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3/6/20

3/5/2020

 
Konigsberg Bridge Problem
Objective:
  • Learn about graph theory by solving the Konigsberg bridge problem


​Warm up: Students will start class by standing at a whiteboard with their chosen group
  • define a Eulerian path and draw an example on your whiteboard.
​
Boardwork Activity: 
  1. Draw a map of the problem
  2. Determine the best route so that you can cross every bridge without crossing any of them twice.

​Guiding Questions: 
  1. Draw a different arrangement of the problem
  2. Where should I start and finish?
  3. How many bridges does each island have? How does this matter?
  4. Does having an even or odd number of bridges affect whether the problem is possible? Why or why not? 
Extension: Create a map with one more island between two land masses. What is the minimum number of bridges needed to create a Eulerian path? What are the minimum bridges needed to prohibit the path? Can you generalize it?

Friday 2/21/20

2/21/2020

 
Warm up:
  1. End of Unit Survey
Screencast: Sign up for a conference with Ande or Kyle HERE

Essay: Peer critique and objective language
  1. Trade your rough between you, use the rubric and grade them as is
  2. Turn the document to suggesting mode and edit your peers document for objective language. (for instance, no “I, me, we, you…”)

Thursday 2/20/20

2/19/2020

 
Screencast: Outline for your screencast
  1. Show them example from Ande’s screencast
  2. Goal for today is to create your own outline or record

Essay: You must have a 5 minute conference with Ande or Kyle 
Sign up here to conference with Ande or Kyle

Tuesday 2/18/20

2/18/2020

 
Objective: 
  • Screencast: develop a structure for delivering a lesson
  • Essay: Sign up for individual conference with Kyle or Ande

Agenda:
  1. Split up into screencast and essay people
  2. Check Spreadsheets
  3. Work time
​
Screencast: Listen to the spiel about how to deliver an effective lesson
  1. The key to being clear and effective when delivering information is to be overly explicit. 
    1. Tell them what you going to teach, teach them, tell them what you taught
    2. Task: How do I find the (Xw, Yw) on the ferris wheel? Practice teaching this using:
      1. Tell them what you are going to teach
      2. Teach
      3. Tell them what you taught

Essay: You must have a 5 minute conference with Ande or Kyle 
Sign up here to conference with Ande or Kyle

Thursday 2/13/20 High Dive Final Project

2/13/2020

 
Picture
Unit Objectives:
  1. Break complex problems into smaller components
  2. Identify independent variables and dependant variables in a problem, and clearly communicate them. 
  3. Identify the goal and the steps needed to solve complex problems

Overview: To conclude High Dive you will complete a final project. The goal of this final project is to show that you know how to solve the unit problem, and also reflect on your learning. Please note that this is an individual project, so you will turn in your project individually, however, you are welcome to work together developing your final product. Below are 3 options you can do for your project: 
  1. Screencast
  2. Essay and Spreadsheet
  3. Project of Choice (must have divine blessing)​

DUE: Monday 2/24/20

Task:
1. 5 min: read the rubric found HERE
2. 1-5 min: Clarifying questions
3. 10 min: Watch Example Screencast

Master Spreadsheet: 
1. Survey: Who is done and who is not?
2. Rotate to another table and sit with people you do not usually work with. Ask the following questions.

  • Plug in 0 seconds, 10 seconds, and 37 seconds. Are your numbers the same as your group? 
  • How is my spreadsheet organized compared to everyone else, is mine easy to follow?
3. Get working


Tuesday 2/11/20 Master Spreadsheet

2/10/2020

 
Warm up:
  1. What are my inputs and outputs in my spreadsheet?
  2. How can I organize my spreadsheet to be easy to understand?

​Master Spreadsheet: 
You should have started your master spreadsheet with the x and y position on the ferris wheel. Now I would like you to code in all the rest of the formulas into your master spreadsheet. 

Note: Sheets works in radians so our angular speed will be different. Remember that we got the angular speed by dividing our total degrees by the total time it takes to go around. How can I do that in radians?

Monday 2/10/20

2/10/2020

 
Objectives:
  1. Finalize the formulas for initial velocity and horizontal distance traveled
  2. Connect all the formulas to the bigger picture by mapping them in chronological order
​
Warm up: Review pg 85 #2
  1. First assume that W is less than 10 seconds, so the diver will be in the first quadrant. Write an expression in terms of W for the vertical and horizontal components of the diver’s velocity. 
                  Calculus: If I take the derivative of my X and Y position on the ferris wheel what do I get?
  1. Remember I start with a (X,Y) position on the ferris wheel, and get launched off with an initial velocity. What is the generalized formula for the horizontal distance traveled?

Chronology of Formulas Activity
Picture
  1. As a group write out all of the formulas used to solve the unit problem on sticky notes. Each formula should be appropriately labeled and each variable clearly defined so that you will know what the formula represents.
  2. ​On the adjacent whiteboard, arrange the sticky notes is a way that creates a chronological map of formulas. This should tell you the start to finish process of solving the unit problem.

Master Spreadsheet: 
You should have started your master spreadsheet with the x and y position on the ferris wheel. Now I would like you to code in all the rest of the formulas into your master spreadsheet. 
Some things to think about:
  1. What ware inputs and outputs?
  2. How do the formula connect to each other?
  3. How can I organize my spreadsheet to be easy to use?

Friday 2/7/20

2/6/2020

 
Objective: Generalize the initial velocity jumping of the Ferris Wheel

Review: Skateboarder and Merry Go Round
1) Velocity of the skateboarder right after letting go of the merry go round?
2) Angle of the skateboarder’s path?
4) How long will it take for the skateboarder to reach the wall?

General Velocities
  1. Complete pages 84 #1-2, and 85 # 1-4 in the textbook
  2. Update Formulas ​

Thursday 2/6/20

2/5/2020

 

​Warm up: Review Cart and the Wheel Activity

3) What is the formula that describes the carts position given time t? 

4) Given the information about the cart, use desmos to find what time is the cart directly below the diver on the ferris wheel?  

5) Will our beloved senior survive if she jumped off when the cart was directly below her position?
​
6) Generalize a formula for the position of the cart that accounts for the diver falling. (tell Ande to write terms on the board to make this easier)

Determine the Initial Velocity
Directions: For the next assignment answer the questions from the book on a seperate sheet of paper. You will turn this into Ande on Friday 2/7. 
​
Launched from 12 o’ clock (Explanation)
  1. Read page 79 in the textbook.
  2. What is the speed of our Ferris Wheel?
  3. Answer problems 1 and 2

David and the Merry Go Round (Simplified version of the Ferris Wheel without gravity)
  1. Read page 81 but when you see the word “skateboarder” think David. 
  2. Complete questions 1, 2, 4
​

Tuesday 2/4/20

2/4/2020

 
​Objective: Generalize the position of the cart based on the ferris wheel

​Warm up: 
A cliff jumper jumps of a 45ft cliff and his position as he falls can be described by the formula dg=45+7t-16t^2 where t is time in seconds. 
  1. How high did the cliff jumper go before descending, and at what time?
  2. How long will it take the cliff jumper to reach the water?​

Ferris Wheel and the Cart Part 2:
  1. Open the Ferris Wheel and Cart Document you started yesterday
  2. Complete Part 2
  3. When finished email it to Ande

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