[4eso] Functions

This post contains the materials to develop 14 sessions working with different types of functions.
Topics worked:
Function: definition and characteristics; types of functions: affine (straight line), quadratic (parabola) and rational (hyperbola), solving problems, use of GeoGebra.

Most of the sessions are planned to be carried out using laptops or tablets and GeoGebra.

handouts for students
 s1   s2   s3   s4   s5   s6   s7   s8   s9   s10   s11   s12   s13   s14 

solutions
 s1   s2   s3   s4   s5   s6   s7   s8   s9   s10   s11   s12   s13   s14 

teacher guide
 s1   s2   s3   s4   s5   s6   s7   s8   s9   s10   s11   s12   s13   s14 

additional stuff
Theory summary & unit outline: theory     outline
Activity to work with functions using GeoGebra: funcGG_student     funcGG_solutions
28 activities about functions: funtions_students     funtions_solutions

unit plan
s1: definition, domain, range, intersecting points, symmetry and periodicity
s2: monotony, extrema, boundedness, solving problems
s3: characteristics of a function (graphic and algebraic study), solving problems
s4: affine and linear functions: theory and examples
s5: characteristics of a function (graphic and algebraic study), quadratic functions: theory and examples
s6: quadratic functions
s7: characteristics of a function (graphic and algebraic study), affine and linear functions      
s8: affine and quadratic functions, rational functions: theory and examples
s9: characteristics of a function (graphic study), rational functions, piecewise functions
s10: characteristics of a function (graphic study), quadratic and piecewise functions
s11: quadratic and piecewise functions, solving problems
s12: affine and piecewise functions, solving problems
s13: characteristics of a function (algebraic study), affine and quadratic functions 
s14: solving problems