CCSS High School: Geometry (Slope, midpoint, distancance)

Tim Brzezinski, Edward Knote, May 9, 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.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)
  2. 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
  3. 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)
  4. Links to Other CCSS High School: Geometry Standards
    1. Geometry Resources

1.

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)

1.1.

Rise & Run (Revamped)

[color=#9900ff][b]Link to Accompanying Lesson Activity:[/b] [/color][br][br][b][color=#0000ff][url=https://docs.google.com/document/d/1JxXYo0xWbWfqmFjScOvexHhdZ1Zmui-ju0NuXwQKSIc/edit?usp=sharing]Rise & Run: Investigation[/url] [/color][/b]
– Tim Brzezinski

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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1.13.

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1.14.

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1.15.

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1.16.

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2.

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

2.1.

Midpoint and Endpoint Coordinates Action!

Here, point A is an endpoint and point M is a midpoint. Move A and M where you'd like and slide the slider to find the other endpoint (B).
– Tim Brzezinski

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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3.

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)

3.1.

Distance in the Coordinate Plane (With Hints)

Discovery Lesson (Can be used without interactive figure below)
– Tim Brzezinski

3.2.

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3.3.

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3.4.

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3.5.

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4.

Links to Other CCSS High School: Geometry Standards

  • 1. Geometry Resources

4.1.

Geometry Resources

[list][*][b][url=https://www.geogebra.org/m/z8nvD94T]Congruence (Volume 1)[/url][/b][/*][*][b][url=https://www.geogebra.org/m/munhXmzx]Congruence (Volume 2)[/url][/b][/*][*][b][url=https://www.geogebra.org/m/dPqv8ACE]Similarity, Right Triangles, Trigonometry[/url][/b][/*][*][b][url=https://www.geogebra.org/m/C7dutQHh]Circles[/url][/b][/*][*][b][url=https://www.geogebra.org/m/K2YbdFk8]Coordinate and Analytic Geometry[/url][/b][/*][*][b][url=https://www.geogebra.org/m/xDNjSjEK]Area, Surface Area, Volume, 3D, Cross Section[/url] [/b][/*][*][b][url=https://www.geogebra.org/m/NjmEPs3t]Proof Challenges[/url]  [/b][/*][/list]
What phenomenon is dynamically being illustrated here? (Vertices are moveable.)
What phenomenon is dynamically being illustrated here? (Vertices are moveable.)
– Tim Brzezinski

Information