HEY BOYS AND GIRLS!!!!!
I hope you enjoyed the lesson.
I hope you understand the concepts and learned everything that is required.
If you have any questions, you where to find me. ^_^
Introduction
HEY BOYS AND GIRLS!!!!!!
Welcome to the Angles Academy. Here you will learn about all the angles and what makes them special to the "World of Mathematics".
What are Angles?
Angles are formed when two rays are joined together at a common point called a "vertex".
There are five (5) main types of angles. They are:
(1) Acute Angles:
Acute angles are angles that measure less than 90 degrees.
Real-life examples of acute angles are: the corner of a triangular piece of pizza, the hands of a clock at 1 o'clock, the angle between the floor and a ladder leaning against the wall.
(2) Right Angles:
Right angles are angles that measure exactly 90 degrees.
Real-life examples of right angles are: the corner of a square or rectangle, the angle formed by the meeting of two streets, between the floor and the legs of a chair, and between the walls and the floor of a room.
(3) Obtuse Angles:
Obtuse angles are angles that measure more than 90 degrees but less than 180 degrees.
Real-life examples of obtuse angles: are the hands of a clock at 5 o'clock, the angle formed by the sides of a kite, angle between the arms of scissors opened wide.
(4) Straight Angles:
Straight angles are angles that measure exactly 180 degrees.
Real-life examples of straight angles: straight lines, rulers
(5) Reflex Angles:
Reflex angles are angles that measure more than 180 degrees but less than 360 degrees.
Real-life examples of reflex angles: angle formed between the sides of a paper fan fully extended, angle formed by the sides of an open pair of scissors when opened more than 180 degrees.
PARTS OF AN ANGLE:
Vertex: The corner points of an angle, where two rays meet.
Arms: Two sides of an angle, joined at a common point.
Initial Side: Also known as the reference line, the measurement of the angle is taken with this line as a reference.
Terminal Side: It is the side up to which the angle measurement is done.
FUN FACTS:
An angle is measured in degrees.
Angles are measured using a protractor.
The word angle comes from a Latin word named 'angulus', meaning corner.
Task
TASKS:
Below are a list of three tasks that are to be completed.
Task #1
Angle Models
Task #2
Angle Journal/Scrapbook
Process
This section is a description of what should be done in both tasks.
Task #1
Students should use the following materials to create models of each types of angle.
Materials:
Cardboard
Cartridge Paper
Paper
Safety Scissors
Glue
Ruler
Note:
These models should reflect the size ranges of each angle.
Your model should be able to stand on its own; creating a circular base from cardboard would be good.
Task #2
Students are required to create a journal/scrapbook which should include the following:
1. The journal should be updated each time you come in contact with an object that resembles a type of angle.
2. You can include pictures or drawings that depict your findings.
3. You can decorate your journal/scrapbook tailored to your taste but should represent mathematics.
4. Write about your experiences and what you have learned so far about angles and what you want to know.
5. There should be at least 15 entries up until collection date.
Videos:
Evaluation
Below is the rubric from which each task will be graded.
Task #1
| 0 - 3 | 4 - 7 | 8 - 10 | ||
|---|---|---|---|---|
| Creativity |
Little to no creativity, limited materials were used.
|
Some level of creativity was a noticed, some effort to incorporate different materials. | Creativity was emphasized; the use of different materials was noticed. | |
| Accuracy and Precision |
Model is not an accurate depiction of any of the types of angles.
|
Model has some accuracy | Model was accurately created and mimics each type of angle. | |
| Effort |
Minimal effort
|
Medium effort | Highly proficient | |
|
Presentation |
Model is show minimal organization, neatness in overall presentation
|
Model shows medium effort in organization, neatness in overall presentation. | Model shows effort in organization, neatness in overall presentation. |
TASK #2
RUBRIC FOR ANGLES JOURNAL/SCRAPBOOK
1. Content knowledge:
0 - 3 Demonstrates little to no understanding of angle concepts.
4 - 7 Demonstrates medium understanding of angle concepts, definitions and angle-related terms.
8 - 10 Demonstrates high proficiency in understanding angle concepts, definition and angle related terms.
2. Depth of Exploration:
0 - 3 Explores little to no concepts in depth in relation to angles.
4 - 7 Explores medium concepts in depth in relation to angles.
8 - 10 Explores concepts in depth in relation to angles.
3. Creativity and Originality:
0 - 3 Demonstrates minimal creativity in exploring angle concepts and/or applying them.
4 - 7 Demonstrates medium creativity in exploring angle concepts and/or applying them.
8 - 10 Demonstrates high proficiency in exploring angle concepts and/or applying them.
4. Engagement and Effort:
0 - 3 Demonstrates minimal effort in completing journal entries.
4 - 7 Demonstrates medium effort in completing journal entries.
8 - 10 Demonstrates consistent effort in completing journal entries.
Conclusion
In conclusion to the lesson:
Angles are not just mathematical concepts but also play important roles in our everyday lives, shaping the world around us in many ways. From the acute angles of clock hands to the right angles of door frames and the obtuse angles of folded paper, we encounter angles in various forms and contexts. Whether we are navigating our environment, engaging in sports, or appreciating art and design, an understanding of angles enhances our comprehension and interaction with the world.
By recognizing and appreciating the significance of angles, we gain a deeper insight into the structures, patterns, and beauty of our surroundings. So, let's continue to explore, observe, and appreciate the angles that surround us, for they are fundamental elements that add depth and dimension to our experiences.