Context
Hello, dear students! Today, we will embark on a great adventure through the world of angles. But what is an angle? Well, an angle is the figure formed by two rays that have the same origin or starting point. This origin is called the vertex, and the two rays are called the sides of the angle.
Now that we know what an angle is, we can delve deeper into an important concept: the angle's measure. An angle's measure is how we know how open or closed it is. And how do we measure this opening? We use a unit of measurement called the degree (°). A full circle has 360°, and this is our standard unit of measurement.
Introduction
In the study of angles, one of the first things we learn is that there are different types of angles, depending on their measure. Today, we will focus on three main types:
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Acute Angle: This is an angle whose measure is less than 90°. It looks like a very closed corner.
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Right Angle: This is an angle whose measure is exactly 90°. It forms a perfect "L" shape!
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Obtuse Angle: This is an angle whose measure is greater than 90° but less than 180°. It looks like a slightly more open corner.
In addition to these three, there are many other types of angles, such as the straight angle (180°) and the reflex angle (greater than 90° but less than 180°). But, let's start with the three main ones, and as we progress through our project, all of you will be able to discover more about these other types.
Understanding the classification of angles by measure is fundamental for many aspects of our lives, especially in Mathematics and also in areas such as Engineering, Architecture, Design and even in video games. Ready to explore the world of angles? Let's go!
Hands-on Activity: "Discovering Angles in Our Daily Lives"##
Project Objective
The objective of this project is for you to, in groups, explore the concept of acute, right and obtuse angles in our daily lives, by identifying, measuring and classifying the angles present in various everyday objects and situations.
Project Description
Groups should photograph or draw 10 different everyday situations in which acute, right and obtuse angles appear. Then, they should measure the measure of each angle and classify them according to what they have learned. Finally, they should create a picture album (physical or digital) with the photos/drawings and information about each angle.
Required Materials
- Paper and pencil or a camera/cell phone for the pictures
- Protractor to measure the angles (can also be done with a drawing of the protractor)
- Ruler to assist with the measurements
- Glue, scissors and decorating materials for the album (if it is physical)
Step by Step
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Forming the Groups: Form groups of 3 to 5 students.
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Study of the Angles: Review the concept of acute, right and obtuse angles together and practice measuring angles with the protractor.
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Image/Drawing Acquisition: Each group should identify 10 different situations in their daily lives where they can find angles. Photograph or draw these situations, highlighting the angles present.
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Angle Measurements: With the help of the protractor (or the drawing of the protractor), measure the measure of each angle in the photos/drawings and record this information.
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Angle Classification: Based on the measurement obtained, classify each angle as acute, right or obtuse.
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Album Creation: Use the photos/drawings, the angle measurements and the classifications to create an angle album. If it is a physical album, glue the pictures, write down the information and decorate the cover. If it is a digital album, insert the images, write down the information and choose an attractive design.
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Project Presentation: Each group should present their album to the class, explaining the chosen situations, the angle measurements and their classifications.
Remember, mathematics is everywhere! Have fun exploring the world of angles!
