STEAM 8/10/2015 Page 1 Math: What new math learning can I now apply to a situation to measure, model, or calculate? Caution: simple math applied to new situations does not demonstrate your new math learning. Check Total Points Math Rubric 1 1. Students include a claim that answers the question (What new math learning can I now apply to a situation to solve problems, reason, and/or model?). State both the math learning and the situation in which your example displays the application of your claim. Caution: simple math applied to new situations does not demonstrate your new math learning. 1 2. Students describe what they created for evidence, and state the mathematical processes or algorithms they applied to the task they have uploaded. 1 3. Students explain how the learning was different. Give an example of what mathematical processes or algorithms you have used before and state how this new math learning is different from the example you have just given. 1 4. Students explain how the math learning was more complex or advanced. Give specific details of the problem solving process, reasoning, and/or modeling that made the process more complex or advanced than the math that you have done in previous semesters. List a minimum of 3 specific details. 1 5. Students explain how the evidence supports their claim that they have applied new math learning to the task that they specified in the claim. 1 6. Students demonstrate a full understanding of the processes that they applied to the task by taking the readers, step by step, through the processes that were applied to the math task. (three sentence minimum) These must relate to the claim. 1 7. Students use reasoning to tell how the math skill can be used in their lives now. 1 8. Students use reasoning to tell how the math skill might be used in the future, such as in a career. You cannot use a math teacher as a career. Math is present in all careers. 1 9. Every sentence begins with a capital letter and uses standard punctuation. All proper nouns are capitalized. The personal pronoun I is always capitalized. 1 10. There are no more than three basic errors in the paragraph. The paper is written in complete sentences that use correct spelling, punctuation, grammar usage, and capitalization. 1 11. Paragraph document is uploaded and typed in 11 or 12 point Calibri, Arial, or Times New Roman. 1 12. First and last name is in the upper left hand corner. 1 13. Project is uploaded and serves as evidence of the claim. 13 You must achieve a score of 100% on this paragraph. After you get 100% on your paragraph, you must upload it as a Google Document to Turnitin. STEAM 8/10/2015 Page 2 Math Paragraph Prompts and Sentence Template These sentence prompts are provided to help you express your thoughts if you get stuck. The numbers coincide with the rubric item numbers. 1. I have learned how to solve problems that ______ (name each mathematical process or algorithm that you learned and applied). I have used this new knowledge to direct my reasoning as I _____ (state what problem you solved). 2. The evidence that I uploaded is _____. (Describe the evidence. What mathematical content and practices did you use?) 3. What I can now do is different because in the past I __________ (Discuss what math you were able to apply in the past as you solved a problem.) With this new learning, I was able to __________. (State what you can do now with the mathematical process or algorithm that you had not done before.) 4. This is more complex or advanced because instead of just being able to___________________, as I did in the past, I had to__________________ (use details of the problem solving, reasoning, and/or modeling in the process that made it more complex or advanced than the math that you have done in previous semesters.) 5. This evidence supports my claim that I can solve problems that _____ (Describe the mathematical process or algorithm) and use my new knowledge to determine _____ (Describe the reasoning that you used.) 6. I completed the task by _____. (Take the readers step-by-step through the mathematical processes and reasoning needed to complete the task.) 7. I can now use this mathematical understanding to _______ (Explain how you would use the selected math process in your daily life or in one of your classes.) 8. In a future career I might be able to use this mathematical understanding to _____ (Explain what someone might use this to accomplish on a job.) Example: I have learned how to solve problems that calculate the surface of a sphere. I have used reasoning to compare the area of the moon with the area of dry land on earth to find out which one had more dry land, the earth or the moon. The evidence that I uploaded is my calculations to determine the surface area of the moon and my calculations to determine the dry land on earth. I then compared the two. What I can now do is different because in the past I could calculate the surface area of a sphere, but I had never used it to compare anything like the percentage of dry land on the earth and the moon. This is more complex (complicated/in-depth) because instead of just being able to calculate the surface of a sphere as I did in the past, I had to reason which numbers to use to get the correct answer for the area of the moon. I had to reason to use the correct numbers to get the area of dry land on the earth. Next, I had to compare the two to know which had the most dry land. This evidence supports my claim that I can solve problems that calculate the surface of a sphere and use reasoning to determine whether the earth or the moon had more dry land. This is how I figured it out. Since the area of the Earth covered in water is 71%, then the area not covered by water is 29%. So the area of the earth not covered in water is 0.29 (510,000,000), which is about 148,000,000 square km. The radius of the moon is about 1,738 km and the surface area is 4 x pi x the radius squared, which is about 38,000,000 square km. The earth’s dry land of 148,000,000 is greater than the moon’s dry land of 3,800,000. I can now use this mathematical understanding to compare the areas of the land irrigated by our pivots. In a future career I might be able to use this mathematical understanding to compare the areas of incoming asteroids.