English M.A.T.H.S. book

Efi Filippaki, GülseminTuran, MANUEL GONZÁLEZ MAROTO, BÜLENT IŞIK, --- Italian Team: Nicoletta Bucigni, Stefano Loschi, Monia Mattiacci, Antonella Pignatelli ---, WZ MeSta, 24. 1. 2017

Obsah

  1. ALGEBRA - Polynomials and Equations
    1. GREECE: 1st degree equations
    2. Samsun-Turkey Function
    3. SPAIN Operating with polynomials
  2. ALGEBRA - Numbers and Sequences
    1. ITA - Succession n.2
    2. ITA - Succession with fixed points
    3. ITA - Succession n.1
    4. ITA - Succession n.4
    5. ITA - Succession n.3
    6. ITA - Succession with point of accumulation
    7. ITA - Succession with parameter
    8. TR KAY - Equivalent Fractions
    9. TR KAY - fraction division
    10. TR KAY FRACTIONS
    11. ITA - Product rule
  3. ALGEBRA - Simultaneous Equations
    1. GREECE: Linear 2x2 system (Erasmus+ project M.A.T.H.S.)
    2. GREECE: Linear 2x2 system (graphic)-Erasmus+ project M.A.T.H.S.
    3. GREECE: linear parametric 2x2 system (Erasmus+ project M.A.T.H.S.)
    4. GREECE: A non linear system (M.A.T.H.S. Erasmus+ project)
    5. GREECE: A Non linear system (part 2)
    6. GREECE: A Game - systems (Erasmus+ project M.A.T.H.S.)
    7. GREECE: Non Linear Systems-Game( Erasmus+ M.A.T.H.S.)
    8. Samsun-Turkey Equations
    9. TR KAY - PARABOL
    10. TR KAY -function
    11. TR KAY - 2. Degree Equations
    12. TR KAY - SPEED PROBLEM
    13. SPAIN: Practice solving system of equations 3x3
    14. SPAIN: Systems 2x2
    15. SPAIN: Classifying systems of linear equations
    16. SPAIN: Classifying 3x3 systems of equations
  4. ALGEBRA - Inequalities
    1. España: Sistemas de Inecuaciones.
    2. España: Encuentra las inecuaciones.
    3. España: Inecuaciones de tercer grado.
  5. ANALYSIS - Algebraic Functions
    1. GER factorize second degree function
    2. GER linear function a game
    3. GER train-linear-functions
    4. GER linear function meaning of the parameter
    5. GER second degree function vertex form
    6. GER second degree function normal form
    7. GER linear function meaning of orthogonality
    8. GER second degrees function a game
    9. GREECE: A 2nd degree function-history of Maths..
    10. GREECE: PARABOLA-play and learn (Erasmus+ M.A.T.H.S.)
    11. Samsun-Turkey Matrix Transpose
    12. Samsun-Turkey Multiplication in Matrix
    13. TR KAY - irrationel number
    14. TR KAY - irrational real view
    15. ITA - Homographic Symmetric Function with respect to the X-axis
    16. ITA - Homographic Symmetric Function with respect to the Y-axis
    17. ITA - Homographic Symmetric Function with respect to the Origin
    18. ITA - Polynomial Symmetric Function with respect to the X-axis
    19. ITA - Polynomial Symmetric Function with respect to the Y-axis
    20. ITA - Polynomial Symmetric Function with respect to the Origin
    21. ITA - Symmetric Function with respect to the X-axis
    22. ITA - Symmetric Function with respect to the Y-axis
    23. ITA - Symmetric Function with Respect to the Origin
  6. ANALYSIS - Exponential and Logarithmic Functions
    1. GER characteristics-exponential-function
    2. GREECE: MONOTONY OF THE EXPONENTIAL FUNCTION.
    3. GREECE: horizontal movement of the exponential function.
    4. Grecia: Movimiento vertical de una función exponencial.
    5. GREECE: Math game-Exponential equations(Erasmus+ M.A.T.H.S.)
    6. GREECE:Exp equations-math game (Erasmus+ M.A.T.H.S.)
    7. TURKEY (SAMSUN): Logarithmic and exponential function.
    8. TURKEY (SAMSUN): Logarithm.
    9. TURKEY(Kayseri): logarithmic and exponential function.
  7. GEOMETRY - Analytic Geometry
    1. ITA - Circumference n.3
    2. ITA - Conic Sections
    3. ITA - Circumference n.1
    4. ITA - Circumference n.2
    5. ITA - Cardioid
    6. GER distance-point-line
    7. GER parametric-plane
    8. GER Pyramid-shadow-tip
    9. GER Representation-line-trace-point
    10. GREECE: Hyperbola
    11. GREECE: ellipse
    12. GREECE: line y=ax+b
    13. Samsun-Turkey angle between two dihedrals
    14. Samsun-Turkey Circle4
    15. Samsun-Turkey Conic
    16. Samsun-Turkey Circle- Flag
    17. Samsun-Turkey Pyramid
    18. Samsun-Turkey Quinary Circle
    19. Samsun-Turkey Sphere
    20. Samsun-Turkey Symmetry
    21. Samsun-Turkey Triadic Circle
    22. TR KAY - symmerty 1
    23. TR KAY- median line
    24. TR KAY - symmetry 2
    25. TR KAY - Construcktion
    26. TR KAY - VECTOR 2
    27. TR KAY - VECTOR EXTRACTION
    28. TR KAY - AKA
    29. TR KAY - KAK
    30. TR KAY - 3D Vector
    31. TR KAY - ısoscesel triangele
    32. TR-KAY Triangle
    33. TR KAY - Eqilateral Triangela
    34. TR KAY Cubic Cube
    35. TR KAYCubic Cube 2
    36. SPAIN: Vector equation of a line
    37. SPAIN: Dot product
    38. SPAIN: Area of a triangle using vectors
    39. ITA - Parabolic motion
    40. ITA - Area max
    41. SPAIN Cartesian and Polar Coordinates
    42. TR KAY Trapezoid calculation of the midsole
  8. GEOMETRY - Euclidean Geometry
    1. Italia: Ángulos centrales y en la circunferencia.
    2. Italia: Tangente y secante N-2.
    3. Italia: Teorema de las Cuerdas N-2.
    4. Italia: Teorema de las Cuerdas N-1.
    5. Italia: Ángulos con centro en la circunferencia N-3.
    6. Italia: Teorema de las cuerdas N-4.
    7. Italia: Teorema de la Tangente y Secante N-1.
    8. Italia: Ángulos con centro en la circunferencia N-4.
    9. Italia: Ángulos con centro en la circunferencia N-1.
    10. ITA - Chords Theorem n.3
    11. GREECE: altitudes of a triangle
    12. GREECE: medians and centroid
    13. GREECE:Similarity in trianges (theory-exercise)
    14. GREECE: Similarity in triangles-2 exercises
    15. GREECE: SIMILARITY in triangles-questions
    16. GREECE: SIMILARITY-Thales and Pyramids
    17. Grecia: semejanza de triángulos-3
    18. GREECE: Inscribed quadrilateral- theory
    19. GREECE: Inscribed quadrilateral 1
    20. GREECE: Inscribed quadrilateral 2
    21. GREECE:a math gameI!!(inscribed quadrilateral)
    22. GREECE: parallel lines and Eratosthenes' method
    23. GREECE: Pythagoras' theorem
    24. GREECE: maths game:Pythagoras'theorem, polygons, angles
    25. GREECE: treasure hunt1(geometry-2 locus)
    26. GREECE: bisectors'theorem
    27. GREECE: golden ratio
    28. Samsun-Turkey Angle in Circle
    29. Samsun-Turkey Area in Quadrangle
    30. Samsun-Turkey Bisector in Quadrangle
    31. Samsun-Turkey Drawing Quadrangle
    32. Samsun-Turkey Equilateral Triangle
    33. Samsun-Turkey Line Outside The Circle
    34. Samsun-Turkey Quadrangle with upright diagonal
    35. Samsun-Turkey Thales Area
    36. Samsun-Turkey Thales Theorem
    37. Samsun-Turkey Thales1
    38. TR KAY Triangle Draw
    39. TR KAY - hexagon
    40. TR KAY - resemblance
    41. TR KAY - ısoscesel triangele
    42. TR KAY -triangle angle plus
    43. TR KAY - height
    44. TR KAY - TRASLACİON
    45. TR KAY - TALES THREOM
    46. TR KAY -FİSR SODDY POİNT THEROM
    47. TR KAY Euclid
    48. TR KAY - pisagor thorem
    49. SPAIN Euler line
    50. SPAIN Pythagorean demonstration
    51. TR KAY Square Prism
  9. GEOMETRY - Trigonometry and Circular Functions
    1. GER trigonometric-function
    2. GER function a cos(b(x-c))+d
    3. GER cosine amplide
    4. GER Function Asin(kx+n)
    5. GER cosine-amplide-a-game
    6. GER cosine horizontal translation
    7. GER cosine vertical translation
    8. GER cosine horizontal dilation
    9. GER cosine horizontal dilation a game
    10. GER cosine horizontal translation a game
    11. GER cosine vertical translation a game
    12. GREECE: Trigonometric functions-theory
    13. Samsun-Turkey Triangle
    14. Samsun-Turkey Trigonemetry
    15. TR KAY - rectangle
    16. SPAIN: Trigonometric values do not depend on…
    17. SPAIN: Solving right-angled triangles
    18. SPAIN: Solving non-right-angled triangles
  10. GEOMETRY - Transformations
    1. ITA - draw symmetries
    2. ITA - Decorative tile n.2
    3. ITA - Decorative tile n.1
    4. ITA - Design Your Atistic Tile or Rose Window
    5. ITA - Rotation
    6. Samsun-Turkey Translation in Functions
  11. GAMES - Time for relaxing in English
    1. Spain Tangram Game
    2. Greece_OLympus_Game
  12. ANALYSIS - Differential and Integral Calculus
    1. GER curve sketching
    2. GER volume-of-revolution-vase
    3. GER tangent and his gradient
    4. GER Fermat secant to a tangent
    5. GER 2^x and Gradient
    6. GER graphical differentiation -cos(x)
    7. GER face-function-sin
    8. GER face-function-cos
    9. Samsun-Turkey Area of Integral
    10. Samsun-Turkey Derivative
    11. Samsun-Turkey Integral
    12. TR KAY - max-min-2
    13. TR KAY -max-min-3
    14. TR KAY - integral
    15. TR KAY -BOX V MAX.
    16. TR KAY -max-min-1
    17. TR KAY Limit Concept
    18. GER graphical differentiation a x^4-4x^2+1

1.

ALGEBRA - Polynomials and Equations

  • 1. GREECE: 1st degree equations
  • 2. Samsun-Turkey Function
  • 3. SPAIN Operating with polynomials

1.1.

–

1.2.

–

1.3.

–

2.

ALGEBRA - Numbers and Sequences

  • 1. ITA - Succession n.2
  • 2. ITA - Succession with fixed points
  • 3. ITA - Succession n.1
  • 4. ITA - Succession n.4
  • 5. ITA - Succession n.3
  • 6. ITA - Succession with point of accumulation
  • 7. ITA - Succession with parameter
  • 8. TR KAY - Equivalent Fractions
  • 9. TR KAY - fraction division
  • 10. TR KAY FRACTIONS
  • 11. ITA - Product rule

2.1.

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2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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3.

ALGEBRA - Simultaneous Equations

  • 1. GREECE: Linear 2x2 system (Erasmus+ project M.A.T.H.S.)
  • 2. GREECE: Linear 2x2 system (graphic)-Erasmus+ project M.A.T.H.S.
  • 3. GREECE: linear parametric 2x2 system (Erasmus+ project M.A.T.H.S.)
  • 4. GREECE: A non linear system (M.A.T.H.S. Erasmus+ project)
  • 5. GREECE: A Non linear system (part 2)
  • 6. GREECE: A Game - systems (Erasmus+ project M.A.T.H.S.)
  • 7. GREECE: Non Linear Systems-Game( Erasmus+ M.A.T.H.S.)
  • 8. Samsun-Turkey Equations
  • 9. TR KAY - PARABOL
  • 10. TR KAY -function
  • 11. TR KAY - 2. Degree Equations
  • 12. TR KAY - SPEED PROBLEM
  • 13. SPAIN: Practice solving system of equations 3x3
  • 14. SPAIN: Systems 2x2
  • 15. SPAIN: Classifying systems of linear equations
  • 16. SPAIN: Classifying 3x3 systems of equations

3.1.

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3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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3.10.

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3.11.

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3.12.

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3.13.

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3.14.

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3.15.

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3.16.

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4.

ALGEBRA - Inequalities

  • 1. España: Sistemas de Inecuaciones.
  • 2. España: Encuentra las inecuaciones.
  • 3. España: Inecuaciones de tercer grado.

4.1.

–

4.2.

–

4.3.

–

5.

ANALYSIS - Algebraic Functions

  • 1. GER factorize second degree function
  • 2. GER linear function a game
  • 3. GER train-linear-functions
  • 4. GER linear function meaning of the parameter
  • 5. GER second degree function vertex form
  • 6. GER second degree function normal form
  • 7. GER linear function meaning of orthogonality
  • 8. GER second degrees function a game
  • 9. GREECE: A 2nd degree function-history of Maths..
  • 10. GREECE: PARABOLA-play and learn (Erasmus+ M.A.T.H.S.)
  • 11. Samsun-Turkey Matrix Transpose
  • 12. Samsun-Turkey Multiplication in Matrix
  • 13. TR KAY - irrationel number
  • 14. TR KAY - irrational real view
  • 15. ITA - Homographic Symmetric Function with respect to the X-axis
  • 16. ITA - Homographic Symmetric Function with respect to the Y-axis
  • 17. ITA - Homographic Symmetric Function with respect to the Origin
  • 18. ITA - Polynomial Symmetric Function with respect to the X-axis
  • 19. ITA - Polynomial Symmetric Function with respect to the Y-axis
  • 20. ITA - Polynomial Symmetric Function with respect to the Origin
  • 21. ITA - Symmetric Function with respect to the X-axis
  • 22. ITA - Symmetric Function with respect to the Y-axis
  • 23. ITA - Symmetric Function with Respect to the Origin

5.1.

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5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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5.8.

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5.9.

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5.10.

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5.11.

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5.12.

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5.13.

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5.14.

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5.15.

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5.16.

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5.17.

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5.18.

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5.19.

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5.20.

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5.21.

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5.22.

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5.23.

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6.

ANALYSIS - Exponential and Logarithmic Functions

  • 1. GER characteristics-exponential-function
  • 2. GREECE: MONOTONY OF THE EXPONENTIAL FUNCTION.
  • 3. GREECE: horizontal movement of the exponential function.
  • 4. Grecia: Movimiento vertical de una función exponencial.
  • 5. GREECE: Math game-Exponential equations(Erasmus+ M.A.T.H.S.)
  • 6. GREECE:Exp equations-math game (Erasmus+ M.A.T.H.S.)
  • 7. TURKEY (SAMSUN): Logarithmic and exponential function.
  • 8. TURKEY (SAMSUN): Logarithm.
  • 9. TURKEY(Kayseri): logarithmic and exponential function.

6.1.

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6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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6.8.

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6.9.

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7.

GEOMETRY - Analytic Geometry

  • 1. ITA - Circumference n.3
  • 2. ITA - Conic Sections
  • 3. ITA - Circumference n.1
  • 4. ITA - Circumference n.2
  • 5. ITA - Cardioid
  • 6. GER distance-point-line
  • 7. GER parametric-plane
  • 8. GER Pyramid-shadow-tip
  • 9. GER Representation-line-trace-point
  • 10. GREECE: Hyperbola
  • 11. GREECE: ellipse
  • 12. GREECE: line y=ax+b
  • 13. Samsun-Turkey angle between two dihedrals
  • 14. Samsun-Turkey Circle4
  • 15. Samsun-Turkey Conic
  • 16. Samsun-Turkey Circle- Flag
  • 17. Samsun-Turkey Pyramid
  • 18. Samsun-Turkey Quinary Circle
  • 19. Samsun-Turkey Sphere
  • 20. Samsun-Turkey Symmetry
  • 21. Samsun-Turkey Triadic Circle
  • 22. TR KAY - symmerty 1
  • 23. TR KAY- median line
  • 24. TR KAY - symmetry 2
  • 25. TR KAY - Construcktion
  • 26. TR KAY - VECTOR 2
  • 27. TR KAY - VECTOR EXTRACTION
  • 28. TR KAY - AKA
  • 29. TR KAY - KAK
  • 30. TR KAY - 3D Vector
  • 31. TR KAY - ısoscesel triangele
  • 32. TR-KAY Triangle
  • 33. TR KAY - Eqilateral Triangela
  • 34. TR KAY Cubic Cube
  • 35. TR KAYCubic Cube 2
  • 36. SPAIN: Vector equation of a line
  • 37. SPAIN: Dot product
  • 38. SPAIN: Area of a triangle using vectors
  • 39. ITA - Parabolic motion
  • 40. ITA - Area max
  • 41. SPAIN Cartesian and Polar Coordinates
  • 42. TR KAY Trapezoid calculation of the midsole

7.1.

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7.2.

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7.3.

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7.4.

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7.5.

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7.6.

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7.7.

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7.8.

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7.9.

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7.10.

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7.11.

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7.12.

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7.13.

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7.14.

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7.15.

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7.16.

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7.17.

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7.18.

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7.19.

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7.20.

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7.21.

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7.22.

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7.23.

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7.24.

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7.25.

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7.26.

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7.27.

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7.28.

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7.29.

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7.30.

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7.31.

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7.32.

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7.33.

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7.34.

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7.35.

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7.36.

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7.37.

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7.38.

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7.39.

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7.40.

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7.41.

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7.42.

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8.

GEOMETRY - Euclidean Geometry

  • 1. Italia: Ángulos centrales y en la circunferencia.
  • 2. Italia: Tangente y secante N-2.
  • 3. Italia: Teorema de las Cuerdas N-2.
  • 4. Italia: Teorema de las Cuerdas N-1.
  • 5. Italia: Ángulos con centro en la circunferencia N-3.
  • 6. Italia: Teorema de las cuerdas N-4.
  • 7. Italia: Teorema de la Tangente y Secante N-1.
  • 8. Italia: Ángulos con centro en la circunferencia N-4.
  • 9. Italia: Ángulos con centro en la circunferencia N-1.
  • 10. ITA - Chords Theorem n.3
  • 11. GREECE: altitudes of a triangle
  • 12. GREECE: medians and centroid
  • 13. GREECE:Similarity in trianges (theory-exercise)
  • 14. GREECE: Similarity in triangles-2 exercises
  • 15. GREECE: SIMILARITY in triangles-questions
  • 16. GREECE: SIMILARITY-Thales and Pyramids
  • 17. Grecia: semejanza de triángulos-3
  • 18. GREECE: Inscribed quadrilateral- theory
  • 19. GREECE: Inscribed quadrilateral 1
  • 20. GREECE: Inscribed quadrilateral 2
  • 21. GREECE:a math gameI!!(inscribed quadrilateral)
  • 22. GREECE: parallel lines and Eratosthenes' method
  • 23. GREECE: Pythagoras' theorem
  • 24. GREECE: maths game:Pythagoras'theorem, polygons, angles
  • 25. GREECE: treasure hunt1(geometry-2 locus)
  • 26. GREECE: bisectors'theorem
  • 27. GREECE: golden ratio
  • 28. Samsun-Turkey Angle in Circle
  • 29. Samsun-Turkey Area in Quadrangle
  • 30. Samsun-Turkey Bisector in Quadrangle
  • 31. Samsun-Turkey Drawing Quadrangle
  • 32. Samsun-Turkey Equilateral Triangle
  • 33. Samsun-Turkey Line Outside The Circle
  • 34. Samsun-Turkey Quadrangle with upright diagonal
  • 35. Samsun-Turkey Thales Area
  • 36. Samsun-Turkey Thales Theorem
  • 37. Samsun-Turkey Thales1
  • 38. TR KAY Triangle Draw
  • 39. TR KAY - hexagon
  • 40. TR KAY - resemblance
  • 41. TR KAY - ısoscesel triangele
  • 42. TR KAY -triangle angle plus
  • 43. TR KAY - height
  • 44. TR KAY - TRASLACİON
  • 45. TR KAY - TALES THREOM
  • 46. TR KAY -FİSR SODDY POİNT THEROM
  • 47. TR KAY Euclid
  • 48. TR KAY - pisagor thorem
  • 49. SPAIN Euler line
  • 50. SPAIN Pythagorean demonstration
  • 51. TR KAY Square Prism

8.1.

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8.2.

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8.3.

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8.4.

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8.5.

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8.6.

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8.7.

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8.8.

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8.9.

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8.10.

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8.11.

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8.12.

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8.13.

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8.14.

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8.15.

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8.16.

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8.17.

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8.18.

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8.19.

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8.20.

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8.21.

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8.22.

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8.23.

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8.24.

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8.25.

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8.26.

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8.27.

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8.28.

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8.29.

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8.30.

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8.31.

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8.32.

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8.33.

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8.34.

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8.35.

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8.36.

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8.37.

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8.38.

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8.39.

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8.40.

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8.41.

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8.42.

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8.43.

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8.44.

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8.45.

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8.46.

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8.47.

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8.48.

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8.49.

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8.50.

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8.51.

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9.

GEOMETRY - Trigonometry and Circular Functions

  • 1. GER trigonometric-function
  • 2. GER function a cos(b(x-c))+d
  • 3. GER cosine amplide
  • 4. GER Function Asin(kx+n)
  • 5. GER cosine-amplide-a-game
  • 6. GER cosine horizontal translation
  • 7. GER cosine vertical translation
  • 8. GER cosine horizontal dilation
  • 9. GER cosine horizontal dilation a game
  • 10. GER cosine horizontal translation a game
  • 11. GER cosine vertical translation a game
  • 12. GREECE: Trigonometric functions-theory
  • 13. Samsun-Turkey Triangle
  • 14. Samsun-Turkey Trigonemetry
  • 15. TR KAY - rectangle
  • 16. SPAIN: Trigonometric values do not depend on…
  • 17. SPAIN: Solving right-angled triangles
  • 18. SPAIN: Solving non-right-angled triangles

9.1.

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9.2.

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9.3.

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9.4.

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9.5.

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9.6.

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9.7.

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9.8.

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9.9.

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9.10.

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9.11.

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9.12.

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9.13.

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9.14.

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9.15.

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9.16.

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9.17.

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9.18.

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10.

GEOMETRY - Transformations

  • 1. ITA - draw symmetries
  • 2. ITA - Decorative tile n.2
  • 3. ITA - Decorative tile n.1
  • 4. ITA - Design Your Atistic Tile or Rose Window
  • 5. ITA - Rotation
  • 6. Samsun-Turkey Translation in Functions

10.1.

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10.2.

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10.3.

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10.4.

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10.5.

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10.6.

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11.

GAMES - Time for relaxing in English

  • 1. Spain Tangram Game
  • 2. Greece_OLympus_Game

11.1.

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11.2.

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12.

ANALYSIS - Differential and Integral Calculus

  • 1. GER curve sketching
  • 2. GER volume-of-revolution-vase
  • 3. GER tangent and his gradient
  • 4. GER Fermat secant to a tangent
  • 5. GER 2^x and Gradient
  • 6. GER graphical differentiation -cos(x)
  • 7. GER face-function-sin
  • 8. GER face-function-cos
  • 9. Samsun-Turkey Area of Integral
  • 10. Samsun-Turkey Derivative
  • 11. Samsun-Turkey Integral
  • 12. TR KAY - max-min-2
  • 13. TR KAY -max-min-3
  • 14. TR KAY - integral
  • 15. TR KAY -BOX V MAX.
  • 16. TR KAY -max-min-1
  • 17. TR KAY Limit Concept
  • 18. GER graphical differentiation a x^4-4x^2+1

12.1.

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12.2.

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12.3.

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12.4.

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12.5.

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12.6.

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12.7.

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12.8.

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12.9.

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12.10.

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12.11.

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12.12.

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12.13.

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12.14.

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12.15.

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12.16.

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12.17.

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12.18.

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Informace