# Geometry

TLDRIn the latest GeoGebra webinar, Monique introduces Karen Camp, a math educator with a passion for geometry and technology. Karen showcases GeoGebra's new geometry resources, including 92 ready-to-use activities for various grade levels. She demonstrates how to use these tools to teach concepts like angles, triangles, and transformations, emphasizing the importance of exploration and practice in understanding geometry. The webinar also includes a live exploration of GeoGebra's classroom features, highlighting the platform's interactivity and educational value.

### Takeaways

- ๐ The webinar focuses on utilizing Geo's latest resources for teaching Geometry.
- ๐ฉโ๐ซ Karen Camp, an experienced mathematics teacher, shares her expertise in Geometry education.
- ๐ The Geogebra platform offers a variety of Geometry resources, including 92 dedicated resources and hundreds of others on different topics.
- ๐ซ The resources are categorized for Upper Elementary (grades 4 and 5) and Middle School (grades 6 to 8), but can be adapted for high school use.
- ๐ Resources are divided into Exploration activities and Practice activities, each serving different educational purposes.
- ๐ Interactive tools like magnifiers and protractors are used to introduce and practice Geometry concepts.
- ๐ Activities like 'Identifying Angles' and 'Types of Triangles' help students engage with basic Geometry ideas.
- ๐ The 'Sum of Interior Angles of a Polygon' activity uses dynamic figures to help students understand geometric principles.
- ๐ค The webinar discusses the importance of reflection in the learning process to consolidate understanding of mathematical concepts.
- ๐ The 'Rigid Transformations' section offers a variety of challenges to explore properties of geometric transformations.
- ๐จโ๐ซ Teachers are encouraged to decide between exploration and practice resources based on their teaching goals and students' needs.

### Q & A

### What is the main topic of the GeoGebra webinar?

-The main topic of the GeoGebra webinar is Geometry using GeoGebra's latest resources.

### Who is the lead curriculum and instruction designer at Jodra?

-Monique is the lead curriculum and instruction designer at Jodra.

### How long has Karen Camp been teaching mathematics?

-Karen Camp has been teaching mathematics for the last 15 years.

### What types of resources are available for Geometry on GeoGebra?

-There are 92 resources for Geometry available on GeoGebra, including introductions to concepts, tools, explorations, and practice activities.

### What are the two types of Explorations discussed in the webinar?

-The two types of Explorations discussed are Type One Explorations, which funnel students to a similar conclusion, and Type Two Explorations, which allow for open-ended investigations.

### What is the purpose of the 'putting it all together' section in GeoGebra activities?

-The 'putting it all together' section in GeoGebra activities is designed to reinforce the concepts explored in the activity and to provide opportunities for students to build on their experiences.

### How does the webinar suggest using GeoGebra resources in the classroom?

-The webinar suggests using GeoGebra resources as warm-ups, preassessments, for absent students, self-checks, whole class lab activities, and for test practice or unit consolidation.

### What is the action consequence reflection cycle mentioned in the webinar?

-The action consequence reflection cycle is a teaching strategy where students perform a mathematical action, observe the consequence in a dynamic environment, and then reflect on the activity to consolidate learning.

### What is the difference between an exploration activity and a practice activity on GeoGebra?

-Exploration activities on GeoGebra are interactive and encourage students to discover concepts with follow-up questions, while practice activities offer multiple tries with hints and solutions to reinforce learning.

### How can teachers access Karen Camp's GeoGebra resources?

-Teachers can access Karen Camp's GeoGebra resources by visiting geogebra.org/kcamp.

### What is the next webinar topic after the Geometry webinar?

-The next webinar topic is Probability and Statistics.

### Outlines

### ๐ Introduction to Geogebra Webinar

The script introduces a Geogebra webinar focused on geometry, led by Monique, a curriculum designer. She welcomes participants, introduces the guest Karen Camp, a mathematics teacher with a passion for geometry and technology in education. Karen has been teaching for 15 years and conducts professional development for math since 1998. Monique encourages participants to use the chat for introductions and shares that there are 92 geometry resources available on Geogebra, with hundreds more on other topics. The webinar aims to demonstrate how to use these resources in classrooms, with a live exploration planned for the end.

### ๐ Exploring Geogebra Geometry Resources

Karen provides an overview of the Geogebra homepage and how to navigate to the geometry resources, which are categorized for upper elementary and middle school grades. She emphasizes that the resources are flexible and can be used across different grade levels. The script details an interactive activity about identifying angles, showcasing how Geogebra activities can introduce geometry concepts and facilitate student discussions. Karen also discusses the structure of Geogebra activities, distinguishing between exploration and practice activities.

### ๐ Dynamic Geometry Exploration

The script describes an interactive Geogebra activity where participants can identify and manipulate triangles to understand triangle types. Karen explains how dynamic activities allow students to explore geometric concepts like triangle properties through interaction and immediate feedback. She also highlights the importance of reflection in learning, suggesting that teachers use the 'putting it all together' sections of activities to consolidate student learning.

### ๐ Sum of Interior and Exterior Angles

Karen demonstrates activities that explore the sum of interior and exterior angles of polygons. She emphasizes the importance of prerequisite skills, such as understanding the angles of a triangle, before engaging with these activities. The script illustrates how Geogebra animations help students visualize and understand geometric concepts, and how teachers can use these activities to encourage student exploration and reflection.

### ๐ Type One and Type Two Explorations

The script discusses two types of lesson structures for Geogebra activities. Type one explorations guide students along similar pathways to a single conclusion, which is useful for direct learning of specific math concepts. In contrast, type two explorations offer open-ended investigations where students can decide their path, leading to potentially diverse conclusions. Karen illustrates these concepts with activities involving geometric solids and cross-sections.

### ๐งฉ Pythagorean Theorem and Transformations

Karen showcases a Pythagorean theorem animation, emphasizing the importance of observation and interaction with dynamic geometry. She then introduces a rich set of activities related to geometric transformations, which she refers to as a 'gold mine' due to their variety and depth. The script highlights the value of these activities for teaching transformations and for engaging students in mathematical exploration.

### ๐ค Action, Consequence, Reflection Cycle

The script summarizes key points from the webinar, including the importance of the action, consequence, reflection cycle in learning. Karen advises on when to use Geogebra activities, such as for pre-assessments, absent student work, or lab activities. She also encourages teachers to try out activities themselves to determine their suitability for students and to adapt them as needed.

### ๐ Closing and Future Webinars

The script concludes with information on how to access the webinar recording and slides, and announces the next webinar topic, which will be on probability and statistics. Karen shares her contact information and resources for further exploration. Monique thanks Karen for her participation and the audience for attending, encouraging feedback and engagement with Geogebra on social media.

### Mindmap

### Keywords

### ๐กGeometry

### ๐กGeoGebra

### ๐กResources

### ๐กExplorations

### ๐กPractice Activities

### ๐กTechnology in Math Teaching

### ๐กAction Consequence Reflection Cycle

### ๐กType One and Type Two Explorations

### ๐กGeoGebra Classroom

### ๐กRigid Transformations

### Highlights

Introduction to the webinar on Geometry using Geo's latest resources.

Monique, the lead curriculum and instruction designer at Jodra, introduces the webinar.

Guest Karen Camp, an experienced mathematics teacher, discusses leveraging technology in math teaching.

Karen's passion for geometry and helping students understand math better with technology.

Introduction to GeoGebra's resources for geometry education.

There are 92 resources for geometry and hundreds more for other topics on GeoGebra.

Resources are divided into Upper Elementary (grades 4 and 5) and Middle School (grades 6 to 8).

Karen emphasizes the flexibility of using resources across different grade levels.

Exploration of the first activity: Identifying angles around us.

Use of interactive magnifier to teach students about acute, obtuse, and straight angles.

Importance of discussion in learning geometry through exploration activities.

Introduction to the second activity: Types of triangles.

Dynamic environment allows students to create different types of triangles and understand their properties.

Exploration of the third activity: Using a protractor tool to measure angles.

Students get multiple tries and supportive feedback in practice activities.

Exploration of the fourth activity: Sum of the interior angles of a polygon.

Students explore how the sum of interior angles changes with different polygon shapes.

Exploration of the fifth activity: Sum of the exterior angles of polygons.

Students discover that the sum of exterior angles always equals 360 degrees, regardless of the polygon's shape.

Discussion on Type One and Type Two lesson structures in geometry education.

Type One Explorations lead students to similar conclusions, while Type Two Explorations allow for open-ended investigations.

Exploration of the sixth activity: Making cross-sections of a prism.

Students can explore different cross-sections and understand geometric solids.

Exploration of the seventh activity: Pythagorean animation.

Students visualize the Pythagorean theorem through an interactive animation.

Introduction to the final activity: Rigid Transformations.

Students practice identifying and applying different types of geometric transformations.

Karen shares her resources and contact information for further engagement.

Upcoming webinar on probability and statistics announced.