Pre-Calculus

(2022-2023) Math Digital Notebook and STEAM Journal

Math Digital Notebook

Here is my Math Digital Notebook and STEAM journal for Pre-Calculus

Twig-onometry

In this project we used trigonometry to estimate the height of something tall outside. It is called twig-onometry because this is what loggers do when they need to measure a tree. However, we measured a wall by the side of the building instead of a tree. We measured some distances in real life to create the equation shown above.

export_1673470387685.MOV

Matrix Animation Video

This was the project we did on the matrices unit. We took the matrices and multiplied, divided, and did other things to them to change the position of the figure. We created the figure by assigning each of the columns of the matrix to coordinates in the coordinate plane. That is how I created the figure and moved him around.

Bottle Rocket Project

Intro: In this project, we built and designed a bottle rocket to track the parabolic motion. We modeled height x time using the equation of the parabola.

Design Consideration

For this design, we took into consideration the possible aerodynamics of our rocket and the way it would travel through the air. That is why we especially 3D printed a parabolic cone, and fins that specially fit the bottle.

The Result

IMG_2794.mov

Here was the recording of the first rocket. As it took off we had one of our group members record the angle of the height of the rocket from ninety feet from the launch point.

Finding the Max Height

We used trigonometry to find the max height. We did this by using Tangent and the angle measure shwn above

Calculating the Max Height

We took the information and plugged it into the calculator and added the height of the person measuring to get the max rocket height of roughly 175 ft.

Finding the Initial Velocity

We used the formula

0=x(6) - 16 (6) 2 to find x which is in this case the Initial Velocity.

The Final Graph

We calculated the graph for the parabola using the calculated initial velocity. it was this graph that we got from the resulting equation. y = -1/2(32)x2 + 96x

Rising Rents Assignment

Alexander Golubic Student Copy Rising Rents

Probability Game Project

For this project, my partner Kate and I made a probability game. Our game involved six cups which had a different amount of tickets spread among them. For the first level, 4 of the 6 cups had a prize under them. As you progress through the 3 levels the odds that you pick a cup goes down as the number of total prizes goes decreases.

The Math

Here is the math for our game. It is the total calculations for the game as the levels progress. It is also the overview of how the game works and the different levels.

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