U1 Project - Analyzing Linear Patterns.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"U1 Project - Analyzing Linear Patterns.ipynb","provenance":[{"file_id":"1fHTJhkDf18u4nzwgFcptKLZ_cciVxQpN","timestamp":1631402721324},{"file_id":"1C4kroeUXyUtBNSKtFgwuW7Mfm8H6fV23","timestamp":1600693772144},{"file_id":"1wD8vEKAG2pjf8reIR9tAWseYWLzrF57m","timestamp":1600459900089},{"file_id":"13y3gfFk9S6T83etoFv7Ts5LWRoDGgZ6K","timestamp":1600457214152},{"file_id":"1tKs2sV6TyMBhMIKHFTytcszGrHwbDBgf","timestamp":1600279015131},{"file_id":"16VhwlsGbJRMMw3CbHrchOhfNLetKP7tH","timestamp":1600277256150}],"collapsed_sections":[]},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"markdown","metadata":{"id":"O-7mHI6N_pkK"},"source":["# U1 Project: Analyze Linear Patterns\n","The goal of this project is to *use*, *modify*, and *create* code to analyze linear patterns we have studied in class."]},{"cell_type":"markdown","metadata":{"id":"jzuG4z2HJ-WL"},"source":["### **Task #1: Run these cells!**\n","\n","*   Modify the first cell to calculate 215 + 381\n","*   Modify the second cell to print the values 0-6.\n"]},{"cell_type":"code","metadata":{"id":"9cWpWJCJ_kYW"},"source":["10+15"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"ZeS7-4rVBLg6"},"source":["x = range(0, 9)\n","list(x)"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"HjbVv0K3KQKy"},"source":["### **Task #2: Edit a text cell.**\n","\n","\n","*   Edit the text cell below to finish the sentence."]},{"cell_type":"markdown","metadata":{"id":"tmP-eK6iNSCK"},"source":["Something that I enjoy doing outdoors is ..."]},{"cell_type":"markdown","metadata":{"id":"I2fGJQLlBv55"},"source":["# **Linear Situation**\n","\n","**Situation: You purchase a tomato plant sapling from the store. It's height over time is modeled by the code you will create.**\n","\n","<center><img src=\"https://drive.google.com/uc?export=view&id=12j7tLrnoPl12jy5Dr3YxRRA-mxlRFZBm\"></center>"]},{"cell_type":"markdown","metadata":{"id":"y7jNhhdJAv1y"},"source":["### **Task #3: Edit a text cell.** \n","\n","* Edit the text cell below to finish the sentence. In your own words, what is a *linear* pattern?"]},{"cell_type":"markdown","metadata":{"id":"QjfktncPN1oV"},"source":["A linear pattern is ..."]},{"cell_type":"markdown","metadata":{"id":"VJLNddC1CmS1"},"source":["### **Task #4: Modify the code and continue the pattern** \n","\n","* Modify the code below to include two more days (up to day 6).\n","* Use the `range` function to replace the list for `days`. (See Task #1, where you used the `range` function, if you need a reminder.)"]},{"cell_type":"code","metadata":{"id":"p-lwt0VUO3IS"},"source":["days = [0,1,2,3,4]\n","heights = [2, 2.5, 3, 3.5, 4]\n","\n","from tabulate import tabulate\n","table = [\n","         [\"Days\"]+days,\n","         [\"Height (inches)\"]+heights,\n","]\n","\n","print(tabulate(table))"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"_mk555jJQ0LO"},"source":["### **Task #5: Modify the code and generate the pattern** \n","\n","The code below uses a `for` loop. Read through the code to see how the for-loop works.\n","\n","* Read the code below. (Yes - actually \"read\" it first!)\n","* Modify the code so that the plant starts at 2 inches and grows 0.5 inches each day, to match this situation above.\n","* Modify the code so that it runs for 10 days."]},{"cell_type":"code","metadata":{"id":"vmge1ew3Qz-R"},"source":["days = list(range(8)) # Create a list of days\n","heights = [5] # Create a list with the starting value as the only entry\n","growth = 1.5\n","\n","# Notes:\n","# In the for-loop below, we do not need to append a height for the day0\n","# days[1:] is the same as the days list, without day0.\n","# heights[-1] is always the most recent height.\n","for day in days[1:]:\n","  heights.append(heights[-1]+growth)\n","\n","from tabulate import tabulate\n","table = [\n","         [\"Days\"]+days,\n","         [\"Height (inches)\"]+heights,\n","]\n","\n","print(tabulate(table))"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"ErC8PW5AS16m"},"source":["### **Task #6: Extend your pattern** \n","\n","* Copy-and-paste all of the code that you wrote above in Task #5 into the code cell below.\n","* Modify the code to run for 20 days."]},{"cell_type":"code","metadata":{"id":"unStJCmJBGQA"},"source":["# Copy-and-paste your code into this code cell here.\n"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"QqFo9eeCv5F3"},"source":["### **Task #7: Analyze your table**\n","\n","* Edit the text cell below to finish the sentences.\n"]},{"cell_type":"markdown","metadata":{"id":"iPdYPjUzTWLx"},"source":["*Finish the sentence below*\n","\n","* The plant was _______ tall when purchased (at the start) and grows ________ each day.\n","\n","*Use the table to determine which day the plant reaches 10 inches in height.*\n","\n","* The plant was 10 inches tall on day ___.\n","\n"]},{"cell_type":"markdown","metadata":{"id":"sy3C0wDaE4r9"},"source":["### **Task #8: Model with an equation** \n","\n","* For the plant growth modeled by this code above, edit the text cell below to write an equation that models this situation. For your equation:\n","     * Let `x` represent the number of days\n","     * Let `y` represent the height of the plant in inches."]},{"cell_type":"markdown","metadata":{"id":"MelTlm6TWGKk"},"source":["The equation is: "]},{"cell_type":"markdown","metadata":{"id":"osc1G5Mn38_w"},"source":["### **Task #9: Analyze the code**\n","\n","The code below (written as a text cell) has line numbers displayed. Use these line numbers to answer the questions in the text cell that follows."]},{"cell_type":"markdown","metadata":{"id":"CEAruLrSZATJ"},"source":["```python\n","1   days = list(range(21))\n","2   heights = [2]\n","3   growth = 0.5\n","4   \n","5   for day in days[1:]:\n","6     heights.append(heights[-1]+growth)\n","7\n","8   from tabulate import tabulate\n","9   table = [\n","10           [\"Days\"]+days,\n","11           [\"Height (inches)\"]+heights,\n","12  ]\n","13  \n","14  print(tabulate(table))\n","```"]},{"cell_type":"markdown","metadata":{"id":"A-x47xzqU_HW"},"source":["**Questions**:\n","* Which line would you change if you want the plant to start at 10 inches?\n","     * Line ____\n","* Which line of code is repeated over and over to add one day of growth to the heights?\n","     * Line ____\n","* Which line would you change if you wanted to run the code for 100 days?\n","     * Line ____"]},{"cell_type":"markdown","metadata":{"id":"5AnTYrxyM2It"},"source":["### **Task #10: Label the plot** \n","The code below creates a plot of the plant growth. Your job is to make the plot \"well-labeled\".\n","\n","* The x-axis should be labeled \"Days\"\n","* The y-axis should be labeled \"Plant Height (inches)\"\n","* The title should be \"Plant Height vs Days\""]},{"cell_type":"code","metadata":{"id":"3l_g20CcXK79"},"source":["days = list(range(21))\n","heights = [2]\n","growth = 0.5\n","\n","for day in days[1:]:\n","  heights.append(heights[-1]+growth)\n","\n","import matplotlib.pyplot as plt\n","plt.scatter(days, heights)\n","plt.xlabel(\"x\")\n","plt.ylabel(\"y\")\n","plt.title(\"y vs x\")\n","plt.grid(True)\n","plt.show()"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"l7z0rM3wGngE"},"source":["# **Final Task: Create your own linear situation.**\n"]},{"cell_type":"markdown","metadata":{"id":"QYFDdnAWYgbt"},"source":["## Edit each cell below."]},{"cell_type":"markdown","metadata":{"id":"ldRBR0vXXu5z"},"source":["Choose anything that grows (or shrinks) at a mostly constant rate. Write a sentence that describes the situation here. Be sure to include the details of \"start\" and \"growth\". Feel free to be creative!\n","\n","My situation: ____\n","\n","\n","                      \n","\n"]},{"cell_type":"markdown","metadata":{"id":"ZwZQ2jb2YMjy"},"source":["An equation that models my situation is:\n","\n","y = "]},{"cell_type":"markdown","metadata":{"id":"B1RDQUcLYQUJ"},"source":["* Copy the code from Task #10 into the cell below. Modify the values and labels to match your situation."]},{"cell_type":"code","metadata":{"id":"tLnYbcqJXuRX"},"source":["# Copy your code here\n"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"O5DqxqcHYmbl"},"source":["**Done! Read through your project (beginning from the top) one more time. If it is complete, submit it in Google Classroom!**"]}]}