GSS.B1 I can model nature with physical scale models.
GSS.B2 I can model nature with detailed diagrams.
GSS.B3 I can solve problems systematically with mathematical models.
GSS.B4 I can write and run code simulations to generate testable predictions.
GSS.B5 I can apply the iterative engineering design process to solve problems.
Model #1
Model #2
These were models given to us during the Mystery Mass experiment.
Model #3
Pictured to the left is a physical scale model of the spaghetti bridge that my group made when working on a project involving forces. This design is only made out of noodles and glue. This resembles nature because our mini-model was a representation of a larger, previously existing bridge.
One thing that went well during this assignment relating to the structure is that I believe that our group accurately represented existing bridges that we researched. One thing that did not go according to plan was that we had trouble with the weight and carrying greater values of weights since our bridge was so small.
These diagrams represent the models presented to us in class, but in one dimension. These diagrams show the measure of angles, direction of force, gravity, and the process in which we worked to solve the problem. A difficulty that we ran into during this was turning a three-dimenstional object into a one-dimensional drawing, while doing it as accurately as possible. But with precise measurements and calculations, I believe that our group overcame our obstacle.
This graph demonstrates many things. It includes a motion map, measurements, the slope, average velocity, and average speed. This graph is useful when talking about vectors and when trying to calculate with these equations. When drawing this graph originally, I was puzzled by the equations. Now I understand their origin and how they apply to this idea.
This kind of map represents the position, velocity, and acceleration of an object over time. The line on the map shows that the object is moving in a continuous manner in one dimension. The position of the object is shown by a small dot. At each dot, the amount of time (in seconds) is shown to understand how much time has passed as the object is moving. At each point, the velocity is demonstrated by a vector/arrow. This kind of map can be useful when trying to evaluate the speed and velocity of a constant, moving object.
These are detailed diagrams of the bridge our group made for the Spaghetti Bridge Project. The diagram on the left shows the different measurements of our bridge. The one on the right demonstrates where tension and compression were relevant within our bridge.
Creating these diagrams became difficult because taking the exact measurements of our bridge was very tedious. For the force diagram, it became difficult becuase our bridge had so many joints to evaluate and it required a lot of in-depth thinking to come the the conclusion about the diagram.
Pictured to the left is a detailed diagram showing the state of energy of an object moving up and down in a gravitational field at different moments.
This diagram shows how much energy is shown at different points and the different kinds of energy used.
Something that went well for this assignment was talking with group members about how much and what kinds of energy were used. I believe this diagram went well for out group.
Here are some images and a video from the mobile project where we had to create our own mobile, balance it, and solve for mathematical variables.
In this specific model, we were calculating the position of the moving car and how it was related to time. As the moxed description to the left notes, position is related to time becuase as time increases, the position of a moving object increases/decreases while moving in a straight line.
As opposed to velocity, which is mathematically calculated by slope here. Slope is found from the equation:
m = (y2-y1) / (x2-x1)
A struggle that we witnessed during this process was accurately calculating the original points for the equation.
In this problem, I believe what is easiest to do first is to draw it out, making a diagram to see a visual on how it works. The website gave a very clear a precise of this mathematical model after the assignment was completed. The hardest component about this problem, to me was figuring out how the degree fit in with the problem.
Problems #7 and #8 were by far the hardest problems for me to solve on this quest. I ran into many struggles throughout the process. Originally, I had absolutely no idea how to solve this. I then recieved help from multiple sources. To first attempt this, I drew a mathematical model and I got help with the equations within this. Now, I understand where the equations came from, but I am still confused on how to actually solve the problem.
This problem is from our third quest, focusing on kinematics. Most of the problems in this assigment were structured like the one pictured. For this problem, you use the kinematics equations that we previously found and apply them. For this specific problem, since you need to find the acceleration and do not have the change in x, you use the equation that resembles this. In this case, it is the equation v=at+v0. This problem was easy, in my opinion. However, some of the other problems like this were more challenging.
Here is the work I did for the problems in the Work-Kinetic Energy Theorem Quest. As of now, this is the most challenging quest to me. I struggled with using the equations and altering them so that they apply to the problem. The concept of work still puzzles me. However, I will continue to push myself in the understanding of the topic to try to grasp a good idea.
This is a whiteboard activity in which we investigated the idea of simple harmonic motion. Here, we calculated the mass of the weights and measured how many seconds it would take the weight to bounce ten times on a spring. Then, we used the equation T=Am^B to find the values for our specific data. Using the equation, we found the values for the variables A and B. This led us to our final equation by plugging in the numbers for the variables.
I feel as though this is a good representation of this skill because we used the equation to drive further inquiry and solve our problem using our own data.
Here are my notes over Total Mechanical Energy. In this, we use the several equations and incorporated them to real life situations.
The images below show the mathematical representation in an assignment relating to torque equlibrium and mobiles. In addition, wehad to calculate the center of mass. The only thing that did not go well with this assignment was the accuracy of the measurements. Other than that, the equations were accurately calculated and the mathematics aligned.
Within this set of code, I explored writing in Python to generate a functioning method of adding vector quantities. When formulating this, it was difficult for me to understand what does where and how to do it. As I attempted to figure it out on my own, my teacher also assisted me through the process.
For this specific set of code, I created a way to insert numbers into a quadratic formula and the outcome is your answer. This generates much like a calculator. Although, this result took a while to come up with. I struggled with all of the precise symbols that you have to write with. To overcome this, I attempted different combinations and tactics and modified it until I came up with a solution that gave me an accurate answer.
For this set of code, we did a lot of remodeling. Originally, it was used to solve kinematics problems. Now, it has been transformed to find momentum. When using this code, it is necessary to alter the values to get your desired result. This set of code took multiple class periods to construct and is complicated, in my opinion. Some things that were difficult for me were the small mistakes and finding where I went wrong in my code.
The function of this code is to:
-calculate and and report the initial potential energy, kinetic energy and total mechanical energy before anything happens
-calculate and report the initial potential energy, kinetic energy and total mechanical energy after everything happens
To use this set of code, it is necessary to alter the values to fit the measurements in a specific problem.
In my opinion, this is probably the hardest thing I have done in physics so far. This was very challenging for me to understand what the instructions are asking me to do and then apply that and turn it into my own code. Currently, I am far from fluent in the language of Python, but I hope to improve as the year continues.
In this google sheet, we configured data to be able to evaluate kinematics problems. Over the course of using this document, we had to reconstruct the code so that it fits accordingly to the different equations and values. Now, when solving kinematics problems, you can insert your specific data and find the result/answer to your problem using this.
Some things that I struggled with over this are understanding how to transfer the equation into code and inserting it into the document.