Tēnā Koe, Reader!
Recently in maths, the year 8 has been focusing about the fascinating world of angles! We’re moving beyond simple measurements to truly understand their–the angles–properties and how to describe them accurately. The key to our success has been mastering the three-letter notation, like ∠ABC, which has allowed us to comprehend communicate our geometric findings. That brings me to my question.. what are you learning about in Maths? I’d be intrigued to know if I’ve learnt about something similar or not!
What’s The Deal With ∠ABC?
It all comes down to being super clear. See, when you write ∠ABC, you’re telling everyone exactly which angle you mean. The letter in the middle, B, is the pointy bit of the angle—what we call the vertex. The two letters on the ends, A and C, just show you the two lines that make the angle. It’s a great way to avoid confusion when you’ve got a bunch of lines all crossing each other.
With this new way of talking about angles, we, the Year 8’s, have become experts at spotting all the different kinds! Like:
- Acute angles: These are the “sharp” ones, less than 90°.
- Obtuse angles: Think of these as the “wide” angles, bigger than 90°.
- Right angles: The classic 90° corner. Now they know to look for that little square box to spot them (like the corner of a picture frame).
- Reflex angles: These are the big angles, the ones that are more than 180°.
Vocab Wall
During class, the students learned some new words that are great shortcuts for describing different types of angles. For example, the word “supplementary” is a quick way to talk about two angles that add up to a straight line (180 degrees)! Instead of talking about the angles that add up to or into a straight angle. Another word I’ve learnt whilst studying was complementary! ”Complementary” ANGLES are a pair of angles that sum up to a right angle (90°). They can be visualized as two pieces that fit together to form a perfect L-shaped corner.
Alternate and corresponding angles
When two parallel lines are crossed by a transversal line, the relationships between alternate and corresponding angles become apparent.
For alternate angles, I ideally think that the key word is “opposite.”. They are on opposite sides of the transversal line that crosses through two parallel lines. When the lines are parallel, these angles are always equal to each other.
In regular life, “corresponding” means something that matches up with something else. Think of two houses that are built exactly the same on a street. The window on the top-left of one house corresponds to the window on the top-left of the other. That’s the best way I could visually explain the word.
So our two other new words I’ve learnt were:
- Alternate Angles &
- Corresponding Angles.
What we’ve learned isn’t just for tests. We see angles everywhere. The right angle of a building, the acute angle of a roof, or all the different angles in a cool drawing. It’s awesome to see people using this stuff to describe the world around them. I think my understanding is great because I understood most of what I was tasked to do. We did a great job, and it’s been fun seeing us get so into it!
Thanks for reading! Comment your thoughts on this post down below 👇📝.
