# HOW TO USE GEOGEBRA FOR ONLINE TEACHING | ANGLES | TRIANGLES | SLIDERS | RATIO | TIP FOR TEACHERS

TLDRThis tutorial offers a comprehensive guide on utilizing GeoGebra for online teaching, focusing on creating and manipulating angles and triangles. The instructor demonstrates how to draw angles with specific measurements using the angle tool, and introduces the slider feature for creating variable angles. Additionally, the video covers techniques for constructing triangles with given base lengths and angles, enhancing interactivity in the learning process. The presenter also shares tips on formatting and customizing visual elements within GeoGebra, making it an invaluable resource for educators looking to incorporate dynamic geometry into their online teaching.

### Takeaways

- 😀 The tutorial introduces how to use GeoGebra for online teaching, focusing on angles, triangles, sliders, and ratios.
- 📐 Learn how to draw angles with specific measurements using the angle tool in GeoGebra.
- 🔲 Understand the use of sliders to create angles that can be adjusted dynamically.
- 📏 Discover how to format angles, including hiding or showing specific elements like the angle's name or value.
- 🎨 Customize the appearance of angles with options for color, line thickness, opacity, and style.
- ➡️ Add arrows to lines to indicate direction, and learn how to adjust their position at the start or end of a line segment.
- 🔒 Fix specific points to control the movement of angles and ensure certain measurements remain constant.
- 📐 Explore creating triangles with given base lengths and angles, using the segment and angle tools.
- 🔄 Delete and recreate objects as needed while constructing geometric figures in GeoGebra.
- 🔄 Utilize the slider tool to dynamically adjust angles and explore geometric relationships in real-time.
- 👨🏫 The tutorial provides tips for teachers on how to effectively use GeoGebra's features for teaching geometry.

### Q & A

### What is the main topic of the tutorial?

-The main topic of the tutorial is how to use GeoGebra for online teaching, specifically focusing on creating angles, triangles, using sliders, and understanding ratios.

### How does the tutorial begin?

-The tutorial begins by introducing how to draw angles with specific measurements and using sliders to create angles.

### What is the first step in creating an angle in GeoGebra according to the tutorial?

-The first step in creating an angle in GeoGebra is to open a new file and then select the 'Angle of any measurement' tool from the toolbar.

### How can you hide the coordinates display in GeoGebra?

-You can hide the coordinates display by pressing 'Control Z' after marking a point, or by going to the settings of the graphics screen.

### What is the purpose of the 'Angle with given size' tool?

-The 'Angle with given size' tool allows users to draw an angle with a specific degree measurement, such as 45°, 60°, or any other angle as per the requirement.

### How can you format the appearance of an angle in GeoGebra?

-You can format the appearance of an angle by clicking on the angle, then accessing the settings through the three dots. Here, you can change the style, color, line thickness, opacity, and line style.

### What does the tutorial suggest to do if you want to add an arrow to a line segment?

-To add an arrow to a line segment, you should go to the settings of the segment and choose the 'line start' or 'line end' option under 'style' to add an arrow.

### How can you fix a point in GeoGebra so that it doesn't move?

-You can fix a point by right-clicking on the point and selecting 'settings', then unchecking the 'object' checkbox to make it an auxiliary object.

### What is the process to draw a triangle with given base and base angles as described in the tutorial?

-To draw a triangle with a given base and base angles, you first draw the base segment, then create rays from each endpoint at the given angles, and finally find the intersection point of these rays to complete the triangle.

### How does the slider tool in GeoGebra assist in teaching?

-The slider tool in GeoGebra assists in teaching by allowing the creation of variable angles or lengths, which can dynamically change to demonstrate different concepts and explore mathematical relationships.

### What can the slider tool be used for besides making angles?

-The slider tool can also be used for creating different lengths of straight lines, demonstrating various geometric constructions, and exploring mathematical concepts that involve variables.

### Outlines

### 📐 Introduction to Drawing Angles

The speaker begins by introducing a tutorial on how to draw angles with specific measurements using a tool that was previously mentioned in an introduction session. They open a new file and proceed to use the angle tool to draw an angle by marking points on the screen. The coordinates of the points are displayed, and the speaker demonstrates how to clear the graphics screen if needed. They then select a blank white paper with axes to draw on and proceed to draw an angle by marking points A, B, and C. The tool automatically calculates and displays the angle measurement, which in this case is 106°. The speaker then shows how to format the angle by hiding certain elements and adjusting the style, including color and line thickness.

### 🔍 Customizing Angle Display

The speaker continues by customizing the display of the angle by hiding specific points and adding arrows to the lines. They explain how to adjust the style of the line, including its size, decoration, and arrowheads. The process involves selecting the line, accessing its settings, and modifying the line style, such as adding an arrow at the end. The speaker also demonstrates how to hide points at the endpoints of the lines to clean up the appearance of the angle diagram. They mention the use of the move tool to resize the angle and how to fix certain points to maintain specific measurements while adjusting others.

### 📏 Drawing Angles with Given Sizes

The tutorial then moves on to drawing an angle with a given size. The speaker marks a point and then is prompted to input the angle measurement, defaulting to 45° but can be changed to any desired degree. They join the points to form the angle and note that the angle size remains fixed regardless of how the diagram is moved or resized. The speaker emphasizes the utility of this tool for creating angles with specific measurements and mentions that the tool can be used for other geometric constructions as well.

### 📐 Constructing a Triangle with Given Angles

The speaker demonstrates how to construct a triangle when the length of the base and the base angles are given. They use the text tool to input the measurements and angle values, ensuring they are correctly formatted with degrees. The process involves drawing the base of the triangle with a given length and then drawing rays from the base angles to form the triangle. The speaker shows how to find the intersection point of the rays to determine the third vertex of the triangle. They rename the segments for clarity and ensure the measurements and angles are accurately represented in the diagram.

### 🔑 Utilizing Sliders for Variable Angles

In the final part of the tutorial, the speaker introduces the use of sliders for creating variable angles. They explain that sliders are a valuable tool for teachers and can be used for various geometric constructions. The speaker sets up a slider to control the angle measurement, which can be adjusted from 0 to 360° in increments of 1°. They demonstrate how to link the slider to the angle measurement in the diagram, allowing for dynamic adjustments to the angle size. The speaker shows how the angle measurement updates automatically as the slider value changes, providing a hands-on way to explore angles and their properties.

### Mindmap

### Keywords

### 💡GeoGebra

### 💡Angles

### 💡Sliders

### 💡Triangles

### 💡Ratio

### 💡Tip for Teachers

### 💡Acute Angle

### 💡Reflex Angle

### 💡Graphing

### 💡Construction

### 💡Dynamic Geometry

### Highlights

Introduction to using GeoGebra for online teaching.

How to create angles with specific measurements.

Utilizing sliders to create angles.

Exploring the use of GeoGebra's angle tools in detail.

Opening a new file in GeoGebra.

Drawing an angle by marking three points.

Automatic display of angle measurement in GeoGebra.

Formatting the appearance of angles in GeoGebra.

Hiding and showing elements using the settings menu.

Changing the style of lines and angles.

Adding arrows to lines for better visualization.

Fixing points to control the movement of angles.

Using the move tool to adjust the size of angles.

Drawing angles with a given size.

Creating a triangle with a given base and angles.

Using the slider tool for variable angles.

Setting up a slider for angles within a specific range.

Creating dynamic angles with the slider tool.

Practical applications of GeoGebra in teaching geometry.

Thanking viewers for watching and subscribing.

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