I am teaching mathematics at Bogan Computer Technical High School on the South Side of Chicago. All of our students have chrome-books and we are one of the first CPS high schools with a 1:1 teaching approach through technology. My teaching assignment includes Advanced Algebra for juniors as well as IB Mathematical Study and Mathematical Ideas for seniors. All of my students are enrolled in my classrooms on ​www.thelearningodyssey.com and www.khanacademy.org. In addition, I use a smart board and Google Classroom, which serves as a means to upload all power points, assignments and announcements.  Students also turn in their assignments and projects in these places. This coming school year all my classes will have a 45 minutes duration.  

The ultimate goal of my teaching is to show to my students that mathematics can be seen and applied almost everywhere. Often times my students do not understand the purpose of learning certain skills or content knowledge.  I believe that my job is to uncover the mysteries of mathematics for my students. I would like to show them that mathematics is not only an abstract language but it has real world application and can be transformed into a common language and therefore mathematics is relevant to everyday life. In addition, I would like my students to become life-long learners as well as college ready critical thinkers. 
For the purpose of this project I will concentrate on Advanced Algebra and Mathematical Ideas classes. The mathematical content of these classes involves real numbers systems and operations within systems and settings, solving equations with one variable, algebraic operations with polynomials, setting up and solving quadratic equations, linear and exponential functions, elements of finances and trigonometry as well as statistics including normal distribution. Usually in my lessons I incorporate exploration and inquiry type activities which use students’ prior knowledge and their individual experiences. I use various resources including CPS Knowledge Center https://sites.google.com/a/cps.edu/kc/curriculum/content-area-subpages/math/high-school-mathematics and educational web sites like betterlesson.com, sharelesson.com.
Understanding will be checked using several different modes. For example, we will incorporate questioning and discussion regarding objectives of the lesson with a focus on how, why and where we apply specific mathematical skills or concepts. I will use traditional tools like exit slips, quizzes, assignments and open-ended question tests as well as more technologically advanced practices. For instance, students, in pairs, will prepare presentations on Wonders of the World that incorporate mathematics and their own personal interest. Moreover, every unit will include either project, mini-project or visual, creative and artistic poster related to the mathematical content uncovered.
In my teaching I will use the TPACK (technology, pedagogy and content knowledge) model. Very often I will use videos, power points, inquiry and exploration as tools of direct and indirect instruction. My students will complete homework and other assignments on www.thelearningodyssey.com where every topic includes video presentations. Use of technology in the math classroom will help me as a teacher in tracking individual student progress and in transforming my classroom from teacher-centered to student-centered. The ongoing monitoring and analysis of class progress provides flexibility in changes during the course. I will also use www.getkahoot which I consider to be a great site for review as well as for short term assessment. Besides all the web sites mentioned above, I will use www.Desmos.com and TI-84 graphing calculators as calculating and graphing tools and I will incorporate Google Drawing for creating posters or videos. As far as the content knowledge is considered, I will make sure that knowledge acquired by my students is challenging and accessible.