projects

Catapult Project

Goal design a catapult and write a formula of the path your object takes. There will be two categories you will compete in, medium catapults and mini catapults,

Medium catapults would be done outside and you would launch larger objects.

Mini catapults can be shown in the classroom.


 * Part one: Decide on what category you want to compete in and look at the different designs


 * Part two: Construct the catapult:
 * Extra Credit if you film the entire construction and then speed it up when editing
 * Part three: Bring Catapult in to Launch a few items,
 * How far off the ground did the object launch from,
 * find the maximum height an object reached and
 * the max distance it traveled (Where did the object hit the ground not how far it slid after it landed!!!)
 * Part four: use your findings to find the formula of the path your object took and then graph
 * Below is a video to help with your caculations
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 * Part five: put your equation into grapher to verify equation
 * Part six: Put all together in a keynote or powerpoint or prezi

Types of catapults: [] [] [] []

**Cell Phone Project** You will solve all problems, then put your work in a keynote, along with videos.



7. After how many minutes does 450 plan become more expensive then the 900 plan, use substitution or elimination to solve and record your self solving the problem?

8. After how many minutes does the 900 plan cost more than the 1350, use substitution or elimination?



1. A texting plan consists of a fixed cost( the monthly fee) and a variable cost ( charge for going over your texting). Find a linear function that gives the totla cost of each plan when x extra texts are used both in and out.

2. Using the cost functions from above find how much it would cost using 300 and 600 texts per plan. Then determine the best plan for each level.

3. At what level does the unlimited plan text plan become cheaper than the 500 text plan.



1. A texting plan consists of a fixed cost( the monthly fee) and a variable cost ( charge for going over your texting). Find a linear function that gives the totla cost of each plan when x extra texts are used both in and out.

2. Using the cost functions from above find how much it would cost using 300 and 600 texts per plan. Then determine the best plan for each level.

3. At what level does the unlimited plan text plan become cheaper than the 500 text plan.

Final Project Each student will prepare a Web page showing an application of mathematics to social studies. These will be posted on a keynote. You have decided to focus on presenting population data and making predictions about population. You have met with your teachers about your project proposal and they want you to present data on two other areas, which could be countries, states, or cities. They also want you to be sure that your Web page contains the following information:

For your project, Find a table similar to this or make a table using the application numbers. Answer the following questions for your country. Refer to the table in Lesson 5–1. Use a graphing calculator or graphing software to model the population data. Refer to table in Lesson 5–1. Use a graphing calculator or graphing software to model the population data.
 * **Year** || **Population** ||
 * 1650 || 550,000,000 ||
 * 1750 || 725,000,000 ||
 * 1850 || 1,175,000,000 ||
 * 1900 || 1,600,000,000 ||
 * 1950 || 2,556,000,000 ||
 * 1980 || 4,458,000,000 ||
 * 2000 || 6,080,000,000 ||
 * Source: The World Almanac and Book of Facts**
 * 1) Write each population in scientific notation.
 * 2) Will using the values in scientific notation make it easier to graph the data? If not, suggest another way to write the values.
 * 3) Rewrite each year as //Years Since 1850//. For example 1850 will be 0, 1950 will be 100, and so on. How will this make the data easier to graph?
 * 4) Make a scatter plot of the data using the ordered pairs (years since 1850, population). Describe the shape of the scatter plot.
 * 5) Find a linear equation to model the data. How well does this model fit the population data? Explain.
 * Lesson 6–4**
 * 1) Find a quadratic equation whose graph best fits the data.
 * 2) Graph the equation and the data on the same screen. Do you think the graph of the equation fits the data? Justify your answer.
 * 3) Predict the world population for 2050 using the quadratic model. Do you think your prediction is a good estimate for the population in 2050? Why or why not?
 * Lesson 7–4**
 * 1) Find a Logarithmic function to model the population data.
 * 2) Graph the equation and the data on the same screen. Do you think the equation models the data fairly well? Explain.
 * 3) Compare the linear, quadratic, and Logarithmic models for the data. Which one do you think best models the data? Explain your reasoning.
 * 4) Use the equation you think best models the data to predict the world population in 2050.

Keynote

Slide 1 Slide 2 Slide 3 Repeat for Quadratics and Exponential Curves
 * Introduction of making a prediction with a line
 * explain how to write an equation given two points
 * Picture of graph
 * explain year zero and years since
 * Your work on writing a linear equation
 * your equation
 * your prediction

Last slide, Explain why each prediction is different

Project 3

Mini Catapult Goal design a catapult and write a formula of the path your object takes. There will be two categories you will compete in, large catapults and mini catapults,

Large catapults would be done outside and you would launch larger objects. Mini catapults can be shown in the classroom.


 * Part one: Decide on what category you want to compete in and look at the different designs


 * Part two: Construct the catapult:
 * Extra Credit if you film the entire construction and then speed it up when editing
 * Part three: Launch a few items,
 * How far off the ground did the object launch from,
 * find the maximum height an object reached and
 * the max distance it traveled (Where did the object hit the ground not how far it slid after it lnaded!!!)
 * Part four: use your findings to find the formula of the path your object took and then graph
 * Part five: Put all together in a keynote or powerpoint or prezi
 * Part six: You will bring catapults in and we will compete for prizes (tba)

Types of catapults:

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Project 2:


 * Make a video about Math. **
 * Three options, you can film a skit on a topic we have covered, **
 * ** it can be funny.. **
 * ** it can be serious, a news broadcast telling us about the topic and where it is used in the world... **
 * ** it can be a tutorial... **

Project 1: Keynote 4 slides

1 slide solving an equation, make one up or use one off the previous worksheets 1 slide solving an inequality and graph 1 slide solving an absolute value inequality 1 slide graphing a system of inequalities

add lots of transitions add music to your keynote,