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
In Chemistry, I learned about acids and bases and hoe they react with pH indicators. For example acids, such as vinegar and lemon juice turn blue litmus paper red. Bases such as oven cleaner turn red litmus paper blue. Because the paper reacts to the pH of the solution. You can also tell if a pH indicator is acidic or basic using the pH scale anywhere below level 7 is acidic and anywhere above 7 is basic. Level 7 itself is neutral/ pure water. we had to determine if a solution was acidic or basic based on its color change. I used my critical thinking skills to see how much and what color the substance to determine if the substance is acidic or basic.
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.
This week I learned about negative exponents. Although I still do struggle with them here and there, I think I’m starting to get them a little more. All numbers are fractions in disguise because they’re all over one. Numbers with a negative exponent are the same, but they are under one (as fraction). I learned when it’s helpful to switch variables bases with negative exponents
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I bake. A lot. so adding fractions is important to see how many cups I need. It also helps with weighing foods and multiplying recipes to see how many ingredients I need. math help when I go out with my friends and we agree to split the bill evenly because we need to divide it. or when you want to give a tip to your server and you need to see what 10% of your bill is. Math helps for measuring walls. we painted my room this summer and had to measure the walls to put in new beams and to see how much paint we might need.
