Mathography
Hello Cate community, my name is Pierce Lundt and I am a freshman boarder at Cate. Math has always been my favorite subject in school and I especially enjoy solving equations with variables.
Problem #1
This was a required problem assigned to this topic (17.8).
17.8) Alden paid to have some programs printed for the football game last weekend. The
printing cost per program was 54 cents, and the plan was to sell them for 75 cents each.
Poor weather kept many fans away from the game, however, so unlucky Alden was left
with 100 unsold copies, and lost $12 on the venture. How many programs did Alden have
printed?
17.8) Alden paid to have some programs printed for the football game last weekend. The
printing cost per program was 54 cents, and the plan was to sell them for 75 cents each.
Poor weather kept many fans away from the game, however, so unlucky Alden was left
with 100 unsold copies, and lost $12 on the venture. How many programs did Alden have
printed?
In Problem 17.8 You just had to know how to actually set up the equation because once you started to solve, it became a lot easier. One thing that you should keep in mind while solving these types of equations are the variables. You have to make sure you know which variable associates with which equation or it becomes a lot more difficult.
Here is more on how to solve systems of equations with substitution with help from PatrickJMT.
Problem #2
This was another assigned problem to this topic (21.11).
21.11) Alex was hired to unpack and clean 576 very small items of glassware, at five cents
per piece successfully unpacked. For every item broken during the process, however, Alex
had to pay $1.98. At the end of the job, Alex received $22.71. How many items did Alex
break?
21.11) Alex was hired to unpack and clean 576 very small items of glassware, at five cents
per piece successfully unpacked. For every item broken during the process, however, Alex
had to pay $1.98. At the end of the job, Alex received $22.71. How many items did Alex
break?
Problem 21.11 is very similar to Problem 17.8. Making the equation was the difficult part, however after you did that it was relatively easy to solve. One thing that you could have trouble with are the decimal points. If you write one wrong decimal place the whole equation falls apart.
Problem #3
I chose to make this problem because I wanted to introduce elimination but the problems I saw in the book were too complex to begin with. Therefore I started with a more simple equation so people could get the basics down first.
In this problem I covered the basics of elimination without having to change the equation or use decimals.
Problem #4
I used problem 40.8 because I needed a problem from the future. I also chose 40.8 because you have to multiply before you can solve using elimination.
On problem 40.8 my objective was to show the observer how to solve a system of equations by using elimination. I also added an extra part by having to change the equation so you can use elimination.
Problem #5
37.6 was a problem in the future. I chose this problem because this problem was not a word problem such as problem #1 and #2.
37.6) 9x−2y = 16
3x+ 2y = 9
37.6) 9x−2y = 16
3x+ 2y = 9
Problem 37.6 was very different compared to the problems before it. I solved problem 37.6 a different way by using something called elimination. This is similar to what we did in Problem #3 but this problem was different because of the added decimals. It is different from substitution because in elimination you subtract instead of multiplying. I find elimination to be much easier because I do not have to keep track of the different variables or make my own equation.
More on how to solve systems of equations using elimination by patrickJMT.
Conclusion
I felt that I was successful in teaching how to solve system of equations. I had a variety of equations that all helped demonstrate what I was trying to teach. I also showed how to solve systems of equations using elimination and substitution which lets you have options if you face these types of problems wherever you go. Finally I felt that I became a lot better at solving systems of equations myself which will benefit me in this curriculum.