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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.