Geogebra - Dynamic Geometry Software - WHKS

Jay Sydow, Feb 11, 2025

We are conducting professional development with GeoGebra to support the transition to the 2025 South Carolina College and Career Ready (SCCCR) Standards, which emphasize foundational Geometry with Statistics. GeoGebra, a dynamic geometry software, helps students develop spatial reasoning, measurement skills, and geometric understanding by enabling hands-on exploration and visualization. Through this professional development, teachers will learn to leverage GeoGebra to: Create interactive lessons that promote conceptual learning through exploration. Help students visualize and explore geometric concepts, fostering deeper understanding and fluency in problem-solving. Access and adapt pre-existing resources to enhance instruction. By integrating GeoGebra, teachers will create engaging, interactive learning environments that motivate students, improve their understanding, and align with the standards' goals of building strong foundations in spatial awareness and logical reasoning.

Table of Contents

  1. Welcome and Setting the Stage
    1. Drawing Angles Game Using Radians
    2. Survey Questions
  2. Why are we doing this?
    1. 2025 SCCCR Mathematics Standards
  3. Lesson
    1. How is Geogebra used in a math classroom?
    2. Tasks, Activities, Chapters, and Books
    3. Geometry - Messing With Lisa - Transformations
    4. Geometry-SAS: Dynamic Proof!
    5. Algebra 1 - Systems of Equations Puzzle Game
    6. Algebra 1 - Perpendicular Lines Investigation (VB)
    7. Algebra 1 - Factoring Trinomials: Intro
    8. Algebra 2 - Solve Quadratics using Quadratic Formula
    9. Prob & Stats - Normal Distribution: mean, std.dev.
    10. Prob and Stats - Drawing Box-and-Whisker Plots
  4. Collaborative Practice
    1. Find an activity.
    2. Resources
  5. Reflection
    1. Reflection

1.

Welcome and Setting the Stage

The professional development session will use GeoGebra to engage teachers with an opening activity, Drawing Angles Game Using Radians, fostering interaction and hands-on learning. The session will focus on key elements from Lexington One's Instructional Framework: Designing intentional learning experiences aligned with assessments that support learner variability, such as flexible groupings, multiple entry points, and student choice. Engaging in opportunities to grow in both content knowledge and best practices. Emphasizing the "experience first, formalize later" approach, GeoGebra will serve as a dynamic tool for creating meaningful, exploratory learning experiences.

  • 1. Drawing Angles Game Using Radians
  • 2. Survey Questions

1.1.

Drawing Angles Game Using Radians

Draw angles using radians as accurately as you can and improve your angle sense in this interactive game.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Which angles were the easiest for you to draw?  Why do you think so?
– GeoGebra Content Team

1.2.

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2.

Why are we doing this?

  • 1. 2025 SCCCR Mathematics Standards

2.1.

2025 SCCCR Mathematics Standards

Rational for New Shift to Geometry 1st[list=1][*]The shift prepares students for a "conceptual age," shifting from emphasizing knowledge to critical thinking, collaboration, and adaptability.[/*][*]Builds on middle school concepts of congruence, similarity, and proportionality.[/*][*]Geometry offers concrete experiences that align with developmental readiness before they experience the abstractness of Algebra 1.[/*][/list]
How often do the 2025 SCCCR Mathematics Standards in the Geometry with Statistics section reference [b]dynamic geometry software[/b]?
Geometry with Statistics Before Algebra 1 The Research Behind the Switch
– Jay Sydow

3.

Lesson

  • 1. How is Geogebra used in a math classroom?
  • 2. Tasks, Activities, Chapters, and Books
  • 3. Geometry - Messing With Lisa - Transformations
  • 4. Geometry-SAS: Dynamic Proof!
  • 5. Algebra 1 - Systems of Equations Puzzle Game
  • 6. Algebra 1 - Perpendicular Lines Investigation (VB)
  • 7. Algebra 1 - Factoring Trinomials: Intro
  • 8. Algebra 2 - Solve Quadratics using Quadratic Formula
  • 9. Prob & Stats - Normal Distribution: mean, std.dev.
  • 10. Prob and Stats - Drawing Box-and-Whisker Plots

3.1.

How is Geogebra used in a math classroom?

GeoGebra is a versatile tool for mathematics classrooms, enabling dynamic, interactive learning across various topics. Here’s how it can be used effectively:
Visualizing Concepts[br]Encouraging Exploration[br]Enhancing Problem-Solving Skills[br]Supporting Collaborative Learning[br]Creating Dynamic Lessons[br]Developing Spatial Reasoning[br]Increasing Engagement
What are some of the ways that an activity like this enhances your classroom?
– GeoGebra Content Team, Jay Sydow

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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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4.

Collaborative Practice

  • 1. Find an activity.
  • 2. Resources

4.1.

Find an activity.

– Jay Sydow

4.2.

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5.

Reflection

  • 1. Reflection

5.1.

Reflection

What are some ways you could incorporate GeoGebra into your teaching in the next month?[*][br][/*]
[*]What additional support or resources do you need to feel confident using GeoGebra in your classroom?[/*][*][/*]
– Jay Sydow

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