CCSS High School: Geometry (Expressing GEO. Prop's w/Equns.)

Tim Brzezinski, Francisco Euzébio da Cruz, Sep 20, 2017

[b]This GeoGebra Book contains lots of discovery-based learning activities, investigations, and meaningful remediation worksheets that were designed to help enhance students' learning of geometry concepts both inside and outside of the mathematics classroom. [color=#1551b5]This GeoGebra Book also contains contributions from Samantha Cruz ([url]https://www.geogebra.org/scruz10[/url])[/color] [/b]

Table of Contents

  1. HSG.GPE.A.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
    6. Sphere Investigation
    7. Animation 156
    8. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
    9. Geometria plana e espacial em construção
    10. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
    11. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
    12. Geometria plana e espacial em construção
  2. HSG.GPE.A.2
    1. Locus Problem (1)
    2. Locus Construction 1
    3. Animation 85
    4. Parabola as a Locus
    5. Animation 4
    6. Locus Constructions (via Paper Folding)
    7. Parabola (Locus Construction)
    8. Parabola (Graph & Equation Anatomy)
  3. HSG.GPE.A.3
    1. Locus Problem (2)
    2. Locus Construction 2
    3. Ellipse (Locus Construction)
    4. Animation 86
    5. Ellipse: Magic Sum = ?
    6. Ellipse: Magic Sum = ? (V2)
    7. Animation 10
    8. Locus Problem (3)
    9. Locus Construction 3
    10. Animation 87
    11. Hyperbola: Difference = ?
    12. Animation 30
    13. Locus Constructions (via Paper Folding)
    14. Hyperbola (Locus Construction)
  4. HSG.GPE.B.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)
  5. HSG.GPE.B.5
    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. Perpendicular Lines Investigation (VA)
    9. Perpendicular Lines Investigation (VB)
    10. Slope Triangle Rotation (VA)
    11. Animation 103
    12. Parallel & Perpendicular Consequence
    13. Parallel Lines Definition
    14. Perpendicular Lines Definition (& Consequence)
    15. Writing Equations of Parallel and Perpendicular Lines
    16. Distance in the Coordinate Plane (II)
  6. HSG.GPE.B.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
  7. HSG.GPE.B.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)
  8. Links to Other CCSS High School: Geometry Standards
    1. Geometry Resources
    2. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
    3. Geometria plana e espacial em construção
  9. Additional - Links to CCSS High School: Functions Resources
    1. Functions Resources
    2. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
    3. Geometria plana e espacial em construção
  10. 3D Geometry
    1. 3D: Prism (unfold)
    2. 3D: Triangular piramid (unfold)
  11. As novas tecnologias nas ciências exatas
    1. Random Polynomial Self-Check
    2. Q Acadêmico do IFAM-Centro-Manaus-Am
    3. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
    4. parábolas, circunferência, elipse,

1.

HSG.GPE.A.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
  • 6. Sphere Investigation
  • 7. Animation 156
  • 8. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
  • 9. Geometria plana e espacial em construção
  • 10. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
  • 11. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
  • 12. Geometria plana e espacial em construção

1.1.

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1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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2.

HSG.GPE.A.2

  • 1. Locus Problem (1)
  • 2. Locus Construction 1
  • 3. Animation 85
  • 4. Parabola as a Locus
  • 5. Animation 4
  • 6. Locus Constructions (via Paper Folding)
  • 7. Parabola (Locus Construction)
  • 8. Parabola (Graph & Equation Anatomy)

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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3.

HSG.GPE.A.3

  • 1. Locus Problem (2)
  • 2. Locus Construction 2
  • 3. Ellipse (Locus Construction)
  • 4. Animation 86
  • 5. Ellipse: Magic Sum = ?
  • 6. Ellipse: Magic Sum = ? (V2)
  • 7. Animation 10
  • 8. Locus Problem (3)
  • 9. Locus Construction 3
  • 10. Animation 87
  • 11. Hyperbola: Difference = ?
  • 12. Animation 30
  • 13. Locus Constructions (via Paper Folding)
  • 14. Hyperbola (Locus Construction)

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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4.

HSG.GPE.B.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)

4.1.

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4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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4.10.

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4.11.

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4.12.

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4.13.

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4.14.

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4.15.

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4.16.

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5.

HSG.GPE.B.5

  • 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. Perpendicular Lines Investigation (VA)
  • 9. Perpendicular Lines Investigation (VB)
  • 10. Slope Triangle Rotation (VA)
  • 11. Animation 103
  • 12. Parallel & Perpendicular Consequence
  • 13. Parallel Lines Definition
  • 14. Perpendicular Lines Definition (& Consequence)
  • 15. Writing Equations of Parallel and Perpendicular Lines
  • 16. Distance in the Coordinate Plane (II)

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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6.

HSG.GPE.B.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

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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7.

HSG.GPE.B.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)

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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8.

Links to Other CCSS High School: Geometry Standards

  • 1. Geometry Resources
  • 2. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
  • 3. Geometria plana e espacial em construção

8.1.

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8.2.

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8.3.

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9.

Additional - Links to CCSS High School: Functions Resources

  • 1. Functions Resources
  • 2. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
  • 3. Geometria plana e espacial em construção

9.1.

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9.2.

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9.3.

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10.

3D Geometry

  • 1. 3D: Prism (unfold)
  • 2. 3D: Triangular piramid (unfold)

10.1.

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10.2.

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11.

As novas tecnologias nas ciências exatas

O conhecimento é um processo de aprendizagem intencional, somativa e acumulativa, por assimilação e acomodação, resultante da persistência contínua.

  • 1. Random Polynomial Self-Check
  • 2. Q Acadêmico do IFAM-Centro-Manaus-Am
  • 3. parábolas com a > 0 e a < 0, circunferência, elipse,etc,
  • 4. parábolas, circunferência, elipse,

11.1.

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11.2.

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11.3.

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11.4.

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Information