The Pythagorean Theorem Portfolio Use the worksheet to record your answers to the four activities that make up the Pythagorean Theorem Portfolio. When you are finished, save the worksheet with your answers and submit it for a portfolio grade. Finding the Area of a Field Farmers need to know the area of their land in order to plan for growing their crops. Farmers measure the size of their fields in acres. One acre is equal to 4,840 square yards. In the diagram on the worksheet, each of the squares in the grid represents one acre. Count the number of acres inside Fields A and B to find their measure, and then use that information to find the size of Field C. Count the number of squares inside Field A. This is the area of Field A in acres. Write it on your worksheet. Count the number of squares inside Field B. This is the area of Field B in acres. Write it on your worksheet. Use the Pythagorean Theorem to find the area of Field C in acres. Finding the Area of a Garden You can use the Pythagorean Theorem to find the area of a square when you know its end points. A square garden has the end points listed below. Plot and label these points on the grid: A (−7, 6)B (−2, −6)C (10, −1)D (5, 11) Connect the points to create Square ABCD . Use the Pythagorean Theorem to find the side length, s , of Square ABCD . Use the area formula, A = s2 , to find the area of Square ABCD . Screen Size Computer screens and television screens are usually measured by the diagonal of the screen. For example, a screen of size 60 inches would have a diagonal of 60 inches, a width of 52 inches, and a height of 30 inches. Yoselin would like to install a new screen on a shelf that is 17 inches tall and 50 inches wide. She would like the screen to be the largest size that will fit on the shelf. She knows the diagonal and width of the four screens listed below. Screen Diagonal Width Height A 15" 13" B 22" 19" C 32" 28" D 40" 35" Use the Pythagorean Theorem to calculate the height of each screen. Which screen is the largest that will fit on Yoselin’s shelf? Building a Ramp Emaniee would like to build a ramp for her dog over some stairs. Compute the distance between points B and C and enter it on your worksheet. Compute the distance between points A and B and enter it on your worksheet. Compute the distance between points D and B and enter it on your worksheet. Use the Pythagorean Theorem to compute the distance between points D and C . How long does Emaniee’s ramp need to be? The Pythagorean Theorem Portfolio Worksheet Pythagorean Theorem Portfolio Rubric Journal Prompt Many careers require the 21st century skill of managing projects, including jobs in the art field. Triangles are not only practical and common—they can be beautiful! Conduct an online search to identify artists who have used triangles as features in their art. In your journal, describe one of the works of art you found in your search. View the shapes and colors of the work of art. Describe the image with as many adjectives as you can. Attempt to recreate a sketch of the work in your journal. It is ok if yours looks different! Identify the mood of the work of art. What feeling do the triangles elicit in the viewer? View Learning Coach Guide
