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

Efi Filippaki, GülseminTuran, MANUEL GONZÁLEZ MAROTO, BÜLENT IŞIK, 2016. 12. 14.

maths

차례

  1. ALGEBRA - Polynomials and Equations
    1. GREECE: 1st degree equations
    2. Samsun-Turkey Function
  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
  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
  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 - KKK
    31. TR KAY - 3D Vector
    32. TR KAY - ısoscesel triangele
    33. TR KAY - triangle angle plus
    34. TR-KAY Triangle
    35. TR KAY - Eqilateral Triangela
    36. TR KAY Cubic Cube
    37. TR KAYCubic Cube 2
    38. SPAIN: Vector equation of a line
    39. SPAIN: Dot product
    40. SPAIN: Area of a triangle using vectors
  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
  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. Samsun-Turkey Translation in Functions
  11. STATISTICS and PROBABILITY
  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

1.

ALGEBRA - Polynomials and Equations

  • 1. GREECE: 1st degree equations
  • 2. Samsun-Turkey Function

1.1.

–

1.2.

–

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

2.1.

–

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

2.9.

–

2.10.

–

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.

–

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

3.8.

–

3.9.

–

3.10.

–

3.11.

–

3.12.

–

3.13.

–

3.14.

–

3.15.

–

3.16.

–

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

5.1.

–

5.2.

–

5.3.

–

5.4.

–

5.5.

–

5.6.

–

5.7.

–

5.8.

–

5.9.

–

5.10.

–

5.11.

–

5.12.

–

5.13.

–

5.14.

–

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.

–

6.2.

–

6.3.

–

6.4.

–

6.5.

–

6.6.

–

6.7.

–

6.8.

–

6.9.

–

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 - KKK
  • 31. TR KAY - 3D Vector
  • 32. TR KAY - ısoscesel triangele
  • 33. TR KAY - triangle angle plus
  • 34. TR-KAY Triangle
  • 35. TR KAY - Eqilateral Triangela
  • 36. TR KAY Cubic Cube
  • 37. TR KAYCubic Cube 2
  • 38. SPAIN: Vector equation of a line
  • 39. SPAIN: Dot product
  • 40. SPAIN: Area of a triangle using vectors

7.1.

–

7.2.

–

7.3.

–

7.4.

–

7.5.

–

7.6.

–

7.7.

–

7.8.

–

7.9.

–

7.10.

–

7.11.

–

7.12.

–

7.13.

–

7.14.

–

7.15.

–

7.16.

–

7.17.

–

7.18.

–

7.19.

–

7.20.

–

7.21.

–

7.22.

–

7.23.

–

7.24.

–

7.25.

–

7.26.

–

7.27.

–

7.28.

–

7.29.

–

7.30.

–

7.31.

–

7.32.

–

7.33.

–

7.34.

–

7.35.

–

7.36.

–

7.37.

–

7.38.

–

7.39.

–

7.40.

–

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

8.1.

–

8.2.

–

8.3.

–

8.4.

–

8.5.

–

8.6.

–

8.7.

–

8.8.

–

8.9.

–

8.10.

–

8.11.

–

8.12.

–

8.13.

–

8.14.

–

8.15.

–

8.16.

–

8.17.

–

8.18.

–

8.19.

–

8.20.

–

8.21.

–

8.22.

–

8.23.

–

8.24.

–

8.25.

–

8.26.

–

8.27.

–

8.28.

–

8.29.

–

8.30.

–

8.31.

–

8.32.

–

8.33.

–

8.34.

–

8.35.

–

8.36.

–

8.37.

–

8.38.

–

8.39.

–

8.40.

–

8.41.

–

8.42.

–

8.43.

–

8.44.

–

8.45.

–

8.46.

–

8.47.

–

8.48.

–

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.

–

9.2.

–

9.3.

–

9.4.

–

9.5.

–

9.6.

–

9.7.

–

9.8.

–

9.9.

–

9.10.

–

9.11.

–

9.12.

–

9.13.

–

9.14.

–

9.15.

–

9.16.

–

9.17.

–

9.18.

–

10.

GEOMETRY - Transformations

  • 1. ITA - draw symmetries
  • 2. ITA - Decorative tile n.2
  • 3. ITA - Decorative tile n.1
  • 4. Samsun-Turkey Translation in Functions

10.1.

–

10.2.

–

10.3.

–

10.4.

–

11.

STATISTICS and PROBABILITY


    이 장은 자료를 포함하고 있지 않습니다.

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

12.1.

–

12.2.

–

12.3.

–

12.4.

–

12.5.

–

12.6.

–

12.7.

–

12.8.

–

12.9.

–

12.10.

–

12.11.

–

12.12.

–

12.13.

–

12.14.

–

12.15.

–

12.16.

–

정보