차례

1. MAFS.912.G-GPE.1.1
   1. Circle Equation: Center (0,0)
   2. Circle Equation: Center NOT (0,0)
   3. Animation 200
   4. Circle Equation: Center (h,k)
   5. Equation & Graph of a Circle
2. MAFS.912.G-GPE.2.4
   1. Parallelogram Creation Exercises (I)
   2. Parallelogram Creation Exercise (II)
   3. Parallelogram Creation Exercise (III)
   4. Parallelogram: Coordinate Geometry Setup
   5. Parallelogram Diagonals
   6. Isosceles Triangle Medians
   7. Rectangle Diagonals
   8. Isosceles Trapezoid Diagonals
   9. Isosceles Trapezoid Midpoints
   10. Rhombus Diagonals
   11. Inscribed Angle Intercepts Semicircle
   12. 3 Special Points!
   13. Finsler-Hadwiger Exercise (VA)
   14. Finsler-Hadwiger Exercise (VB)
   15. Slope to Angle Measure Calculator (I)
   16. Slope to Angle Measure Calculator (II)
3. MAFS.912.G-GPE.2.5
   1. Rise & Run (Revamped)
   2. Rise & Run
   3. Slope Illustrator
   4. Slope: Intuitive Introduction (II)
   5. Slope: Intuitive Intro and Exploration
   6. Parallel Consequence? (VA)
   7. Parallel Consequence? (VB)
   8. Parallel Lines in the Coordinate Plane (VA)
   9. Parallel Lines in the Coordinate Plane (VB)
   10. Coordinate Geometry: Quick Investigation
   11. Parallel and Perpendicular Lines in the Coordinate Plane
   12. Perpendicular Lines Investigation (VA)
   13. Perpendicular Lines Investigation (VB)
   14. Slope Triangle Rotation (VA)
   15. Animation 103
   16. Parallel & Perpendicular Consequence
   17. Parallel Lines Definition
   18. Perpendicular Lines Definition (& Consequence)
   19. Writing Equations of Parallel and Perpendicular Lines
4. MAFS.912.G-GPE.2.6
   1. Midpoint and Endpoint Coordinates Action!
   2. Midpoint Coordinates (II)
   3. Animation 173
   4. Animation 174
   5. Endpoint (x,y) of a Segment Given Midpoint & Other Endpoint
   6. Midpoint (x,y) of a Segment in the Coordinate Plane (Quiz)
   7. Partition Line Segments
5. MAFS.912.G-GPE.2.7
   1. Distance in the Coordinate Plane (With Hints)
   2. Distance in the Coordinate Plane (II)
   3. Distance in the Coordinate Plane (III)
   4. Distance in the Coordinate Plane (Quiz without Grid)
   5. Distance in the Coordinate Plane (Quiz With Grid)
6. MAFS.912.G-C.1.1
   1. Congruent Circles: Definition
   2. Animation 89
   3. Similar Circles?
7. MAFS.912.G-C.1.2
   1. Circle Terminology
   2. Circle Tangent-Types Illustrator
   3. Properties of Tangents Drawn to Circles (A)
   4. Properties of Tangents Drawn to Circles (B)
   5. Animation 3
   6. Tangents to Circles: Investigation
   7. Where to Sit? (I)
   8. Where to Sit (II)?
   9. Inscribed Angle Theorem (V1)
   10. Animation 12
   11. Inscribed Angle Theorem: Take 2!
   12. Inscribed Angle Theorems: Take 3!
   13. Proof Exercise: Inscribed Angle Theorem (Case 1)
   14. Proof Exercise: Inscribed Angle Theorem (Case 2)
   15. Proof Exercise: Inscribed Angle Theorem (Case 3)
   16. Inscribed Angle Theorems: Take 4!
   17. Inscribed Angle Theorem: Corollary 1
   18. Animation 20 (Inscribed Angle Dance!)
   19. Thales' Theorem (VA)
   20. Animation 116
   21. Thales' Theorem (VB)
   22. Animation 54
   23. Angle Formed by Chord & Tangent (I)
   24. Animation 50
   25. Angle Formed by Chord & Tangent (II)
   26. Animation 78
   27. Congruent Chords: Quick Investigation
   28. Congruent Chords (I)
   29. Animation 76
   30. Diameters & Chords I (VA)
   31. Diameters & Chords I (VB)
   32. Animation 24
   33. Congruent Chords Action (A)
   34. Animation 96
   35. Equidistant Chord Action
   36. Animation 101
   37. Angle Formed by 2 Chords (I)
   38. Animation 32
   39. Angle Formed by 2 Chords (II)
   40. Animation 33
   41. Angles from Secants and Tangents (V1)
   42. Animation 61
   43. Angle From 2 Secants (V2)
   44. Animation 45
   45. Crossing Chords: Proof Hint
   46. Animation 79
   47. Crossing Chords Property & Proof Start
   48. Crossing Chords Property & Proof Start (II)
   49. Secants: Proof Hint
   50. Animation 88
   51. Animation 92
8. MAFS.912.G-C.1.3
   1. Circumcircle: Construction Exercise (VA)
   2. Circumcircle: Construction Exercise (VB)
   3. Circumcircle: Construction Exercise (VC)
   4. Incircle: Construction Exercise (VA)
   5. Incircle: Construction Exercise (VB)
   6. Cyclic Quadrilaterals (IAT: Corollary 3)
   7. Animation 43
   8. Where in NYC? (VA)
   9. Where in NYC? (VB)
   10. Where in NYC? (VC)
9. MAFS.912.G-C.2.5
   1. Radius Unwrapper v2.0
   2. 1 Radian: Clear Definition
   3. Movie: Radians to Revs
   4. Arc length: Quick Investigation
   5. Area of a Sector
   6. Arc Length and Area of a Sector (V1)
   7. Arc Length and Area of a Sector (V2)
10. MAFS.912.G-CO.1.1
    1. Congruent Segments: Quick Exploration
    2. Animation 18
    3. Proving Segments Congruent (Exercise)
    4. Congruent Angles: Definition
    5. Animation 36
    6. Proving Angles Congruent (1)
    7. Proving Angles Congruent (2)
    8. Proving Angles Congruent
    9. Midpoint Definition
    10. Animation 56
    11. Segment Bisector Definition
    12. Animation 160
    13. Perpendicular Lines: Quick Intro
    14. Segment Bisectors (Definitions)
    15. Perpendicular Bisector Definition
    16. Perpendicular Bisector Definition
    17. Animation 15
    18. Angle Bisector Definition (I)
    19. Complementary Angles Meaning
    20. Animation 48
    21. Supplementary Angles Meaning
    22. Animation 19
    23. Circle vs. Sphere
    24. Triangle Altitude Illustrator and Definition Writing Prompt
    25. Animation 162
    26. Triangle Median Illustrator & Definition Writing Prompt
    27. Animation 161
    28. Equilateral Action!!!
    29. Animation 165
    30. Equiangular Action!!!
    31. Animation 166
    32. Regular Polygon Action!
    33. Animation 193
11. MAFS.912.G-CO.1.2, 1.3, 1.4, 1.5
    1. Translations and Rotations
    2. Translating Triangle by a Vector
    3. Reflections
    4. Reflections Introduction
    5. Flip Flop Reflection
    6. Tool for compositions of rigid transformations and dilations
    7. Applet for Multiple Transformations
    8. Messing With Lisa
    9. Rotations: Introduction
    10. Point Symmetry: Another Perspective
    11. Reflections and Translations
    12. Tessellation by Translation
    13. Parallel Translation
    14. Transformations: Exercise 1
    15. Transformations: Exercise 2
    16. Transformations: Exercise 3
12. MAFS.912.G-CO.2.6
    1. Are the triangles congruent (part 2)?
    2. Are the triangles congruent (part 3)?
13. MAFS.912.G-CO.2.7
    1. Congruent Figures: Dynamic Illustration
    2. Animation 242
    3. Proving Tri's Congruent (I)
    4. Proving Tri's Congruent (II)
    5. SAS - Exercise 1A
    6. SAS - Exercise 1B
    7. SAS - Exercise 2
    8. SAS - Exercise 3
    9. SSS: Exercise 1
    10. SSS: Exercise 2
    11. SSS: Exercise 3
14. MAFS.912.G-CO.2.8
    1. SAS: Dynamic Proof!
    2. Animation 136
    3. SSS: Dynamic Proof!
    4. SSS: Dynamically Illustrated
    5. Animation 138
    6. ASA Theorem?
    7. Animation 137
    8. SSA Theorem?
    9. Is "SSA" Legit? What Do You Think?
    10. Exploring SSA
    11. HL: Hypotenuse-Leg Action!
    12. Animation 225
15. MAFS.912.G-CO.3.9
    1. Proof Prompt (A)
    2. Animation 128
    3. Proof Prompt (B)
    4. Animation 127
    5. Proof Prompt (C)
    6. Animation 131
    7. Proof Prompt (D)
    8. Animation 130
    9. Vertical Angles Exploration (1)
    10. Vertical Angles Exploration (2)
    11. Vertical Angles Theorem
    12. Animation 1
    13. Transversal Intersects Parallel Lines
    14. Corresponding Angles: Quick Investigation
    15. Congruent Corresponding Angles to Start? (Quick Investigation)
    16. Exploring Corresponding Angles (V2)
    17. Alternate Interior Angles: Quick Investigation
    18. Alternate Interior Angles Theorem (V1)
    19. Exploring Alternate Interior Angles (V2)
    20. Alternate Interior Angles Theorem (V3)
    21. Animation 16
    22. Alternate Exterior Angles: Quick Investigation
    23. Alternate Exterior Angles Theorem (V1)
    24. Exploring Alternate Exterior Angles (V2)
    25. Animation 39
    26. Animation 60
    27. Same-Side-Interior Angles: Quick Investigation
    28. Same Side Interior Angles Theorem
    29. Animation 29
    30. Same-Side-Exterior Angles: Quick Investigation
    31. Exploring Same Side Exterior Angles
    32. Animation 73
    33. Solution to Parallel Lines & Angles Problem
    34. Interesting Coplanar Locations (1)
    35. A Special Theorem: Part 1 (V1)
    36. A Special Theorem: Part 2 (V1)
    37. A Special Theorem: Part 2 (V2)
    38. A Special Theorem: Part 2 (V3)
    39. Animation 57
    40. A Special Theorem: Part 2 (V4)
    41. PBT (Part 1) - Quick
    42. PBT (Part 2) - Quick
    43. Where in This City? (1)
    44. CT Home Depots
    45. Where in NYC? (VA)
    46. Where in NYC? (VB)
    47. Where in NYC? (VC)
    48. Angle Bisector Theorem (Part 1)
    49. Another Special Theorem: Part 1 (V1)
    50. Another Special Theorem: Part 2 (V1)
    51. Another Special Theorem: Part 1 (V2)
    52. Animation 58
    53. Another Special Theorem: Part 1 (V3)
    54. Effortless Trisections
    55. Animation 134
    56. Parallel Lines Congruent Segments Theorem
    57. Parallel Lines Proportionality Theorem
    58. Animation 135
16. MAFS.912.G-CO.3.10
    1. Triangle Area Action! (V1)
    2. Triangle Area Action!!! (V2)
    3. Animation 175
    4. Area of a Triangle (Discovery)
    5. 4 Triangles Action!!!
    6. Animation 179
    7. Triangle Angle Theorems
    8. Animation 171
    9. Triangle Angle Theorems (V2)
    10. Animation 2
    11. Triangle Angle Theorems (V3)
    12. Transformation Proof 3
    13. Triangle Angle Sum Theorem
    14. Obvious Corollary
    15. Animation 140
    16. Triangle Exterior Angle
    17. Animation 102
    18. Triangle: Exterior Angles
    19. Quadrilateral: Exterior Angles
    20. Pentagon: Exterior Angles
    21. Polygons: Exterior Angles
    22. Polygons: Exterior Angles - REVAMPED
    23. Exploring Polygon Angles: Triangle through Octagon
    24. Angles of a Right Triangle
    25. Animation 104
    26. Acute Angles of a Right Triangle
    27. Animation 129
    28. Animation 22
    29. Isosceles Triangle Theorem: Discovery Lab
    30. A Special Triangle & Its Properties (I)
    31. Animation 8
    32. Isosceles Triangle Investigation
    33. Converse of IST (V1)
    34. Animation 82
    35. Animation 23
    36. Another Special Triangle and its Properties (II)
    37. Animation 27
    38. Converse of IST (II)
    39. Animation 84
    40. Isosceles Right Triangle: Quick Investigation
    41. Special Right Triangle (I)
    42. Animation 59
    43. Special Right Triangle (II)
    44. Another Special Right Triangle (Guided Discovery)
    45. Animation 42
    46. Special Line through Triangle V1 (Theorem Discovery)
    47. Special Line through Triangle V2 (Theorem Discovery)
    48. Triangle Midsegment Action!
    49. Animation 141
    50. Midsegment of a Triangle
    51. Triangle Inequality: Discovery Lesson
    52. Triangle Side Possibilities? (V2)
    53. Triangle Inequality
    54. Triangle Inequality (II)
    55. Inequalities in 1 Triangle
    56. Points of Concurrency: Investigation
    57. Orthocenter Exploration
    58. Circumcenter (& Questions)
    59. Circumcenter & Circumcircle Action!
    60. Animation 28
    61. Midpoint of HYP
    62. Animation 46
    63. Incenter Exploration (A)
    64. Incenter Exploration (B)
    65. Incenter & Incircle Action!
    66. Animation 17
    67. Triangle Medians: Quick Investigation
    68. Medians Centroid Theorem (Proof without Words)
    69. Medians and Centroid Dance
    70. Animation 25
17. MAFS.912.G-CO.3.11
    1. Parallelogram: Area
    2. Animation 202
    3. Parallelogram Construction Template & Discovery Lab
    4. Parallelogram Template (Scaffolded Discovery)
    5. Parallelogram Template
    6. Parallelogram: Theorem 1
    7. Animation 123
    8. Parallelogram: Theorem 2
    9. Animation 124
    10. Parallelogram: Theorem (3)
    11. Animation 125
    12. Parallelograms (I)
    13. Animation 75
    14. Animation 80
    15. Animation 6
    16. What Kind of Quadrilateral is This? (Part 1)
    17. What Kind of Quadrilateral is This? (Part 2)
    18. What Kind of Quadrilateral is This? (Part 3)
    19. What Kind of Quadrilateral is This? (Part 4)
    20. Special Quadrilateral: Theorem 1
    21. Animation 184
    22. Special Quadrilateral: Theorem 2
    23. Animation 185
    24. Special Quadrilateral: Theorem 3
    25. Animation 186
    26. Special Quadrilateral: Theorem 4
    27. Animation 187
    28. Congruent Opposite Sides of a Quadrilateral
    29. Quadrilateral With Opposite Angles Congruent
    30. What Kind of Quad?
    31. Quadrilateral Investigation (I)
    32. Rhombus Action!
    33. Animation 11
    34. Rhombus Template (Scaffolded Discovery)
    35. Rhombus Template with Investigation Questions
    36. Rectangle Action!
    37. Animation 31
    38. Rectangle Template (Scaffolded Investigation)
    39. Rectangle Template with Investigation Questions
    40. Square Action!
    41. Animation 41
    42. Square Template (Scaffolded Investigation)
    43. Square Template with Investigation Questions
    44. Trapezoids: Median Investiagtion
    45. Trapezoid Median (Midsegment) Action!
    46. Animation 67
    47. Trapezoid Median: 2 Discoveries
    48. Isosceles Trapezoid Action!
    49. Animation 64
    50. Animation 35
    51. Isosceles Trapezoid Template (Scaffolded Discovery)
    52. Isosceles Trapezoid Template
    53. Animation 49
    54. Kite Action!
    55. Animation 26
    56. Kite Template: Scaffolded Investigation
    57. Kite Template with Investigation Questions
    58. Quad Midpoints Action!
    59. Animation 52
18. MAFS.912.G-GMD.1.1
    1. TRUE MEANING of π
    2. Circumference = ? (Animation)
    3. Animation 66
    4. Circumference = ? (Animation II)
    5. Animation 70
    6. Animation 65
    7. Parallelogram: Area
    8. Animation 202
    9. Triangle Area Action! (V1)
    10. Triangle Area Action!!! (V2)
    11. Animation 175
    12. Circle Area (by Peeling)
    13. Circle Area (By Peeling!)
    14. Area of a Circle - without words (Animation 38)
    15. Area of a Circle (III)
    16. Area of a Circle (by Peeling)
    17. Area of a Circle II
    18. Volume of a Rectangular Prism
    19. Figure 6.7 Cavalieri's principle
    20. Cavalieri's Principle (祖暅原理)
    21. Mailbox? Backpack? (Composite Solid)
    22. Washer Action!!! (1)
    23. Animation 169
    24. Trisecting the Cube into 3 Pyramids
    25. Volume of Pyramids
    26. Volume of Pyramids - Chinese Proof
    27. SolveMyMaths Action 3A!
    28. SolveMyMaths Action 3B!
    29. Animation 203
    30. SolveMyMaths Action 4!
    31. Animation 204
    32. 4 Triangles Action!!!
    33. Animation 179
19. MAFS.912.G-GMD.1.3
    1. Unwrapping a Cylinder
    2. Unwrapping a Cylinder: REVAMPED!
    3. Volume of Spheres
    4. Volume of Spheres with Proof
    5. A sphere in a cylinder.
    6. Surface Area of Spheres
    7. Volumes and Surface Areas of Similar Cuboids
    8. Square Pyramid: Underlying Anatomy
    9. oblique and right pyramid - Cavalieri
    10. Right Triangular Prism!
    11. Adjustable Triangular Prism
    12. Sphere Peeling: Volume
    13. Net of a Cone
    14. Curved Surface Area of Cones (Combined Version)
20. MAFS.912.G-GMD.2.4
    1. Sections of Rectangular Prisms (Cuboids)
    2. Sections of Triangular Prisms
    3. Sections of Cylinders
    4. Sections of Rectangular Pyramids
    5. Sections of Triangular Pyramids
    6. Sections of Cones
    7. Sections of Spheres
    8. Exploring Sections of Cubes
    9. 11 Nets of the Cube
    10. Cube Geometry: Shortest Path Between Points - A Net
    11. Cube Dissection Problem
    12. Rotating a Triangle Around a Coordinate Axis
    13. Box with Open Top
    14. Cross Section? (1)
21. MAFS.912.G-MG.1.1, 1.2, 1.3
    1. Panteón (Roma)
    2. Golden Gate (San Francisco)
    3. Plaza de toros (Ronda)
    4. Big Ben (Londres)
    5. Museo Guggenheim (New York)
    6. Edificio CEOE (Zaragoza)
    7. Homer^3
    8. Taj Mahal (Agra)
    9. CCGPS AG 3.5.3 Example 3
    10. 4-Stroke Engine
    11. Optimization - Box
    12. Volume of a 3-sided Rectangular Solid (Prism)
22. MAFS.912.G-SRT.1.1
    1. Dilation Introduction: Transformers!
    2. Dilating a Point (Intro)
    3. Dilating a Line: HSG.SRT.A.1.A
    4. Dilating a Segment: HSG.SRT.A.1.B
23. MAFS.912.G-SRT.1.2
    1. Similar Figures: Dynamic Illustration
    2. Animation 243
    3. Properties of Dilations
    4. Properties of Dilations (II)
    5. Proving Triangles Similar (1)
    6. Proving Triangles Similar (2)
    7. Proving Triangles Similar (3)
    8. Proving Triangles Similar (4)
24. MAFS.912.G-SRT.1.3
    1. Angle -Angle: Triangle Investigation
    2. AA Similarity Theorem
    3. Animation 97
    4. AAA: Similar Quads?
25. MAFS.912.G-SRT.2.4, 2.5
    1. SAS ~ Theorem
    2. SSS ~ Theorem (V1)
    3. Animation 63
    4. SSS ~ Theorem (V2)
    5. SSSS: Similar Quads?
    6. Similar Right Triangles (V1)
    7. Animation 13
    8. Pythagorean and similar triangles.
    9. Effortless Trisections
    10. Animation 134
    11. Parallel Lines Congruent Segments Theorem
    12. Parallel Lines Proportionality Theorem
    13. Triangle-Angle Bisector Theorem
    14. Animation 81
    15. Proof Without Words
    16. Wordless Pythagorean Theorem based on Translations
    17. Proof Without Words
    18. Proof Without Words
    19. Proof Without Words
    20. Proof Without Words
    21. Proof Without Words
    22. Proof Without Words
    23. Proof Without Words
    24. Proof Without Words
    25. Proof Without Words
26. MAFS.912.G-SRT.3.6, 3.7, 3.8
    1. Practice: Pythagorean Theorem (1)
    2. Quiz: Pythagorean Theorem (2B)
    3. Angles in Standard Position
    4. Animation 176
    5. Quiz: Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
    6. Evaluating Trig Functions Given a Point on the Terminal Ray
    7. Trig Ratio Possibilities (Hints)
    8. Right Triangle Trig: Solving for Sides (2)
    9. Quiz: Special Right Triangles
    10. Special Angles in Standard Position: Intro (V2)
    11. Special Angles in Standard Position: Intro (V3)
    12. Special Angles in Standard Position: Intro (V1)
    13. Animation 177
    14. Animation 178
    15. Right Triangle Trigonometry: Intro
    16. True Meaning of Sine, Cosine, Tangent Ratios within Right Triangles
    17. Trig Ratio Estimations (Quiz: V1)
    18. Trig Ratio Estimations (Quiz: V2)
    19. Trigonometric Ratios (Right Triangle Context)
    20. Discovering Sine, Cosine, and Tangent in Right Triangles
    21. What "CO" in COsine Means
    22. Quiz: Expressing Angles Using Inverse Trigonometric Function
    23. Animation 98
    24. Animation 99
    25. Animation 100
    26. YOUR Linear Speed?
    27. How Fast are You Spinning?