G-SRT.C.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. G-SRT.B.4: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. IMPACT SAMR Cover Sheet Task OverviewLearning Objective(s)Suggested Technology Create a video on examples of how Pythagorean theorem is used to solve real-world problems. The students will create a video and provide peer feedback on the video to demonstrate understanding of right triangles and Pythagorean theorem. iPads iMovie Blackboard Students chat with each other using the Stoodle website to discuss and determine the best method to solve problems using Pythagorean theorem. The students will collaborate to identify parts of a right triangle and solve real-life word problems. Stoodle: Blackboard assignment manager Use a math app to prove the Pythagorean Theorem Model and visualize right triangles and apply graph on coordinate to better understand Pythagorean theorem and its converse iPad Geogebra app Blackboard Use the online textbook to watch and complete a Solve It! Problem. Prove theorems about right triangles and apply Pythagorean theorem to solve problems On-line text at pearsonrealize.com Louisiana Math Standard (include description): Teacher: Becky Spano MODIFICATION Technology allows for significant task redesign.. REDEFINITION Technology allows for the creation of new tasks that were previously not conceivable. AUGMENTATION Technology acts as a direct tool for substitution with some functional improvement. SUBSTITUTION Technology acts as a direct tool for substitution with no real change. transformation enhancement

WHAT IS THE PYTHAGOREAN THEOREM? 1.Log in to pearsonrealize.com with student login previously given. 2.Watch “Virtual nerd from chapter 8. 3.Discuss with the class –how do you know if a triangle is a right triangle? How can you find the third side of a right triangle if you are given 2 sides. 4.Answer the above questions in your math journal. This task uses: On-line text at pearsonrealize.com Learning Objective(s): Prove theorems about right triangles and apply Pythagorean theorem to solve problems S SUBSTITUTION Technology acts a direct substitute, with no functional improvement Use the online textbook to watch and complete a Solve It! Problem.

1.Open a new board in the GeoGebra app on your iPad.. 2.Search Pythagorean theorem and choose Task 3 by kdfedor 3.Complete steps one through six and make observations and notes on changes in each step. 4.Compare the two large squares formed. Write your observations in your math journal. 5.Compare your findings with those in your group.. How are your conclusions similar/ How are they different? iPad Geogebra app Blackboard Learning Objective(s): Model and visualize right triangles and apply graph on coordinate to better understand Pythagorean theorem and its converse A AUGMENTATION Technology acts as a direct tool for substitution with some functional improvement. PYTHAGOREAN THEOREM PROOF Use a math app to prove the Pythagorean Theorem

Let’s collaborate Students chat with each other using the Stoodle website to discuss and determine the best method to solve problems using Pythagorean theorem. 1.Scan your QR code to enter your group’s whiteboard. 2.Enter your nickname. 3.Using the chat feature, determine who will write in which color. (Everyone is to use a different color.) Also determine the order in which each member will work the problem. 4.Complete the worksheet of Pythagorean theorem word problems. Each student in the group take a turn to work a subsequent step in the problem. 5.Once each problem is completed, student 1 takes a screen shot of the completed problem, then clears the whiteboard. 6.Once all problems are completed, student 1 submits the groups work to Blackboard.. This task uses: Stoodle: Blackboard assignment manager Learning Objective(s): The students will collaborate to identify parts of a right triangle and solve real-life word problems. M MODIFICATION Technology allows for significant task redesign.

Pythagorean Theorem Video 1.Use an iMovie on an iPad to record a short segment pertaining to a real- world right triangle found on campus. This segment can be a documentary or a music video to help explain how Pythagorean theorem can be applied in each case. Save the video by sending it to the iPad camera roll. 2.Open Safari and go to our Blackboard site and load your video in the discussion board. 3.Once all videos have been uploaded, view and comment on 2 other videos and provide a star rating for each of them. Create a video on examples of how Pythagorean theorem is used to solve real-world problems. This task uses: iPads iMovie Blackboard Learning Objective(s): The students will create a video and provide peer feedback on the video to demonstrate understanding of right triangles and Pythagorean theorem. R REDEFINITION Technology allows for the creation of new tasks that were previously not conceivable.