TEERADEJ LO
AP
CALCULUS
AB
Intermediate Value Theorem Poster
We are assigned to a group of 2 and with a topic that we need to make a poster on. Our group gets the intermediate value theorem. We come up with a story and include the content of IVT into it. The story is about a girl who is finding a book to read and she picks up the calculus book. The first topic she learned is the intermediate value theorem itself. We start by writing its definition, giving the requirement for this theorem to be able to be applied, examples that explain the reason for the requirement, and real-life example. We end it by having the girl feel very tired and just went to sleep. For the product, I really like it. I like the design of the main character. I also like the ring that we use to connect each piece of the paper together. It makes this work foldable thus easier to be stored. Some improvement that I think is about coloring. I think the color wasn't very fresh and it makes the work look a bit plain.
Maximized Volume Box
We are assigned to a group of 2 and with a certain size of paper. Our goal in this project is to create boxes from the given paper size which will yield the maximum volume. The method in doing this is first we have the volume formula, V = lwh. We know that l = paper length - 2h and w = (paper width - 3h)/2. We use substitution so that there will be only h left in the volume formula. We then derive this equation and set it equal to 0 and find the h values that satisfied the equation. The zero implies that at that h value the volume of the boxes is at the maximum or the minimum. After all the calculations, we start doing the real boxes. We also need to make the box strong enough to withstand Ms. Chanty's smash so that we can get the approval to submit it. We choose the material to be bagasse paper. We spray it to a black color and attach some cartoon characters onto the boxes. We made it into the Christmas theme because we are also going to use these boxes for the secret Santa gift exchange activity. We have magnets stick to the side and use it for locking the cover. It was very satisfying and our group really like it. Overall, this project is very enjoyable.