We have learned a lot of stuff in math nine but I think one of the things that was the most important to me was exponents.
Exponents were so shocking to me because in grade 8 or the years before that we never learned about exponents. The power to power law in my opinion is the coolest because I never knew you could have an exponent over an exponent. With the power to power law you could just multiply the two powers together so you only have one power so it’s easier to solve.
Another one was polynomials. Multiplying polynomials were pretty cool because it was a good challenge for me. I picked it up pretty quickly but it was definitely a useful thing to understand for the unit. Multiplying it makes the question easier because then you can just simplify the question after.
The third thing I would say is measuring angles indirectly. That was pretty cool because you can find out the height of anything by its shadow and a tape measure or a mirror and a tape measure. It was pretty shocking how simple it was too.
The fourth thing would be equivalent equations because like exponents I have never learned it before so it was something cool i could learn. The main thing to know about equivalent equations is that what ever you do to one side you have to do to the other side.
For my last thing it would be inequalities because we learned a bit about the simples you use in inequalities but we expanded on it so much that it was pretty cool. Inequalities is the same as equivalent equations but a little different. This example will explain.
Hi how are you so similarities are pretty interesting the easiest way to tell if the two triangles are similar you have to see if the angles are all the same and if two of the angles match up that means the third matches up because they always add up to 180 degrees. If there are missing sides in one of the two triangles you can find the scale factor by using the two sides that have completed numbers and then you do the butterfly approach to find the missing side length.
That is how you do the butterfly approach. So now I’m gonna say how to know we’re to put the numbers in the fraction the original number would be on the bottom and the image number is on the top of the fraction
I chose this wall because I didn’t have much else to measure. I couldn’t use the shadow technique because I didn’t have anyone to help me with the measurements so I used my phone to do the mirror technique and measure the height of the wall in my appartement building.
His here is my example of reducing and enlargements so the green is my original shape and our scale factor was 3 so I multiplied all the numbers to get the larger image and that is the orange shape .
to get the smaller shape you multiply by either a fraction or either a decimal because the answer will be smaller wich is the purple one on the left. The shape and angles stay the same as the image gets larger or smaller.
Ok so inequality’s are basically kinda like equality’s except for a few exceptions. Before I say the exceptions I will talk a bit about inequality’s and the signs. The signs will be in order by the picture.
So inequality’s still have the golden rule of what you do to one side you must do to the other. One change from equations is that if you divide in the final step by a negative you have to flip the symbol ex.
That part right there is probably the only real big difference between equality’s and inequality’s besides the different symbols.
Ok so right now I’m going to do some solving and then i’ll show and explain checking.
So that’s an example of solving right there and the lines represent zero pairs which mean that there’s a positive and negative that are the same number that end up cancelling each other out.
Solving is different than equations too because there’s two parts with this one I’ll show you now with a picture.
And that’s what I know about grade nine inequality’s.