ClassX Video Lessons Youtube Channel Smile and Learn English Addition of ANGLES ➕ Sexagesimal System ???? Math for Kids
Hello, my angle-loving friends! Welcome to a fun lesson on adding angles. Don’t worry if you’re new to this; I’ll guide you through it step by step.
We use something called the sexagesimal system to measure angles. This system uses degrees, minutes, and seconds. Here’s a quick reminder: one degree equals 60 minutes, and one minute equals 60 seconds. Pretty cool, right?
Let’s learn how to add angles with some examples. You’ll see how easy it is!
We need to add two angles: one is 22 degrees, 35 minutes, and 15 seconds, and the other is 63 degrees, 21 minutes, and 30 seconds. Let’s find the exact sum!
First, write the angles one below the other, just like in regular addition. Make sure degrees are under degrees, minutes under minutes, and seconds under seconds.
Now, add each column separately:
The final result is 85 degrees, 56 minutes, and 45 seconds. Easy, right?
Let’s try another one. We have angles measuring 48 degrees, 12 minutes, and 57 seconds, and 36 degrees, 39 minutes, and 25 seconds. What’s the sum?
Again, write the angles one below the other. Then, add each column:
Uh-oh! We have 82 seconds, which is more than 60. We need to subtract 60 from 82, leaving us with 22 seconds. We add 1 minute to the minutes column, making it 52 minutes.
Now, everything is correct: 84 degrees, 52 minutes, and 22 seconds.
Are you ready to try adding angles on your own? Practice makes perfect, and you’ll see how much fun it can be. Keep practicing, and you’ll become an angle-adding pro in no time!
We’ve learned a lot today! If you want to learn more, check out other educational videos and have fun while learning. See you soon!
Gather your classmates and form teams. Each team will receive a set of angle addition problems. Race against the clock to solve them correctly. The first team to finish with all correct answers wins! This will help you practice adding angles quickly and accurately.
Use your creativity to design your own angle addition problems. Write down two angles in degrees, minutes, and seconds, and solve them. Swap problems with a friend and check each other’s work. This will reinforce your understanding of the sexagesimal system.
Complete a puzzle where each piece represents a part of an angle (degrees, minutes, or seconds). Assemble the pieces to form complete angles and calculate their sums. This hands-on activity will make learning about angles more interactive and fun.
Play an online game where you add angles to reach a target sum. Each level presents a new challenge with different angles to add. This game will help you improve your skills while having fun with technology.
Write a short story involving characters who need to add angles to solve a mystery or complete a task. Share your story with the class and explain how the angle addition helped the characters. This activity will combine creativity with mathematical skills.
Sure! Here’s a sanitized version of the YouTube transcript:
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Hello, my angle-loving friends! Welcome to my new gym. How about I teach you to add angles? Don’t worry if you’re not familiar with it; I’ll guide you through it step by step.
We use the sexagesimal system to measure angles, which uses degrees, minutes, and seconds as units. You already knew that, didn’t you? Just to remind you, one degree is equal to 60 minutes, and one minute equals 60 seconds.
Today, we’ll learn how to add angles with some examples. You’ll see how easy it is! Let’s start.
We need to add the following angles: on one side, we have one measuring 22 degrees, 35 minutes, and 15 seconds, and on the other side, we have one measuring 63 degrees, 21 minutes, and 30 seconds. What would be the exact sum of both angles? Pay attention!
The first step is to put the angle measurements we want to add one below the other, just like regular addition. But be careful! The numbers have to match exactly: that means degrees go under degrees, minutes go under minutes, and seconds go under seconds.
Once we have placed the angles correctly, we add each column separately. We’ll start by adding the seconds: 15 seconds plus 30 seconds is 45 seconds. Now we’ll add the minutes: 35 minutes plus 21 minutes is 56 minutes. Lastly, we’ll add the degrees: 22 degrees plus 63 degrees is 85 degrees.
It’s important to remember that the answers for the seconds and minutes columns must have a value between 0 and 59. In this case, we already have the final result: 85 degrees, 56 minutes, and 45 seconds.
Let’s look at another example. We’re going to add the following angles: on one side, it measures 48 degrees, 12 minutes, and 57 seconds, and on the other side, it measures 36 degrees, 39 minutes, and 25 seconds. What would be the exact sum of both angles? Pay close attention!
Remember, first we must place the angle measurements we want to add one below the other, just like regular addition. That means degrees go under degrees, minutes go under minutes, and seconds go under seconds.
Once we have placed the angles correctly, we add each column separately. We’ll start by adding the seconds: 57 seconds plus 25 seconds is 82 seconds. Now we’ll add the minutes: 12 minutes plus 39 minutes is 51 minutes. Lastly, we’ll add the degrees: 48 degrees plus 36 degrees is 84 degrees.
Remember that the answers for the seconds and minutes columns must have a value between 0 and 59. If the minutes or seconds are more than 59, we will have to subtract 60 from them and add it to the unit to the left.
Let’s take a look at our seconds: we have 82 seconds, which is more than 60. This means we need to subtract 60 seconds from 82 seconds and move one minute to the left, to the minutes column. So, we subtract 60 seconds from 82, and now we need to add those 60 seconds to 51 minutes, giving us a total of 52 minutes.
In our example, we see that the minutes are less than 60, so this calculation is complete. The final result is 84 degrees, 52 minutes, and 22 seconds.
Are you ready to try one on your own? I’m going to do some exercises; I feel a little rusty! Practice adding angles, and you will see how much fun it is. See you soon!
We’ve learned so much in just one video! Did you know there are many more videos? Imagine how much you could learn! Subscribe to the Smile and Learn educational channel to learn and have fun at the same time!
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Let me know if you need any further modifications!
Angles – An angle is formed when two lines meet at a point. It is measured in degrees. – In our math class, we learned how to measure angles using a protractor.
Degrees – Degrees are units used to measure angles. A full circle is 360 degrees. – The angle of the triangle was 90 degrees, which means it is a right angle.
Minutes – Minutes are smaller units used to measure angles, where one degree equals 60 minutes. – The angle was 45 degrees and 30 minutes, which is just a little more than 45 degrees.
Seconds – Seconds are even smaller units used to measure angles, where one minute equals 60 seconds. – The precise measurement of the angle was 30 degrees, 15 minutes, and 20 seconds.
Add – To combine numbers or quantities to get a total. – When you add the angles of a triangle, they always sum up to 180 degrees.
Measure – To find the size, amount, or degree of something using a tool or device. – We used a protractor to measure the angle of the ramp in our project.
System – A set of rules or methods used to organize or solve problems. – The coordinate system helps us locate points on a graph.
Practice – To do something repeatedly to improve your skill. – We need to practice measuring angles to get better at it.
Sum – The result of adding two or more numbers together. – The sum of the angles in a quadrilateral is 360 degrees.
Fun – Enjoyment or amusement, especially when learning something new. – Learning about angles and shapes can be fun when we play math games.
