The doctor who didn´t know (enough) math

Follow the links below to get the handouts and the solutions to this activity on functions

Topics worked:
comprehensive reading, linear functions, piecewise functions, graph functions, proportions, algebraic language, solve equations, real-life context problems

handouts         solutions

En los siguientes enlaces puedes encontrar esta misma actividad en castellano

enunciado      soluciones

Primer encuentro astur-cántabro GeoGebra en el aula

Aquí puedes encontrar los materiales para desarrollar las sesiones presentadas en la comunicación Números reales y polinomios con GeoGebra, dentro del primer encuentro astur-cántabro GeoGebra en el aula, Castro Urdiales 27 de abril de 2013.

números reales y polinomios con GeoGebra

[4eso] Assessment exercise 6: Maths & Arts

Follow the link below to get the text and the activities of this assessment exercise.

Closing date 20/V/2013

Topics worked:  

comprehensive reading, history of mathematics, mathematical proof, prime and composite numbers, Pythagoras' theorem.

Thank you very much Haylee Ryan Yale, our language assistant, for your help with the translation

4ESOassessExercise_geometry

En los siguientes enlaces puedes encontrar el texto de la actividad en castellano

matematicas&arte_alumno            matematicas&arte_profe

[4eso] Assessment exercise 5: functions

Look here for the pdf file with the text of assessment exercise 5 on functions.
Closing date: 2/V/2013

Topics worked:  
definition of function.
characteristics of a function: domain, range, intercepting points, monotony, extrema, curvature, boundedness, asymptotes and continuity.
types of functions: quadratic and rational (degree 1) functions.
use of GeoGebra: graph funtions, export as image, intersection tool, object properties


4ESOassessExercise_functions

[4eso] Functions

Here you can find the materials to develop a unit on functions.

Topics worked:  
definition of function.
characteristics of a function: domain, range, intercepting points, monotony, extrema, curvature, boundedness, symmetry and periodicity.
types of functions: linear, affine, quadratic and rational (degree 1) functions, piecewise functions
straight lines: equations and relative position
real-life context problems with functions.

theory             activities             solutions

off topic: problemas con los comentarios

No sé cuántos de los que os pasáis por aquí habéis tenido problemas para publicar comentarios. Yo hace tiempo que me di cuenta del problema porque no podía responder a los que aparecían. Desde entonces he intentado resolverlo: primero consultando el problema a los de blogger (sin respuesta), luego consultando en multitud de foros (sin respuesta satisfactoria) y finalmente consultando a mi propia intuición ayudada del sofisticado método de ensayo-error.
Al final creo que lo conseguí, cambiando el modo en el que aparece la ventana de comentarios de debajo de la entrada a ventana emergente.
Espero que de ahora en adelante no haya problemas para que podáis dejar vuestros comentarios (que siempre son bienvenidos y agradecidos).
Un saludo desde la Casa a todos sus visitantes.

The evolution of ideas (an example)

This is a new version of this activity

This activity consists of a text that starts with Tartaglia, Cardano and their competition to find the solution to the third and fourth degree equations and finishes with Complex Numbers and the Mandelbrot Set. It also has some activities for the students related to the text.
In the links below you can find the handouts for the students and the teacher guide. You can also get a couple of videos from YouTube and a GeoGebra applet with interesting representations of the Mandelbrot Set.

The evolution of ideas (handouts)
The evolution of ideas (teacher guide)
Mandelbrot Set 2010 Odyssey (video)
Mandelbrot Set Zoom (video)
Mandelbrot Set (applet GeoGebra)

[1eso] Algebra: algebraic language, equations

Here you can find the materials to develop 14 sessions on algebra (55 minutes/session)
Topics worked: algebraic language, algebraic expressions, creating formulae, numerical value, operations with algebraic expressions, equivalent equations, solutions, first degree equations, solving problems.
Some exercises are taken from a selection made by J.A. Trevejo from Australian text books Mathematics for the International Student, Haese & Harris Publications, 2008.

session 1 (algebraic language): teacher guide, handouts, solutions
session 2 (algebra vs english + guess the number): teacher guide, handouts, solutions
session 3 (creating formulae + numerical value): teacher guide, handouts, solutions
session 4 (like terms + numerical value): teacher guide, handouts, solutions
session 5 (expand and simplify): teacher guide, handouts, solutions
session 6 (operate algebraic expressions): teacher guide, handouts, solutions
session 7 (operations + equations & solutions): teacher guide, handouts, solutions
session 8 (solving equations): teacher guide, handouts, solutions
session 9 (equivalent equations + solve equations): teacher guide, handouts, solutions
session 10 (solve equations): teacher guide, handouts, solutions
session 11 (problems with equations 1): teacher guide, handouts, solutions
session 12 (problems with equations 2): teacher guide, handouts, solutions
session 13 (problems with equations 3): teacher guide, handouts, solutions
session 14 (problems with equations 4): teacher guide, handouts, solutions

[1eso] Assessment exercise 6: algebra / Ejercicio de evaluación 6: álgebra

Look here for the pdf file with the text of assessment exercise 6 on algebra.
Closing date: 8/III/2013
assessment exercise 6

Aquí puedes encontrar el archivo con el enunciado del ejercicio de evaluación 6 sobre álgebra.
Fecha límite: 8/III/2013
ejercicio de evaluación 6

[1eso] Ejercicio de evaluación 5: proporcionalidad y porcentajes

En el siguiente enlace tienes el texto del quinto ejercicio de evaluación del curso. En este caso sobre proporcionalidad y porcentajes, los contenidos del último tema que hemos trabajado en clase.
Recuerda que el plazo de entrega finaliza el viernes 15 de febrero de 2013

ejercicio de evaluación 5

[4eso] Algebra: equations, inequations and systems of equations

Look here for the materials to develop 15 sessions on algebra (55 minutes/session).
Topics worked: polynomial, rational and irrational equations; linear and non-linear systems of equations; one variable inequations; problem solving; use of GeoGebra.
Some exercises are taken from the textbook Matemáticas 4ESO, opción B, proyecto Los Caminos del Saber, editorial Santillana, 2011.

Unit handouts
equations, inequations and systems

GeoGebra applets
equations 1     equations 2     linear systems     non-linear systems     inequations

session 1 (biquadratic equations): teacher guide, solutions
session 2 (polynomial equations): teacher guide, solutions
session 3 (rational equations): teacher guide, solutions
session 4 (irrational equations): teacher guide, solutions
session 5 (irrational equations): teacher guide, solutions
session 6 (any type equations): teacher guide, solutions, handouts
session 7 (linear systems): teacher guide, solutions
session 8 (non-linear systems): teacher guide, solutions
session 9 (non-linear systems): teacher guide, solutions
session 10 (problem solving): teacher guide, solutions, handouts
session 11 (problem solving): teacher guide, solutions, handouts
session 12 (inequations degree 1): teacher guide, solutions
session 13 (inequations degree 2): teacher guide, solutions
session 14 (inequations degree n>2): teacher guide, solutions
session 15 (inequations degree n>2): teacher guide, solutions