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Student __________________________ Period _____ Final Score ___________ Authentic Performance Tasks Task #1 DOK Level: 2- Duration: 1 week Skill/Concept Essential Question(s) Big Idea(s) 1. 8 G 7 How do we solve for the missing side of a right triangle in a real life 1. Use the Pythagorean theorem a2 + b2 = c2, where a and b are the legs and c is situation or on the coordinate grid? the hypotenuse to determine the length of the unknown side of a right triangle. Skills Concepts Pythagorean Theorem; the distance between two points in a coordinate system. APPLY, FIND Standards Priority: 8G8 Supporting 8 EE 2 Full Description of Task #1 The Monster Truck Company has requested 3 possible ramp designs to be submitted. They have provided the coordinate points of the starting point of the truck and the launch height and want to know the length of the incline ramp. (Handouts for Student A, B and C) • Each student will receive their handout with coordinate pairs for the starting point of the truck and the launch height. • Using graph paper, each student will plot their assigned points on the coordinate plane and draw the ground distance (in feet) from the truck to the launch and the height (in feet) to launch to create a right angle. • Each student will then determine the length of the lines they have drawn (which are the legs of their triangle). • Using the Pythagorean Theorem, each student will calculate the length of the incline ramp for their given dimensions. Scoring Guide Task 1 Advanced Meets all of the "Proficient" criteria plus: Using the distance calculated for the incline ramp and the launch height, verify the accuracy of the ground distance from the truck to the launch. Proficient Correctly draw and label the ground distance from the truck to launch and the height to launch. Progressing Meets 2 of the "Proficient" criteria Beginning Meets fewer than 2 of the "Proficient" criteria Correctly identify the length of the ground distance and the height to launch for their given coordinates Use the Pythagorean Theorem to determine the length of the incline ramp (showing all work) Created by Hemet USD Student __________________________ Period _____ Final Score ___________ Created by Hemet USD