Bilingual Maths 4º E.S.O. (2017-2018)

21st May, 2018
https://drive.google.com/open?id=0BwvE_kwxS8EnUGI3ckZqek5CTW8



9th May, 2018

The Circumference (solved exercises and problems)

3th May, 2018
Analytic Geometry: A completely solved exam

20th April,2018

Vectors and Straight lines: Solved Exercises

28th March, 2018

Analytic Geometry (Summary)
"Click"on the image to get the presentation 
https://drive.google.com/open?id=1C9G8TCPYMZRo1eqd-5UlIUG06wBoIv4-
 

27th March, 2018
https://drive.google.com/open?id=1QJUhgn_HMHmAKgXRXrxUZLovwRGTlLIY


16th March, 2018

Similarity:  
Interactive questions   "Click" here...
Problems with answers (Spanish) 

Trigonometry
Some more  solved and guided problems...
Solved problems about triangles... "Click" here
Trigonometric Identities (Solved Exercices) "Click" here...

13th March, 2018

https://drive.google.com/open?id=1NXp523hTi6GoOYoloqk-Yq7O5pmbC1wEAnswers to last exam
 


13th March, 2018
A template for measuring trigonometric ratios
A "graphic calculator"...

https://drive.google.com/open?id=0BwvE_kwxS8EnWnk1YlplWW1ERGs
22sd February, 2018

Similarity
Introduction:  Watch this video...  "Click" here

Similarity:  Scale factors

Similar Triangles: Key ideas




15th February, 2018
Common Functions 



10th February, 2018 
Go further with A.R.C. of a function...
https://drive.google.com/open?id=0BwvE_kwxS8EndW1wMHl0VmhYTE0
7th February, 2018
Average Rate of Change 
The following video-clip, extracted from the well known movie by Anne Hache and Harrison Ford,
"Six Days, Seven Nights", shows us a funny scene, closely related to Average Rate of Change of a function. We will solve a problem about it when you have learned the idea properly...

  "Click" on the thumbnail  below to watch the video-clip
https://drive.google.com/open?id=0BwvE_kwxS8EnbUh5ckNvellJcHM

 


Average Rate of Change  A.R.C. 
https://drive.google.com/open?id=0BwvE_kwxS8EnRFNDUEJsZFlkZFk     


6th February, 2018

https://drive.google.com/open?id=1h_BaPfxewxmkhKdHjMyX2wcytvcXDmCT 
"Click" here to get the answer sheet


30th January, 2018

First term work plan 

http://asturmaths.blogspot.com.es/p/blog-page_45.html



14th January, 2018
Quadratic inequations (short exam)                

https://drive.google.com/open?id=1LwhVkPyVDo_-O3teWc81L4STIw3cxiEj      
 Questions "Click here"
 Answers    "Click here"

8th January, 2018

Download here the PDF version
















 

   
19th December, 2017
Second degree inequations (Solved examples)
Practise what you learned...   Worksheet
  
13th December, 2017
Answers to Global exam (first term)
https://drive.google.com/open?id=1UOVRTr7T9jq0AdEyt3IBqbAtOKtQwkuI



13th  December, 2017
Inequalities with "x" in the denominator...

How to plot a parabola without losing your temper...
"Click" to download the presentation

"Click" here to download the PDF version 
1.  Algebra revision (equations) 
2.  Algebra revision (inequalities)


30th November, 2017 
Systems of equations (Word problems)
                    (English) 

Systems of (linear) equations 
(Word problems with short answers)
http://selectividad.intergranada.com/ESO/Material/Problemas_sistemas.pdf

29th, November 2017  
"Click" here to get solved non-linear systems...
http://selectividad.intergranada.com/ESO/Material/Sistemas_no_lin.pdf
28th, November 2017
Factoring Polynomials Short Exam (Aswers)
Rational and Biquadratic Equations Exam (Aswers)

26th, November 2017
Equations (Answers to Exercises page 71)
https://drive.google.com/open?id=1F22TEbYIEHA70NUoxOu01UQ7-7TNQMEJ


25th, November 2017
Nonlinear systems
https://drive.google.com/open?id=0BwvE_kwxS8EnWXR5UE5DVUMxQnc

How to solve nonlinear systems 
(PDF presentation)
https://drive.google.com/open?id=0BwvE_kwxS8EnX09naEZ1d0d4RWc
  Nonlinear Systems of Equations (solved examples)

An example of a solved nonlinear system...
 Thanks, Ana...
Here is the graphical solution for the system...

Equations revision (just in case you need it...)

https://drive.google.com/open?id=0BwvE_kwxS8Enc1cza0N1M3g2Wkk
PowerPoint version
PDF version (fast download speed, no animations)

Algebraic fractions worksheet (with answers)

Rational equations (Interactive exercises)
Thanks again to  www.vitutor.com


23th, November 2017
Equations pages 60, 61 and 62 (Short answers) 



14th November, 2017
Algebraic fractions (pages 46 and 47): Short answers
Get the complete solutions on the following links...

13th November, 2017

Answers to exercise 24, at page 50


8th November, 2017
Factoring polynomials (Worked exercises)
"Click" here to get them 

31st October, 2017
Logarithms and Scientific Notation
  I) Solved exercices
 II) Solved exercices



29th October, 2017
https://drive.google.com/open?id=0BwvE_kwxS8EnNGVDTHA5ZVZLdFk

New! Revision Unit 1: solved exercises
"Click" on this link"



23th October, 2017
Algebra Crossword                        Answer Key
https://drive.google.com/open?id=0BwvE_kwxS8EnQVREZV9QZmRlZlE









21/Octubre/2017
Factoring polynomials (Solved exercises)
http://calculo.cc/Problemas/Problemas_bachillerato/primero_ciencias_sociales/polinomios/factorizacion.html
Factoring polynomials: Worksheet
¡Cuidado! Puede haber errores en alguna de las soluciones. Intenta encontrarlos...



18th October, 2017
 Algebra
"Click" here to get the PDF version


https://drive.google.com/open?id=0BwvE_kwxS8EnV0NtRUtVUVVtd0E

"Click" here to get the PDF version


18th, October 2017
Listen to Steve Kelly (logarithms) 
https://youtu.be/zzu2POfYv0Y


17th, October 2017
 Logarithms: Practise with these solved exercises...
Level I "Click" here
Level II "Click" here

 Solve problems:  
Complete Answers to 51-53, page 31

7th, October 2017
Logarithms, pages 30-31: Answer Key  ¡NEW!
Radicals revision: Solved examples I
Radicals revision: Solved examples II
Exercises pages 28-29: Answer Key 

21th September, 2017
Here are some presentations that could be useful for revising:
            Powers                                               Radicals     
https://drive.google.com/open?id=0BwvE_kwxS8EnWmxHMUxyOG02c1E   https://drive.google.com/open?id=0BwvE_kwxS8EnM0h2NmtSdHhLNFE
 Powers and Roots

"Click" on the pictures to download the presentations
  
Listen to a native teacher talking about radicals...


20th, September 2017
Intervals and half-lines
For further information, "Click" here 
Balls (Level I)
https://drive.google.com/open?id=0BwvE_kwxS8EncWRZazNkZkdhakE
Balls (Level II)
https://drive.google.com/open?id=0BwvE_kwxS8EnSGRrS1RvSVVmZVU


19th, September 2017
Real numbers
https://drive.google.com/open?id=0BwvE_kwxS8EnRDZGaEUwM0N6MXM
To learn more about Irrational numbers "Click" here
 https://drive.google.com/open?id=0BwvE_kwxS8EnQnlIMk9sWFNVdUU

2017/2018 school year

Welcome to our class!

First of all, I would like you to read carefully the following document. It contains
some accurate instructions which will help you succeed in improving your math skills
and passing your exams, too...
https://drive.google.com/open?id=0BwvE_kwxS8EnMXljSk9FTEx6cjg

This page will be developed progressively...
...bBut, for the time being, you can visit this link in order to get some materials...

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