Goodbye for now...

Some of you I'll see in a couple of days, some will never have me as their teacher again.  Thank you for the time we spent together learning.  I'm always here if you need anything!

Jackson

D.E.V.-Video link

Mr. Jackson,
Below is a the math video that doesn't have sound in my powerpoint.
http://www.youtube.com/watch?v=0fmL4Fe2CUg&feature=youtu.be
Emily

Dev Elliot D

https://docs.google.com/file/d/0BxE_sZXFKOxYbG03MnJkSjFnM00/edit?usp=sharing
Powerpoint in link provided

This was a good way to finish off the trimester to prove we have learned the material and as a partial way to study for the exam. By demonstrating our knowledge base of the subject, we will become more adept at utilizing it. One way I could have improved upon my project is to have spent more time on it and made it alot more intricate, or possibly cover more units, or going more in-depth as to what the variables do.

D.E.V. Big Pappa & Morgan E.

Big Pappa:  I chose these concepts because I believe they are somewhat challenging yet, with enough time, are easily understandable.  These concepts are the ones I understand thoroughly and are a good representation of what I have learned this trimester.  I believe this assignment was an exceptional way to wrap up the trimester in that it provided substantial review before the exam. 

Morgan: I thought this was a good project way to end the trimester. It was a good review over every unit that we have done so far. I think that one way that the project could be in proved is you do show us how to create our own problem that would help me a lot because I would get almost all the way through a problem then i would realize that it didn't work, and that was a pain to have to go through and redo the problem. I chose the concepts I did because they were the concepts I was the most comfortable with. This problems show an overview of this trimester because these these problems cover almost all of the units that we went over in this trimester.

D.E.V.

Reflection:
I chose these concepts for my D.E.V. project because I really enjoyed these concepts.  They were challenging at points but still nice enough to understand and not feel completely over whelmed.  I feel that these problems provide an accurate sense of the trimester.  There is a variety of different skills involved in these problem sets, such as factoring and simplifying.  I feel content with what I took away from these units.  This project was beneficial to my education in many ways.  I had to manage my time wisely, and self motivate.  Most teachers give you an assignment and constantly remind you of  it, while this assignment was given well in advance and I didn't have a teacher breathing down my back to make sure I completed it.  I was responsible for my own schedule.  This also served as good review while preparing for the exam.

I learned log before，it good review for me.I think my best part is expand each log

Zach & Abe DEV

Abe:

We created chose these math concepts to help us review for our exam, we chose a website format because we thought it would be easy access for anyone who would like to use it later, and we chose the Lord of the Rings theme because we thought it would attract people's attention/it is awesome.  These problems provide a glimpse into each unit our this trimester and provides a step by step example of how to get those problems done.  I didn't learn any new material but it did provide a good review for the exam.  In the future I would not like to repeat work, re-go-over work but instead to learn more.

www.lordofmath.weebly.com




Zach: 

Why did you choose the concepts you did to create your problem set?
We thought that creating a website would be easy and fun. How do these problems provide an overview of your best mathematical understanding of what you have learned so far?
We used a more real but creative way to show how the problems can affect life. To show our understanding of the math Did you learn anything from this assignment? Was it educationally valuable to you? (Be honest with this. If you got nothing out of this assignment then say that, but be specific about what you didn't like and offer a suggestion to improve it in the future.)
I did not learn anything new it was more of a review which i did help me remember and understand what we did earlier in the Trimester. 

Lordofmath.weebly.com 

Dev project - Alli Hope and Abbey Soule

Click to view blog

DEV

 http://prezi.com/42lw_jm8skf0/present/?auth_key=n2jnjcj&follow=wx9nj1vucksq

This Prezi took quite a bit of time for me, but I think it was worth it.  I really enjoyed this project, even if it was hard and time consuming.  I attempted to span as many concepts as I could with my four problems, but I suppose Mr. Jackson will be the judge of how well I did so.  This assignment also helped me dive even further than I had previously into topics, and truly understanding how they work. I also learned that procrastination is a huge enemy of mine.  I knew that before hand, but didn't quite kick it the way I should have.  I tend to think about what I am going to do for more time than I actually do it, which can be problematic.  Nevertheless, it's done, and I can say I and proud of my work.

D.E.V. Project

https://www.dropbox.com/sh/08tawizo5ms57g9/tMORZY74fT?m


I chose the 4 problems:
Completing the Square
Long Division
Diving Rational Equation
Expansion

I chose these because these are some of the strongest types of problems for me. I tried to make it as challenging as possible and worked hard on this project! I hope you enjoy it!

I used various units for this project! i had strong points in each unit and the I picked the best ones out of them. I made them challenging and surprisingly at times they were challenging for me to solve, and I was the one that created them! I made it themed and brought out my nerdiness and love for this movie series! This project took me forever and I worked hard! but in the end the result I think is so worth it! Hope you like it just as much as I do!!

B.O.B. - Reconstructing Logarithms

Basically the only problem I had in this unit was the problem I have consistently when trying to figure out logarithms: how to rearrange them into exponentials. After three or four successful reconfigurations, though, I catch on. This unit wasn't very difficult otherwise, except for some of the adding logarithms problems where I was confused the order of steps needed to finish the problem, but once again, with a little help from Mr. Jackson, all my questions were answered. :)

DEV project- Morgan and Margaret

https://www.dropbox.com/s/iej6xd6azgfkkiw/Final.pptx

D.E.V. Jason and Devon

https://www.dropbox.com/s/9kt8e6eixkk2pq9/Math%20Project.pptx

-Jason and Devon    2nd Hour


Jason's Reflection:
                For the most part our project went very smooth.  We spent a good chunk of time right from the beginning setting up how we wanted our problems to work out and what kind of format we wanted.  Most of our problems are set up to include almost an entire unit worth of material.  It was nice for me cause i could easily see the different things we have learned this tri being used with the kind of questions from the unit that we would see them in: a sort of timeline or summary of the class.  Because of this fact, these problems show my best understanding of the material.  I spent time bridging mathematical ideas into different questions to show i really knew how to do it.  Overall, i believe this project was educationally valuable.  It not only served as a review for the unit but it also helped point out little errors i had been making in some of the math.

Devon’s Reflection:

                We chose to use PowerPoint to supply information on how to solve pre-calculus questions. We tried to make every unit incorporated and display how to solve many complex functions. The power-point part was easy, the videos on the board took a long time and we spent a majority of our time planning and creating the questions. These questions display our understanding because of their complexity and the amount of detail spent solving the functions. I used most of the skills I already knew so I don’t think I gained too much information, I did learn better skills with power-point but my math didn’t advance. In the end the power-point wouldn’t upload on my computer and Jason had to bring his laptop and download it through that. All together things went pretty smoothly and it turned out to be a fun assignment. 

Shaun and Dillon Dev

Link to our project: https://docs.google.com/document/d/1ezkczPZlSjyOj9owtnPPPBbtN7R0-5EsKMcy9yclqq4/pub

Shaun’s conclusion: 

For my Dev project I chose a solving rationales problem and a quadratics problem and Dillon and I worked together on a grouping problem. I chose the solving rationales problem because I understood it well and it seemed to be a harder concept for others. I chose the quadratics problem because I wanted some review on quadratics and I wanted to make sure I could still write problems in terms of y. we did the grouping problem together because it took us a while to come up with the problems. I thought that these problems cover what we learned because I did a problem that was easy for me; one that was more difficult that I needed review for it and then one that took both of us to create. From this project I learned that in class we do a good job of always using our previous units so we don’t forget anything. This project was a good review for any small things that I might have forgot how to do. I also learned that it is much easier solving problems then it is to create them because to create them we pretty much had to start with an answer and work our way back to what the starting problem would be.

Dillon's conclusion 

                       For my Dev project I worked with my partner Shaun on 5 problems.  We split up the work a little bit and did 2 problems each and the last one together.  I did a dividing by polynomials problem and a rational problem that is made into a graph and the last problem we worked together on was a grouping problem.  Overall I chose to do these to problems because I felt that they had a lot of little things in them that if you messed up then you would kind of screw up the problem and felt I needed to work on this.  In the long run the project was a bit difficult but pushed Shaun and I to get creative and think about these problems from a different perspective than we have before.  This became more interesting because on problems like dividing polynomials it became a lot more difficult to make a problem because making a division problem starting from the answer and going back is a lot more difficult than it should be, but helped me see a lot more small mistakes I had made in previous answers.  I think that is project was well worth doing because it helped us look back at problems and refer to our notes a lot and kind of reviewed the old problems we have not done in awhile.  In class I feel that we do a great job on reviewing past material that we learn and that this project will be very helpful for the exam.

B.O.B. Reflective Comment

This last unit was pretty easy. I have a couple more questions to ask before the exam, but all in all a not bad at all. Also some of the stuff we discussed helped for the ACT. So that was a bonus! Actually all the stuff we learned this trimester was very helpful for The ACT and both days of MME. Thanks Jackson

 

DEV. Corie and Savannah

https://www.dropbox.com/s/roz35w97kby5s46/DEV.pptx

Savannah's Reflection:  This project ended up being a lot harder than i thought it was going to be.  It was very time consuming and had its difficulties at times. In our project we started off with the easiest problems first and then worked our way up to the harder ones.  One problem I'm glad we did was an inverse problem because I always struggle with them but after this project they seem much easier to me.  I love the project because it's lord of the rings based and it was very fun to create and actually made me remember how to do certain problems from different units.

Corie's Reflection: I found this project to be a bit difficult. It wasn't impossible or something that was super hard on me, just more difficult than I originally thought it would be. Plus this project ended up being very time consuming. Coming up with a problem could take anywhere from five minutes to an hour of working. Plus doing this with powerpoint made it very time consuming, going through and explaining a problem, with animations and trying to make it creative could take 2+hours of work, for one problem. I did like the project based on that we were given a lot of independence for how we wanted to go about it, especially with the creative aspect. I think the units we chose were very good to show how Savannah and I understood this class. We did problems that we found a bit challenging at first but learned later on how to do them well. So this showed what we learned throughout this class. This project made me really learn about how precious time is and what needs to be done with it. Also it put me in the teachers position, which I had never been in before and found somewhat difficult to do. Overall I think it's a very good project and fun to do, as long as you don't procrastinate too much.

Misty Mountains

Soundtrack

Shire

BOB Logs

I personally loved this unit.  I had a very small understanding of Logarithmic functions before hand, but now have a fairly good grasp on them.  This unit especially helped me further in my AP chem. class, since we have been using logs in the last few units.  I always enjoy learning what is behind the math, rather than just how to use it, and this unit definitely helped me with that.

D.E.V-Project Emily

https://www.dropbox.com/s/hvift4uzunxfdl7/D.E.V.%20project.pptx
Reflection:
This project honestly was kind of hard for me. It looks easy on paper, but it really was not. It's something that can be done in an half an hour, but done well? No way. The thing I had trouble with was creating problems and finding the best way to solve them. A lot of them I had to check my work more than once, because each time they just wouldn't add up. A lot of the times it was simply, that I forgot to distribute a negative sign or added something wrong, but because of that I had to erase everything and start over. The problems I created weren't super hard but to me these problems were kind of hard. I tried to tackle the type of problems that I struggled with the most. One of them was dividing polynomials and factoring them by grouping. I actually struggled creating this problem the most. I also had a friend check over my work to make sure I was actually solving the problem right. This project was difficult but, it was also fun for me. I got to play around and experiment different ways on how I could explain how to solve the problem. I also had fun creating funny cartoons to go along with it. I hope that through my project you can tell that I did take the time and effort to think things through and how much fun I had creating horribly stick figures.

(I also had trouble with the video it wouldn't play with sound no matter how much I tried. If you have problems with the video please tell me and I can try to fix it. )


Below is a the math video that doesn't have sound in my powerpoint.
http://www.youtube.com/watch?v=0fmL4Fe2CUg&feature=youtu.be


Thu

Dev

https://www.dropbox.com/s/7v74u0j689k5z6z/DEV%20project.pptx

Patrick's Response:   I have chose four problems that reflect my ability in the class. They show the abilities i learned over the course of the class.  The project forced me creative during mathematics class.  It showed my ability to add, subtract, multiply, and divide.  I found this project to be easier than a test, but more time consuming.  I am glade this class is almost over.   

Log BOB

Solving logarithms and exponentials was completely manageable for me. Changing from logarithm form to exponential form and exponential form to logarithm form was just a matter of following the patterns. Then, applying that to an equation wasn't that hard. It was nice to follow and understand something we were learning.

a haiku about this unit:

math is really hard

but i can follow patterns

maybe i will pass

Logs BOB

This unit wasn't that hard for me at first but then I missed a day and it seemed like i missed a lot but then after a few of the papers we did it all started to come back to me and now I think this was a pretty easy unit.

DEV Harris

https://www.dropbox.com/s/4rha42m0ty2d9r2/Developing%20Expert%20voice.pptx


Harris' Reflection:  choose the Problems that I did because they were from units that  understood well. except for the dividing/multiplying/adding/subtracting rationals,  that was the one unit that  felt that i could use some work on, and by doing a DEV problem on it, I was able to better understand it. These Problems provide an overview of my mathematical understanding because they show what I have learned over the course of the class. I struggled with all of them a little, but in the end I feel like I got a good understanding of them. I feel like this project has taught me how to formulate my own ideas into problems for others to solve, and it has also taught me to not procrastinate, I probably shouldn't have waited until the last two weeks before the project was due to start working on it.

BOB #3 Logs

This unit was probably the hardest for me, I don't really know why I have used logs like a million times it's just sometimes the rules just don't make sense to me. I finally got my act together though even with the crazy schedule this past week. Overall I would say it was a pretty good end to the tri.

Dev Project

This project was a little crazy for me, after basketball season got over I kind of forgot what I need to do because I didn't really have my daily routine any more. I finally finished it though, this project helped provide a good review right before the exam, some of my problems took turns even I hadn't thought of yet. I tried to make the problems at least a little challenging yet still tried to include all of the units I think I finally accomplished my goal. This project really show me that teaching is hard and I will try to think of this now every time I'm about to criticize a teacher, because honestly they have a tough job and I didn't even have to deal with students!

http://prezi.com/b5ey0_qilkto/untitled-prezi/?utm_source=website&utm_medium=prezi_landing_related_solr&utm_campaign=prezi_landing_related_owner

Alexis' DEV

http://mathprojectalexis11.weebly.com/index.html

All of my problems and reflection are in this website so hopefully it shows up! 

B.O.B Logarithms and Exponentials

The Logarithm and Exponential unit was pretty straight forward for me.  I learned the unit really fast and did not seem to have a problem doing any of the problems that Mr. Jackson gave me.  It was a lot easier than the first unit we did.  Turning logarithms into exponentials was quite easy for me and vise versa.  I thought that the whole unit was a breeze and could do it all over again.  If we would have had a test I probably would have done very well on it.

Log & exponential BOB

I liked this unit the most I think. Too bad we didn't have a test on it, I probably would've done the best I've ever done on one. But one thing was kind of difficult for me and it was when two logs are equal to each other and you have to combine them into one. I got help from mr Jackson and I understand now, but that part of the unit was the hardest for me.

Logarithms BoB

My "muddy point" of the logarithms unit would have to be the natural log and continuous sections as well as switching between log and exponent form.

Just memorizing the switching formulas (logbA=C , B^C = A I think) was quite a chore at first, but after a bunch of practice, I kindof mastered it.
and thinking about the continuous concept was a bit difficult to understand at first, for example i thought it meant like, it was constantly growing, not like over a year, the population has grown by 5%. I thought of it more as its growing by 5% every minuscule amount of time.
If that makes any sense at all.

B.O.B

Considering the fact that this unit was only four days long, I was doing really well in the beginning. Then I missed the day where we learned most of the information about solving logarithms due to the school supplies drive. When I came back, I thought I had learned what I missed and was able to us it... then I got to the trimester review. I tried to look back on the papers, but I still couldn't understand what the problems were even asking me. I asked for your help and felt a little better, but was still was not feeling very confident. Altogether I would say this unit was not my strongest.

B.O.B. - Reflection

I really didn't even know what a log was before this unit. It was difficult to switch between log form and exponential form at first. With practice, though, it became easier. This unit was really short and I was gone the very first day of the unit. Even with being gone I was able to catch up pretty quickly. I feel nervous for the exam, but I'll be ready after I finish the review.

B.O.B. Reflection

At the beginning of this unit i had no idea what a log even was.  I've come a long ways since then.  I can now simplify logs, solve them, and know how to change them to their exponential form.  I think the hardest part of the unit for me was the bases.  I didn't really understand it at first but after i figured out how the log changes to it's exponential form and learned the change of base formula it made sense.  Now hopefully i can do good on the exam.

-Jason

B.O.B. Muddiest Point

The logs and exponential unit is really simple, I understand that... But because of the ACT and MME, I haven't gotten a chance to actually sit down, and work my way through the unit. If I look at my notes, I know what I'm doing, but I haven't studied it quiet yet.
So I guess right now, the whole unit is my muddiest point... But Now that ACT/MME testing is over, I can finally sit down and work my way through the unit!

B.O.B.- Progress

I've worked with exponential but, not so much logs. The first time I even heard of a log in math form was in my chemistry class. I didn't really get what a log was for or what it did in chemistry. Luckily, we only worked on logs in chemistry class for less than a week. Learning about logs in functions, I felt that I got a better understanding of what logs are. I also found the changing of bases hard at the beginning, but after looking at a couple problems I understood what was supposed to go on top and what was supposed to go on the bottom. I didn't feel that this unit was either hard or easy, but just right in the middle. So far, I don't have many issues with this unit my only question is that how do we does this problem relate in the real world? Just a curious question.


Thu

Log B.O.B

This unit took concepts that I had a little experience with and took them further.  The change of base formula was extremely helpful as I did not have the new operating system.  It was neat to see this apply in other areas as in AP chem we were just dealing with pH and logs(pH=-log( [H+])  I feel like this unit went by very quickly  but there wasn't a lot of depth to the concepts which was okay with the limited time constraints (i.e. snow days, ACT/MME).  This unit felt fairly easy for me and I hope it goes well come exam time.

*The other day you said you were frustrated with the content of the blog posts of some people.  I guess I don't feel like I have a firm grasp on how in-depth or much you want us to talk about each unit.  This would help as I have you again next tri 1st hour.

B.O.B Logs and Exponentials

I was able to find problems from this unit in the "real world." There were a couple problems on the ACT and MME. When I saw them I got really excited because I knew exactly how to find the answer. Not only did I see problems from this unit, I also saw problems from other units. I never would have thought that I would find logs and exponents on the ACT and MME! So, THANKS JACKSON!!!

B.O.B. Log's and Exponential's

Have you come across something we discussed in class out there in the "real world" or another class? Describe the connection you made.

The couple days in class when we went over logs and exponential actually helped me a lot on a couple problems on the ACT because we had just reviewed them/learned more about log's and exponential's I was able to answer the couple questions that I ran across on the ACT. Another time that I used log's was when I was in my physics class and Shoemaker started to wrote a couple log problems and because we had just done them in class and learned them I was able to use what i learned to figure out the answers to the questions. That is how the logs and exponential's unit has helped me in the past two weeks in my Physics class and on my ACT.

Thanks,
Morgan Ekovich

B.O.B

This unit was probably one of the easiest and shortest units we have had.  Through the unit I didn't really have any troubles with anything and thought it was all pretty easy.  One thing that I thought was neat was learning about the new program in the calculators.  It's nice not having to do an equation when you don't have a log base of ten and just typing it into the calculator.  It made things much easier and moved along with the process faster.  This trimester has taught me a lot and I'm excited for next tri.   

B.O.B. Logs and Exponentials

Throughout this unit I have studied very hard and maintained homework habits in an attempt to better myself. Although I was studying more, I still had trouble with the concept of a log to the power of a log. It took me awhile to figure it out, and I feel as though I fully understand the concept. Whenever I need to know more, I will definitely study to improve my understanding.

Exponential and logs

Exponentials and logs was a quick unit. I had a habit of not doing well with logs and was nervous to have only a week and was expecting to be left behind. What I found difficult at first was remembering how to convert between forms. I found, later that it wasn't as hard as I made it seem and I give credit to you for supplying good teaching techniques. Exponentials can be fun In a sense I particularly enjoy solving. This is Devon with my last B.O.B signing out

Connection to another class

Yet again, AP Chemistry and precalc tied together. Although very different concepts, both classes are using logs right now. I understand the logs in precalc, but sadly, that did not help me in chemistry. They are used very differently. We are using logs to find pH in chemistry now and it's quite confusing. I thought it was neat that logs can be used for two very different concepts in two very different classes.

Bob

This last unit has been one of the most useful.  Most all of the class has been review, but my knowledge on logs was quite limited.  So the short unit on logs has taught me the basics.  Now i just wish i could of taken the class last year, when i scheduled it.

Tori, Hannah and Nathan DEV

http://dl.dropbox.com/u/55848637/DEV%20project.pptx
http://dl.dropbox.com/u/55848637/DEV.docx

Nathan Reflection:
I felt that this project allowed me to go back through previous units and remember why we did certain things and how we did those.  Looking at problems from the point of creation makes you think more about the process and helps you understand what you are supposed to be doing.  I liked how we could work with groups and they could give you feedback on how to improve your problems and solve them.  This project gave me a great review of previous units and allowed me the freedom to apply these concepts into real-life situations. 

Hannah's reflection:
The main reason that I chose these problems was because I felt that I excelled at these topics. I wanted to choose topics that I thought I could explain and teach the best. Also, I wanted to cover as many units as possible for a better review. Since these problems cover multiple topics, it shows that I understand the material and can teach others, not just do things because Mr. Jackson said it works. I learned quite a bit from this assignment. I already understood each unit individually but having to put them together into one project and explain each was a great review. However, I did not like the pressure of using different media tools. I felt more concerned about earning bonus points with creativity than the actual work. Overall, I felt the project provided a great review.

Tori's reflection:
I chose the concepts I did for my problem set because I felt I was good at farmer Ted problems and graphing polynomials. I understood the concepts and enjoyed doing the problems. The problems provide an overview of my mathematical understanding because in this project you had to explain the concept and prove that it worked and not just because Mr. Jackson said so. I definitely learned that explaining why concepts work is very difficult. I will now have more respect for teachers because explaining why material works is very hard.

Afsheen, Meg, Colleen D.E.V. Project

https://www.dropbox.com/s/dgax2t99obw18lu/D.E.V%202.zip?m

Instructions:
Download ZIP file from DropBox
Extract 2 files from ZIP file
Open PowerPoint
Enable editing
Play PowerPoint
(This way, you can hear the music!! Or should be able to...)

Colleen:

                I chose the two concepts of polynomials and radicals because I understood the polynomials the best and understood the radicals the second best. This made the difficult task of coming up with two problems slightly easier. These two units came naturally to me and I enjoyed working with them very much. From this project I learned that making the problems is so much easier than solving them.

Meg:

                I chose to create problems using the polynomial unit and the quadratic unit. I chose the polynomial unit because that was the unit that I understood the most. I chose the quadratic unit because I understood it the least and needed to review some of the concepts. Although I did not fully understand the quadratic unit, I used the one concept that I understood the most for my problem. I really enjoyed the polynomial unit and thought it would be a fun way to incorporate Hawkeye's character. This project was really fun and I enjoyed working with my group. I found it a very fun and challenging way to review the different math concepts we learned this trimester.

Afsheen:

                I chose to recreate problems from the Functions Basics unit and from the Quadratic Functions unit. I chose an expansion problem from the Functions Basics unit because I felt I needed more practice in that. With so many variables to F.O.I.L. out, more and more practice with that would be helpful, despite the fact that it is a basic skill. I chose a completing the square problem from the Quadratic Functions unit because this is a series of steps that I forget if I don’t practice it enough. Because I sat down and thought about what I was creating, and how to explain it, I believe it will stay in my brain a lot better.

Logs, What I thought was cool

I had previously learned that when typing log base Y (X) of different bases into my TI-83 I have type then in as Log base 10 (X)/Log bas 10 (Y).  But apparently it just compares the ratio of the original segments (X and Y).  So I could type in ln(X)/ln(Y)  or really any base over the same base of those two variables.  I found that quite logical and very cool too.

B.O.B. Exponential and Logs

        This whole unit seemed mostly just review. Exponential were always easy for me. It is a strong a unit to end on up on. This unit was the first unit were i was able to basic work after school activities and school work very well. Hopefully i can end the trimester on a good note. With a good exam.

B.O.B. Rationals

                The Rationals Unit over all was easy for me but i had many days i missed and many days were I had so much on my plate I was stressed. It took to some time to figure out how to balance work and Robotics, and School it was a pretty good unit to start getting in to that role. Time to get in the real world now. It's time to put the big boy pants on.

B.O.B

This unit was so much easier than the other two. I'm a lot more satisfied with my grade on the test. I was able to understand the content a lot faster. Maybe that was because we learned smaller amounts of information at a time, but either way. I'm satisfied with the past unit and am creating 2 problems that come from the content we learned within it.