Category: Grade 10

Week 7 in math ten

this week in math I learned about multiplying polynomials. I learned a bit a bit this last year but very little and I found that last week we we’re taught some very good strategies that have helped me a lot when figuring these out. I really liked using the multiplication grid when solving any equations or even when factoring equations. I find its effective and It lets me see the pattern in the numbers which I think has given me a better understanding of polynomials.

 

I struggled a bit when it came to figuring out area models but I asked some friends for help with that and I think I understand it now. I think that the multiplication table could even be great for multiplying large numbers and I find that once you find different strategies to solve equations polynomials are a lot easier then they seem.

week 6 in math 10

this week in math we started learning about polynomials. From what I remembered from last year I thought polynomials would be pretty easy. but I had forgotten a lot of the terms and the equations you use to solve with. The first day I was confused but then I started to get use to the terms. some examples of that are degree, binomial, coefficient. I feel like the review this week has been good but one thing I learned was a lot of new strategy’s to figure out equations which involve multiplying polynomials. one of those was by using the distribution method of putting everything into smaller sections and multiplying them individually.

here is an example of that method

2(3x-1)

2(3x)    2(1)

answer= 6x-2

Week 5 in Math 10

This week in math ten I learned how to calculate angles by using trigonometry ratios (sine,cosine,tangent) we had previously learned about this a bit last week but we learned about it more in depth this week! To do this you need to use the two measurements you have on the outside and use the inverse of whatever ratio you are using.

The equations should end up looking something like this

A = sin−1(x/y) 

i also learned about the angles of depression and elevation and how they can help us when solving word problems

 

Week 4 in Math 10

This week in math ten I learned a lot of new stuff about right triangles and I learned a lot of new stuff about trigonometry. For me I never practiced anything to do with trigonometry so this was completely new stuff but it was a lot easier then I thought.

I learned about sine, cosine, and tangent ratios and how to put them into my calculator. I also learned that by using these ratios we can figure out the side of any right triangle. You need a calculator for this but I find that once you get the formula down it is a lot easier than I thought it would be.

One other thing I learned is that you can use similar formulas to figure out the inside angle of a triangle which is needed to use the sine, cosine and tangent ratios

example:

  • Sin 30° = ½
  • Cos 90° = 0
  • Tan 45° = 1

Week 3 in Math Ten

This week in math we learned about negative exponents. I thought they we’re very interesting to learn about because it’s such a simple concept but it can change your whole equation. it’s also very funny to me that the only thing you have to do to get the exponent positive is move flip it with it’s reciprocal which in many cases is just one.

when we got to bigger equations I started having more trouble with remembering that rule but with more practice I think it will become a lot easier.

another thing I learned was scientific notation which is linked to negative exponents and just exponents in general. it was a much easier way to write big numbers and I am hoping that it will help me in science this year.

an example of scientific notation is  456200=4.562×10^5

Week 2 in Math Ten

 

for me this week I think think I really strengthened my skills in prime numbers.

at first I thought it wasn’t the most important things to learn, but the division tricks we learned have really helped me when doing some of the homework and I think that will continue to be a very useful skill that I will for sure use in the future.

I also think it was very good that I reviewed the rules for exponents because even though I thought I had those kinds of question down I still struggled a bit a first but now I think I’m a lot for prepared for that unit and any other questions that involve exponents.

ex:

72=2^3\cdot3^2

i had also needed to be refreshed on exponents that involve variables so that was very helpful.

 

in the end I think  this unit was very helpful review and I think I learned some very useful stuff that will help me with math ten this semester.

division tree example:

18

/\

9×2

/

3×3

 

(I did my best for this example)

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