Over the duration of six weeks, we worked in a math unit called "Shadows." During the unit, we worked to solve the unit problem, which was to find a formula for how long a shadow was. When first 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 measuring a shadow or Shadow Data Gathering. When measuring a shadow you need …show more content…
This concept was used in Homework 17 and many other assignments. Although I am not quite sure how learning about angles of approach and departure helped us reach our unit goal of finding the formula, it was useful to know for solving other equations we had to answer on our road to answering the unit goal. Many times when trying to figure out angles we had to use other information we had such as when we were working on the Shadows Supplemental Worksheet or when trying to figure out a transversal. A transversal looks like this (see picture). When trying to figure out the angle measurements of a transversal you have to compare alternate exterior and interior angles. You also know that a and b have to add up to 180 degrees. Solving a transversal is just like trying to solve the Shadows Supplemental Worksheet because you have to break down knowledge and use what you know to figure out what you do not. This helps solve the unit goal because trying to use what you know to figure out what you do not is exactly what you have to do when solving that unit formula or any formula for that matter. One of the final concepts we learned was Sin, Cos and Tan which are trigonometry terms. Sin is the side opposite of the hypotenuse over the hypotenuse. Cos is the side adjacent to the hypotenuse over the hypotenuse. Tan is the side opposite of the hypotenuse over the side adjacent to the hypotenuse. For simpler understanding, refer to the
When I was a child, I wasn’t very proficient in math. It wasn’t until junior high, that I was finally getting the hang of doing all these math problems every day. A factor that helped me achieve good grades was my dedication
The whole project was applying mathematics to this hypothetical issue. This issue was being a confederate soldier cannoning down the USS Cairo of the Union while facing the difficulties of gravity, air resistance and more. Doing this I think really cemented what we learned in these three subjects and gives a great reference points for later dates. It also helped see the context behind
The two ways that enhanced my experience of taking this class are learning to get all the facts of
This is one unit in a yearlong 6th grade math course. In this unit, the students will learn about expressions and equations. Students will learn how letters stand for numbers, and be able to read, write, and evaluate expressions in which these letters take the place of numbers. In this unit, students will learn how to identify parts of an expression using various new terms. They will learn to solve both one- and two-step equations. Students will be able to distinguish between dependent and independent variables. They will be able to identify the dependent and independent variables of equations and in turn, be able to graph them. Various activities to be completed inside and outside of the classroom will be used to show
The author explains how many students, especially those in the focused-upon second grade class, have difficulty explaining their “mathematical thinking process”. While they may provide correct answers using memorized calculations, they are unable to demonstrate their conceptual understandings or explain how they achieved the right results. As stated by the researcher, “it is important for students to be able to demonstrate their mathematical thinking as well as their method of solving a problem” (Kostos & Shin, 2010, p.223).
The lesson plan 3 was about “Time by the hour” for math. Throughout the time in my placement field, I get to observe and teach in my cooperating teacher’s 1st grade class. I had learned so much about the students and enjoyed working along with everyone. At the end of every planned lesson plans, I have learned so much and gained some useful information on how to become a better teacher in the future. In this lesson plan 3, I had reflected on my past mistake and learn to grow from it.
Upon observing your class, we have learned a lot about the methods you utilize in order to help the students with mathematics and about how the students learn. Observing your class was both an honor and a learning opportunity for us, as you are an important, and well-respected faculty member in the school system. However, while we appreciate your goals and tactics to make learning mathematics easier for the students, we have discovered some flaws in the use of mnemonics, rules, and tricks for helping students understand the subject material.
The project aimed to develop a series of connected learning experiences in a simulated three-dimensional context that applied mathematics and made it relevant so students would learn to identify and solve real world problems. The project was intended to be a comprehensive yearlong curriculum that integrated language arts, mathematics and the math practices aligned with the Common Core State Standards and made learning
Learning these valuable lessons helped when I entered into the classes for my Applied Physics major. When I started my General Physics class my sophomore year I knew what needed to be done. I also had a new found inspiration to go above and beyond in this class since it was in my major, but also important to my life goal of becoming a Civil Engineer. Most of the material I learned in this class was going to be applied to the classes of Civil Engineering which meant I really needed to learn what was being taught. This
This artifact addresses the standards of content/subject matter, diverse learners, instructional strategies, and methods of teaching in several different ways. The artifact deals with the content of 8th grade math, in this particular artifact it deals with slope, proportionality, and slope intercept form. With using these concepts, I used a variety of strategies including creative thinking and problem solving to make questions. I was also able to create opportunities for diverse learners in this lesson with the strategies and methods of the 8th grade math content. When creating this lesson it was not my goal to interconnect these four standards, it was after reflecting on the lesson that I observed I connected these four standards in my lesson
To be able to listen and thoroughly follow the given directions. These directions will allow you to answer questions correctly and ensure that all your questions are answered. You should also try to memorize formulas that will help you on tests and additional work.
There are six trigonometric ratios that one must know in order to find any angle in a right triangle. There are various of ways to remember these trigonometric ratios, but the most common way is through SOHCAOTOA. By having this clear in your memory, it will allow one to remember at least the three basic trigonometric ratios: Sine (sin.), Cosine (cos.), and Tangent (tan.). Before one learns about how SOHCAOTOA is split up, we must learn about the angles in a right triangle. First off, the hypotenuse is the longest line in a triangle, then in order to find the adjacent and opposite, one must locate where the angle. Upon locating the angle, we can conclude that the opposite is further away from the angle, whereas the adjacent is the closer one
Remember being taught something new in a mathematics class and thinking to yourself, “when am I ever going to use this in life?” Sure, not every mathematical theory taught in class will be used in your career, but from my experience, many of the skills learned in mathematics are frequently utilized each day. While mathematics may not be everyone’s favorite subject, I found it to be not only the subject I use the most outside of school, but the one that I enjoy the most, which is why mathematics is my favorite subject.
Multiplicative thinking, fractions and decimals are important aspects of mathematics required for a deep conceptual understanding. The following portfolio will discuss the key ideas of each and the strategies to enable positive teaching. It will highlight certain difficulties and misconceptions that children face and discuss resources and activities to help alleviate these. It will also acknowledge the connections between the areas of mathematics and discuss the need for succinct teaching instead of an isolated approach.
Based on several studies, one of the best ways to understand mathematical ideas and apply these ideas is through the use of manipulatives. Students explore these manipulatives, however, it is important that they make their own observations. The teacher then should model and show how to use the materials and explain the link of these materials to the mathematical concept being taught. Schweyer (2000) stated that students learn best when they are active participants in the learning process where they are given the opportunity to explore, assimilate knowledge and discuss their discoveries.