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Math Basketball: Geometry Chapter 2 Math Basketball: Rules • When it is a team’s turn, they will send one player up to the board to do a problem. • If you get the question right, you get to shoot from closer. Scoring • One point for a correct answer • One bonus point for a basket • Shoot at the smaller basket to try for a “three pointer” Math Basketball: Rules • I will keep a “Shot Clock” in my head. The person at the board must wait until the shot clock is done before answering the problem. This is so that the people not at the board can try the problems. • If the player at the board receives help from a player on his/her team while at the board, that turn & shot will be forfeited. • Each team gets 3 “Timeouts”. This is when a player is allowed to confer with his/her team before answering the question. • If a team gets a problem wrong the opposing team gets a chance to “steal”. (unless it’s a true/false, obviously) Find the next two members of the pattern • 1, -2, 4, -8, ___, ___ Find the next two members of the pattern 160, 80, 40, 20, ___, ___ Find the next two members of the pattern 1 2 3 , , ,1, __, __ 4 4 4 Find the next two members of the pattern 2, 4, 7, 11, 16, ___, ___ Find the next two members of the pattern , , , _________ , __________ Find the next two members of the pattern _________ , __________ What can you assume from a diagram? • Say whether you can assume the following from the diagram. 1 3 What can you assume from a diagram? • Say whether you can assume the following from the diagram. m1 m2 180 o What can you assume from a diagram? • Say whether you can assume the following from the diagram. m1 90 o What can you assume from a diagram? • Say whether you can assume the following from the diagram. AB CD and don’t intersect. What can you assume from a diagram? • Say whether you can assume the following from the diagram. 3 4 Review: Proofs • Give the missing reason: 1) 2) Review: Proofs • Give the missing reason: 1) 2) Review: Proofs • Give the missing reason: 1) Review: Proofs • Give the missing reason: 1) m1 90 o 2) Review: Proofs • Give the missing statement: 1) 2) Review: Proofs • Give the missing statement: 1) 2) Conditional Statements • Rewrite the statement in if-then form. • Triangles are polygons. Conditional Statements • Write the converse of the statement: • “If it is a triangle, then it is a polygon.” Conditional Statements • Identify both statements as true or false: • “If it is a triangle, then it is a polygon.” • “If it is a polygon, then it is a triangle.” Law of Detachment • Use the Law of Detachment to make a valid conclusion. • If Scott gets at least an 85% on his final, then he will get an A in geometry. Scott gets a 92% on his final. Law of Detachment • Use the Law of Detachment to make a valid conclusion. • If Anne gets to the airport by 2:15, then she will make her flight. Anne gets to the airport at 2:20. Law of Syllogism • Use the Law of Syllogism to write another conditional statement. • If Chris buys a lottery ticket, then he will win the lottery. If he wins the lottery, then he will buy a mansion. Law of Syllogism • Use the Law of Syllogism to write another conditional statement. • If x + 4 = 10, then x = 6. If x = 6, then x + 5 = 11. Find all 4 angle measures. 105o Find all 4 angle measures. 11xo (y+35)o 2yo (3x+80)o Solve for x. Give a reason for each step. 8x – 4 = 2x + 20 Solve for x. Give a reason for each step. 3x + 5 = -2x + 25