Monthly Archives: October 2022

this week we learned how to factor polynomials. We have been doing this for a few days now. the most important part in this chapter is the format

if a question is

ex.

to answer this, you need to find a number that can be added to equal to 5 while using those number to multiply to 6

some number for 5:

1+4, 2+3

multiples for 6:

1×6, 2×3

A similarity for these two numbers is 2 and 3

so the answer this question you need to separate the $x^2$

you can do this by putting them into separate brackets

(x + ) (x+ )

since both of the other number we are going to add them so that the numbers are positive.

now i need to replace the empty space with 2 and 3

(x+2) (x+3)

Now when checking answers…

you need to use the “claw” method.

The way to use this is to distribute all the numbers together then simplify the answer

One thing would be to add the x and the x

so the first part would be $x^2$

Then multiply the same x with the 3

then multiply the 2 with the other x

then lastly multiply the 2 and the three

now add all of those together…

$x^2 + 3x + 2x + 6$

for this you can add like terms together so i would add the 3x and 2x because they have the same variable

so my finalized answer would be $x^2 + 5x + 6$

This week in math 10 I learned how to find area and perimeter of a shape.

For perimeter you need to add all of the sides together

For finding area you need to multiply either the length times the width, or the base times the height.

This is helpful for answering any question when you are trying to find a square inside another square.

This week in period 2 math class, I learned something I’m not really familiar with. I learned about algebra tiles and how to make an equation with them.

In this image orange is positive and blue is negative, but for my class red is negative and blue is positive. But when there is no colour colored in is positive and white is negative.

some ways to use this would be solving an equation…

2x x 3

to answer you would put 2 positive rectangles to equal to 2x, then you would put 3 small squares to equal 3.

For me, these algebra tiles help me understand the question better than just looking at numbers and variables.

another way to use these algebra tiles is by…

so the question was

(2x + 1) (x + 3)

with this you write in a multiplication table, you put one half on top then one on the left side. Next you make a square of the whole thing. Then you use each space between variables to create new numbers. Then you calculate what is in the middle. For this question it would be:

This is what I learned this week and I’m finding it fairly easy and fun!

This week, week 5, we learned how to identify each triangles side in a word problem.

I learned how to tell which number goes where and which angle is which.

These are the notes I took about it on Thursday.

In math 10, week 3, we went over lots of different things to do with triangles and ratios. Some important details from this are the different types of triangles.

The first one is the Isosceles triangle. This triangle has 2 of the sames sides which only one of the sides different.

The next one is the right triangle, this triangle has one of the inside angles to be 90 degrees. Which is normally on the opposite side of the hypotenuse.

The third triangle is the equilateral triangle, this triangle is a triangle that has all equal side lengths. It is also known as a basic or normal triangle. And each side is at a 60 degree angle.

Finally, the last triangle is the scalene triangle. This triangle has all different sides. Each degree is different and each length is different.

This week we also learned all 3 ratios, them being, Sine ratio, Cosine ration, and the Tangent ratio. The equations for each ratio are…

Sine= opposite/hypotenuse

Cosine= adjacent/hypotenuse

Tangent= opposite/adjacent