Fall 2016 - Professor Kate Poirier

Category: Uncategorized (Page 3 of 3)

Reminders & HW#2 solutions

  1. Recall that HW #9 is due tonight.
  2. As announced in class last week, your midterm on Thursday has 4 components:
    1. A Desmos activity to be completed online. Check out your classmates’ submissions for Project #1 for a review of the skills that will be necessary. You can also check out the graphing activities on this page (ignore the regression activities).
    2. A GeoGebra componet to be completed in the desktop app (not in the browser app); you’ll share your .ggb files with me. Check out your classmates’ submissions for Project #2 and review HW #8.
    3. A geometry component (review HW #2, HW#4, and HW#6).
    4. A written-response component (review HW #7).
  3. Mei’s HW #2 was done very well and she graciously agreed to let me share her work with you. Pay special attention to how she presents her arguments (what she is assuming and what it implies). You can also see my comments.

The Medial Triangle

Aim: To prove that the perpendicular bisectors of the sides of the original triangle ABC are the same as the altitudes of the medial triangle DEF.

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

 

An altitude of a triangle is a line segment through a vertex and perpendicular to (i.e. forming a right angle with) a line containing the base (the opposite side of the triangle). This line containing the opposite side is called the extended base of the altitude.

Sorry for the late post fellow classmates my internet went down.

[Abdelmajid.Ihda][Ptolemy theorem]2

” In Euclidean geometry, Ptolemy theorem is a relationship between the four sides and the two diagonals of a cyclic quadrilateral who’s vertices lie on a common circle”

” If the quadrilateral is given with its four sides as follows B,C,D,E then the product of the measure of its diagonals equal to the sum of the product of the opposite sides pairs”

BC*CE=CB*ED+CD*BE

 

The circumscribed Circle and the circumcenter

A circle that contains all three vertices of the  triangle ABC is side to circumscribe the triangle. The circle is called the circumscribed circle or simply the circumcircle of the triangle. The radius of the circumscribed is called the circumradius.

Theorem – Every triangle has a unique circumscribed circle. The circumcenter is the center of the circumscribed itself.

https://ggbm.at/ekkyFwsN

Hw#7: Study: Emerging Technology has Positive Impact in Classrooms

The article Study: Emerging Technology has Positive Impact in Classrooms by Ryan Lytle from the U.S news discusses the many pros  and repercussions of technology in a classroom. In the article Lytle interviews teachers and asks them why do they need technology in order to teach? One teacher replied it was an effective tool to help students do there their classwork at home and come in with questions about the work in the day. She mentions the fact that technology should be used in a way as not for experimentation but, for those who desperately needed it. Lytle points out the fact that many schools are given the budget for technology such as mac computers, tablets and do not use them to there full ability. In the article teachers share strategies for use of technology ranging from delivering lectures online to developing information systems which, would allow students access to a library wherever they go around the campus. Lytle raises an important question when he asks about the expenses towards lower income schools? Generally schools with staggeringly low income areas hardly receive the help needed and adding technology will only lower the budget for other things such as textbooks, school materials. He also raises the question using an example such as if a school district has 500,000 students  in 64 schools and obtains only 100,00 computers who than gets them? The repercussions are great when experimenting with a method not knowing if the results are good or bad. Lytle also mentions that while having technology can be both good and bad in some cases no one stops and asks the teachers about their opinion. One teacher says that instead of using large amounts of money on a approach that may not work to use it to better train teachers which are the source of learning.

My ideals about technology are similar to those of this article. In a way i say if you are effective with the technological object then yes you deserve it but, to give schools all these different techs and expect great results is just obscene . I have worked in classrooms using cubes, shapes, compasses and have received knowledgeable results on my part.  The controversy stems from  many sides with beliefs that students are growing up with more gadgets than the generation before so we should teach them with new “mac computers”.  Yes many fields require computer programs so give those schools the necessary means. I am not imposing on the basis of not having technology though it may seem like it. I agree with giving schools resources because i would want it in my classroom as well.  I think smart boards , projectors are useful tools in a teachers belt. I am considering providing lectures online for my students and doing the homework in class as a experiment. For that i need all my students to obtain access to the social web.

Jodel Delectable

Hello everybody, my presentation will be on solving inequalities. I will give a brief definition of inequality and some factors that can change direction of inequality.  I will talk about the symbols, solve some exercises and show how it looks like in a graph.

JODEL DELECTABLE

I was born in Cap Haitien, Haiti; however, I went to school in Port-Au-Prince, which the capital of Haiti. I never like Port-Au-Prince because it is too crowded; I always spent my vacation in the suburb or other cities far away from Port-Au-Prince. I speak Haitian Creole, which the mother’s language of Haiti. I also speak French, which is the official language; and, I learned Spanish and English from junior and senior school.

When I was in middle school, I felt the tension was very high. There were more subjects, a lot of things to memorize and above all writing got harder. I found math was a bit easier to approach because it was all about practice. Along the way math was the only subject that kept me going. Several times after school hours I stayed with other students to help each other in math. Even though it was a study group, I did not find quite easy at all.

On my 12th grade I found a teaching position from a local school in evening. There were two teachers in the classroom, me and another guy. They paired us up based on our qualifications; I was good in math and the other was good in writing. As teachers of the class, we were competing to each other because I wanted to show to the students that I was better than him. Every week-end I prepared the math lecture for the week and reviewed it several time to be sure that it was legit to present to the students. The most important was the explicit explanation so that the message could go through the students. Overall the beneficiary of the competition was the students because that promotion was the most successful one from the school at that time. The students took an official exam; 23 out of 25 passed it. For us, the teachers, that was incredible.

Before coming to America, I forgot to take my high school diploma and also my transcript from the department of education. I had a lot of difficulties to get in college. The diploma was not one of them because I obtained my GED diploma easily. However, my immigration document was the dilemma. I finally got in college in fall 2008 at Citytech. After two semesters I stopped due to some financial problem. As everybody knows, 2008 and 2009 were the most nodus period in USA. The end of December 2009, I went to Haiti for my grandmother funeral. The day before I came back to USA I got caught by earthquake on January 2010. On spring 2011 I went to Manhattan College for Civil Engineer. I was very in the school; until, 2013, which was my sophomore year I received a letter from immigration that summoned me to court and stated that “all my transactions and assets are being block at this moment.” I spent three years fighting with immigration to get my document back. In the middle of August I prevailed again upon immigration. So I am back in college and I am not going to stop without my math education diploma.

After I graduated from Citytech, it will be a dream comes true for me. I will go straight to grad school in order to excel my education so that I can give a better contribution to the education of the upcoming generation; also, for a better and more secure position.

 

 

 

 

Josue Rojas

Hello guys,

My name is Josue Rojas I am very enthusiastic about math. I graduated from John Jay College with a degree in Criminal Justice and a minor in Mathematics. I am a technician for Sprint and I am also a Math tutor at John Jay. I have been tutoring math for about 3 years. I am at City Tech just for a year to take a couple of Math courses to pursuit a Master’s program in Education at Hunters. My favorite Math class is Operation Research.

Besides my academics I love basketball. I am a very friendly guy. I am a very on hands person I love to work on cars, cell phones, computers, etc..

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