Pre-Calculus

Trigonometry PrBL

STEAM Journal

(2022-2023) Math Digital Notebook and STEAM Journal

Bottle Rocket Project

Intro

In our rocket project, we constructed a rocket made of soda bottles. Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory. After we finished constructing our rocket, we launched them and solved to find the height it was launched into the and the velocity.

Design Consideration

Wings and Fins

Wings and fins are used for stabilization during the flight of an object and can make an object more aerodynamic.

Nose Cone

The nose cone is the point on the top of the rocket. Rounded corners on the nose cone reduce wind resistance and make the rocket more aerodynamic. This allows the rocket to fly higher and straighter than it would with a flat nose.

Weight

If the rocket is too heavy, it won't be able to launch. Weight has to be considered when choosing materials and the shape of each item.

Our Design

While designing our rocket, we considered aerodynamics in the nose cone, fins, amount of bottles, and shape of the rocket. We used two bottles and sealed them with tape. We 3D-printed the nose cone as a parabolic shape, which would be more aerodynamic than a cone shape. We also 3D-printed four fins which attach to the bottom of the bottle.

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Calculations

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

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

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.

We used the formula 0=x(6) - 16 (6) 2 to find x (Initial Velocity)

Probability Project

For the probability project, my partner and I made a cup game where at each level the player would attempt to choose a cup with a ticket. At round one, four out of six cups would have tickets, so the player would have a 4/6 chance of winning level one. At round two, two out of six cups would have tickets, so the player would have a 2/6 chance of winning level one. At round three, one out of six cups would have tickets, so the player would have a 1/6 chance of winning level one. Overall, the player would have a 3.7 percent chance of winning the game. We presented to the class and let other students play the game. Majority of students passed level one and moved onto level two, but did not pass level two.

Kate - Trigonometry Clinometer Indirect Measurement Project

Twig-onometry Project

For this project, we measured the distance between us and the school wall, then found the angle from our height to the roof and our height to find how tall the wall is.

My Movie 11.mov

News Skit

In this video, we used what we were learning in class to predict weather.

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Stop-Motion animation tiktok

The first step in computer animation is for the animator to create a simplified representation of a character’s anatomy, analogous to a skeleton. We had to enter key points in our image in a 2×n matrix, where the x-coordinate of a point is in the top row, and the y-coordinate of the point is in the bottom row. Each column would be one point in our shape.

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