PERFORMANCE TASK #4 PRE-CALCULUS MODULE 14 Second Quarter - First Semester 1. OBJECTIVES: Solve situational problems involving trigonometric identities (STEM_PC11T-lig2). II. MATERIALS Short bond paper, Calculator, Ballpen III. PROCEDURE Activity 4: How Heavy Should I Be? Directions: Solve the problem below by showing your step-by-step and detailed solution. Write your solutions on a sheet of paper. Study the scoring rubric to be used in assessing your performance. Problem: Tonton's force F (in pounds) on his back when he bends over at an acute angle 0 (in degrees) is given by F = 972w sin(8+90) sin 18 , where W is his weight (in pounds). a. Simplify the formula. b. Find the force on Tonton's back if his weight is 162.35 lbs. if he bends an angle of 35" c. How many pounds should he weigh for his back to endure a force of 255 lbs. if he bends 40"? IV.STANDARDS Rubrics for Scoring the Scrapbook Indicators Poor Fair Good Very Good 1 point 2 point 3 points 4 points Understanding of -Show no -Show a little -Show good -Find all important the Problem understandin understanding understanding parts of the g of the of the problem of the problem problem problem -Fully understand the problem Process and -Demonstrate -Demonstrate a -Demonstrate a -Demonstrate a Strategies little or no limited general clear knowledge knowledge or knowledge and knowledge and and application of application of application of application of math skills math skills math skills math skills Accuracy (x2) -Inaccurately -Solution has -Solution is -All calculation is solutions some mistakes correct correct -Small mistakes -Correct solution may exist Communication/ -No evident -Has -Explanation Has clear and Explanations explanation explanation but has good use of thoughtful not clear to math language explanation understand -Procedures Procedures are can be followed organized and easy to labelled, easy to understand understand Total /20