Pre-Algebra
Pre-Algebra is all about learning the basics and reviewing what you learned so far, as well as learning new expressions every day. You will review things you know, and don't know.
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Task Presentation
In this particular project, we were given several tasks
Graphing
One of the most important topics in pre-algebra is most likely graphing. With graphing, comes many other subjects, such as finding the slope. When graphing, we use the ordered pairs y and x, that are represented by the x and y axis. The x axis runs horizontally, while the y axis runs vertically. When you receive a pair such as (7, 4) the 7 stands as the x, so you would go 7 spaces to the right from the origin(0,0), and go 4 up, since it is a positive number. Now, if you would like to determine if the function is constant, you can try to do the vertical line test. The vertical line test is basically, all your ordered pairs in a line, then you run lines through them vertically, and if two points go through the same line, then the function isn't constant, but instead, considered a variable. If the ordered pair is something along the line of (-4,8) then you would do the exact same process, EXCEPT instead of going to the right 4, you would go to the left 4, simply because it is a negative number. The correlation between two points is known as the slope. There are several ways indeed to find the slope of the line, but in my own opinion, I believe using the rose over run is the simplest method. To use this particular formula, you would look at the rise, which is the distance in height between the two points, and the run, which is the length difference of the two points. After gathering the two numbers, you could put them into a fraction. *Simplify the fraction if it's needed.*
Figuring out the points from the equation itself gets rather tiring and takes a while. Non the less, you have to graph it afterwords. Managing time will help loads, especially on a test. If you ever find yourself short on time, then pace yourself, but don't go too fast, or you might forget a step. Afterwards, check your answers to make sure that you completed it, and your graph makes sense. Sometimes, a graph may seem a bit off, so you should look into that to find the mistake you may have made.
Figuring out the points from the equation itself gets rather tiring and takes a while. Non the less, you have to graph it afterwords. Managing time will help loads, especially on a test. If you ever find yourself short on time, then pace yourself, but don't go too fast, or you might forget a step. Afterwards, check your answers to make sure that you completed it, and your graph makes sense. Sometimes, a graph may seem a bit off, so you should look into that to find the mistake you may have made.
Inequalities
Math in general can seem pretty simple, that is until you reach inequalities. When I first took a glance at my math book I told myself that there was NO way I was going to memorize how to do the content. When my teacher went over the context, I still had no idea on how to graph inequalities. *Side Note( Learning the signs was an important part of graphing inequalities. Greater than, less than, greater than or equal to, or less than or equal to are displayed on the picture to the left.)* Say if you had an equation such as m is less than 4. That would be pretty simple. First you would me a line and plot the numbers on it. then you would look at where 4 is, and since m is less than 4 you circle the 4 and draw an arrow going to the left, symbolizing that m can be anything less than 4.
That is pretty simple, but if you had m is less than or equal to 4, you would keep everything the same, accept change the open dot to a closed dot. Graphing inequalities are simple, once you get practice in. Graphing the inequalities isn't exactly the essential part, but having the knowledge of doing that will make inequalities much easier. *The closed dot is for greater then OR equal to, and the open dot is just greater then.*
That is pretty simple, but if you had m is less than or equal to 4, you would keep everything the same, accept change the open dot to a closed dot. Graphing inequalities are simple, once you get practice in. Graphing the inequalities isn't exactly the essential part, but having the knowledge of doing that will make inequalities much easier. *The closed dot is for greater then OR equal to, and the open dot is just greater then.*