Introduction  Appetizer  Examples  Documentation  Applications  Work plan

 

Work plan

During the next few months, in the P.N.T.I.C, the following contents of Mathematics of Secondary Teaching are going to be developed.   Furthermore, it is attempted to compile all the applications which the teachers develop, who want to publish them in the central server of the Internet of P.N.T.I.C. to offer them to all the educational community.             

The objective is that, on starting next academic year 1999/2000, the teachers can have at their disposal a numerous collection of maths lessons with activities which allow them to deal with the majority of the subjects which have graphic aspects or that are susceptible to being expressed graphically in a Cartesian coordinate system.        

The lessons can be used as applications which the pupils will be able to use directly on the computer or else they will be used as help the teacher in his/her presentations and to introduce subjects or to clarify concepts.     

Primer ciclo de E.S.O.  
(First year of Obligatory Secondary Education)

Tercero de E.S.O.
(Third year of Obligatory Secondary Education)

Cuarto de E.S.O. opción A
(Fourth year of Obligatory Secondary Education - Option A)

Cuarto de E.S.O. opción B
(Fourth year of Obligatory Secondary Education - Option B)

Primero de Bachillerato de HH. y CC. SS.
(First year of GCSE in Humanities and Social Sciences)

Segundo de Bachillerato de HH. y CC. SS. 
(Second year of GCSE in Humanities and Social Sciences)

Primero de Bachillerato de CC. N. S. 
(First year of GCSE in Natural sciences and health)

Segundo de Bachillerato de CC. N. S. 
(Second year of GCSE in Natural sciences and health)

Primer ciclo de Enseñanza Secundaria Obligatoria 
(First year of Obligatory Secondary Education)

  1. Quadrilaterals.
  2. Triangles
  3. Regular polygons and circles.
  4. Measurement of angles.
  5. Representation of numbers on a straight line.
  6. Interpretation of graphs.
  7. Functions. The function of proportionality.
  8. Percentages and indices.
  9. Powers and roots.
  10. Geometric solution to equations.
  11. Pythagoras´ theorem.

Segundo ciclo de Enseñanza Secundaria Obligatoria
(Second year of Obligatory Secondary Education)

3º de ESO

  1. Fractions, decimals and percentages.
  2. Powers.
  3. Numeric and geometric regularities.
  4. First degree equations.  Solution of problems.
  5. Graphs. Verbal expression and graphical expression.
  6. Tables and algebraic expressions.
  7. Chance and probability.
  8. Geometric figures of the plane.
  9. Measurements of polygons.
  10. Similarity. Movements at a plane.
  11. Trigonometric ratios

4º de ESO opción A  
(Fourth year of Obligatory Secondary Education - Option A)

  1. Powers of the whole number exponent..
  2. Approximation in calculation and measurements.
  3. Control of errors.
  4. Units of measurement.
  5. Representation of scale.
  6. Geometric proportionality.
  7. Properties of conics. Representation.
  8. Relationships between geometric figures on the plane.
  9. Movements on the plane.
  10. The language of functions.
  11. Representation and interpretation of graphs.
  12. Laws of probablility.

4º de ESO opción B  
(Fourth year of Obligatory Secondary Education - optionB) 

  1. Fractions, decimals and percentages.
  2. Representation on the straight line.
  3. Approximation and estimation of quantities.  Errors.
  4. The rational number.
  5. Calculus.  Priority of operations.
  6. Systems of linear equations. Graphic and algebraic resolution.
  7. Second degree equation. Graphic and algebraic solution.
  8. Movements on a plane.
  9. Similarity and  homothetic transformations.
  10. Trigonometric ratios in a right angled triangle.
  11. Solution of right angled triangles.
  12. Plane sections of round shapes.
  13. Conics as locus. Drawn.
  14. Interpretation of functions.
  15. Graphic study of global characteristics of a function.
  16. Rate of average variation.
  17. Study of some types of functions:linear, quadratic and exponential.
  18. Study of some families of functions
  19. Random experiments.

Bachillerato de la modalidad de Humanidades y Ciencias Sociales
(GCSE in Humanities and Social Sciences)

Primer curso (First year)

  1. Arithmetic and geometric progressions.
  2. Second degree equations. Graphic interpretation.
  3. The parabola.
  4. Systems of equations.
  5. Inequalitues.
  6. Functions.
  7. Ways of defining a function.
  8. Continuity.
  9. Limit at a point.
  10. Asymptotes.
  11. Types of functions.
  12. Operations with functions.
  13. Inverse functions.
  14. The exponential and logarithmic function.
  15. Study of the growth of a function.
  16. Derivative of a function at a point.
  17. The derivative function.

Segundo curso  (Second year)

  1. Limits of series and functions.
  2. Continuity. Classification of discontinuities.
  3. Properties of continuous functions.
  4. Bolzano and Weierstrass´ theorems.
  5. Derivatives. Geometric interpretations.
  6. Lateral derivatives.
  7. Fundamental theorem of differential calculus.
  8. Applications of the derivative.
  9. Characteristic, critical and unique points.
  10. Primitives and indefinite integral. Geometric interpretation. Properties.
  11. Distribution of continuous probability.
  12. Normal distribution.
  13. Inference statistics.

Bachillerato de la modalidad de Ciencias de la Naturaleza y de la Salud
(GCSE in Natural sciences and Health)

Primer curso (First year)

  1. Equations, systems and inequalities.
  2. Polynomials.
  3. Equations and exponential and logarithmic systems.
  4. Trigonometric ratios. Operations. Identities and equations.
  5. Solution of triangles. Theorems.
  6. Vectors on the plane. Equations of a straight line.
  7. Analytic geometry.
  8. Afine, metric and locus properties.
  9. Complex numbers. Shapes, representation and operations.
  10. Family of functions. Types and operations.
  11. Limits and continuity of functions.
  12. Asymptotes.
  13. Derivatives. Applications. Optimization.
  14. Representation of curves.
  15. The area function. Primitives. Applications of the integral.
  16. Probability distributions.

Segundo curso    (Second year)

  1. Systems of linear equations, graphic interpretation. Classification.
  2. Locus and conics.
  3. Limits of series and functions.
  4. Continuity. Classification of discontinuities.
  5. Properties of continuous functions.
  6. Bolzano and Weierstrass´ theorems.
  7. Derivatives.
  8. Geometric interpretation of the derivative.
  9. Lateral derivatives.
  10. Fundamental theorems of differential calculus.
  11. Applications of the derivative.
  12. Characteristic, critical and unique points.
  13. Procedure of analysing a function.
  14. Geometric applications and others.
  15. Primitives and indefinite integrals.
  16. Geometric interpretation of the integral.
  17. Properties of the integral.

 

Introduction  Appetizer  Examples  Documentation  Applications  Work plan                

 
Ministerio de Educación, Cultura y Deporte. Año 2000