# Mates y TIC - Maths and ICT

## Sistemas de inecuaciones con dos incógnitas

Posted by ricardogm on January 21st, 2018

Muy buenas

Hoy resolveremos gráficamente sistemas de inecuaciones con dos incógnitas, en la libreta. Usaremos el geogebra para corregir. Presten atención.

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## Trigonometry 1

Posted by ricardogm on January 18th, 2018

Hi

We are starting with the awesome world of trigonometry.

1. Project: clinometer

The picture above shows you the materials you’ll need to create a very simple clinometer (that is, a device to measure degrees of inclination, or slope). There are other designs, maybe better, but that’s mine, and it’s pretty cheap. In fact, other than the wooden lath, the rest of the materials should be in your school bag, or at home. This particular example is a bit ugly, I hope yours to be much nicer.

Instructions:

1. You’ll need to make a little hole in the right place of the protractor (the center of the circle, it’s usually marked clearly). You can use sophisticated machines, but a hot needle is probably the easier way. Just be careful. Don’t use a nuclear weapon, please.

2. Draw a line in the wooden lath, parallel to the side. The lath, of course, should be perfectly straight. Mine is a bit swill

3. Fix the nut (or another weight) to exactly 90º. You can use a reversible solution to not ruin your protractor (adhesive tape, for instance)

4. Nail down the protractor to the lath, in the middle of it and on the line you just draw.

5. Put your name on the device. I suggest using the wooden part, it’s easier.

6. At this point, it’s time to free your artistic part of the brain. Decorate the thing with something fun, or significant for you. Paint it, for example, write a song, draw a scary tatoo… It’s up to you.

Deadline: friday 26th. No excuses allowed. Examples of popular excuses: my dog ate it, my brother ate it, I ate my dog, etc.

NOTE: one clinometer per each one of you.

The following week (if the weather is nice enough) we are going to measure the height of different things with this humble device and your amazing trigonometry knowledge: trees, a hill, this school..

2. Trigonometric ratios:

We are going to create a similar applet to this one. Send it to my mail, as usual.

3. What does SOH-CAH-TOA mean? Find it out and send me the answer.

4. Using a protractor.

Posted in 4º ESO | No Comments »

## Homertry

Posted by ricardogm on January 11th, 2018

Hi

Today we are going to work with Geogebra. Pay attention to the teacher, take notes and send me the files you create.

1. A simple one to make Homer bigger or smaller. You can download this image:

2. This one creates similar polygons.

3. And another one with much more detail, showing lenghts and areas. Pay attention

Bye

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## Sistemas de ecuaciones por método de Gauss

Posted by ricardogm on January 7th, 2018

Muy buenas, volvemos llenos de entusiasmo:

Teoría

Ejercicios

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## Ecuaciones a porrillo

Posted by ricardogm on December 3rd, 2017

Muy buenas

Cojan una hoja para entregar y hagan todos los que puedan, empezando por la primera columna, luego la segunda, etc. Más tarde colgaré las soluciones. No se olviden de poner su nombre

Posted in 1º Bach. CT | No Comments »

## Equations…

Posted by ricardogm on November 30th, 2017

Hi

1. First of all, check the equations from last days using this page of Symbolab.

2. Now solve these equations in your notebook and check the solutions with Symbolab.

a) x4 − 10x2 + 9 = 0

b)

c) x4 − 61x2 + 900 = 0

d)

e)

f)

g)

h)

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Posted by ricardogm on November 26th, 2017

Muy buenas

1. Para empezar, resuelve en tu libreta estas tres acuaciones y corrigelas con Symbolab.

a)

b)

c)

2. Ahora continuamos con ecuaciones con radicales (ecuaciones irracionales). Aquí tenéis un pequeño repaso a la teoría.

3. A practicar:

a)

b)

c)

d)

e)

4. Corrige con Symbolab.

Posted in 1º Bach. CT | No Comments »

## Factorizar y simplificar

Posted by ricardogm on November 19th, 2017

Muy buenas

1. Ejercicios sobre factorización. Se corrigen ellos solitos.

2. Factoriza los polinomios que aparecen en estas ecuaciones. Corrigelos con Symbolab.

3. Lo mismo que has hecho para factorizar sirve para resolver las ecuaciones. Las raíces del polinomio son soluciones de la ecuación P(x)=0. En este Geogebra se ve clarito:

4. Unos ejercicios sencillos sobre fracciones algebraicas. Hay que factorizar numerador y denominador y luego simplificar. Piensa en los gatinos, tan monos.

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## Repaso 3º

Posted by ricardogm on November 19th, 2017

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## Algebraic fractions

Posted by ricardogm on November 16th, 2017

Hi

1. Now it’s time for practice a bit with algebraic fractions (AKA rational expressions). Solve these in your notebook and check them with Symbolab.

a) Simplify:

b) Calculate and simplify: (HINT: before multiplying, factor everything, and simplify as much as possible)

And the solutions are here.

Next week we are going to learn to add and substract fractions:

Posted in 4º ESO | No Comments »