelogram
Materials provided: 4 sheets of tracing paper, with two lines drawn. Only layers 1 and 4 show parallel lines 2-2.
questions (questions 4, 6 and 7 are exactly the same for all labs (at almost offsets), I did not recover thereafter.
1) With the help of two Layers well selected, building a parallelogram. Be validated by the teacher.
2) What are the numbers of layers you have chosen to build these parallelograms?
3) Why did you choose these layers there?
4) Make a diagram of your building with the quadrilateral ABCD. What can we say about this figure using a TP?
5) Complete the sentence:
A parallelogram is a quadrilateral ................................ ..........
................................................. ..............................
6) Using this property, complete the parallelogram ABCD.
7) What build tools do you use?
After letting the students try ten minutes, a typical correction is proposed.
TP 2: Sufficient condition for equal lengths in pairs. (with chopsticks)
Two TP with different hardware but leading to the same property
TP 2: Sticks and 4 clamps
1) Choose the material on the table to build a parallelogram . Make
validated by the teacher.
2) How did you choose the stems?
3) What are the stems the same length in this parallelogram?
sentence to complete:
If a quadrilateral ... .................................... .................................................. ..........., then it is a parallelogram.
TP2 bis (with bar tack)
material: 4-band mechanic, 4 screws, 4 nuts
1) build a parallelogram with all hardware proposed. Be validated by the teacher.
2) How did you put the screws?
Phrase to complete: If a quadrilateral
... ....................................... .................................................. ........, then it is a parallelogram.
TP3: sufficient condition for the central symmetry (or the middle of the diagonals.)
Material: 2 stalks mechanic, 5 screws and nuts, elastic.
1) Build a parallelogram with all the equipment proposed. Be validated by the teacher.
2) What are the two bars for mechanical parallelogram ?
3) What is the elastic parallelogram?
4) How did you put the screws on the bars?
sentences to complete:
If a quadrilateral has diagonals that ................................. ..........., then it is a parallelogram.
If a quadrilateral admits a ........................................... ............., then it is a parallelogram.
TP4: sufficient condition for two sides.
Material: 3 stalks mechanically prepared, 4 screws, 4 nuts, elastic.
1) How were mounted pins 1 and 3 relative to pin 2?
2) What can be said of the rods 1 and 3?
3) What property did you use?
4) Using the proposed equipment, construct a parallelogram. Be validated by the teacher.
5) How did you choose the location of the screws? Phrase to complete
If a quadrilateral has two ..................................... ...................., then it is a parallelogram.
TP5: Sufficient conditions on the angles
Material: transparent sheets.
1) Choose good transparent sheets to build a parallelogram. Be validated by the teacher.
2) What are the sheets that you have chosen?
3) How did you choose these leaves?
4) What can we say opposite angles in a parallelogram?
5) What can be said of consecutive angles in a parallelogram?
sentences to complete
If a quadrilateral has its opposite angles .........................................., Then it is a parallelogram
If a quadrilateral has angles consecutive .............................., then it is a parallelogram.
We must allow two hours for this lab.
Most students are enthusiastic.
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