Labo des Fonctions

Teaching functions in middle school (Cycle 4)

The Functions Lab is a companion application for teaching functions in cycle 4. Most of the tools can also be used in second.

It comprises four main parts:

I. ACTIVITIES

Five activities are available:

- Graphic representations (1)

- Albert's machine

- Graphic representations (2)

- Affine functions

- Linear functions

Graphic representations (1):

Goals :

- Visualize the graphic representation of a phenomenon

- Read, use a graphical representation

Albert's machine:

Goals :

- Introduce the notion of function

- Introduce function notations and vocabulary

Graphic representations (2):

Goals :

- Search, extract information

- Read, interpret a graphical representation

Affine functions:

Goals :

- Recognize an affine function

- Plot the graphical representation of an affine function

- Determine the coefficients of an affine function

Linear functions:

Goals :

- Recognize a linear function

- Plot the graphical representation of a linear function

- Determine the leading coefficient of a linear function

- Associating linear function and situation of proportionality

- Associating linear function and percentages

II. TRAINING EXERCISES

Eight exercises are available:

- Vocabulary

- Tables of values ​​and ratings

- Image and background calculations

- Calculation programs

- Reading of images and antecedents

- Tables of values ​​and curves

- Curves, notations and vocabulary

- Represent an affine function

Each exercise is configurable (number of questions, difficulty), and includes a correction in case of error.

III. LESSONS AND TOOLS

Three modules are available:

- Lesson

- Curve plotter

- Table of values

The lesson is that of the college program: Notion of function, affine functions and linear functions.

Curve plotter allows you to plot up to 3 graphic representations in the same reference.

Table of values ​​allows you to obtain... the table of values ​​of any function (10 values ​​with the smallest value and the step to choose), and to visualize the points (and possibly the curve) in an orthogonal reference .

IV. PROBLEMS

Four problems are available:

- Rectangle of maximum area

- Coming soon

- Coming soon

- Coming soon

Rectangle of maximum area allows to study the variations of the area of ​​a rectangle of constant perimeter, and to find the maximum graphically.