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Curriculum Map Activities

JohnCMorris, Nov 14, 2017

Geometry MAFS Activities

MAFS.912.G-GPE.1.1

Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

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

MAFS.912.G-GPE.2.4

Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, 3) lies on the circle centered at the origin and containing the point (0, 2).

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)

2.1.

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.

3.

MAFS.912.G-GPE.2.5

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

1. Rise & Run (Revamped)
2. Rise & Run
3. Slope: Intuitive Introduction
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

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.

3.17.

3.18.

3.19.

4.

MAFS.912.G-GPE.2.6

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

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

MAFS.912.G-GPE.2.7

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

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)

MAFS.912.G-C.1.1

1. Congruent Circles: Definition
2. Animation 89
3. Similar Circles?

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

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)

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 Meaning?
20. Animation 48
21. Supplementary Angles (Quick Exploration)
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

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

MAFS.912.G-CO.2.6

1. Are the triangles congruent (part 2)?
2. Are the triangles congruent (part 3)?

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

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

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

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
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

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)

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)

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)

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

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)

MAFS.912.G-SRT.1.3

1. Angle -Angle: Triangle Investigation
2. AA Similarity Theorem
3. Animation 97
4. AAA: Similar Quads?

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

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?

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