Much was learned during our extensive study in patterns. We were able to come up with new ways to identify and interpret mathematical, as well as pictorial, patterns by using “In and Out” tables. As mentioned before, this unit was rather extensive, not only did we explore “In and Out” tables; we also discovered functions, domain and ranges of data sets, summation notation, consecutive numbers, factorials, arithmetic sequence and order of operations. On top of that, we investigated triangular numbers, finding formulas, the number of diagonals in a polygon, the sum of interior angles in a polygon, measure of angles in regular polygons, exponents, and squaring negative numbers. As you can see, this was a productive unit!

The “In and Out” tables were a vital piece of this unit. Not only were they an effective way to show information, we were also able to solve patterns using them and find missing terms in a sequence with them. In the example “In and Out” table below: “To find the out value, multiply the in value by itself and then subtracts three.” InOut

0-3
1-2
21
“In and Out” tables taught us to look at problems differently and to find multiple ways as to how to address a problem.

When we solved the “In and Out” tables, we came up with functions to express a rule derived from the table that could describe how to find the out value from the in value and would work for all numbers being applied to it. By solving the functions, we were able to come up with formulas. Upon coming up with formulas, we were able to also solve for missing domains and ranges in the tables. Domains are the inputs in data sets and ranges are the outputs.

Another useful way to display data sets is through summation notation. Summation notation uses the “Sigma” sign and can represent data up to a certain specified limit.

Consecutive and triangular numbers seemed to pop up a lot in this unit while investigating patterns. We noticed that with consecutive...

...The in this unit titled "Patterns" we learned and covered a lot of things. Some of the key concepts we went over are In and Out tables, order of operations, summation notation, consecutive sums, conjecture and proof, geometry, recursive functions, positive/negative numbers and algebraic expressions. We used in and out tables to organize data so that we can see patterns.
By organizing it and looking at the in then the out it made it easier to find a...

...
The Founding Father, the Propagandist, and a Wife
Daniel Boggs
(HST201-1) – (U.S. History I)
Colorado State University – Global Campus
Dr. Bruce Ingram
August 19, 2014
The Founding Father, the Propagandist, and a Wife
Three people walked into a bar. They were a founding father, a propagandist, and a wife of a famous leader. The three introduced themselves as; Thomas Jefferson, Thomas Paine, and Abigail Adams. Ok, so they really did not meet in a bar. If they did they...

...Portfolio1
Personal and professional development
By
Faiza Nabil Sabita
UOG ID : 00792125
Tutor: Mr. Panchathan
Part A
Table of content
Part A ……………………………………………………………… pp. 2-5
Part B ………………………………………………………………. pp. 7-9
Introduction:
In essence, a team may be defined as two or more people who co-operate together with a common aim. A Team focuses towards common goals and clear purpose (park, 1990). The purpose of this report is to...

...geometry might be my favorite unit in math, just because it does have a more artsy vibe. My favorite doodles are three dimensional shapes; cubes, pyramids, and prisms. And that gave me a slight advantage in this unit. It was enjoyable for me.
IMP 2 was a good place for me to start. It really put my thoughts of high school into perspective, and it braced me for all some of the AP classes I would love to take junior and senior year. I really like the class, the content, the...

...given the unit problem, I considered it a simple task but soon after I realized there were many steps and ideas that needed to be learned before the unit goal could be reached. Throughout these six weeks, we learned about trigonometry, similarity, patterns, congruency, and using angles to solve problems. These new math ideas were just things we needed to know to find out our bigger goal for the unit.
One of the first activities we did using manipulatives was physically...

...1. To find my conclusions I had to think about each part of the problem. When you know that one thing means you go on to the next part. When you figure out what that means you have to see how the two statements are related. If they are related then you can deduce a conclusion that makes sense.
2. Here are my conclusions for the 6 problems on page 7.
1. a. No medicine is nice
b. Senna is a medicine
Here I deduced that Senna is not a nice...

...something like this: M=k*c- (c-1) This formula really works and all you do is just plug in the numbers from the senario.
For example, in senario one I figured out by myself that three cents is the most amount of money that Ms. Hernandez would have to spend on her children. The most amount of money she would have to spend on her children would be three cents if they each wanted the same color. The equation is the work below.
M=k*c- (c-1)
M=2*2 –...

...triangles do mean three angles.
Compared to math class back in elementary school, IMP is totally different. When I used to just solve given equations from a book and memorize methods to solve various problems. Now I actually have to create my own equation and work with that. But honestly speaking I preferred doing math the old way. It felt more normal and more like math. Since I started IMP, math has begun to feel more like science class, with different...