During this course 2011 - 2012 MATHEMATICS is being taught for 4º ESO.

12 / 1 / 12 INVERSE TRIGONOMETRIC FUNCTIONS


IF YOU WANT TO LEARN MORE ABOUT TRIGONOMETRY YOU CAN NOT MISS INVERSE TRIGONOMETRIC FUNCTIONS.
AS YOU SEE, YOU HAVE TO PRACTISE ON WORKING WITH YOUR CALCULATOR.


20 / 12 / 11 SIMPLIFYING TRIGONOMETRIC EXPRESSIONS

 tg2x + 1 = sec2x     tg2x + 1 = sec2x    tg2x + 1 = sec2x   tg2x + 1 = cosec2x    tg2x + 1 = sec2x    tg2x + 1 = sec2x

TRY TO SIMPLIFY A TRIGONOMETRIC EXPRESSION AND, FIND OUT IF YOU ARE RIGHT!


 cotg2x + 1 = cosec2x     cotg2x + 1 = cosec2x    cotg2x + 1 = cosec2x   cotg2x + 1 = cosec2x    cotg2x + 1 = cosec2x

16 / 12 / 11 TRIGONOMETRY WORD PROBLEMS


A little boy is flying a kite. The string of the kite makes an angle of 30o with the ground. If the height of the kite is h = 15 m, find the length (in meters) of the string that the boy has used.

11 / 11 / 11 A QUESTION TO THINK ABOUT

  sin30=1/2 sin30=1/2 sin30=1/2 sin30=1/2 sin30=1/2 sin30=1/2 sin30=1/2 sin30=1/2 sin30=1/2 sin30=1/2 sin30=1/2
m

If x is a positive angle smaller than 180° and cos(x) = -1/3, then sin(x) =

  A) -2/3             B)
2√2 / 3            C) 8/9             D) -8/9             E) 4/9 

m
cos60=1/2 cos60=1/2 cos60=1/2 cos60=1/2 cos60=1/2 cos60=1/2 cos60=1/2 cos60=1/2 cos60=1/2 cos60=1/2 cos60=1/2

8 / 11 / 11 QUESTION OF THE WEEK


IS IT POSSIBLE THAT sin a>1?
 e

TFP

Trigonometric Functions Property - GeoGebra Hoja Dinámica

Trigonometric Functions Property TFP              

Move a in order to get different angle values.




Este es un Applet de Java creado con GeoGebra desde www.geogebra.org – Java no parece estar instalado Java en el equipo. Se aconseja dirigirse a www.java.com

MJARCE, Creado con GeoGebra

More Logarithm



When I was looking for webpages of logarithm I found that one that contains a lot of examples of the logarithm rules and other things. I hope that it can help you to understand better how to do it.




25 / 11 / 11 PROBLEM OF THE WEEK

loglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglog


Complete the table:




loglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglogloglog

Logarithms

While I was looking for a page where logarithms were explained, I found this webpage, and there they have our whole unit (because logariths are powers, and you must handle them right if you want to understand logarithms). I think it's a good explanation.
LOGARITHMS

I also found this videos about logarithms with a lot of examples and their properties:
EnlaceIntroduction to logarithms
Logarithms properties Part 1
Logarithms properties Part 2

I'd also like to propose some problems. There aren't many problems related to logarithms, so mine won't be very difficult or elaborated:
log a y = c; log a y^2 =??

15 / 11 / 11 RATIONALIZING RADICALS

iF YOU NEED SOME HELP FOR RAZIONALIZING RADICALS, YOU CAN  PRACTISE SOME EXERCISES:


14 / 11 / 11 EXERCISES OF RADICALS

We check in class all the exercises you have for homework. 
But if you have any problems, HERE, you will find the correction for some exercises:


Roots and powers

These last days we have been seeing the properties of the roots and the powers. Here, you have a link which explains all.

11 / 11 / 11 GOOGLE GROUPS

I´ve opened a group for you to discuss maths questions and possible problems with maths.
I think it can be very useful. Good luck!



7 / 11 / 11 POWERS & RADICALS

Let´s start a new lesson!

As a warm up, we´ll remember the exponents rules:


Below, you will find very useful links in order to learn some new concepts:


And, now a specific calculator for radicals:

calculatorsoup.radical


And, please, don´t be negative about negative signs!

3 / 11 / 11 REVIEWING ABSOLUTE VALUE



21/10/11 INTERVALS

Next week we will be working with intervals. This link could be interesting:
mathsisfun.intervals

To know more about sets:
mathsisfun.set-builder-notation

20/10/11 ERRORS

Calculating errors is very useful in all science studies.

19/10/11 CLASSIFYING REAL NUMBERS

17/10/11 REAL NUMBERS

       First of all, an introduction will help you with different numbers sets.


To know more about numbers:

14/10/11 SETS

Let´s introduce The Sets Theory before starting the next lesson.

sets-introduction 

sets-regentsprep

6/10/11 Pascal´s triangle

You can find Pascal´s triangle history:
Learn how Pascal´s triangle works:

Explore Pascal´s triangle:

Pascal´s triangle  applications:
The Binomial Theorem

30/9/11 COMBINATORICS

This week we have been working with combinatorics. There are several techniques to count the set items.
Learn them all!