I have learnt a lot from math 10 this semester however, some things were more memorable than others. Here are the top 5 things I learnt in math 10 that I won’t forget quickly: 1. How to find the sine, cosine and tangent in a right triangle. To find the sine, cosine or tangent of a triangle, you first write out the equation. For example: cos x = but you…
This week we learnt how to solve a graphing equation using elimination. To start, you’ll get 2 equations for example: 4x-3y=2 and -4x-y=6. Next, you have to see if there are any 0 pairs. If there is, then the next step is to add the two equations together. ([4x-3y=2]+[-4x-y=6]= [-4b=8]) because the 4x and the -4x cancel each other out. Now, you want to get the y by itself. To…
This week we leant how to write in general form. The formula for general form is Ax+By+C=0. You can find general form by rearranging a formula written in slope y-intercept form which is written as y=mx+b. If you are given the equation y=3x+12, you can rearrange it so that it becomes general form. There are two rules for general form. 1. The A in the equation cannot be a negative number.…
This is how I graphed the points to make my initials. The coordinates are on the left side of the picture: This is what my initials looked like after finding equations: Here is the link so you can see the equations that I wrote to get the lines in the picture above. https://www.desmos.com/calculator/iegg8govk1
This week, we learnt how to find the slope of a line. The slope of a line is . The numbers that we’re using are (3,12) and (2,4). The 3 and the 2 are the x coordinates and the 12 and 4 are y coordinates. To find the rise, you have to subtract the two y coordinates. 12-4=8 so, the rise is 8. To find the run, you subtract the…
This week we learnt how to find the length of line segments. A line segment can be found on a graph and is often labeled on either end with letters (like A,B). To find a line length the question will give you the coordinates for where the line starts and finishes. For example they might tell you: point A(3,3) and point B(5,7) and ask you to find the distance from…
This week we learnt how to write function notation as well as find an answer to a equation written in function notation. You might start with an equation that looks like this: f(x)=3x+6 The question will most likely tell you that x equals a certain number. So, we’ll say that x=4 Next, you replace the 4 with any spots that say x so the equation is now f(4)=3(4)+6 Now, you…
This week we learnt how to figure out the x and y placements on a graph by solving an equation. You might receive an equation that looks like this: x=y+4 If you’re trying to solve for x, then the y always equals 0. If you’re trying to solve for y then the x is always equal to 0. So, your first step is to re-write the equation by replacing the…
This week, we learnt how to factor “ugly” trinomials. An ugly trinomial is a trinomial that has a number before the first variable (ex: ). The method that I use is a box. We’re going to use the equation 1. Your first step is to draw a box and divide it into four parts. Next, you put the in the top left part of the box and the +4 in…
This week we learnt how to factor simple trinomials. A simple trinomial is a trinomial where the coefficient of the is a 1. An example of a simple trinomial is: +5x+6. To factor an equation, you will start off with an equation like the one above. Factoring is basically expanding the expression. Breaking down an is easy because it just turns into two x’s. To find out how to factor…
