Introduction
Its important to know that although the Great Depression has many negative connotations tied to it, out of recession came great invention. As students will see through the eyes of their characters, people became desperate to find supplemental income to feed their families. This created a boom of pioneer engineers who created inventions such as the Band-Aid, the lie detector, Scotch tape, the first analog computer, FM radio, drive-in movies and the jet engine. Another of these great inventions was the Rosenthal Brothers’ Coney Island Cyclone, which debuted in 1927 as one of the world’s first roller coasters and is still in operation today. Students will act as Engineers to determine the linear algebra, laws of motion and geometry elements that are essential for building a roller coaster.
Objectives
What will the student know or be able to do at the end of the project?
By the end of this project students will be able to:
By the end of this project students will be able to:
• Collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program.
• Compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less common objects.
• Determine how perimeter, area, and volume are affected by changes of scale.
• Graph linear equations and Point-Slope
• Write and Solve linear equations and inequalities
• Define mean, median, and mode of a distribution of data and can compute each in particular situations.
• Understand and can prove that Newton’s laws predict the motion of most objects.
Product
Product: What will the student create during this product?
• Household Budget – students will complete each ‘month’s’ budget every week depending on what catastrophe happened to them that month. These will be entered into their portfolio and reflected upon on their journal in Humanities.
• Black Tuesday – students will make sense of the stock market. What happened on Black Tuesday mathematically and could/has it happened again?
• Rollercoaster Blueprint – various versions which illustrate students’ ability to plot coordinates on a graph, calculating slope, write linear equations and inequalities and draw 3D shapes.
• Blueprint Required Calculations – worksheets which illustrate students’ ability to plot coordinates, calculate slope, solve linear equations and inequalities, calculate Base Area, Base Perimeter/Circumference, Surface Area and Volume of 3D shapes, determine how scale affects these calculations, calculate mean, median, mode and range, represent the success of the coaster in a ratio and calculate its probability of success.
• Video Diary – which documents the steps the students took to complete the project, the struggles they faced and the ways they overcame them.
• Project Poster – which includes all versions of the blueprint in chronological order with a written reflection.
• Roller Coaster Model – a scaled 3D version of their roller coaster blueprint.
• Black Tuesday Analysis – students will examine what happened during the stock market crashed known as Black Tuesday and determine if the stock market has or could ever crash again.
• Physics Research Paper – students will research and reflect on how certain concepts in Physics played a roll in the success or failure of their coaster and must determine how they would use this knowledge to make changes in a full sized Roller Coaster.
Week of 12/14
Electronic Portfolio Upload DUE 12/5
Roller Coaster and project board completion completion DUE 12/15
Exhibition Night 12/16
Roller Coaster Class Presentation 12/16
Semester Reflection and Sneak Peak at Semester 2 12/17-12/18
Roller Coaster and project board completion completion DUE 12/15
Exhibition Night 12/16
Roller Coaster Class Presentation 12/16
Semester Reflection and Sneak Peak at Semester 2 12/17-12/18
12/7-12/11
Roller Coaster Research Paper DUE 12/11
Roller Coaster Portfolio Due 12/11
TEAM ELEMENTS:
Roller Coaster Portfolio Due 12/11
TEAM ELEMENTS:
- Blueprint #1 – Original
- AS - Plotting Coordinates, Blueprint #2– Coordinates and Blueprint #3 – Peer
- AS – Calculating Slope and Blueprint #4 – Slope
- AS - Writing Linear Equations and Blueprint #5 – Linear Equations
- AS – Geometric Shapes and Blueprint #6 – Geometric Shapes
- AS – Scale – Blueprint #7 - Scaled
- AS – Roller Coaster Physics and Blueprint #8
- AS – Analysis Measures of Central Tendency and Probability
- Working Finished Rollercoaster
INDIVIDUAL ELEMENTS:
- ROLLER COASTER RESEARCH PAPER
Week of 11/30-12/4
Roller Coaster Physics Reflection
What role did the following physics concepts play in the success/failure of your roller coaster?
- Potential Energy
- Momentum
- Kinetic Energy
- Newton’s First Law (Inertia)
- Force
- Gravity (Gravitational Force)
- Weightlessness
- Energy
- Centripetal Force
- Balanced and Unbalance Force
- Friction
- Velocity
- Acceleration
- Newton’s Second Law (F=ma)
- Newton’s Third Law (Reaction)
- Resistance
Write a five-page reflective research paper highlighting the roles that these concepts played in your roller coaster development and how you could use them to build and even more successful, fun and safe full sized roller coaster?
| Activity | Due Date |
| Brainstorm Activity Sheet | 11/30 |
| Outline | 12/1 |
| Rough Draft V1 for peer | 12/4 |
| Peer Edit | 12/8 |
| Rough Draft V2 for teacher | 12/10 |
| Final Version | 12/14 |
Week 13 11/9-11/13
Notes - Solving Systems of equations using addition/subtraction, substitution and graphing. 11/9
Activity 1 - students will go to http://webgraphing.com/ and graph the systems of equations that make up their roller coaster. They will then compare this to their blueprint and correct any inconsistencies. 11/10
Activity 2 - Students will then complete the Solving Systems of Equations activity by setting each line equal to the next to determine where the two intersect on the graph. They will then use the online 2nd graphing site to check their work. DUE 11/12/09
Graphing Lines in Slope Intercept Form Homework - DUE 11/11/09 students practice graphing equations in slope intercept form and standard form.
Create your personal e-portfolio blog using these steps in our classroom tutorial. DUE 10/11/09
1920's-1930's Simulation
Character Budget # 8 - complete the actual vs projected monthly budget in the format provided in class. DUE 11/12/09
Month 8 Situation Change - your character's life is changing again. Using the Character Events- Month 8 determine what new event has happened and budget according on your Month 8 Tracking Sheet DUE 11/12/09
Activity 1 - students will go to http://webgraphing.com/ and graph the systems of equations that make up their roller coaster. They will then compare this to their blueprint and correct any inconsistencies. 11/10
Activity 2 - Students will then complete the Solving Systems of Equations activity by setting each line equal to the next to determine where the two intersect on the graph. They will then use the online 2nd graphing site to check their work. DUE 11/12/09
Graphing Lines in Slope Intercept Form Homework - DUE 11/11/09 students practice graphing equations in slope intercept form and standard form.
Create your personal e-portfolio blog using these steps in our classroom tutorial. DUE 10/11/09
1920's-1930's Simulation
Character Budget # 8 - complete the actual vs projected monthly budget in the format provided in class. DUE 11/12/09
Month 8 Situation Change - your character's life is changing again. Using the Character Events- Month 8 determine what new event has happened and budget according on your Month 8 Tracking Sheet DUE 11/12/09
Week 11 & 12 10/26-11/6
ROLLER COASTER BUILD!!!!!
Students will build their roller coasters!
E-Portfolio Updates - students will begin uploading their final versions of their humanities and engineer project elements to their blogs.
1920's-1930's Simulation
Character Budget # 8 - complete the actual vs projected monthly budget in the format provided in class. DUE 10/28/09
Month 8 Situation Change - your character's life is changing again. Using the Character Events- Month 78 determine what new event has happened and budget according on your Month 8 Tracking Sheet DUE 10/28/09
Students will build their roller coasters!
E-Portfolio Updates - students will begin uploading their final versions of their humanities and engineer project elements to their blogs.
1920's-1930's Simulation
Character Budget # 8 - complete the actual vs projected monthly budget in the format provided in class. DUE 10/28/09
Month 8 Situation Change - your character's life is changing again. Using the Character Events- Month 78 determine what new event has happened and budget according on your Month 8 Tracking Sheet DUE 10/28/09
Week 10 10/19-10/23
Stations:
Going Logo - students take a logo and use scaling to magnify it 3 times and sketch it out.
Road Trip - students will plan a summer road trip through California. They must calculate the distance in centimeters on a map and convert it to miles. Then they must decide how long the trip will take if they average a speed of 50 miles per hour and how much money they will need for gas if the average gas price is $3.75 and their car averages 30 miles per gallon.
AAAmath.com MEASUREMENT
1920's-1930's Simulation
Character Budget # 7 - complete the actual vs projected monthly budget in the format provided in class. DUE 10/21/09
Month 5 Situation Change - your character's life is changing again. Using the Character Events- Month 7 determine what new event has happened and budget according on your Month 7 Tracking Sheet DUE 10/21/09
Going Logo - students take a logo and use scaling to magnify it 3 times and sketch it out.
Road Trip - students will plan a summer road trip through California. They must calculate the distance in centimeters on a map and convert it to miles. Then they must decide how long the trip will take if they average a speed of 50 miles per hour and how much money they will need for gas if the average gas price is $3.75 and their car averages 30 miles per gallon.
AAAmath.com MEASUREMENT
1. Go to http://www.aaastudy.com/geo.htm
2. Click on Measurement
3. Then select METRIC LENGTH
4. Scroll down to where it says PRACTICE
5. Do the problem and click Check
6. Complete 10 problems (if your percentage correct is 80 or higher report totals if not go back and start over)
7. Click Report Totals
8. When the Totals Report pops up print screen and past into a word document
9. Title the document First Name Metric Length
10. Repeat these steps for the following:
· Converting Metric and U.S. Lengths
1920's-1930's Simulation
Character Budget # 7 - complete the actual vs projected monthly budget in the format provided in class. DUE 10/21/09
Month 5 Situation Change - your character's life is changing again. Using the Character Events- Month 7 determine what new event has happened and budget according on your Month 7 Tracking Sheet DUE 10/21/09
Week 9 10/12-10/16
Geometric Calculations
Blueprint # 6 - Geometric Shapes - Plan and sketch the Geometric shapes you plan to use to support your roller coaster. DUE 10/12
Homework - Read and review 10-1 - Areas of Parallelograms and Triangles p 532-536 DUE 10/13
Classwork - Answer Qs 1-12, 15-23, 28-36 and 37-44 DUE 10/13
Homework - Read and review 10-2 Areas of Trapezoids, Rhombuses and Kites p 540-542 DUE 10/14
Classwork - Answer Qs 4-13, 20-29 and 38-42 DUE 10/14
Homework - Read and review 10-3 Areas of Regular Polygons p 546-548 DUE 10/15
Classwork - Answer Qs 1-9, 19-24 and 39-50 DUE 10/15
Homework - Read and review 10-4 Perimeters and Areas of Similar Triangles p 553-555 DUE 10/16
Classwork - Answer Qs 1-8, 17-21, 26-40 and 45-49 DUE 10/16
Activity Sheet - Geometric Shapes - Calculate the area and perimeter of each shape in your blueprint DUE 10/16
Blueprint # 6 - Geometric Shapes - Plan and sketch the Geometric shapes you plan to use to support your roller coaster. DUE 10/12
Homework - Read and review 10-1 - Areas of Parallelograms and Triangles p 532-536 DUE 10/13
Classwork - Answer Qs 1-12, 15-23, 28-36 and 37-44 DUE 10/13
Homework - Read and review 10-2 Areas of Trapezoids, Rhombuses and Kites p 540-542 DUE 10/14
Classwork - Answer Qs 4-13, 20-29 and 38-42 DUE 10/14
Homework - Read and review 10-3 Areas of Regular Polygons p 546-548 DUE 10/15
Classwork - Answer Qs 1-9, 19-24 and 39-50 DUE 10/15
Homework - Read and review 10-4 Perimeters and Areas of Similar Triangles p 553-555 DUE 10/16
Classwork - Answer Qs 1-8, 17-21, 26-40 and 45-49 DUE 10/16
Activity Sheet - Geometric Shapes - Calculate the area and perimeter of each shape in your blueprint DUE 10/16
Week 8 10/5-10/9
10/5-10/7
E-Portfolio Creation - Students design their electronic portfolios using blogger.com. E- portfolio must include the following:
A main page with a picture and a two paragraph summary of who you are and who you want to become. Two links to your project pages. One to a humanities page and one to an engineering page.
A humanities project page which includes a two paragraph description of the great depression project, as seen through the eyes of your character, and a picture related to your character.
An Engineering page which includes a two paragraph description of the roller coaster project process taking us through the planning process to include: plotting points, calculating slope and writing systems of linear equations.
1920's-1930's Simulation
Character Budget # 6 - complete the actual vs projected monthly budget in the format provided in class. DUE 10/7/09
Month 5 Situation Change - your character's life is changing again. Using the Character Events- Month 6 determine what new event has happened and budget according on your Month 6 Tracking Sheet DUE 10/7/09
E-Portfolio Creation - Students design their electronic portfolios using blogger.com. E- portfolio must include the following:
A main page with a picture and a two paragraph summary of who you are and who you want to become. Two links to your project pages. One to a humanities page and one to an engineering page.
A humanities project page which includes a two paragraph description of the great depression project, as seen through the eyes of your character, and a picture related to your character.
An Engineering page which includes a two paragraph description of the roller coaster project process taking us through the planning process to include: plotting points, calculating slope and writing systems of linear equations.
1920's-1930's Simulation
Character Budget # 6 - complete the actual vs projected monthly budget in the format provided in class. DUE 10/7/09
Month 5 Situation Change - your character's life is changing again. Using the Character Events- Month 6 determine what new event has happened and budget according on your Month 6 Tracking Sheet DUE 10/7/09
Week 7
Quiz 9/28/09 - Students swap coordinates and calculate slope of a partners roller coaster blueprint.
Roller Coaster Blueprint #5 - Students label the slopes they calculated on their blueprints. DUE 9/28/09
Notes - Calculating Y-Intercept given slope and one point. 9/29/09
Calculating Y-Intcept given Slope and One Point Homework - DUE 9/29/09 - students practice calculating y-intecept using slope and one point.
Notes- Writing equations in standard and slope intercept form 9/30/09
Wrtiting Linear Equations Activity Homework DUE 10/1/09
students practice writing equations in standard and slope intercept form.
Graphing Lines in Slope Intercept Form Homework - DUE 10/2/09 students practice graphing equations in slope intercept form and standard form.
Partner Hand Off - students will trade Calculating Slope Activity Sheets with a partner. Partners will have to use calculations to calculate y-intercept and write linear equations in slope intercept form DUE 10/4/09
1920's-1930's Simulation
Character Budget # 5 - complete the actual vs projected monthly budget in the format provided in class. DUE 10/2/09
Month 5 Situation Change - your character's life is changing again. Using the Character Events- Month 5 determine what new event has happened and budget according on your Month 5 Tracking Sheet DUE 10/2/09
Roller Coaster Blueprint #5 - Students label the slopes they calculated on their blueprints. DUE 9/28/09
Notes - Calculating Y-Intercept given slope and one point. 9/29/09
Calculating Y-Intcept given Slope and One Point Homework - DUE 9/29/09 - students practice calculating y-intecept using slope and one point.
Notes- Writing equations in standard and slope intercept form 9/30/09
Wrtiting Linear Equations Activity Homework DUE 10/1/09
students practice writing equations in standard and slope intercept form.
Graphing Lines in Slope Intercept Form Homework - DUE 10/2/09 students practice graphing equations in slope intercept form and standard form.
Partner Hand Off - students will trade Calculating Slope Activity Sheets with a partner. Partners will have to use calculations to calculate y-intercept and write linear equations in slope intercept form DUE 10/4/09
1920's-1930's Simulation
Character Budget # 5 - complete the actual vs projected monthly budget in the format provided in class. DUE 10/2/09
Month 5 Situation Change - your character's life is changing again. Using the Character Events- Month 5 determine what new event has happened and budget according on your Month 5 Tracking Sheet DUE 10/2/09
Week 6
Calculating Slope Notes 9/21/09
Calculating Slope Using a Graph Homework - DUE 9/22/09
students practice calculating sloping using a graph to count rise over run.
Roller Coaster Plotting Coordinates Quiz - students will switch coordinate sheets with a partner and must plot the coordinates on a graph. Once plotted students must connect the points to create their partner's roller coaster. Students will be grading on accuracy of plotting points. 9/22/09
Calculating Slope Using Two Points Homework - DUE 9/23/09 - students practice calculating sloping using two points on a graph and the equation m= (y2-y1)/(x2-x1).
Roller Coaster Blueprint #3 - Calculate the slope of each line segment using m=(y2-y1)/(x2-x1). DUE 9/24/06
Complete the Calculating Slope Activity Sheet DUE 9/24/09
Partner Hand Off - students will trade Calculating Slope Activity Sheets with a partner. Partners will have to use calculations to draw the slope/roller coaster on a blank piece of graph paper. Results will be compared to original roller coaster to determine accuracy and changes will be made accordingly DUE 9/25/09
1920's-1930's Simulation
Character Budget # 4- complete the actual vs projected monthly budget in the format provided in class. DUE 9/25/09
Month 4 Situation Change - your character's life is changing again. Using the Character Events- Month 4 determine what new event has happened and budget according on your Month 4 Tracking Sheet DUE 9/25/09
Calculating Slope Using a Graph Homework - DUE 9/22/09
students practice calculating sloping using a graph to count rise over run.
Roller Coaster Plotting Coordinates Quiz - students will switch coordinate sheets with a partner and must plot the coordinates on a graph. Once plotted students must connect the points to create their partner's roller coaster. Students will be grading on accuracy of plotting points. 9/22/09
Calculating Slope Using Two Points Homework - DUE 9/23/09 - students practice calculating sloping using two points on a graph and the equation m= (y2-y1)/(x2-x1).
Roller Coaster Blueprint #3 - Calculate the slope of each line segment using m=(y2-y1)/(x2-x1). DUE 9/24/06
Complete the Calculating Slope Activity Sheet DUE 9/24/09
Partner Hand Off - students will trade Calculating Slope Activity Sheets with a partner. Partners will have to use calculations to draw the slope/roller coaster on a blank piece of graph paper. Results will be compared to original roller coaster to determine accuracy and changes will be made accordingly DUE 9/25/09
1920's-1930's Simulation
Character Budget # 4- complete the actual vs projected monthly budget in the format provided in class. DUE 9/25/09
Month 4 Situation Change - your character's life is changing again. Using the Character Events- Month 4 determine what new event has happened and budget according on your Month 4 Tracking Sheet DUE 9/25/09
Week 5
Calculating Slope Notes 9/14/09
Blueprint #2 Revisions and Completion DUE 9/15/09
Plotting Points Take Home Quiz - DUE 9/16/09
Page 1, Page 2, Page 3
Calculating Slope Foldable Creation due 9/17/09
Partner Hand Off - students will trade Plotting Coordinates Activity Sheets with a partner. Partners will have to use calculations to draw the roller coaster on a blank piece of graph paper. Results will be compared to original roller coaster to determine accuracy and changes will be made accordingly DUE 9/18/09
1920's-1930's Simulation
Character Budget # 3- complete the actual vs projected monthly budget in the format provided in class. DUE 9/18/09
Month 3 Situation Change - your character's life is changing again. Using the Character Events- Month 3 determine what new event has happened and budget according on your Month 3 Tracking Sheet DUE 9/18/09
Blueprint #2 Revisions and Completion DUE 9/15/09
Plotting Points Take Home Quiz - DUE 9/16/09
Page 1, Page 2, Page 3
Calculating Slope Foldable Creation due 9/17/09
Partner Hand Off - students will trade Plotting Coordinates Activity Sheets with a partner. Partners will have to use calculations to draw the roller coaster on a blank piece of graph paper. Results will be compared to original roller coaster to determine accuracy and changes will be made accordingly DUE 9/18/09
1920's-1930's Simulation
Character Budget # 3- complete the actual vs projected monthly budget in the format provided in class. DUE 9/18/09
Month 3 Situation Change - your character's life is changing again. Using the Character Events- Month 3 determine what new event has happened and budget according on your Month 3 Tracking Sheet DUE 9/18/09
Week 4
Roller Coaster
Fractions Notes - adding, subtracting, multiplying and dividing fractions lesson review.
Fractions Homework - DUE 9/9/09
Roller Coaster Blueprint # 1- design a blueprint for your coaster using graph paper. Make sure to include a theme and present it to your group. DUE 9/10/09
Roller Coaster Physics Webquest - DUE 9/11/09
Fractions Quiz - 9/11/09
Plotting Points Notes - 9/9/09-9/10/09
Roller Coaster Blueprint # 2 - Coordinate Graph - determine where your coaster's slope changes and plot each point on the X and Y axis using (x,y). Label each point and complete the Plotting Points activity sheet. DUE 9/14/09
1920's-1930's Simulation
Character Budget - complete the actual vs projected monthly budget in the format provided in class. DUE 9/9/09
Month 2 Situation Change - your character's life is changing again. Using the Character Events- Month 2 determine what new event has happened and budget according on your Month 2 Tracking Sheet DUE 9/11/09
Fractions Notes - adding, subtracting, multiplying and dividing fractions lesson review.
Fractions Homework - DUE 9/9/09
Roller Coaster Blueprint # 1- design a blueprint for your coaster using graph paper. Make sure to include a theme and present it to your group. DUE 9/10/09
Roller Coaster Physics Webquest - DUE 9/11/09
Trackstar4teachers.com
Track #391097, 'Roller Coaster Physics'
Password: davinci
SELECT VIEW IN FRAMES
Fractions Quiz - 9/11/09
Plotting Points Notes - 9/9/09-9/10/09
Roller Coaster Blueprint # 2 - Coordinate Graph - determine where your coaster's slope changes and plot each point on the X and Y axis using (x,y). Label each point and complete the Plotting Points activity sheet. DUE 9/14/09
1920's-1930's Simulation
Character Budget - complete the actual vs projected monthly budget in the format provided in class. DUE 9/9/09
Month 2 Situation Change - your character's life is changing again. Using the Character Events- Month 2 determine what new event has happened and budget according on your Month 2 Tracking Sheet DUE 9/11/09
Events Include:
1. Pro-Communism - see Ms. Hedge for assignment. Budget remains the same.
2. Anti-Communism- see Ms. Hedge for assignment. Budget remains the same.
3. Pro-Union - see Ms. Hedge for assignment. Budget remains the same.
4. Anti Union - see Ms. Hedge for assignment. Budget remains the same.
5. Laid-Off/Fired- No pay during this month. You may have to go into your savings. Remember if you are buying anything on loan they cannot get government assistance. If not you may receive Government Assistance of $35.00 this month.
6. % Decrease-Take the decrease off your monthly income.
For example: Ms. Red earns 25.00 dollars per month and she gets a 10% decrease. She finds 10% of 25.00 (2.50) and subtracts that amount from her monthly income for the current month. This will give her 23.50 to work with.
7. Doctor Bill-Single People must pay 3.00 dollars. People with children must pay 3.00 for themselves and 1.00 per child.
8. Strike- No pay. No government assistance. Must make a picket sign. See Ms. Hedge
Week 3
Roller Coaster
Linear Motion Questions: (handout from class. Use Linear Motion notes and online resources - PHSchool.com enter code and go to Mechanics/Linear Motion CH2) DUE 9/2
1920's-1930's Simulation
Review the Great Depression Simulation notes which includes the simulation directions
Complete Character Tracking Sheet
Using The Great Depression Shopping List
This is your character info
Linear Motion Questions: (handout from class. Use Linear Motion notes and online resources - PHSchool.com enter code and go to Mechanics/Linear Motion CH2) DUE 9/2
Review Qs 1-14Inventions Business Plan Activity Sheet - Inventions mini-project business plan activity sheet and presentation instructions DUE 9/1
Plug & Chug 26-30
Think & Explain 34-36
Think & Solve 42-46
1920's-1930's Simulation
Review the Great Depression Simulation notes which includes the simulation directions
Complete Character Tracking Sheet
Using The Great Depression Shopping List
This is your character info
Answer all of the questions on the Character Development Sheet. Make sure to research any time sensitive material. DUE 9/3/09
Week 2
Linear Motion Notes - class notes on linear motion
Linear Motion Activity Sheet - class activity sheet and homework on linear motion DUE 8/26
Math & Science Autobiography - what have your experiences in Math and Science been so far. DUE 8/24
Linear Motion Activity Sheet - class activity sheet and homework on linear motion DUE 8/26
Math & Science Autobiography - what have your experiences in Math and Science been so far. DUE 8/24
Week 1
Engineering 101 Notes - what is engineering and what are the different types of engineering fields.
Scientific Method Notes - what is the scientific method and how can we use it in the invention process.
Inventions Activity - create something that has never been invented, develop a prototype, detailed sketch and business plan (including estimated profits). Part 1 Due 8/21
QVC Article - read about the many different types of amature inventors who strike it rich on QVC
Friday, June 6, 2008
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