What I Can Do Solve the problem accurately. You are about to fence a rectangular area along the road. The cost of the fencing material on the road is r pesos per yard, on the other sides s pesos per yard. What is the largest area that can be fenced off for p pesos? RUBRICS: 5 3 2 CRITERIA EXEMPLARY ACCOMPLISHED DEVELOPING The student showed Student showed an The student cannot an advance average knowledge able to solve problem CONCEPTS knowledge on the on the application of accurately. and application of the the concepts in Student showed a APPLICATION concept of EVT in solving the problem poor grasp in solving solving the problem and was able to follow the problem. and applied the steps the steps of solving a in solving the problem. problem perfectly. The student was able The student was able The student has no to solve the problem to solve the problem accurate or precise accurately in all steps but not able to solution to the ACCURACY of solving a problem express the standard | problem. and able to write the form of terms in the standard form of solution. expression of terms in the answer.Assessment Choose the letter that corresponds to the correct answer. 1. What are the two positive numbers whose sum is 400 and whose product is maximum? A. 200 & 200 C. 300 & 300 B. 250 & 250 D. 400 & 400 2. What are the two positive numbers whose product is 800 and for which the sum of one and 20 times the other is minimum. A. 100V2 & VZ C. 300V2 & VZ B. 200V2 & V2 D. 400V2 & V2 13 City of Good Character DISCIPLINE . GOOD TASTE . EXCELLENCE For items 3 to 4. Let x and y be two positive numbers such that x + 2y = 60 and (x + 1)(y +2) is the maximum. 3. What is the larger number? A. B. C. 52 D. 4. What is the smaller number? A. 57 B.S c. S D. 5. You have 72 m2 of material to build a box with a square base and without the top. What are the dimensions of the box that will maximize the enclosed volume? A. 1 & w= 2.8989; m & h = 2.449m B. 1 & w= 3.8989; m & h = 2.449m C. 1 & w = 4.8989; m & h = 2.449 m D. 1 & w = 5.8989; m & h = 2.449 m Additional Activities Solve the following problems. 1. A three-sided fence is to be built along the bank of the river, which is the fourth side of the rectangular field along the side of the river. If the enclosed area is 1 500 m , what is the minimum perimeter and the dimensions of the enclosed area? 2. You want to construct a cylindrical can with a bottom and an open top that will have a volume of 49 cm . What are the dimensions of the can that will minimize the amount of material needed to construct the can