Sheet outline

Initials

N

E

M

In this project I learned how to make shapes and letters on a graphs. I needed to find the slope of lines and make them start and stop based on their coordinates. I used the two coordinates of a line and used the slope formula to find it’s slope. Followed by slope point and  domain. The end would most of the time in a crisp positive or negative oblique line. I repeated   this process many times to create N.e.M. Something I struggled with was finding coordinates at some points. When I realized that I had a problem coordinate wise with my letter e, I had to rearrange my M. Sometimes I would get the coordinate wrong when typing it into the equation and that would throw me off and I would have to go back and check it.

This week in math 10 I learned the importance of slope and how we can find it. There is more than one way to find the slope of a graph. One is called a T-chart and one is called slope formula. In my opinion slope formula is the more efficient way to find the slope of a graph because the math is easier.

slope formula needs two coordinates (nice points) of a graph to work. To start, you take the y facture of the second coordinate and minus it by the y facture of the the first coordinate. if the first y facture is already negative, then you add it instead

ex/ : (5,-3)  (6, 4)      y’s = 4+3     because two negatives make a positive

the y’s are put directly on top the x’s, in the same process so that the finish product is rise over run

This week in Math 10 I learned how to identify special points on a graph to find a domain and range. Domain equals the X points on the graph and the Y points are the range.

once I learned how to identify coordinates on the graph, I was able to start finding nice points on line graphs of functions and relations, linear and non linear lines. However these relations are usually continuous, meaning we don’t know when they end on the graph, so we use the infinity symbol.

The points on a graph have a lot to do with how you read and write you domain and range

a dot or filled dark circle represent to be equal to or greater than the number to it’s right uses [.  ] brackets

an open circle equals not equal to and greater to the number on its right. Uses (.   ) brackets

infinity symbol means it goes on forever or there is an arrow at the end of the line uses (.   ) brackets

This week I learned how to factor trinomials.

in my example I listed all the possible factors for 16. when factoring trinomials an important clue to look for is the the multiplication factors of the the last term should equal the sum of the middle term. in my example of x squared+10x+16 I used the factor of 2 and 8 because 2×8=16 and  2+8=10

I learned how to do good midterm review. I actively studied and and practices using the class examples in our workbooks and practice tests. I surrounded myself with people who wanted to really get work done and I was able to learn things from them as well as reminding them of some things myself. The daily 3 questions that we did in class leading up to the test helped a lot s well.

I learned how to find the rule of a linear equation using a T chart and to solve the equation given what ever the number X is. I can then identify the coordinates and graph the equation.

in my example I can see that the Y indicators go up by 4 each time. that means the rule starts with 4x. Sometimes the beginning of a rule doesn’t equal the first Y indicator after we multiply the rule by 1 so we need to add. In this instance because 4×1=4, and we don’t need to add anything to equal the Y indicator, I know my rule is complete. I can use the rule to determine the rest of the coordinates ( x indicators and y products)

this week I was introduced to polynomial operations

for this question we were trying to finch area of the shaded shape. It is easier to find id we find all the possible rectangles first. After that is done we replace all the necessary X’s for 2.4 ( that is what this question asks for) after you have calculated all the equations and expressions with the replaced x and filled in all the new lines, you can begin to find the area. after all these steps it should look something like this.

Notice how we have to rectangles where we originally were looking for the area 8.4×0.4 and 2.4×5

A of 8.4 x 0.4= 3.36

A of .4 x 5 = 12

12 + 3.36 = 15.36

This week we reviewed grade 9 polynomials, how to sort by like terms, and using algebra tiles for a visual representation.

Somethings that were new to me were some of the vocabulary we learned. For instance, I didn’t know about the different types of degree. You can classify a polynomial expression based on it’s degree.

constant = degree of 0

linear = degree of 1.

quadric = degree of 2

cubic = degree of 3

quatric = degree of 4

quintic = degree of 5

This week we did a ton of solving trig equations, but now we’ve started to put them into words.

for example:

A mine shaft which slopes at an angle of 19 degrees to the horizontal is driven into a hillside for 400m. how much lower, to the nearest metre, is the end of the shaft than the beginning.

the shaft is 130m lower than the beginning.

This week we recaped what we already new about triangles. We revised the pythagorean theorom ( a x a + b x b = c x c ). we talked about different types of triangles,

obtuse = over 90 degrees, acute = under 90 degrees, right = 90 degrees

we also learned how to label a right triangle for a trigonometry question. The longest side, and the side directly across from the right angle is the Hypotenuse or H. There may or may not be a given angle. If there is, The side piece directly across from it will be called the Opposite or O. And whatever side is left, is called the Adjacent or A. Wherever the hints on your paper give you can use to find your trig equation, hence SOH CAH TOA

S= O/H   C= A/H.   T= O/A

Sine.      Cosine.     Tangent <——– These are what you use to write out your equation to find the missing pieces of your triangle.