Lesson plan

Model a solution to a real-world problem in 2 dimensions using the Pythagorean Theorem

teaches Common Core State Standards CCSS.Math.Content.8.G.B.7 http://corestandards.org/Math/Content/8/G/B/7
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Geometric thinking involves developing, attending to and learning how to work with imagery. The context of geometric images allow for the application of different geometric properties. In this task, students are asked to find the shortest distance from their current location to the river to get water and then to their campsite to put out a small fire. This lesson encourages students to make visual models to plan their possible routes and evaluate each one based on distance. Rather than using a random guess and check strategy, students are encouraged to use their prior work with special right triangles and Pythagorean triples to efficiently determine distances and to use that data to find the shortest distance to travel. Vocabulary: hypotenuse, Pythagorean triple, special right triangles Special Materials: Paper for drawing models: plain paper, dot paper, or graph paper ruler protractor (optional)