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Unit 6 Baseball Chapter 8: Systems

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Presentation on theme: "Unit 6 Baseball Chapter 8: Systems"— Presentation transcript:

1 Unit 6 Baseball Chapter 8: Systems
Created © 2007 by Alice Keeler

2 Directions: Have students divide up into 2 teams
Have the batter come up to the board Arrange 3 chairs like a baseball diamond in the room where the board is home plate. Each chair represents a base Let the batter pick their pitch (1st, 2nd, 3rd base or home run) Have a selection of questions for each type that are easy, medium, hard and difficult. cont

3 Directions: If the student gets the question correct they move to the appropriate base. If students are already on base they must be FORCED from their base, NO STEALING. If a student is on 2nd and a student chooses 1st base then the student on 2nd remains on 2nd. If the student at the board chooses 2nd base then if the student gets the answer correct the 2nd base student will be moved to 3rd base. If the student at the board chose 3rd base then the 2nd base student would be forced home. cont

4 Directions: If the student gets the question WRONG then it is a pop fly and the ball needs to be caught by the other team. The other team will work together to come up with an answer. A pre determined team captain will speak for the group as to what the answer is. If the other team gets it correct then everyone from the first team takes their seat and the other team is up to bat. (there should be a pre determined batting order) Cont…

5 Directions: Keep score. Every time a student makes it back to home plate the team gets a point.

6 Pick a Base 2nd Base 3rd Base 1st Base Home Plate

7 Single Question 1 Question 2 Question 3 Question 4 Question 5
1st Base Question 10 Question 11 Question 12 Question 13

8 1st Base Question 1 Q: What is the solution? (2, 5) A: POP FLY

9 1st Base Question 2 Q: Two trains leave the station at the same time. One is traveling East at 30mph and travels for 5 hours. The other is heading West at 60mph and travels for 2 hours. How far apart are the trains? The trains are 270 miles apart. A: POP FLY

10 1st Base Question 3 Is (3, 4) a solution of the system: Q:
4x + y = 16 and y = 5x – 3 Q: No A: POP FLY

11 1st Base Question 4 Q: Harmout drove 30 miles per hour for 2 hours and 50 miles per hour for 3 hours. How far did Harmout drive? Harmout drove 210 miles in 5 hours. A: POP FLY

12 1st Base Question 5 Q: How far does Sandy drive if she is driving for 5 hours at 20 miles per hour? Sandy drives 100 miles in 5 hours A: POP FLY

13 1st Base Question 6 Q: Mary turned in 40 nickels and dimes into the coin star. If the total value of her coins was $2.70, how many nickels did Mary have? Do not solve, what equations would you use to solve this system of equations? n + d = 40 0.05n d = 2.70 or 5n + 10d = 270 A: POP FLY

14 1st Base Question 7 Q: The sum of two numbers is 13
The difference is 9. Write the system of equations x + y = 13 x – y = 9 A: POP FLY

15 1st Base Question 8 Q: What is the value of x in the solution
y = 5x + 1 and y = -3x - 11 x = -2 A: POP FLY

16 1st Base Question 9 Q: What is the solution for y = 5x and y = 3x + 2
(1, 5) A: POP FLY

17 1st Base Question 10 Q: In a classroom there are 6 more boys than girls. If there are 22 kids in the class, how many boys are there? Write the system of equationsc b = g + 6 b + g = 22 A: POP FLY

18 1st Base Question 11 Q: The perimeter of a rectangle is 18.
The width is 3 more than the length. What is the width and length. Write the system of equations. 2w + 2L = 18 W = L + 3 A: POP FLY

19 1st Base Question 12 Q: The sum of two numbers is 20
The difference of the numbers is 18 Write the system of equations x + y = 20 x – y = 18 A: POP FLY

20 1st Base Question 13 Q: What is the solution of the equations:
x + 3y = 7 -2x – y = -4 (1, 2) A: POP FLY

21 Double Question 1 Question 2 Question 3 Question 4 Question 5 2nd Base

22 (1,3) 2nd Base Question 1 y = 5x – 2 Solve by Graphing Q: y = -2x + 5
POP FLY

23 2nd Base Question 2 Q: What is the solution of the system of equations
4x – y = -3 6x + 5y = 67 (2, 11) A: POP FLY

24 2nd Base Question 3 1600 tickets were sold to the school play. Q:
Adult tickets cost $8 and student tickets cost $6. The school took in $10,440 in ticket sales. How many of each ticket type did they sell? Write a system of equations Q: A + S = 1600 8A + 6S = 10,400 A: POP FLY

25 2nd Base Question 4 Q: Jamar and Lenny leave the school at the same time. Jamar is traveling North at 4mph and Lenny is traveling South at 45mph. How long does it take them to get 98 miles apart? It takes them 2 hours to get 98 miles apart. A: POP FLY

26 2nd Base Question 5 Q: Bubba purchased 8 hamburgers and 2 bags of fries for $28. The next day he purchased 4 hamburgers and 6 bags of fries for $24. How much do the fries cost? $2 A: POP FLY

27 2nd Base Question 6 Q: Laura rides her bike at 6 miles per hour for 3 ½ hours. How far did she ride her bike? Laura rode 21 miles in 3.5 hours A: POP FLY

28 2nd Base Question 7 Q: Samantha rode her bike for 4 hours at 8 miles per hour. Then she swam for an hour at 3 miles per hour. How far did Samantha travel? What is her average speed.? Samantha traveled 35 miles in 5 hours. This is an average speed of 7 miles per hour. A: POP FLY

29 2nd Base Question 8 Q: Mary turned in 40 nickels and dimes into the coin star. If the total value of her coins was $2.70, how many nickels did Mary have? 26 nickels. A: POP FLY

30 2nd Base Question 9 Q: What is the solution of:
y = 3x – 4 and y = -5x + 20 (3, 5) A: POP FLY

31 2nd Base Question 10 Q: Solve the system by substitution: y = -2x + 4
4x + y = 10 (3, -2) A: POP FLY

32 2nd Base Question 11 Q: The sum of two numbers is 26
Their difference is 2 Find the two numbers The numbers are 14 and 12 A: POP FLY

33 2nd Base Question 12 Q: Ryan drove 68 kmph for hours. How far did he drive? Ryan drove 170 miles in 2.5 hours. A: POP FLY

34 2nd Base Question 13 Q: What is the value of x in the system:
y = 2x + 3 and y = 6x – 12 x = 5 A: POP FLY

35 Triple Question 1 Question 2 Question 3 Question 4 Question 5
3rd Base Question 9 Question 10 Question 11 Question 12 Question 13

36 3rd Base Question 1 Solve by Graphing: 2x + 3y = 9 and 4x + y = -7 Q:
(-3, 5) A: POP FLY

37 3rd Base Question 2 Q: Pedro rode his moped at 10mph. 4 hours later Mindy drove her car at 60mph to catch Pedro. How long did it take Mindy to catch Pedro? It took Mindy 4/5 of an hour or 48 minutes. A: POP FLY

38 3rd Base Question 3 Q: Is (-5, -3) a solution of the system
-3x – 7y = 36 and 8x + 3y = -49 Yes A: POP FLY

39 3rd Base Question 4 Q: Mary and Sally leave their friends house at the same time in opposite directions. Mary goes East at 6mph and Sally goes West at 20mph. How long until they are 13 miles apart? It takes them 30 minutes to get 13 miles apart. A: POP FLY

40 3rd Base Question 5 Q: Mary purchases 2 magazines and a candy bar for $3.75. Margo purchases a magazine and 3 candy bars for $3.75. How much is a magazine? $1.50 A: POP FLY

41 3rd Base Question 6 Q: Cheryl had 30 quarters and nickels. If the value of the coins is $7.30, how many quarters and nickels did Cheryl have? Cheryl had 1 nickel and 29 quarters. A: POP FLY

42 3rd Base Question 7 Q: Carrie drove at 30 miles per hour for 3 hours to the airport. The plane flew at 400 miles per hour for 6 hours. What is the average speed that Carrie traveled at? Carrie averaged Miles per hour. A: POP FLY

43 3rd Base Question 8 Q: A plane flew at 300 miles per hour for 30 minutes. How far did the plane fly? The plane flew 150 miles in half an hour. A: POP FLY

44 3rd Base Question 9 Q: What is the solution of 4x – y = -2 and y = 3x
(-2, -6) A: POP FLY

45 3rd Base Question 10 Q: What is the value of y in
y = -2x – 7 and y = 4x + 11 y = -1 A: POP FLY

46 3rd Base Question 11 Q: Larry purchased 10 hotdogs and 6 sodas for $17.50. Harrold purchased 15 hotdogs and 3 sodas for $18.75. How much did each cost? Hot dogs = $0.25 Soda = $2.50 A: POP FLY

47 3rd Base Question 12 Q: Solve by substitution: y = 2x – 7
-5x + 2y = -11 (-3, -13) A: POP FLY

48 3rd Base Question 13 Q: The perimeter of a rectangle is 26. The width is 5 less than the length. Find the length and width. Length = 9 and width = 4 A: POP FLY

49 Home Run Question 1 Question 2 Question 3 Question 4 Question 5
Home Plate Question 13

50 Home Plate Question 1 Solve by Graphing: 2x + 5y = -2 and -2x - y = 10
(-6, 2) A: POP FLY

51 Home Plate Question 2 Q: Two cars leave the baseball stadium right after the game. One car is traveling 90mph going East and the other car is traveling 42mph heading West. How long does it take them to get 44 miles apart? It takes the cars 20 minutes to get 44 miles apart. A: POP FLY

52 Home Plate Question 3 Q: Is (-12, 15) a solution to the system:
4x – 5y = -123 and x – 6y = -102 Yes A: POP FLY

53 Home Plate Question 4 Q: Felipe purchased 8 spark plugs and 6 bottles of oil for $14.92 Manny purchased 6 spark plugs and 4 bottles of oil for $10.56. How much is a bottle of oil? How much is spark plug? Oil: $1.26 Spark Plug” $0.92 A: POP FLY

54 Home Plate Question 5 Q: What is the solution to the system:
6x – 15y = 6 4x – 10y = 4 (-4, -2) A: POP FLY

55 Home Plate Question 6 Q: A hummer drove at 90 miles per hour for 20 minutes. How far did the hummer drive? The hummer drove 30 miles in 20 minutes. A: POP FLY

56 Home Plate Question 7 Q: Josh had a jar of 50 coins (nickels, dimes and quarters) The number of nickels was twice the number of dimes. The value of the coins was $7. How many of each does Josh have? n + d + q = 50 n = 2d .05n + .10d + .25q = $7 20 nickels 10 dimes 30 quarters A: POP FLY

57 Home Plate Question 8 Q: Solve by substitution:
-6x – 4y = 12 -2x + 5y = -85 (8, -15) A: POP FLY

58 Home Plate Question 9 Q: What is the solution of
6x – 2y = -8 and 2x = y (-4, -8) A: POP FLY

59 Home Plate Question 10 Q: In the chess club the number of girls is 8 more than the number of boys. If there are 56 players on the chess team, how many girls are on the team? Girls = 32 A: POP FLY

60 Home Plate Question 11 Q: Ryan left his house driving 30mph. 4 hours later his wife drove after him at 90mph. How long did it take his wife to catch him? It took her 2 hours to catch him. A: POP FLY

61 Home Plate Question 12 Q: In a classroom there are 6 more boys than girls. If there are 22 kids in the class, how many boys are there? There are 14 boys A: POP FLY

62 Home Plate Question 13 Q: What is the value of y in the system:
6x – 2y = 4 and 3y – 9 = 4x y = 7 A: POP FLY

63 Switch Teams Click Here:


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