Kelvin Silvester R. Calomarde LBYPH11 EB2 Individual Lab Report Title: Graphs and Equations Introduction: The study of physics involve a lot of data to be studied that is attained from experiments. To interpret these data would be important in order to predict a certain phenomenon and explain why and how things work. A model for the data to be interpreted is with the use of graphs and equations. Stewart (2012), states that a graph of an equation in x and y is the set of all points (x, y) in the coordinate plane that satisfies the equation. This is vital in the study for physics or any science for that matters because it serves as a tool in order to study the relationship between two variables and how a quantity varies with another. The shape of the graph also gives a clue into what relationship the two quantities have. Some common shapes of graphs are a straight line graph, a hyperbolic graph and a parabolic graph. As mentioned, the shape of the graph gives off a hint as to what relation there is. A straight line graph would mean that the quantities have a direct relationship with each other. This means that as a quantity is doubled the other quantity is doubled as well. A hyperbolic graph would mean that two values would have an inverse relationship wherein as one value increases the other decreases. Lastly, a parabolic graph for two quantities would mean that it represents a special type of linear relationship with one increasing more than the other. Aside from the graph, the equation for the set of data is what dictates the shape of the graph. This is why knowing the equation for the set of data is important. This is where linearization comes in which is important to be able to find out the equation for a line of a curve. ... ... middle of paper ... ...as the distance is moving away in constant increments of x. This would show that the electric charge is directly proportional to the distance. The second graph would show a linearized version of the data where the x values of the distance are in the form 1/x^2 to create a line. With this, the equation of the line can be attained and with it the slope. Conclusion: As what can be seen in the data part of the report, the given values for x and y can be interpreted as a graph. With this graph, it can be interpreted to describe the phenomenon that is taking place. This is how graphs and equations can help the study of science understand how and why things are taking place. References: - www.dlsu.edu.ph/academics/colleges/cos/physics/_pdf/cos-graphs-and-equations.pdf - Stewart, J., (2012) Stewart’s algebra and trigonometry. Singapore: Cengage Learning Asia Pte Ltd
Upon completion of this task, the students will have photographs of different types of lines, the same lines reproduced on graph paper, the slope of the line, and the equation of the line. They will have at least one page of graphing paper for each line so they can make copies for their entire group and bind them together to use as a resource later in the unit.
Next this information was then turned into a box and wicker plot for more in-depth interrogation of the data.
In a simple regression model, we are trying to determine if a variable Y is linearly dependent on variable X. That is, whenever X changes, Y also changes linearly. A linear relationship is a straight line relationship. In the form of an equation, this relationship can be expressed as
Compare and Contrast the graphs. Adjust the (X,Y) with the class to evaluate and analyze oil and gas Boom Bust Cycles.
I am investigating the impact of math in the various parts of baseball. I have collected data from the various aspects of baseball such as hitting statistics and pitching statistics that are from the MLB. With this collection of data that I have, I used a number of mathematical processes to analyze this data and get to the final statistic. Such as the pitcher's statistics of how many runs they allowed in a certain amount of innings and applying the mathematical formulas to figure out the end statistic which is their ERA and that tells us overall how good that pitcher is performing. Some of this data is shown in graphs throughout the paper and another big formula used in baseball is the projectile motion formula used to calculate how far home runs travel. In the end these calculations will prove how math is so important to baseball and how these formulas contribute to that by figuring out the end statistics of various parts of important baseball data such as hitting and
...ories, and equations that were introduced in the math chapter in which I struggled, were used in that lab. I was able to see how we can collect data presented by a graph and turn it into an equation and vice versa which in turn will help me to decide the capacity of the electrical source that I need to accomplish a certain operation.
Scatter plots are similar to line graphs in that they both use horizontal and vertical axes to plot data points. The closer the data aims to making a straight line, the higher the correlation between the two variables, or the stronger the relationship(MSTE,n.d) The scatter plot above does not have a straight line formation, so that showing that there is not a strong relationship between the two variables of GPA and final.
Models are thought to be used effectively in natural sciences to visually display concepts and information as illustrations, graphs, and diagrams. In natural sciences when we come up with a theory, to investigate the validity of a theory we create models and designs which are tested out in an experiment. This experiment is based of of models and designs which can be recreated to give same results and explain the experiment and theory in relation to the model. However, in some cases models can help to little avail.
slope. I think that out of all the variables, this is the one which is
Personality is one of the hardest things in psychology to measure because it is not a behavior that can be observed and it is open to be interpreted by the person who is observing it in a way in which it could be perceived a different way by someone else. A person who sees another person as funny with dark humor & explicit jokes may be seen as disgusting and rude to someone else. Personality is one of those things that has multiple factors that affect the outcome of how it is measured. It seems that the fact that it can vary or alter is what makes it so complex. Handwriting is a form of communication. There are those who write neat, sloppy, slow, fast,etc. Some people have to do it all day, everyday like school children and some only write
Between 1850 and 1900, the mathematics and physics fields began advancing. The advancements involved extremely arduous calculations and formulas that took a great deal of time when done manually.
Fractal Geometry The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an explanation to things. The importance of fractal geometry is that it provides an answer, a comprehension, to nature, the world, and the universe.
Assessments should be aligned to learning objectives. The assessment we administered was designed to measure students’ thinking about data. Common Core standard 3.MD.B3 asks students to draw a scaled graph to represent a data set with several categories. Solve one-and two-step “how many more” and “how many less” problems using information from the table (Council of Chief State School Officers, CCSS, 2010). The main purpose of this assessment was to evaluate student knowledge about graphs. We also wanted to know if students were able to compare and contrast information in the graph. We think that this is an important skill that students should be able to master. Students will encounter graphs while learning about other subjects. They must know how to collect data and use the information from gra...
What is math? If you had asked me that question at the beginning of the semester, then my answer would have been something like: “math is about numbers, letters, and equations.” Now, however, thirteen weeks later, I have come to realize a new definition of what math is. Math includes numbers, letters, and equations, but it is also so much more than that—math is a way of thinking, a method of solving problems and explaining arguments, a foundation upon which modern society is built, a structure that nature is patterned by…and math is everywhere.