Page | 4LEARNING ACTIVITIES / EXERCISESA. Find the next term in the following sequences by using a difference table:1. 2, 7, 24, 59, 118, 207, ...2. 5, 14, 27, 44, 65, ...B. Solve the following problems using the 4 steps of George Polya.1. X, Y, Z collect stamps. They exchange stamps among themselves according to the following scheme: X gives Yas many stamps as Y has and Z as many stamps as Z has. After that, Y gives X and Z as many stamps aseach then has, and then Z gives X and Y as many stamps as each has. If each finally has 64 stamps, with howmany stamps does X start?2. Suppose two people, John and Jane are doing the same task. John can finish the task in hours, while Jane canfinish it in 3 hours. How long will it take for both of them if they work together to finish the task.PRACTICE TASK I ASSESSMENTA. Find the next term in the following sequences by using a difference table:1. 1, 14, 51, 124, 245, 426, ...2. 10, 10, 12, 16, 22, 30, ...3. 1, 7, 17, 31, 49, 71, ...B. Solve the following problems.1. How many squares, of all sizes, are in a 8 x 8 chessboard?2. It is now 10:45 am, what time will it be in 143, 999, 999, 995 minutes from now?IESSON 2Doooening TM0E 40.ll 11% 1 3:45 pmLearning Activities / ExercisesDirections: Use deductive reasoning to determine the missing numbers in each magic square. The total number per rowand column is 34 for item 1 and 65 for item 2.1. A magic square of order 4213101161241512. A magic square of order 511738161310| 1823 622215Practice Task / AssessmentA. Tell whether each of the following is an Intuition, an Analogy, and Inductive or Deductive Reasoning.1. By looking at the color of the ripe mangoes, you can already tell the one sweeter than the other.2. The brothers, Jose, Protacio, Mario and Bonifacio love Geometry. The fifth brother, Juan must love Geometryalso.3. Birds are noisy when they are hungry. The birds in the tree are noisy. These birds must be hungry.4. Hat is to head as slippers are to feet.5. Roel drew five different triangles. He got the sum of the measure of the three angles of each triangle. Hediscovered that the sum of the measures of the three angles of any triangle is 180°.6. I will sleep early because I have a feeling that I will have a wonderful dream,7. Patricia's mother is a very good engineer. Patricia will also become a very good engineer.8. In the given, 1 x 9 = 9, 2 x 9 =18, 3 x 9 = 27, 4 x 9 = 36, 5 x 9 = 45. In 18, 1+ 8 = 9, 2 +7 = 9, 3 + 6 = 9, 4 + 5 =9... therefore, the sum of the digits for the product of a natural number and 9 is 9.9. All fruits are nutritious. Apple is a fruit; therefore, it is nutritious.10. I am more alert this aftemoon because I ate a lot of cooked vegetables this morning.B. Each of the four (4) neighbors, Sean, Maria, Sarah, and Brian, has a different occupation (editor, banker,chef, or dentist). From the following clues, determine the occupation of each neighbor.1. Maria gets home from work after the banker but before the dentist.2. Sarah, who is the last to get home from work, is not the editor.3. The dentist and Sarah leave for work at the same time.4. The banker lives next door to Brian.Teacher's Intervention: For questions and clarifications, you can email me at mathematicsrocks24@gmail.com or send amessage on my messenger account https://www.facebook.com/arnel.yurfo.3/.References / Reading MaterialsMathematics in the Modern World, REX Bookstore, Inc., Philippine Edition, 2018.The Language of Mathematics by Carol BurnsThe Language and Grammar of MathematicsPage | 8THE ENDMPS

Name: Page | 4LEARNING ACTIVITIES / EXERCISESA. Find the next term in the f
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Description: Page | 4LEARNING ACTIVITIES / EXERCISESA. Find the next term in the following sequences by using a difference table:1. 2, 7, 24, 59, 118, 207, ...2. 5, 14, 27, 44, 65, ...B. Solve the following problems using the 4 steps of George Polya.1. X, Y, Z c

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A. Find the next term in the following sequences by using a difference table: 1. 2,7, 24, 59, 118, 207, ... 2. 5, 14, 27, 44, 65, ...