Bilingual Maths 4º E.S.O. (2017-2018)

21st May, 2018

PDF Version: "Click" here...

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 

 

27th March, 2018

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

Answers to last exam
 


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

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...

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://youtu.be/f4MYCepzLyQ

Average Rate of Change  A.R.C. 

     

6th February, 2018

 

"Click" here to get the answer sheet

30th January, 2018

First term work plan 

14th January, 2018
Quadratic inequations (short exam)                

      
 Questions "Click here"

 Answers    "Click here"

8th January, 2018

Download here the PDF version

Elementary functions "Click" here...

 

   
19th December, 2017
Second degree inequations (Solved examples)
Practise what you learned...   Worksheet
  
13th December, 2017
Answers to Global exam (first term)

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

"Click" to download  

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

"Click" here to download the PDF version 

(no animations) 

1.  Algebra revision (equations) 

Worksheet 1    Worksheet 2

2.  Algebra revision (inequalities)

Worksheet 3    Worksheet 4

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

                    (English) 

Systems of (linear) equations 
(Word problems with short answers)

                     (Spanish)

29th, November 2017  
"Click" here to get solved non-linear systems...

28th, November 2017
Factoring Polynomials Short Exam (Aswers)
Rational and Biquadratic Equations Exam (Aswers)

26th, November 2017
Equations (Answers to Exercises page 71)

25th, November 2017
Nonlinear systems

How to solve nonlinear systems 

(PDF presentation)

  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...)

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...

Complete solutions, page 46 
Complete solutions, page 47

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

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



23th October, 2017
Algebra Crossword                        Answer Key

21/Octubre/2017
Factoring polynomials (Solved exercises)

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

"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     

 

 Powers and Roots

   

"Click" on the pictures to download the presentations

  

Listen to a native teacher talking about radicals...

https://youtu.be/UoB-bPXH7Nc

20th, September 2017
Intervals and half-lines

 

For further information, "Click" here 

Balls (Level I)

Balls (Level II)

19th, September 2017
Real numbers

To learn more about Irrational numbers "Click" here

 

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...

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