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Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler [email protected]

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Page 1: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Unit 6 BaseballChapter 8: Systems

Created © 2007 by Alice Keeler [email protected]

Page 2: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

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

Page 3: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

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

Page 4: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

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…

Page 5: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Directions:

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

Page 6: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Pick a Base

1st Base

2nd Base

3rd Base

Home

Plate

Page 7: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Single

1st Base

Question 1Question 2Question 3Question 4Question 5Question 6Question 7Question 8Question 9Question 10Question 11Question 12Question 13

Page 8: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 1

Q:

A:

POP FLY

What is the solution?

(2, 5)

Page 9: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 2

Q:

A:

POP FLY

Two trains leave the station at the same time. One is traveling East at 30mph and travels for 5 hours. The other isheading West at 60mph and travels for 2 hours. How far apartare the trains?

The trains are 270 miles apart.

Page 10: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 3

Q:

A:

POP FLY

Is (3, 4) a solution of the system:4x + y = 16 and y = 5x – 3

No

Page 11: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 4

Q:

A:

POP FLY

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.

Page 12: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 5

Q:

A:

POP FLY

How far does Sandy drive if she is driving for 5 hours at 20 miles per hour?

Sandy drives 100 miles in 5 hours

Page 13: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 6

Q:

A:

POP FLY

Mary turned in 40 nickels and dimes into the coin star.If the total value of her coins was $2.70, how many nickelsdid Mary have?

Do not solve, what equations would you use to solve this systemof equations?

n + d = 400.05n + 0.10d = 2.70 or 5n + 10d = 270

Page 14: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 7

Q:

A:

POP FLY

The sum of two numbers is 13The difference is 9.

Write the system of equations

x + y = 13x – y = 9

Page 15: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 8

Q:

A:

POP FLY

What is the value of x in the solutiony = 5x + 1 and y = -3x - 11

x = -2

Page 16: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 9

Q:

A:

POP FLY

What is the solution fory = 5x and y = 3x + 2

(1, 5)

Page 17: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 10

Q:

A:

POP FLY

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 + 6b + g = 22

Page 18: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 11

Q:

A:

POP FLY

The perimeter of a rectangle is 18.The width is 3 more than the length. What is the widthand length.

Write the system of equations.

2w + 2L = 18W = L + 3

Page 19: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 12

Q:

A:

POP FLY

The sum of two numbers is 20The difference of the numbers is 18

Write the system of equations

x + y = 20x – y = 18

Page 20: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

1st Base Question 13

Q:

A:

POP FLY

What is the solution of the equations:x + 3y = 7-2x – y = -4

(1, 2)

Page 21: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Double

Question 1Question 2Question 3Question 4Question 5Question 6Question 7Question 8Question 9Question 10Question 11Question 12Question 13

2nd Base

Page 22: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 1

Q:

A:

POP FLY

Solve by Graphing y = 5x – 2y = -2x + 5

(1,3)

Page 23: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 2

Q:

A:

POP FLY

What is the solution of the system of equations4x – y = -3 6x + 5y = 67

(2, 11)

Page 24: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 3

Q:

A:

POP FLY

1600 tickets were sold to the school play.Adult tickets cost $8 and student tickets cost $6.The school took in $10,440 in ticket sales. How manyof each ticket type did they sell?

Write a system of equations

A + S = 16008A + 6S = 10,400

Page 25: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 4

Q:

A:

POP FLY

Jamar and Lenny leave the school at the same time.Jamar is traveling North at 4mph and Lenny is travelingSouth at 45mph. How long does it take them to get 98 milesapart?

It takes them 2 hours to get 98 miles apart.

Page 26: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 5

Q:

A:

POP FLY

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

Page 27: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 6

Q:

A:

POP FLY

Laura rides her bike at 6 miles per hour for 3 ½ hours. How fardid she ride her bike?

Laura rode 21 miles in 3.5 hours

Page 28: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 7

Q:

A:

POP FLY

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 didSamantha travel? What is her average speed.?

Samantha traveled 35 miles in 5 hours. This is an average speed of 7 miles per hour.

Page 29: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 8

Q:

A:

POP FLY

Mary turned in 40 nickels and dimes into the coin star.If the total value of her coins was $2.70, how many nickelsdid Mary have?

26 nickels.

Page 30: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 9

Q:

A:

POP FLY

What is the solution of:y = 3x – 4 and y = -5x + 20

(3, 5)

Page 31: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 10

Q:

A:

POP FLY

Solve the system by substitution:y = -2x + 4 4x + y = 10

(3, -2)

Page 32: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 11

Q:

A:

POP FLY

The sum of two numbers is 26Their difference is 2

Find the two numbers

The numbers are 14 and 12

Page 33: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 12

Q:

A:

POP FLY

Ryan drove 68 kmph for hours. How far did he drive?122

Ryan drove 170 miles in 2.5 hours.

Page 34: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

2nd Base Question 13

Q:

A:

POP FLY

What is the value of x in the system:y = 2x + 3 and y = 6x – 12

x = 5

Page 35: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Triple

Question 1Question 2Question 3Question 4Question 5Question 6Question 7Question 8Question 9Question 10Question 11Question 12Question 13

3rd Base

Page 36: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 1

Q:

A:

POP FLY

Solve by Graphing: 2x + 3y = 9 and 4x + y = -7

(-3, 5)

Page 37: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 2

Q:

A:

POP FLY

Pedro rode his moped at 10mph. 4 hours later Mindydrove her car at 60mph to catch Pedro. How long did it takeMindy to catch Pedro?

It took Mindy 4/5 of an hour or 48 minutes.

Page 38: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 3

Q:

A:

POP FLY

Is (-5, -3) a solution of the system-3x – 7y = 36 and 8x + 3y = -49

Yes

Page 39: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 4

Q:

A:

POP FLY

Mary and Sally leave their friends house at the same timein 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.

Page 40: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 5

Q:

A:

POP FLY

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

Page 41: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 6

Q:

A:

POP FLY

Cheryl had 30 quarters and nickels. If the valueof the coins is $7.30, how many quarters and nickelsdid Cheryl have?

Cheryl had 1 nickel and 29 quarters.

Page 42: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 7

Q:

A:

POP FLY

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?

830

3Carrie averaged Miles per hour.

Page 43: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 8

Q:

A:

POP FLY

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.

Page 44: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 9

Q:

A:

POP FLY

What is the solution of 4x – y = -2 and y = 3x

(-2, -6)

Page 45: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 10

Q:

A:

POP FLY

What is the value of y in y = -2x – 7 and y = 4x + 11

y = -1

Page 46: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 11

Q:

A:

POP FLY

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 = $0.25Soda = $2.50

Page 47: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 12

Q:

A:

POP FLY

Solve by substitution:y = 2x – 7 -5x + 2y = -11

(-3, -13)

Page 48: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

3rd Base Question 13

Q:

A:

POP FLY

The perimeter of a rectangle is 26. The width is 5 lessthan the length. Find the length and width.

Length = 9 and width = 4

Page 49: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Run

Question 1Question 2Question 3Question 4Question 5Question 6Question 7Question 8Question 9Question 10Question 11Question 12Question 13 Hom

e Plate

Page 50: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 1

Q:

A:

POP FLY

Solve by Graphing: 2x + 5y = -2 and -2x - y = 10

(-6, 2)

Page 51: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 2

Q:

A:

POP FLY

Two cars leave the baseball stadium right after the game.One car is traveling 90mph going East and the other car istraveling 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.

Page 52: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 3

Q:

A:

POP FLY

Is (-12, 15) a solution to the system:4x – 5y = -123 and x – 6y = -102

Yes

Page 53: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 4

Q:

A:

POP FLY

Felipe purchased 8 spark plugs and 6 bottles of oil for $14.92Manny 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: $1.26Spark Plug” $0.92

Page 54: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 5

Q:

A:

POP FLY

What is the solution to the system:6x – 15y = 6 4x – 10y = 4

(-4, -2)

Page 55: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 6

Q:

A:

POP FLY

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.

Page 56: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 7

Q:

A:

POP FLY

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 doesJosh have?

n + d + q = 50n = 2d.05n + .10d + .25q = $7

20 nickels10 dimes30 quarters

Page 57: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 8

Q:

A:

POP FLY

Solve by substitution:-6x – 4y = 12-2x + 5y = -85

(8, -15)

Page 58: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 9

Q:

A:

POP FLY

What is the solution of 6x – 2y = -8 and 2x = y

(-4, -8)

Page 59: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 10

Q:

A:

POP FLY

In the chess club the number of girls is 8 morethan the number of boys. If there are 56 players on the chess team, how many girls are on the team?

Girls = 32

Page 60: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 11

Q:

A:

POP FLY

Ryan left his house driving 30mph. 4 hours laterhis wife drove after him at 90mph. How long did it takehis wife to catch him?

It took her 2 hours to catch him.

Page 61: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 12

Q:

A:

POP FLY

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

Page 62: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

Home Plate Question 13

Q:

A:

POP FLY

What is the value of y in the system:6x – 2y = 4 and 3y – 9 = 4x

y = 7

Page 63: Unit 6 Baseball Chapter 8: Systems Created © 2007 by Alice Keeler alicekeeler@clovisusd.k12.ca.usalicekeeler@clovisusd.k12.ca.us

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