## week 13 in math 10

this week in math 10 I learned how to write an equation for y by looking at a set of numbers and using a T chart. for example this set of numbers:

-5,-2,1,4,7,10,13,16

we would draw out a T chart with the left side as X and the right side as Y. x being the input, y being the output. then under the X we would write 1,2,3,4….. and under the Y we would write our -5,-2,1,4,7,10… now we have to find a rule that will get the X number to the Y number, that will also work for all of the numbers. so 1 to -5, 2 to -2, 3 to 1, 4 to 4, 5 to 7 and so on. we can write the pattern of the numbers along with the starting point “start at -5 increase by 3 each time.” because its increasing by 3, we multiple 3 with X and then add/subtract a number to get Y. y=3(x)+or-#

replace x with a number 3(1)= 3 and we have to get to -5 so the equation would be 3(1)-8=-5. we can check if 3(x)-8 works for all the pairs of numbers by replacing X and if it does then the rule for this pattern would be 3(x)-8

## week 11 in math 10

this week in math 10 i learned how to make a trinomial that has the “pattern” ( , x, #) look “nicer” if it was written out in a jumbled up order. ex 5x-+40 is written as x, , # rather than , x, #. so we can write it as – +5x+40 now, the is negative so when we find the greatest common factor, we can take -5 instead of +5 to make it positive, which would also switch the other terms to their opposites, so – +5x+40 is now -5( -x-40)

## week 10 in math 10

this week in math 10 I learned that if we have a binomial that says for example, this is considered a perfect square because = (x)(x) , 81= (9)(9). there is no middle term because when factored it would look like (x-9)(x+9), then if you were to expand this back out, the -9 and the +9 would cancel out and become 0, leaving the answer to be a binomial instead of a trinomial. (x)(x)= + (x)(9)= +9x (-9)(x) = -9x (-9)(9) = -81

+ 9x – 9x -81 . the +9x and the -9x cancel out to be zero

for this to be a “perfect square” we need to make sure that each term is a perfect square and that the sign is subtraction, not addition

## week 9 in math 10

this week we started our unit on polynomials, this was mainly review but i learned how to model binomials multiplied by binomials or binomials multiplied by trinomials or trinomials by trinomials etc, by using an area model. i also learned that you can use this type of model to model more than one digit number multiplication. for modeling polynomials, its all done in a box. if i had ( )(x-5) you would draw a square and divide it into 4 even squares, one for each piece of the expression and along the top you would write then along the side you would write x-5 and you would fill in the box as if it were a multiplication chart so it would look like this….

then you add all of the squares together and combine like terms to get a simplified expression

## week 8 in math 10

this week in math 10 I learned how to check that my answers are correct when solving a triangle, so I know that 90⁰ is greater that 45⁰ which is greater than 1⁰, also to remember that the angles in a triangle add up to 180, if my triangle looks like this after ive attempted to solve it:

i need to make sure that angle B is greater than A which is bigger than C, because angleB represents 90 degrees which has to be the largest, angle A represents 60 degrees which would be the second largest, it is between 89 and 45. and angle C would be the smallest because its 30 degrees, between 45 and 1. then the side lengths across from those angles also have to be greatest to smallest in that order.

## week 7 in math 10

this week in math 10 we started our unit on trigonometry. I learned how to use my calculator to calculate the side lengths of triangles using sine, cosine and tangent. I also learned that you can also calculate the angles ex if sinB= 12/30, where B is the angle, to find the angle you put and get 23.57812….rounded to the nearest whole number = 24 degrees. I also learned how that works, so we have sinB=o.4 and we have to isolate B so we divide each side by sin which equals . now we have to move to the top of the fraction so it becomes because the exponent of 1 now becomes negative. then you punch into a calculator to find B

would look something like this:

## song analysis and Building an understanding- english10

- In this song he is saying that this girl is pretty much perfect and has no need to change.
- Bruno mars is speaking to this girl saying that shes perfect, doesn’t need to change etc etc
- words use of denotation. Abstract thinking ex. “when you smile the whole world stops and stares for a while” when she smiles he thinks more of it, not just as some girl smiling out of happiness, the smile means something to him.
- I don’t think the tone changes because the whole idea of this song is him saying how perfect this girl is and that doesn’t change throughout the lyrics
- each stanza ranges from 3-8 lines. the song repeats ex “her eyes her eyes make the stars seem like theyre not shining” and this pattern continues with other compliments he gives such as ” her hair her hair falls perfectly without her trying” the first stanza is AABCCB
- the title is good “just the way you are” considering the song is about a girl being perfect just the way she is. I think theres some symbolism in this song, when he describes “when you smile the whole world stops and stares for a while” her smile is a symbol of something that is bright enough or noticeable to turn heads
- the lyrics definitely affect the reader of the poem because this guy is saying all of these nice things about a girl, it just makes you think of how shes feeling by this and how sweet he is to do so