Maths 4º ESO 2015-2016

• This space has been created for my students of 4th year of Maths in IES "Guadiana".
• Here, you will find documents, videos, tips and links related to our subject.
• My first goal is to write everything into English in this blog.

"Anyone who has never made a mistake has never tried anything new". Albert Einstein

So, let's start ...

• Expressing numbers in English
• Math vocabulary for basic calculations
• All skills for this course
• Videos in Spanish
• Videos in English by topic 
• Notation in Math
• Book  

How to install Wiris in your computer!!

ANSWERS OF YOUR TEXTBOOK IN SPANISH     Clic here 
First, try it yourself!

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Unit 1: Real Numbers

  Keywords: Real, diagonal, rational, irrational, radicand, golden section, divine proportion, interval single, phi, root, Thale's theorem, prove-proof, endpoint, radical, fraction, non-ending, set-builder, parenthesis, indices, infinity, symbol, scientific notation, rationalize

 Attention!. In this unit it is compulsory to solve from the exercise 29 until the problem 71

Deadline: best-before date of the exam 

 Vocabulary of this unit: Real Numbers

• Reading: Famous Irrational Numbers    
• Video:Rational and Irrational Numbers
• Video:Plotting basic fractions on the number line
• Video:How to represent irrational numbers on the number line?
• Video:  Pythagorean Theorem: The Spiral of Roots
• Activities (page 15)
• Activities (page 22)

Date of the exam (Martes 13 de octubre)

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Unit 2: Powers, Surds and Logarithms

 Keywords: Power, radical, index, exponent, radicand, surd, root, logarithm, rationalize

• Vocabulary: Powers, Surds and Logarithms
• Video: Exponentiation warmup
• Video: How to rationalize a denominator
• Video: Richter scale (application of logarithms) 
• In this webpage you can review radicals.
• Radical worksheet (with solutions)
• Extra: Would you like to learn more about complex numbers?. If yes click here.

Date of the exam (Miércoles 11 de noviembre)

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Unit 3: Polynomials and Algebraic Fractions

Keywords: coefficient, algebraic, variable, term, independent term, degree, monomial, polynomial, quadratic, cubic, complete, numerical value, similar monomials, remainder, quotient, Ruffini's rule, binomial, trinomial, square, difference, theorem, Pascal's triangle, root, Remainder theorem, Factor theorem, factor, divisor, identities, equivalent, simplification, amplification

•  Vocabulary: Polynomials and Algebraic Fractions
• Polynomial Review Worksheet  with solutions
• How to factorise a polynomial using a powerful online math calculator
• Binomial Worksheet
• Exam of this unit with solutions
• Factoring Worksheet with solutions
• Algebraic Identities 
• All content in Khan Academy

Date of the exam (Viernes 11 de diciembre)

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Unit 4: Equations

 Keywords: equation, solution, unknown, expression, solve, check, verify, by trial and error, exact solution, approximate solution, first-degree or linear equation, second-degree or quadratic equation, term, sides of the equation, simplify, isolate, remove, multiply out, move the terms, brackets, formula, incomplete, constant term, identity, bicuadratic equation, rational equation, radical equation

• Worksheet I: Difference between identity, equation, expression and formula.
• Worksheet II: How many solutions can an equation have?
• Equation calculator online
• Linear equations in Vitutor. Linear word problems
• Quadratic equations in Vitutor. Quadratic word problems
• Biquadratic equations in Vitutor
• Rational equations in Vitutor
• Radical equations in Vitutor
• Solving equations with solutions 
• Strategies in solving mathematical tasks
• Here you have a sample problem that I have already solved in order to help you.

Date of the exam (??)

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Unit 5: Systems of Equations or Simultaneous Equations 

Attention!. In this unit it is compulsory to solve from the exercise 17 until the problem 57

Deadline: best-before date of the exam

• Vocabulary of this unit, including Inequalities
• Theory about systems of equations
• Solving Systems of Equations by the Substitution Method
• Solving Systems of Equations by the Elimination Method
• Graphing Systems of Equations
• Non Linear Equations and Loci
• Non Linear Systems of Equations 
• 10/2/2015 in class
• 13/2/2015 in class
• Word problems
• System of Equations Word Problems

 Date of the exam (??)

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Unit 6: Inequalities and Systems of Inequalities

Attention!. In this unit it is compulsory to solve from the exercise 23 to 58 except the exercises 34, 35, 36 and 37

Deadline: best-before date of the exam

• Vocabulary of this unit from Vitutor
• Solving Inequality Word Questions
• Date of the exam (??)
  

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  Units 7 and 8: Trigonometry

  Attention!. In this unit it is compulsory to solve the following exercises:

  • Unit 7 of your textbook: from 32 to 76
  • Unit 8 of your textbook: from 84 to 109

  Deadline: best-before date of the exam
  

  •  Vocabulary
  • Complet Unit about Trigonometry in Math is Fun 
  • Tema de trigonometría completo en español en Vitutor
  •  Activities

  • Unit of trigonometry in AICLE 
  • Worksheet I: Thales Theorem  (Check your solutions)
  • How to use your calculator in trigonometry?
     

  Date of the exam (26/4/2016)

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Unit 9:Analytic Geometry

"With algebra we see the world with one eye, with geometry the other eye. 

We can thank Decartes for letting us see the world in stereo".

Attention!. In this unit it is compulsory to solve the following exercises:

• From 47 to88

Deadline: best-before date of the exam

• Do you know who Descartes was? 
• Vectors I
• Vectors II
• Vector Problems
• Vocabulary 
• Problems about lines

  Date of the exam (??)

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Units 10 and 11:Functions

Attention!. In this unit it is compulsory to solve the following exercises:

• From 46 to 59 (Unit 10)

• What is a function?
• Complet unit of functions in Vitutor
• Videos about functions
• 12/6/2015 in class

Date of the exam (??)

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RECUPERACIÓN DE JUNIO: Date of the exam (??)
RECUPERACIÓN DE SEPTIEMBRE: Date of the exam (??)