# Trig area and length assignment worksheet

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Nylffn1997

Mathematics

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Assignment: Area and Length (30 points) Total Score: Student Name: High Grades (5 points each) High scoring students will do the following: Write a problem for finding the area of a triangle using several different formulas, including Hero’s formula. Score: Comments: Write a problem for finding the arc length of an arc given the measure of the corresponding central angle and the radius of the circle. Score: Comments: Write a problem for finding the area of a sector given the measure of the corresponding central angle and the radius of the circle. The student correctly writes a problem that uses one of the listed formulas, including all information needed to solve the problem. Middle Grades (3-4 points each) Middle scoring students will do the following: The student correctly writes a problem that uses one of the listed formulas but only writes some of the given values for side lengths and/or angle measures. Low Grades (1-2 points each) Low scoring students will do the following: Unacceptable (0 points each) The student correctly writes a problem that uses one of the listed formulas but does not write the given values for side lengths and/or angle measures. The student does not write a problem that uses one of the listed formulas. The student correctly writes a problem to find the arc length, including all information needed to solve the problem. The student correctly writes a problem to find the arc length but only writes some of the given values for central angle and radius. The student correctly writes a problem to find the arc length but does not write the given values for central angle and radius. The student does not write a problem to find the arc length. The student correctly writes a problem to find the area of a sector, including all information needed to solve the problem. The student correctly writes a problem to find the area of a sector but only writes some of the given values for central angle and radius. The student correctly writes a problem to find the area of a sector but does not write the given values for central angle and radius. The student does not write a problem to find the area of a sector. © K12 Inc. Score: Comments: Write a solution for finding the area of a triangle using several different formulas, including Hero’s formula. The student correctly writes a solution to the problem he or she wrote, showing all steps needed to solve the problem. The student writes a sentence that describes the answer based on the original problem. The student correctly writes a solution to the problem he or she wrote, showing all steps needed to solve the problem. The student does not write a sentence that describes the answer based on the original problem. The student writes a solution to the problem he or she wrote, showing all steps needed to solve the problem. There are some mistakes in the steps that show the solution. The student does not write a sentence that describes the answer based on the original problem. The student does not write a solution to the problem he or she wrote The student correctly writes a solution to the problem he or she wrote, showing all steps needed to solve the problem. The student writes a sentence that describes the answer based on the original problem. The student correctly writes a solution to the problem he or she wrote, showing all steps needed to solve the problem. The student does not write a sentence that describes the answer based on the original problem. The student writes a solution to the problem he or she wrote, showing all steps needed to solve the problem. There are some mistakes in the steps that show the solution. The student does not write a sentence that describes the answer based on the original problem. The student does not write a solution to the problem he or she wrote The student correctly writes a solution to the problem he or she wrote, showing all steps needed to solve the problem. The student writes a sentence that describes the answer based on the original problem. The student correctly writes a solution to the problem he or she wrote, showing all steps needed to solve the problem. The student does not write a sentence that describes the answer based on the original problem. The student writes a solution to the problem he or she wrote, showing all steps needed to solve the problem. There are some mistakes in the steps that show the solution. The student does not write a sentence that describes the answer based on the original problem. The student does not write a solution to the problem he or she wrote Score: Comments: Write a solution for finding the arc length of an arc given the measure of the corresponding central angle and the radius of the circle. Score: Comments: Write a solution for finding the area of a sector given the measure of the corresponding central angle and the radius of the circle. © K12 Inc. Score: Comments: © K12 Inc. Assignment: Area and Length Suppose you and a friend are studying for an exam about the topics in this section. The two of you decide to create a practice guide on how to solve these types of problems. Write a practice guide by writing one problem for each of these three topics:  Find the area of a triangle using one of the following formulas: 1 bc sin A 2 1 K = ab sin C 2 K= K= 1 ac sin B 2 K= 1 2 sin B sin C a 2 sin A 1 2 sin A sin C b 2 sin B 1 2 sin A sin B K= c 2 sin C K= Hero’s Formula: K =   s ( s − a )( s − b )( s − c ) Find the arc length of an arc given the measure of the corresponding central angle and the radius of the circle. Find the area of a sector given the measure of the corresponding central angle and the radius of the circle. Write a problem for each topic, including all information needed to solve the problem. Then write the solution to the problem, showing all the steps needed to find the solution. Include a sentence that describes the solution based on the original problem. © K12 Inc. © K12 Inc.
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