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=Welcome to Ms. Christ 's Wiki :) =

@luke_w12
It is time to begin our Chapter 10 project!

During this project, you will collect, analyze, and share information about parabolas around the world. Each student will be given a different quadratic equation to analyze. You will create a wiki page to present your project data. If you cannot access wiki for any reason, you are expected to complete the project another way (such as using Word or by hand). This project is broken down into two assignments.

=**‍Who, what, when, where, and why are Parabolas?** = =**‍... and why do we care?** = Your first assignment is to contribute to (edit) one or more of these pages by clicking EDIT at the top right of the page. You must be logged in!


 * When you contribute to one or more pages, you must include: **
 * 1. YOUR NAME **
 * 2. Source citation **
 * 3. At least //3// facts **

Parabolas in Architecture Parabolas in Art Parabolas in Careers Definition of a Parabola History of the Parabola Parabolas and Projectiles <span style="color: #ea1a8f; font-family: Georgia,serif;">Parabolas in Sports <span style="color: #ea1a8f; font-family: Georgia,serif;">Parabolas in Video Games

<span style="font-family: Georgia,serif;">Your second assignment is to choose and analyze a parabola seen in the real world. Your parabola CANNOT simply be something you draw on a graph in math class - that is //not// a parabola existing in a real-life situation. Your parabola must represent something, whether it be a shape of an existing item, like the McDonald's arches, or a curve that shows a pattern, such as the height of a projectile over time. We have mentioned many examples in class. Check out this video for even more examples.

<span style="color: #ea1a8f; font-family: Georgia,serif;">media type="youtube" key="bN7fzVxUkHo" height="360" width="640"


 * 1) <span style="font-family: Georgia,serif;">DESCRIBE YOUR PARABOLA (1-2 //detailed// paragraphs): Find out as much as you can about your chosen parabola. This may include, but is not limited to: the object's history, location, and architecture; people associated with inventing or building it; the science behind its formation; any other interesting facts about it. Include any mathematical information you can find. This may include, but is not limited to: the equation of the parabola, the vertex/maximum value/minimum value, x- and y-intercepts, and dependent and independent variables. If you cannot find any mathematical informaion, try to make your general description longer. This section MUST contain at least __one__ picture.
 * 2) <span style="font-family: Georgia,serif;">GRAPH YOUR PARABOLA (1 graph and 1-2 sentences): If your parabola is not already in graph form, you must graph it. You must determine the **vertex** of your parabola first. Your graph must also include your **x-and y-intercepts**. Some of you will need to research the measurements of your object and approximate these values. You need **three** points labeled on your parabola. If you have a special case parabola, you may need to use a table of values to find more points. You might need specific measurements of your object to estimate these values.
 * 3) <span style="font-family: Georgia,serif;">GIVE AN EQUATION (1 equation in standard form): Using the three points you found in part 2, you will use Microsoft Excel to create an equation. Click here for instructions on using Excel to find your equation.
 * 4) <span style="font-family: georgia,serif;">GIVE DETAILS ABOUT YOUR PARABOLA: This is the fun part! Here is where you will tell us all about the MATH in your parabola. Give information about EACH of the items below. Include detailed explanations, __**SHOW ALL WORK**__, and include pictures, diagrams, or graphs if you can. **The more you have here, the better your grade will be!!!!**
 * <span style="font-family: Georgia,serif;">VERTEX and AXIS OF SYMMETRY: What is the vertex of your parabola? How did you find it? How could you find it without looking at the graph? Is the vertex a minimum or a maximum? How do you know? What does the vertex signify for the situation (for example, it's the highest point a ball reaches or it's when the span of a bridge is closest to the road)? What is the equation for the axis of symmetry?
 * <span style="font-family: Georgia,serif;">Y-INTERCEPT: What is the //y//-intercept of your parabola? How did you find it? How could you find it without looking at the graph? What does the //y//-intercept signify for the situation (for example, the starting point of a ball being thrown)?
 * <span style="font-family: Georgia,serif;">X-INTERCEPT(S): How many //x//-intercepts does your parabola have? How do you know? If it has one or two, what are they? How did you find them? How could you find them without looking at the graph? What do the //x//-intercepts signify for the situation (for example, the point at which a thrown ball hits the ground)?

<span style="font-family: Georgia,serif;">Check out Ms. Christ's sample project see an idea of what your project could look like. You do not have to follow this format, as long as you follow all the instructions above. You also do not have to do the project on this wiki - you may do it on paper, Word, or another program. Again, just be sure to follow all the instructions above.