Math 8msmillersmath.weebly.com/uploads/2/2/5/1/22514004/math_8... · Web viewSolving Proportion...

$: Math 8msmillersmath.weebly.com/uploads/2/2/5/1/22514004/math_8... · Web viewSolving Proportion Word Problems Class Notes When a rate stays the same: Write given rate as fraction$
Math 8

UNIT 6

Proportionality

Name: ____________________

Teacher: _______________

Period: ________

Proportional vs Non-proportional Relationships in a Table

In order to tell from a table if there is a proportional relationship or not, you can check to see if the ratio is the same

If two quantities are proportional, then they have a constant __________________________.

Find for each value in the table. If you get the same value each time, the table represents a proportional relationship. If you get different values, the table of values is not a proportional relationship.

EX 1. and 2.) Tell if the following tables represent a proportional relationships.

x y

0 2

3 8

5 12

9 20

10 22

x y

5 10

8 16

10 20

14 28

21 42

1

1. 2. Number of Movie Tickets (x)

Total Cost of Tickets (y)

1 62 123 184 24

Proportional Non-proportional Proportional Non-proportional

3. 4.Number of Hours Painting (x)

Total Cost (y)

10 12020 22030 32040 420

Proportional Non-proportional Proportional Non-proportional

Number of Dance Tickets (x)

Total Cost of Tickets (y)

1 32 63 94 12

Number of Hours (x)

Total Distance (y)

1 602 1204 2406 360

In order to tell if a graph is proportional the line must go through the origin.EX 3. and 4.) Tell if the following graphs represent a proportional relationships.

Example 3 : Proportional/Non –Proportional? Why?

Example 4 : Proportional/Non –Proportional? Why?

State whether the following graphs represent a proportional relationship and why.

3. Brandon gets paid $7 for each hour he delivers papers on his paper route.

4. Ernie gets paid $5 for each yard he mows plus $4 for gas.

Name: __________________

Proportional and Non-Proportional Relationships

#1-2 Tell whether or not there is a proportional relationship between the x-values and the y-values in the table. Justify your answer with work. If the relationship is proportional, find the Ratio (y/x), write an equation, and generate another pair of numbers.

1. 2.

Proportional?________ Proportional?________

3. Is the relationship proportional between the phone card minutes and the cost in the table? Explain your answer please!

Phone card (minutes) Cost(Dollars)

Ratio(Cost/ min.)

5 $10.0010 $20.00

15 $30.0020 $40.00

4. Determine whether the number of pieces of gum is proportional to the number of bags. Explain your reasoning.

X Y Y/X

4 15

8 23

12 34

16 50

x y y/x2 34 66 88 1010 12

x y y/x1 23 65 106 128 16

y

x

#5-6 Determine if the table show a proportional relationship? Explain your answer please!

7. Each restaurant has posted a different menu. Which menu shows a charge that is proportional? Explain your answer please!

#8-9 Graph the ordered pairs from the tables.

8. 10.

Does the graph show a proportional relationship between the x and y values?

9.

Shaded Blocks(x)

1 2 3 10 100

Total Blocks(y)

5 10 15 50 500

y/x

Shaded Blocks (x) 1 3 5 9 11

Total Blocks(y) 5 15 20 40 55

y/x

Mims’ Burgers# of Burgers Cost

3 96 188 2410 30

Robinson’s Ribs# of Ribs Cost

1 142 243 344 44

Pollock’s Steaks# of Steaks Cost

2 2.004 4.506 6.008 8.50

x y1 23 65 107 149 18

x y2 44 66 88 1010 12

y

x

A. B.

Does the graph show a proportional relationship between the x and y values?

Proportional and Non-proportional Comparison HomeworkFor problems 1 to 4:

Indicate if the situation represents a proportional or non-proportional relationship. Justify your response.

Use the given information to fill in the missing information.

1. Meredith charges $15.00 per hour for babysitting.

Hours

(x)

Process Earnings(y)

Proportional

0

1

2

3

x

Equation: ____________________

Proportional ( Yes/No) ____________

2. Mr. Fix It charges $5 per hour plus an additional $25 service fee.

Hours

(x)

Process Charge(y)

Proportional

Hours Babysitting

0

1

2

3

x

Equation: ____________________


3. Brandon started a savings account with $50. He plans on adding $20 per month.

Months(x)

Process Account balance

(y)

Proportional

Hours of Service

0

1

2

3

x

Equation: ____________________


4. Stephanie can type 30 words per minute.

Min.(x)

Process Words(y)

Proportional

0

1

Months of saving

2

3

x

Equation: ____________________

Proportional ( Yes/No) ____________Minutes typing

60

120

160

240

For problems Determine which relationship in each of the following “Quads” (sets of 4) represents a proportional relationship. Write down its letter (A, B, C, or D) and briefly explain why it is proportional

11. Circle the description that does not represent a proportional relationship. Justify why it is proportional.

A. Mrs. Barry sells 3-packs of miniature muffins for $1.80.B. The Muffin Factory sells 5-packs of miniature muffins for $2.75 and adds 0.50 for packaging.C. The Bread Factory sells 6-packs of miniature muffins for $3.40.D. Mr. Brownie sells 8-packs of miniature muffins for $4.20.

12. Determine whether the number of months is proportional to the number of years. Explain your reasoning.


Number of Years 1 2 3 4Number of Months

12 24 36 48

Number of Bags 4 8 12 16Pieces of Gum 15 23 34 50

9. 10.

Determine Which of the Following relationships are Proportional

1. 2.

3. 4. A. B.

C. D.

Weight of box

Cost to ship

10 lbs $4720 lbs $10230 lbs $14540 lbs $212

Weight of box

Cost to ship

10 lbs $5320 lbs $10530 lbs $15840 lbs $210

Weight of box

Cost to ship

10 lbs $4520 lbs $9530 lbs $14540 lbs $195

Weight of box

Cost to ship

10 lbs $5620 lbs $11230 lbs $16840 lbs $224

5. Circle the description that does not represent a proportional relationship.

A. Mrs. Barry sells 3-packs of miniature muffins for $1.80.B. The Muffin Factory sells 5-packs of miniature muffins for $2.75 and adds 0.50 for packing.C. The Bread Factory sells 6-packs of miniature muffins for $3.40.D. Mr. Brownie sells 8-packs of miniature muffins for $4.20.

6. Determine whether the number of months is proportional to the number of years. Explain your reasoning.


Number of Years

1 2 3 4

Number of Months

12

24

36

48

Number of Bags 4 8 12 16Pieces of Gum 15 23 34 50

Cell Phone Plan Example 1

• Cell Phone Plan A: Plan A plan charges its customers $ 3.00 per minute.

Table: Rule:# of Minutes(x)

Process Charge( y)

y/x( Proportional or Non Proportional)

01234x

Graph:

x

y

Cell Phone Plan Example 2

• Cell Phone Plan B: Plan B plan charges its customers a $10 monthly fee plus $ 1.50 per minute.

Table: Rule:

# of Minutes(x)

Process Charge( y)


01234x

Graph:

x

y

Cell Phone Plan ( Tiger)

• Tiger Phone Plan A: The Tiger plan charges its customers a $15 monthly fee plus $ 1 per minute.

Table: Rule:# of Minutes(x)

Process Charge( y)


01234x

Graph:

x

y

Cell Phone Plan ( Aggie)

• The Aggie Cell Phone Plan: The Aggie plan charges its customers $ 2.50 per

minute.

Table: Rule:

# of Min.(x)

Process Charge( y)


12345x

Graph:

x

y

Cell Phone Plan Questions1. What rule could be used the find the cost of x minutes using the Aggie

Plan?

2. Does this represent a proportional relationship?

3. What would your monthly bill be if you used 10 minutes using the Aggie Plan?



6. What rule could be used the find the cost of x minutes using the Tiger Plan?

7. Does this represent a proportional relationship?

8. What would your monthly bill be if you used 30 minutes using the Tiger Plan?



Name: _____________________ Date: ______

Proportional/Non-Proportional SituationsFor each question:

a: make a tableb: find the constant of proportionality (constant ratio)c: determine if the relationship is proportional or non-proportional.

1. An adult elephant drinks about 225 liters of water each day. Is the number of days that an elephant’s water supply last proportional to the number of liters of water the elephant drinks?

Days 1 2 3 4

Liters

2. A package shipping company charges $5.25 to deliver a package. In addition, they charge $0.45 for each pound. Is the cost to ship a package proportional to the weight of the package?

Pounds 1

Cost

3. Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing?

# of hours

Cost

4. The Vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel. Is the number of hours you can rent the boat proportional to the total cost?

Hours

Cost

5. An elevator ascends or goes up at a rate of 750 feet per minute. Is the height to which the elevator ascends proportional to the number of minutes it takes to get there?

Minutes

Height

6. Kudzu is a vine that grows an average of 7.5 feet every 5 days. Is the number of days of growth proportional to the length of the vine as measured on the last day?

Days 5 10

Length

7. To convert a temperature in degrees Celsius to degrees Fahrenheit, multiply the Celsius temperature by 9/5 and then add 32 degrees. Is a temperature in degrees Fahrenheit proportional to its equivalent temperature in degrees Celsius?

Celsius 0 5 10 15Fahrenheit

8. This year Andrea celebrated her 10th birthday, and her brother Carl celebrated his 5th birthday. Andrea noted that she was now twice as old as her brother was. Is the relationship between their ages proportional? Explain your reasoning using a table of values.

Andrea 10

Carl 5

9. Mr. Bohac is comparing the price of oranges from several different markets. Which market’s pricing guide is based on a constant unit price?

A. B. Farmer’s Market

Number of Oranges

Total Cost ($)

5 3.5010 6.0015 8.5020 11.00

C. D.

PROPORTION:A proportion is a statement that two ratios are equal.

A recipe calls for 2 eggs for every 3 cups milk. At this rate we would have 8 eggs for 12 cups of milk.

We express this as the equality if two fractions: Sometimes we say 2 is to 3 as 8 is to 12.

Farmer’s MarketNumber of

OrangesTotal Cost

($)5 3.0010 5.0015 7.0020 9.00

Farmer’s MarketNumber of

OrangesTotal

Cost ($)5 3.5010 6.5015 9.5020 12.50

Central ProduceNumber of

OrangesTotal Cost

($)5 3.0010 6.0015 9.0020 12.00

Proportion

Identifying Proportions NotesA proportion is a statement that shows two ratios are __________, or proportional.

We __________ – _______________ to find if two ratios are proportional to each other.

Tell whether each pair of ratios forms a proportion.

1. 2. 3.

4. 5. 6.

7. An elephant’s heart rate was measured at 26 beats in 1 minute and 102 beats in 4 minutes. Are the rates proportional?

8. Karen makes 7 T-shirts in 10 days and Rob makes 21 T-Shirts in 30 days. Are the rates proportional?

9. Is the rate 32 apples in 6 boxes proportional to 4 boxes and 20 apples?

Name: ________________________

Tell whether each pair of ratios forms a proportion. Show all work.

1. 2. 3.

4. 5. 6.

7. 8. 9.

Tell whether each pair of ratios forms a proportion. Show all work

10. Is the rate 32 birds in six nests proportional to the rate twenty birds in four nests?

11. Is the rate three pets in 15 houses proportional to the rate ten pets in 50 houses?

12. The ratio of students to parents at a basketball game is 6 to 5. Is that proportional to 170 parents and 204 students?

13.The Star Gazette charges $7.20 for 3 weeks. Is their 11-week charge of $32.00 proportional to their 3-week charge?

Solving Proportions NotesUse the following steps to solve all proportions: 1. Cross Multiply – The product of the means equals the product of the extremes. 2. Set the products equal to each other. 3. Solve for the variable by dividing by the number next to the variable.

Example 1: and

Step 1: Write the cross Products

Step 2: Multiply

Step 3: Solve by using INVERSE Operations ( division)

Example 2: and


Step 2: Multiply


Example 3: and


Step 2: Multiply


Example 4: and


Step 2: Multiply


Example 5: and


Step 2: Multiply


Example 6: and


Step 2: Multiply


Example 7: and


Step 2: Multiply


Example 8: and


Step 2: Multiply


Solving Proportion Practice

I. Determine if the following pairs of ratios form proportions.

1. and 2. and 3. and


II. Solve each proportion



Name: _______________________ Date: _____________

Solving Proportions

Solve:

Write a proportion and then solve for the variable.

1. 2 subscriptions for $18. 13 subscriptions for x dollars.

2. 12 ounces at $9. 17 ounces at x dollars.

3. 1.2 cm represents x km. Two cm represents 7 km.

4. x liters at $22. Three liters at $15.

Solving Proportion Word Problems

Class NotesWhen a rate stays the same:1) Write given rate as fraction with units2) Identify unknown and known of second

rate3) Set up proportion with same units

across 4) Cross-Multiply5) Solve and label units

1) A typist types an essay of 1260 words in 15 min. At that rate, how long would it take to type an essay of 2100 words?

2) With a 5 lb bag of flour the cooking class can make 120 date-nut muffins. How many muffins can they make with a 2 lb bag of flour?

3) Cira earns $10.20 for 3 hours of work. How much does she earn in 5 hours at the same rate of pay?

4) If 75 shares of a certain stock sell for $940, how much do 120 shares sell for?

5) You are biking in the Tour de France! So far, you have biked 15 miles in 5 minutes. At this rate, how long would it take you to bike 12 more miles?

6) Paul worked for 5 hours and earned $35. At this rate, how much money will he earn if he works for 12 hours next week?

7) An Italian chef made 8 plates of spaghetti for every 3 plates of lasagna. If she made 78 plates of lasagna, how many plates of spaghetti did she make?

8) The ratio of pitchers to catchers at baseball camp was 11 : 4. If there were 64 catchers, how many pitchers were there?

Proportion Word ProblemsDirections: Read each word problem carefully and set up a proportion to solve. You must show your work and label each box of the proportion organizer to receive full credit. Each question is worth 15 points.

1. If a chain link fence costs $180 for 20 feet installed, how much would it cost to install 300 feet?

2. A $4 sales tax is charged for a $50 purchase. At this rate, what is the sales tax for a $1200 purchase?

3. A child can run 5 blocks in 2 minutes. How long does it take the child to run 8 blocks, at the same speed?

4. On a tour map to Madagascar, the scale states that 3 inches = 125 miles. Two beaches are 5 inches apart on the map. What is the approximate distance in miles between two beaches?

5. The chef puts 7 lbs of vegetables into the stew for every 12 portions. How many pounds of vegetables are needed for 108 portions?

6. Jaime has a 60 lb. dog. The vet prescribed medicine for the dos’s allergies. The medicine states 2 tsp. for every 5 lbs. How much medicine should Jaime give her dog?.

7. At Pershing Middle School, the student to teacher ratio is 17 to 2. If there are 1700 students at Pershing, how many teachers are there?

Name: ________________________________________________ Date: _____________ Hr: ______

Writing Proportions Homework!In order to write a proportion:

1. Find the ratio in the problem! (Watch out, sometimes there is a 1 hiding!)2. Write the ratio in the proportion using UNITS3. Write the additional information in the proportion across from the number with the same

UNITS4. SOLVE! Include UNITS in your answer.

Word Problem Proportion Solve

1. A baseball player is hitting 2 home runs in every 25 times at bat. Suppose he continues at that rate. How many home runs will he hit in 560 times at bat?

2. An automobile used 8 gallons in travelling 120 miles. At that rate, how many gallons will be used in travelling 360 miles?

3. Mr. Nicholas burned 96 calories during 8 minutes of jogging. How many calories would he burn during 14 minutes of jogging?

4. An 11 pound turkey takes 270 minutes to cook. How many minutes would it take to cook an 18 pound turkey?


5. Ms. Resele wants to buy 12 pounds of rice crispy treats for her students. What would be the cost if 3 pounds of rice crispy treats cost $4.50?

6. On Ms. Ward’s science test, Quion had a ratio of 5 to 4 correct answers to incorrect answers. If Quion got 12 answers wrong, how many did Quion answer correctly?

7. At the cafeteria the ratio of pints of chocolate milk sold to pints of plain mild sold is 4 to 7. At this rate how many pints of plain milk will be sold if 100 pints of chocolate milk are sold?

8. In Ms. Froehlich’s homeroom, 3 out of every 5 students would prefer to play Wii than do their homework. If there are 20 students in her homeroom, how many prefer to play Wii than do their homework?

9. Paul bought 5 boxes of cookies for $6.30. How much would it cost him to buy 8 boxes of cookies?

Name: ________________________________________________ Date: _____________ Hr: ______

Writing Proportions Practice!In order to write a proportion:

1. Find the ratio in the problem! (Watch out, sometimes there is a 1 hiding!)2.Write the ratio in the proportion using UNITS3. Write the additional information in the proportion across from the number with the same UNITS4. SOLVE! Include UNITS in your answer.


1. Ms. Ivory can read 1,500 pages in 12 days. If she reads the same amount of pages each day, how many pages can Ms. Ivory read in 3 days?

2. The automobile insurance company receives 18 calls in 6 hours. How many calls do they received in 11 hours?

3. At Nascar’s Indy 500, cars can travel 560 meters in 8 seconds. How many meters do they travel in 2 seconds?

4. In a stadium, there are 168 seats in 8 rows. If each row has the same amount of seats, how many seats are in 5 rows?

5. Ms. Ward wants to buy 45 cupcakes her students. What would be the cost if 3 cupcakes costs $4.50?

6. On Ms. Ivory’s math test, Marcellus had a ratio of 4 to 3 correct answers to incorrect answers. If Marcellus got 6 answers wrong, how many did Marcellus answer correctly?

Name: ________________________________________________ Date: _____________ Hr: ______

Writing Proportions!In order to write a proportion:

5. Find the ratio in the problem! (Watch out, sometimes there is a 1 hiding!)6. Write the ratio in the proportion using UNITS7. Write the additional information in the proportion across from the number with the same

UNITS8. SOLVE! Include UNITS in your answer.

1. There are 42 fuzzles in every bag. How many fuzzles does Danny have if he has

15.5 bags of fuzzles?

2. A zippster car can travel 342 miles every 3 hours. How far can Michelle’s zippster

car travel in 14 hours?

3. Every wuzzle has 19 kittens. If there are 15 wuzzles in my neighborhood, how

many kittens are there?

4. A pikatou can fly 77 miles per minute. How far can a pikatou fly in half an hour?

5. Sam works as a dental hygienist. Last week Sam made $500 for 20 hours of work. How many hours must Sam work in order to

make $700?

Solve the proportion problems below using the same strategy as on the previous page.

6. The Ridilla family plan to drive to their vacation destination in 2 days. On day 1 the family traveled 324 miles in 4.5 hours. On day 2, how many hours will it take the family to complete the 576 mile trip, assuming the travel at the same rate as day 1?

7. Mary baked a batch of 3 dozen cookies for 40 women at the women's club. Next month the women's club is expecting 60 women to attend the monthly meeting, how many cookies should Mary bake?

8. Fairfield High School plans to upgrade and buy 450 new student computers from IBM at a discounted rate of $525 per computer. Marion County plans to buy an additional 18,000 computers for other schools in the county. If the county has budgeted 9.5 million dollars for this purchase, have they budgeted enough and what will be their final cost?

9. Murphy and Abby are trying to determine the distance between two particular cities by using a map. The map key indicates that 4.5 cm is equivalent to 75 km. If the cities are 12.7 cm apart on the map, what is the actual distance between the cities?

10. Suppose it takes 48 chicken fingers to feed Mr. Young’s 4th grade class of 20 students. How many chicken fingers would be needed for 30 students?

x

y

Activities

The Great Paper Caper!

Thompson Paper Mill needs to find a new company to deliver its lumber. They are currently looking at two different distributors, The Williamson Lumber Company and Johnson Lumber Distributors. Help the Thompson Paper Mill decide which company to go with.

Part I.The Williamson Lumber Company charges a fee of $5 per bundle plus an additional fee of.$25 for lumber delivery The following table shows various cost to the Thompson Paper Mill based on the number of bundles delivered.

A. Finish filling in the table to show the unit cost per bundle.Number of bundles of lumber

Cost Unit Rate Cost per Bundle

10 $75 = _________

20 $125 = _________

30 $175 = _________

50 $275 = _________

100 $525 = _________

B. Does the table show a constant of proportionality (constant cost per bundle)?

C. What equation could be written to find the cost of delivery for any x number of lumber bundles?

D. Does this equation show a proportional relationship? (Is it in the form y = kx)

E. What would the cost of 200 bundles be?Part II.The Johnson Lumber Distributors charges a flat of $10 per bundle. The following table shows various cost to the Thompson Paper Mill based on the number of bundles delivered.

A. Finish filling in the table to show the unit cost per bundle.Number of bundles of lumber

Cost Unit Rate Cost per Bundle

10 $100 = _________

20 $200 = _________

30 $300 = _________

50 $500 = _________

100 $1000 = _________

B. Does the table show a constant of proportionality (constant cost per bundle)?

C. What equation could be written to find the cost of delivery for any x number of lumber bundles?

COST

OF

ORDER

D. Does this equation show a proportional relationship? (Is it in the form y = kx)

E. What would the cost of 200 bundles be?

Part III : Fill in the graph with the information from both companies

----- Williamson Lumber Company ____ Johnson Lumber Distributors

NUMBER OF BUNDLES

A. Does the graph for the Williamson Lumber Company show a proportional relationship? Justify your answer.

B. Does the graph for the Johnson Lumber Distributors show a proportional relationship? Justify your answer.

Proportional Vs Non Proportional Station Cards

Station 1: Height of Relational Rods to Screen Length ( Use Cuisenaire rods and overhead)1. Measure the length of each relational rod to the nearest centimeter. Record these values inthe table.2. Place the rod on the overhead projector, and measure the length of the rod on the screen.Record your measurement.3. Check that you have measurements of all rods.

Station 2: Circumference of a Circle to the Diameter ( Use attached circle sheet)1. For each circle, measure the circumference to the nearest centimeter using a string and record it in thetable.2. Measure the diameter of each of the circles to the nearest centimeter and record the values.3. Check that you have measurements of all circles.

Station 3: Length of the Diagonal to the Perimeter of a Rectangle ( Use attached rectangle sheet)

1. For each of the rectangles, measure the length of the diagonal shown to the nearestcentimeter and record it in the table.2. Measure the perimeter of each of the rectangles to the nearest centimeter and record it inthe table.3. Check that you have measurements of all rectangles.

Station 4: Length of Line Segments Measured in Centimeters and Millimeters( Use attached Line sheet)

1. Measure each line segment in centimeters. Record the values on the table.2. Measure each line segment in millimeters and record the value.3. Check that you have measurements for all line segments.

Circle Sheet

Circle BCircle A

Rectangle Sheet

Circle C Circle D

Rectangle ARectangle B

Line Segment Sheet

Line A

Line B

Rectangle D

Rectangle C

Line C

Line D

Proportional Vs Non Proportional Station CardsRecording Sheet

Station 1: Height of Relational Rods to Screen Length

Rod( color)

Length of rod Length on screen

Proportional: Yes No

Station 2: Circumference of a Circle to the Diameter

Circle Circumference Diameter


Station 3: Length of the Diagonal to the Perimeter of a Rectangle

Rectangle Length of diagonal

Perimeter


Station 4: Length of Line Segments Measured in Centimeters and Millimeters

Line Centimeters Millimeters


Directions

Option 1: Copy each of the following 4 corners boards. Cut the boards apart so that each corner is

separated from the rest. Mix up all the corners from each problem. Give each student one of the mixed up

corners and have them find the students the other parts of the 4 corners board that match theirs. Once the board

has been assembled, have the students fill in the missing pieces on each board and answer the questions.

Option 2: Copy and laminate about 15 sets of the following 4 corners boards. Cut the boards apart in each set so that each corner is separated from the rest. Mix up all the corners within one set (each set should have eight 4 corners problems in it). Pair up students and give each pair one set of the 4 corners boards. Have the pair match up the 4 corners problems and fill in the missing pieces using an overhead pen or dry erase marker.

Activity 1:

Activity 2:

You are on a boat traveling the navigable portion of the Seine River. The boat’s average speed is 30 kilometers per hour.

Hours(x) Process

Distance Boat

Traveled(y)

y/x

1

2

3

4

5

Rule:

Proportional/Non-Proportional?

Dist

ance

(Km

)

1 2 3 4 5Time (hours)

Kevin is ordering greeting cards. A box of greeting cards cost $4. There is a shipping fee of $2 for the entire order.


# of Boxes

(x)Process

Cost for Order

(y)

y/x

1

2

3

4

5

Rule

Cost

of o

rder

($

)

1 2 3 4 5

2468

10

# of Boxes

12

181614

202224

Activity 3:

Zatrick is taking hang gliding lessons. It cost $10 per lesson plus $25 for the equipment rental.


# of lessons

(x)Process

Cost of the

lessons(y)

y/x

1

2

3

4

5

Rule:

Cost

for

less

ons

1 2 3 4 5Lessons taken

Activity 4: Algebra I Unit 1

4 Corners MATCH’EM

Humberto is having a party. He buys

cases of soda pop. Each case costs

$7.50. How much money do you spend

buying cases of soda pop?


# of cases

(x)

Process Cost(y)

y/x

1

2

3

4

5

Rule:

Cost

($)

# of cases1 2 3 4 5

7.50

15.00

22.50

0

37.5030.00

Activity 5: Algebra I Unit 1

4 Corners MATCH’EM

Rule:

Stephanie baked cupcakes. She sells each cupcake for $2.00 at the bake sale.


Cupcakes Sold(x)

Process Profit(y)

y/x

1

2

3

4

5

Profi

t

Cupcakes Sold1 2 3 4 50

Activity 6:

Blane is saving it to buy a cell phone.

He now saves $2 per day plus he earned

$10 walking a dog and how much has

he saved?


# of days(x)

ProcessAmount saved

(y)

y/x

1

2

3

4

5

Rule:

Mon

ey S

aved

($

)

1 2 3 4 5

2468

10

Days

12

181614

202224

Activity 7:

Activity 8:

Kayla buys 2 new CD’s each month.

How many CD’s does she have after

each month?


# of months

(x)Process CD’s

(y)

y/x

1

2

3

4

5

Rule:

CD’s

1 2 3 4 5

2468

10

# of months

12

181614

202224

Rule:

Example 1:

Pedro went bowling. Palace

Lanes charges 10 per game

plus $5 for shoe rentals.


# of games

(x) Process Cost

(y)

y/x

1

2

3

4

5

Tota

l Cos

t

1 2 3 4 5# of games

Rule:

Example 2:

Shirley rents movies from Net Flix. She pays $2 per movie plus a $4 delivery fee on her order.


# of movies

(x) Process Cost

(y)

y/x

1

2

3

4

5

Tota

l Cos

t

1 2 3 4 5# of movies

Rule:

Ezequiel is mowing lawns to save money for Christmas presents. He charges $25 per lawn.


# of lawns

(x) Process Profit

(y)

y/x

1

2

3

4

5

Profi

t

1 2 3 4 5# of lawns

Writing and Solving Proportions Activity Recording sheet

Problem Proportion Work Answer

Example 1:

Problem 1:

Problem 2

Problem 3:

Problem 4:

Problem 5:

Problem 6:

Problem 7:

Problem 8:

Problem 9:

Problem 10:

Problem 11:

Problem 12:

Writing and Solving Proportions Activity Cards

2.4 cm represents x km. One cm represents 3.5 km.

x liters at $33. Five liters at $15.

http://www.google.com/imgres?imgurl=http://www.dbverhuur.nl/file/img/web/assortiment/maatbeker-1-liter.jpg&imgrefurl=http://www.dbverhuur.nl/webshop/591/maatbeker-1-liter.html&usg=__auI5wE6PV2_KAvhrm7HzuQG2go0=&h=525&w=480&sz=80&hl=en&start=53&zoom=1&tbnid=TANybOSXd-KsGM:&tbnh=132&tbnw=121&ei=QdWUTq2gHrSjsQLSobTvAQ&prev=/search%3Fq%3D1%2Bliter%26start%3D42%26hl%3Den%26sa%3DN%26gbv%3D2%26tbm%3Disch&itbs=1

Three packages of cheese for $7.17. Six packages of cheese for x dollars.

225 bushels for three acres. X bushels for 9.6 acres.

64 feet of rope weighs 20 lbs. 28 feet of rope weighs x lbs.

Two liters of apple juice at $3.80. Five liters of apples juice at x dollars.

http://lssacademy.com/wp-content/uploads/2008/01/rope.jpg

x miles in eight days. 200 miles in 2.5 days.

1500 km on x liters. 450 km on 45 liters.

http://www.google.com/imgres?imgurl=http://www.pollsb.com/photos/o/53309-suv_land_rover.jpg&imgrefurl=http://www.pollsb.com/polls/driverless_car&usg=__MP4O4PSPyiG_4QYR0NkA4ZA2k0Y=&h=960&w=1280&sz=115&hl=en&start=21&zoom=1&tbnid=h0hRcPP_1QfxwM:&tbnh=113&tbnw=150&ei=fteUTvDBHeKLsAKxtbzvAQ&prev=/images%3Fq%3Dcar%26um%3D1%26hl%3Den%26rlz%3D1T4ADBR_enUS310US310%26tbm%3Disch&um=1&itbs=1

x pounds of meat for seven dogs. 2.5 pounds of

meat for two dogs

3.6 inches of snow in x hours. Two inches of snow in 2.5 hours.

Don’t let the problems SCAREYOU! Directions: Complete each problem and circle either answer one or two. The color will correspond with the problem number on the Halloween picture. For example, if the student gets the answer x = 20

for number 1, they should color all of the number ones GREEN in the picture.

Problem Answer One Answer Two 1

12 tickets for $4.68

Green 10 tickets for $4.50 Red

2

3 oz. for $2.98 Maroon

2 oz. for $2.79 Dark Green

3 12 oz. for $1.29 Purple

14 oz. for $1.49 Black

4 David read 40 pages of a book in 50 minutes. How many pages should he be able to read in 80 minutes?

12 pagesRed

64 pagesOrange

5 Carol spends 17 hours in a 2-week period practicing her culinary skills. How many hours does she practice in 5 weeks?

34 hoursBlack

42.5 hoursPink

6 In the typing world, 80 words per minute is considered acceptable. How many words per 30 minutes is this?

160 wordsLight Brown

240 wordsPeach

7 In a shipment of 40 parts, 14 are found to be defective. How many defective parts should be expected in a shipment of 100?

35 partsOrange

286 partsGreen

8 It takes about me 25 minutes to make out a test for a mathematics class. How long will it take to make out tests for all five of my classes?

25 minLight Brown

125 minDark Brown

9 A worker can complete the assembly of 15 tape players in 6 hours. At this rate, how many can the worker complete in a 40-hour work week?

16 tape playersDark Brown

100 tape playersLight Brown

10 Hurricane Katrina dropped about 12 inches of rain over a 48 hour period. How much rain is this perhour?

.25 inchesBlack

4 inchesPink

Proportion Word ProblemsProblem Proportion Work Answer

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Problem Proportion Work Answer5

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