Interactive Mathematics

Rasha Tarek, Jul 4, 2015

[color=#c51414]Hello Mathematicians!!![/color] This book contains a collection of [color=#1551b5][i]some[/i][/color] of my dynamic worksheets. Make sure to check back regularly for new materials. [color=#c51414]Enjoy.[/color]

Table of Contents

  1. Calculus
    1. Double Integral Volume
    2. Surface of Area of Revolution-Parametric
    3. Surface Area of Solids of Revolutions
    4. Spatial Motion Examples
    5. Helix
    6. Vector Function for a Line
    7. Lagrange Error Bound
    8. Geometric Series Visual
    9. Power Series Intro
    10. Taylor Polynomials
    11. Sequences and Series
    12. Polar Area
    13. Area Between Polar Curves
    14. Shells
    15. Solids of Revolution
    16. Solids with Known Cross Sections
    17. Slope Fields_Euler
    18. Slope Fields
    19. Riemann's Sums
    20. Related Rates_Boat
    21. Related Rates_Ladder
    22. The Mean Value Theorem
    23. Derivative of Inverse Functions
    24. Intermediate Value Theorem
    25. The Derivative
    26. The Difference Quotient
  2. Pre-Calculus
    1. Functions Transformations
    2. Writing Rational Functions
    3. Practice Writing Rational Functions
    4. Approximation of e
    5. Properties of Logarithms
    6. Radian Definition
    7. Latitude-Longitude-Distance
    8. The Unit Circle
    9. Practice Trig Ratios
    10. Unit Circle vs Sinusoidal Graphs
    11. Equations of Sinusoidals Practice
    12. Discovery of The Inverse Trig Functions
    13. Inverse Sine
    14. Inverse Cosine
    15. The Arccotangent Function
    16. The Cosecant Inverse Function
    17. The Secant Inverse Function
    18. The Ambiguous Case of the Law of Sines
    19. Polar/Rectangular Connection
    20. Polar Coordinates Practice
    21. Polar Graphs
    22. Orthogonal Projection
    23. Polar Equations Grapher
    24. Parametric Equations Grapher
    25. Parametrics/Butterfly
    26. The Ferris Wheel
    27. Euler Formula
    28. HMT & Magnitude
    29. Resolving a 2D Vector
    30. Vector Projection
    31. Dot Product
  3. Algebra
    1. Domain & Range Demo
    2. Slope and Function Notation Practice
    3. Functions Rigid Transformations
    4. Non-Rigid Transformations (No Reflections)
    5. Functions Transformations
    6. Ellipse
    7. Hyperbola
  4. Geometry
    1. Pythagorean Theorem Visual Proof
    2. The Pythagorean Theorem
    3. Pythagorean Theorem Converse
    4. Space Diagonal Illustration
    5. Circumference of a Circle
    6. Area of a Circle Investigation
    7. Arc Length and Sector Area
    8. Square Yards to Square Feet
    9. Cubic Yards into Cubic Feet
    10. Prism Net View
    11. Rectangular Prism Net
    12. Net of s Cylinder
    13. Pyramid Net (Regular Polygon Base)
    14. Volume of Prisms
    15. Volume of Pyramids
    16. Angle Addition Postulate Practice-2
    17. Vertical Angles and Linear Pairs
    18. Two Lines Cut by a Transversal
    19. Triangle Similarity Shortcuts
    20. Perimeters and Areas of Similar Polygons
    21. Volumes of Similar Polyhedra
    22. Triangle Inequality Theorem
    23. Special Right Triangles
    24. Central vs. Inscribed Angles
    25. Interior and Exterior Angles of Polygons
    26. The Rolling Cup
    27. Parallel Lines Cut by a Transversal-Part 1
    28. Parallel Lines Cut by a Transversal-Part 2
    29. Parallel Lines Cut by a Transversal-Part 3
    30. Parallel Lines Cut by a Transversal-Part 4
    31. Parallel Lines Cut by a Transversal-Part 5
    32. Triangle Sum Theorem
    33. The Exterior Angle Theorem
    34. Base Angles Theorem
    35. Similarity
    36. Translations
    37. Reflections
    38. Rotations
    39. Volume of Pyramids Compared to Prisms
  5. Holiday Fun
    1. Christmas Tree
    2. Menorah
    3. Cupid

1.

Calculus

  • 1. Double Integral Volume
  • 2. Surface of Area of Revolution-Parametric
  • 3. Surface Area of Solids of Revolutions
  • 4. Spatial Motion Examples
  • 5. Helix
  • 6. Vector Function for a Line
  • 7. Lagrange Error Bound
  • 8. Geometric Series Visual
  • 9. Power Series Intro
  • 10. Taylor Polynomials
  • 11. Sequences and Series
  • 12. Polar Area
  • 13. Area Between Polar Curves
  • 14. Shells
  • 15. Solids of Revolution
  • 16. Solids with Known Cross Sections
  • 17. Slope Fields_Euler
  • 18. Slope Fields
  • 19. Riemann's Sums
  • 20. Related Rates_Boat
  • 21. Related Rates_Ladder
  • 22. The Mean Value Theorem
  • 23. Derivative of Inverse Functions
  • 24. Intermediate Value Theorem
  • 25. The Derivative
  • 26. The Difference Quotient

1.1.

Double Integral Volume

– Rasha Tarek

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

1.8.

–

1.9.

–

1.10.

–

1.11.

–

1.12.

–

1.13.

–

1.14.

–

1.15.

–

1.16.

–

1.17.

–

1.18.

–

1.19.

–

1.20.

–

1.21.

–

1.22.

–

1.23.

–

1.24.

–

1.25.

–

1.26.

–

2.

Pre-Calculus

  • 1. Functions Transformations
  • 2. Writing Rational Functions
  • 3. Practice Writing Rational Functions
  • 4. Approximation of e
  • 5. Properties of Logarithms
  • 6. Radian Definition
  • 7. Latitude-Longitude-Distance
  • 8. The Unit Circle
  • 9. Practice Trig Ratios
  • 10. Unit Circle vs Sinusoidal Graphs
  • 11. Equations of Sinusoidals Practice
  • 12. Discovery of The Inverse Trig Functions
  • 13. Inverse Sine
  • 14. Inverse Cosine
  • 15. The Arccotangent Function
  • 16. The Cosecant Inverse Function
  • 17. The Secant Inverse Function
  • 18. The Ambiguous Case of the Law of Sines
  • 19. Polar/Rectangular Connection
  • 20. Polar Coordinates Practice
  • 21. Polar Graphs
  • 22. Orthogonal Projection
  • 23. Polar Equations Grapher
  • 24. Parametric Equations Grapher
  • 25. Parametrics/Butterfly
  • 26. The Ferris Wheel
  • 27. Euler Formula
  • 28. HMT & Magnitude
  • 29. Resolving a 2D Vector
  • 30. Vector Projection
  • 31. Dot Product

2.1.

Functions Transformations

– Rasha Tarek

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

2.9.

–

2.10.

–

2.11.

–

2.12.

–

2.13.

–

2.14.

–

2.15.

–

2.16.

–

2.17.

–

2.18.

–

2.19.

–

2.20.

–

2.21.

–

2.22.

–

2.23.

–

2.24.

–

2.25.

–

2.26.

–

2.27.

–

2.28.

–

2.29.

–

2.30.

–

2.31.

–

3.

Algebra

  • 1. Domain & Range Demo
  • 2. Slope and Function Notation Practice
  • 3. Functions Rigid Transformations
  • 4. Non-Rigid Transformations (No Reflections)
  • 5. Functions Transformations
  • 6. Ellipse
  • 7. Hyperbola

3.1.

Domain & Range Demo

– Rasha Tarek

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

4.

Geometry

  • 1. Pythagorean Theorem Visual Proof
  • 2. The Pythagorean Theorem
  • 3. Pythagorean Theorem Converse
  • 4. Space Diagonal Illustration
  • 5. Circumference of a Circle
  • 6. Area of a Circle Investigation
  • 7. Arc Length and Sector Area
  • 8. Square Yards to Square Feet
  • 9. Cubic Yards into Cubic Feet
  • 10. Prism Net View
  • 11. Rectangular Prism Net
  • 12. Net of s Cylinder
  • 13. Pyramid Net (Regular Polygon Base)
  • 14. Volume of Prisms
  • 15. Volume of Pyramids
  • 16. Angle Addition Postulate Practice-2
  • 17. Vertical Angles and Linear Pairs
  • 18. Two Lines Cut by a Transversal
  • 19. Triangle Similarity Shortcuts
  • 20. Perimeters and Areas of Similar Polygons
  • 21. Volumes of Similar Polyhedra
  • 22. Triangle Inequality Theorem
  • 23. Special Right Triangles
  • 24. Central vs. Inscribed Angles
  • 25. Interior and Exterior Angles of Polygons
  • 26. The Rolling Cup
  • 27. Parallel Lines Cut by a Transversal-Part 1
  • 28. Parallel Lines Cut by a Transversal-Part 2
  • 29. Parallel Lines Cut by a Transversal-Part 3
  • 30. Parallel Lines Cut by a Transversal-Part 4
  • 31. Parallel Lines Cut by a Transversal-Part 5
  • 32. Triangle Sum Theorem
  • 33. The Exterior Angle Theorem
  • 34. Base Angles Theorem
  • 35. Similarity
  • 36. Translations
  • 37. Reflections
  • 38. Rotations
  • 39. Volume of Pyramids Compared to Prisms

4.1.

Pythagorean Theorem Visual Proof

– Rasha Tarek

4.2.

–

4.3.

–

4.4.

–

4.5.

–

4.6.

–

4.7.

–

4.8.

–

4.9.

–

4.10.

–

4.11.

–

4.12.

–

4.13.

–

4.14.

–

4.15.

–

4.16.

–

4.17.

–

4.18.

–

4.19.

–

4.20.

–

4.21.

–

4.22.

–

4.23.

–

4.24.

–

4.25.

–

4.26.

–

4.27.

–

4.28.

–

4.29.

–

4.30.

–

4.31.

–

4.32.

–

4.33.

–

4.34.

–

4.35.

–

4.36.

–

4.37.

–

4.38.

–

4.39.

–

5.

Holiday Fun

  • 1. Christmas Tree
  • 2. Menorah
  • 3. Cupid

5.1.

Christmas Tree

– Rasha Tarek

5.2.

–

5.3.

–

Information