## final reflection

In the Generating Ideas category my strength was identifying and applying appropriate mathematical tools, and my weakness was generating multiple means of approaching a problem. When I go into a math problem I find a way to do it then do it, done. I learned this is not the best way to do things. If you find different approaches to problems you can find easier ways to solve the problem and can find a better understanding my lack of this skill can be exemplified in exploration 32 by my use of the quadratic formula when it’s not needed. Even though I’m not good at finding different ways to solve a problem I am good at finding what I NEED to do to get the answer. This can be shown in pow 11 when I used a graphing calculator find the answer.

In the Communicating category my strength was responding to others ideas, and my weakness is soliciting contributions from other group members. When I was working on a seminar I tend to dominate the conversation and not let others give their Ideas. This happens a lot there have been times I have done whole problems without others input. When people do input though, I am very good at taking that input and collaborating ideas. This is very important for group work and is useful in seminars. An example of this is during the beginning of the year our group could usually get things done fast because we collaborated well.

In the recognizing and resolving errors category my strength is giving a counterexample and my weakness is paying attention to precision. When it comes to other people's work I find that It is hard to be very nit picky and pay attention to the detail. Though during math this can lead to completely different results it is hard for me to look for order of operations and not changing a negative. I prefer to just redo the problem. This can be shown in many cases during seminars. If there is a mistake I am good at showing the right way with proof. This skill is important in seminars because without proof why should anyone believe you. There have been many times where I have had to defend my method of doing the problem in seminars.

In the Reflecting and synthesizing category my strength is Developing rules using specific examples, and my weakness is reflecting on my answer. I am usually very defensive about my idea’s and stick to them even if they are bad when reflecting on an answer I do the same thing I try to stick to a method even if I know it is probably wrong. In multiple seminars I have wasted lots of time arguing and defending wrong methods of doing the problem. When there is a set of very similar problems I am very good at connecting them and creating a rule or set way so solve or simplify it. This is something I have gotten much better at during this year of school. An example of this is in the spreadsheet project where I applied multiple equations to create one.

In the Communicating category my strength was responding to others ideas, and my weakness is soliciting contributions from other group members. When I was working on a seminar I tend to dominate the conversation and not let others give their Ideas. This happens a lot there have been times I have done whole problems without others input. When people do input though, I am very good at taking that input and collaborating ideas. This is very important for group work and is useful in seminars. An example of this is during the beginning of the year our group could usually get things done fast because we collaborated well.

In the recognizing and resolving errors category my strength is giving a counterexample and my weakness is paying attention to precision. When it comes to other people's work I find that It is hard to be very nit picky and pay attention to the detail. Though during math this can lead to completely different results it is hard for me to look for order of operations and not changing a negative. I prefer to just redo the problem. This can be shown in many cases during seminars. If there is a mistake I am good at showing the right way with proof. This skill is important in seminars because without proof why should anyone believe you. There have been many times where I have had to defend my method of doing the problem in seminars.

In the Reflecting and synthesizing category my strength is Developing rules using specific examples, and my weakness is reflecting on my answer. I am usually very defensive about my idea’s and stick to them even if they are bad when reflecting on an answer I do the same thing I try to stick to a method even if I know it is probably wrong. In multiple seminars I have wasted lots of time arguing and defending wrong methods of doing the problem. When there is a set of very similar problems I am very good at connecting them and creating a rule or set way so solve or simplify it. This is something I have gotten much better at during this year of school. An example of this is in the spreadsheet project where I applied multiple equations to create one.

## final math project

I think that during this project I did very well and applied new techniques, and tackled challenges on my own. During this project I had to do lots of research in the Beginning to find what a feasible way to create a hovercraft. After that I applied a technique new to me, prototyping. Over the course of this project I have used many techniques new to me to create the final product. Because of this, I learned a lot about what to do in those situations in the future. For the most part during this project I tackled challenges on my own, though many times I asked for clarification from others most of the work was from me. ONe of these times was when I took home the project and took two hours stapling on the skirt and then duct taping it. In conclusion I feel very proud of this project and I think for good reason.

## POW 4 for pol

## protfolio update

Skill: applying and converting exponential equations.

One of the skills I enjoyed leaning and applying is, using and converting exponential equations. I think that exponents are very interesting, and fun to mess with. My understanding of exponential equations Stretches from how to graph them, How to convert them to and from logarithmic equations and expanding perfect square equations. This exploration helped me understand logarithms and powers of ten.

One of the skills I enjoyed leaning and applying is, using and converting exponential equations. I think that exponents are very interesting, and fun to mess with. My understanding of exponential equations Stretches from how to graph them, How to convert them to and from logarithmic equations and expanding perfect square equations. This exploration helped me understand logarithms and powers of ten.

This pow showed my understanding of exponential decay equations and how to create them. One interesting thing about exponential decay is that, the P value can only be 1>x<0.

This project shows my mastery of exponential equations. I used fake values to convert a radioactive decay equation into an equation that says how old an element is by knowing, its original mass new mass, and halph life. To see it click that button.

## Spreadsheet workshop

LINK https://docs.google.com/spreadsheets/d/1xdKGpIhnfGbu8ZqYh3QAB5Lkf7cr5p-UefLOHswVQ_w/edit?usp=sharing