Pythagorean Theorem. Student Choice Drawing Project with Rubric

Transcription

1 Pythagorean Theorem Student Choice Drawing Project with Rubric

2 Thank you for downloading this product! Your students will love creating pieces of artwork to model Pythagorean Theorem real world problems. You will need to copy pages 3-4 (front and back) for your students. Then, your students should follow these steps: 1) Choose a scenario. 2) Solve the problem using the Pythagorean Theorem. 3) Explain (in paragraph form) how they set up and solved the problem. 4) Finally, it s time to get creative! The last step is to draw and color a model for the scenario! The drawing should include appropriate labels/measurements, should be neat, colorful, and ready to be displayed in the classroom! I usually give this assignment to my students at the end of a class period, telling them that tomorrow, we will use the whole class period to work on our project. Don t forget to tell them to bring coloring supplies!

3 Due Date: Directions: Choose one of the following scenarios. Solve and write a full explanation for your answer. Finally, use a separate sheet of paper to draw and color a model for your solution. Use the rubric as a guide. Your drawings will be displayed in the classroom, so do your best! Scenario 1: You and your friend enjoy riding your bicycles. Today is a beautiful sunny day, so the two of you are taking a long ride out in the country side. Leaving your home in Sunshine, you ride 6 miles due west to the town of Happyville, where you turn south and ride 8 miles to the town of Crimson. When the sun begins to go down, you decide that it is time to start for home. There is a road that goes directly from Crimson back to Sunshine. If you want to take the shortest route home, do you take this new road, or do you go back the way you came? Justify your decision. How much further would the longer route be than the shorter route? Assume all roads are straight. Scenario 2: A newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft. above the ground, and then anchored to the ground 4 ft. from the base of the tree. How much wire is needed for 6 trees? Scenario 3: Jill s front door is 42 wide and 84 tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door? Explain using approximations. Name: Scenario: Explanation Model Solution Outstanding (20 points each) Explanation is clear and well developed. Drawing is done with straight edge, is labeled correctly and has Solution is All steps are shown. Proficient (15 points each) Explanation is clear. sketch but is labeled and has Solution is correct, but one or more steps are missing. Needs Improvement (10 points each) Some explanation, but several steps are missing. sketch, is not correctly labeled, but has Solution is nearly Incomplete (5 point each) Little or no explanation is given. Drawing or sketch has no labels and no Solution is partially Teacher Comments: Total points: /60

4 Name: Scenario: 1 2 3

5 Explanation Model Outstanding (20 points each) Explanation is clear and well developed. Drawing is done with straight edge, is labeled correctly and has Proficient (15 points each) Explanation is clear. sketch but is labeled and has Needs Improvement (10 points each) Some explanation, but several steps are missing. sketch, is not correctly labeled, but has Incomplete (5 point each) Little or no explanation is given. Drawing or sketch has no labels and no Solution Solution is All steps are shown. Solution is correct, but one or more steps are missing. Solution is nearly Solution is partially Name: Scenario: Teacher Comments: Total points: /60 Explanation Model Outstanding (20 points each) Explanation is clear and well developed. Drawing is done with straight edge, is labeled correctly and has Proficient (15 points each) Explanation is clear. sketch but is labeled and has Needs Improvement (10 points each) Some explanation, but several steps are missing. sketch, is not correctly labeled, but has Incomplete (5 point each) Little or no explanation is given. Drawing or sketch has no labels and no Solution Solution is All steps are shown. Solution is correct, but one or more steps are missing. Solution is nearly Solution is partially Name: Scenario: Teacher Comments: Total points: /60

6 Answer Key: Scenario 1: = c 2 ; c = 10 ; 10 < (6 + 8) you should take the direct road Scenario 2: = c 2 ; c = 5 ; 3 5 = 15 and 15 6 = 90 you need 90 feet of wire total Scenario 3: = c 2 ; c ; 96 > the table will not fit through the door

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