Name___________________________ Date: _____________ Algebra 1 Linear Equations Project Entertainment Center Project Task 1: Designing your Center You have recently been hired to create a blueprint for a brand new entertainment center of your choice. Your boss, has created a list of ALL the attractions he would like included in the center. (Entertainment Center examples: Water park, Amusement park, Shopping mall, Real life video-game, School, be creative!!) Design the entertainment center of your choice on a full sheet of graph paper. 1. Collaborate with your group what kind of entertainment center you want to create. Come up with a name and describe (bottom half of this paper) 2. Take your graph paper and find the center to create x/y axis (draw this in and label). 3. Plot the attractions on your graph paper **WITH PENCIL FIRST**. Try to use as much of your graph paper as possible. 4. Complete the rest of this packet, then go back to decorate your center. BE CREATIVE, MAKE IT LOOK PRETTY :) Attractions to be included in your Entertainment Center: -Entrance -Help center -4 different attractions -Kids area -Food Court or restaurant (2) -Restroom/Bathroom (2) -Security My entertainment center is a: _______________________________________ (describe it here) My entertainment center’s name is _________________________________ Attraction Names: Attraction: Entertainment Center Name: Entrance Help Center Attraction #1 Attraction #2 Attraction #3 Attraction #4 Kids Area Food Court/Restaurant #1 Food Court/ Restaurant #2 Bathroom #1 Bathroom #2 Security **Help Ms. DeVincentz out by putting your attractions name in the boxes below** Task 2: Naming Your Coordinates: After planning out the layout and design of your center attractions, identify it’s location on your grid by using ordered pairs. Record your ordered pairs for each below: Location Ordered Pairs: Location Ordered Pairs: Entrance ( _____ , _____) Kids Area ( _____ , _____) Help Center ( _____ , _____) Food Court/Restaurant ( _____ , _____) Attraction #1 ( _____ , _____) Food Court/ Restaurant #2 ( _____ , _____) Attraction #2 ( _____ , _____) Bathroom #1 ( _____ , _____) Attraction #3 ( _____ , _____) Bathroom #2 ( _____ , _____) Attraction #4 ( _____ , _____) Security ( _____, ______) TASK 3: Calculating the Slope After identifying each attraction’s location with ordered pairs, you are now ready to calculate the slope between attractions using the slope formula, Y –Y X –X Using a RED pencil and a ruler, MARK the direct path to/from the locations mentioned below. Calculate the slope of the line that is formed, and show your work in the space provided. CIRCLE ALL FINAL ANSWERS! 2 1 2 1 Help Center to Attraction #1 Kids Area to Food Court/Restaurant #1 Entrance to Restroom# 1 Attraction #2 to Attraction #4 Restroom #2 to Restroom #1 Entrance to Security Center Attraction # 1 to Attraction #3 Attraction #3 to Food Court/Restaurant #2 Task 4: Write Linear Equations in Point Slope Form: Using your slope and one of the two ordered pairs, write the equation of the line from the one attraction to the next in point slope form. Point Slope = y- y = m(x-x ) 1 1 Help Center to Attraction #1 Kids Area to Food Court/Restaurant #1 Entrance to Restroom# 1 Attraction #2 to Attraction #4 Restroom #2 to Restroom #1 Entrance to Security Center Attraction #1 to Attraction #3 Attraction #3 to Food Court/ Restaurant #2 Task 5: Write Linear Equations in Slope Intercept Form: Write an equation in slope intercept form. You can do this two different ways: Option 1: Use your point slope form, distribute and solve for y. Option 2: Use the linear equation, y = mx +b and solve for B (the y-intercept). Use your slope (m) from task three and one of the identified endpoints of that line (x, y). Help Center to Attraction #1 Kids Area to Food Court/Restaurant Entrance to Restroom# 1 Attraction #2 to Attraction #4 Restroom #2 to Restroom #1 Entrance to Security Center Attraction # 1 to Attraction #3 Attraction #3 to Food Court/Restaurant #2 Task 6: Writing Linear Equations in Standard Form: Now that you have found the equations for all of your lines in point slope and slope intercept form, transform your equations into standard form! Standard Form: Ax + By = C **Don’t forget A CAN NOT BE NEGATIVE, NO FRACTIONS or DECIMALS** Help Center to Attraction #1 Kids Area to Food Court/Restaurant #1 Entrance to Restroom# 1 Attraction #2 to Attraction #4 Restroom #2 to Restroom #1 Entrance to Security Center Attraction # 1 to Attraction #3 Attraction #3 to Food Court/ Restaurant #2 Task 7: Color and decorate your blue prints!! (BE CREATIVE!!) Task 8: Complete self-reflection (It will not be accepted late) **THIS PROJECT IS DUE FRIDAY, DECEMBER 4th, 2015**
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