Scale modelScale modelvs.vs.

Empire State BuildingEmpire State Building

made by: Hui Ling Luo Wendy Wu Phuong Nguyen Christopher Mejia

Solve the problemSolve the problem

How small is the scale model of the Empire How small is the scale model of the Empire State Building compared to the original?State Building compared to the original?

InformationInformation

If the Empire State Building is about 1,200 If the Empire State Building is about 1,200 feet and the scale model is 1/800 of that.feet and the scale model is 1/800 of that.

What to know to get startedWhat to know to get started

How to write a proportionHow to write a proportionHow to solve a proportionHow to solve a proportionMeasurements Measurements

Process To SolveProcess To Solve

Part A - Step 1Part A - Step 1Write the proportionWrite the proportion

Height of scale model Height of scale model = = part of scale modelpart of scale modelHeight of building part of scale modelHeight of building part of scale model

hh = = 111200 8001200 800

Part BPart BStep 2Step 2

Cross multiplyCross multiply

Solving the proportionSolving the proportionhh xx 11

12001200800800h h x 800 1200 x 1x 800 1200 x 1

800800h = 1200h = 1200

Part B – Step 3Part B – Step 3

Divide the number next to the variable on both sidesDivide the number next to the variable on both sideshh = = 1112001200800800

h h x 800 1200 x 1x 800 1200 x 1800800h h ==12001200

800 800800 800h= 1.5h= 1.5

12001200Height of scale modelHeight of scale model is 1.5 is 1.5

What Have We Learned ?What Have We Learned ?

How to write a proportionHow to write a proportion How to solve a proportionHow to solve a proportion

Compare scale model to its originalCompare scale model to its original

What Have You Learned What Have You Learned ? ? ?? ? ?

closing Creditsclosing Credits

Special thanks to Ms. DarganSpecial thanks to Ms. Dargan

AndAnd

Ms. LewisMs. Lewis

For helpingFor helping

It’s 10 pm, Do you know It’s 10 pm, Do you know where your car is?where your car is?

Presentation by:Presentation by:Simon Huang, Kenneth Chong, Junaid Qaiser & Tommy TieuSimon Huang, Kenneth Chong, Junaid Qaiser & Tommy Tieu

Of Class 730 Of Class 730 Pershing JHSPershing JHSFebruary 2005February 2005

Here’s the Problem!Here’s the Problem!

Out of 500 cars, 20 people forget Out of 500 cars, 20 people forget

where they park their cars.where they park their cars.

What percent of people forget where they What percent of people forget where they park their cars?park their cars?

Here’s another problem!Here’s another problem!

How many people forget where they How many people forget where they parked their cars? parked their cars?

What we need to how?What we need to how?

How to make a proportionHow to make a proportion

Know the Know the wholewholeKnow the Know the partpartKnow the Know the percentpercentPut Put partpart over over wholewhole, and , and percentpercent over 100 over 100

How to make a percent:How to make a percent:

Make a Make a fractionfractionDivide the Divide the fractionfractionTurn the decimal into a Turn the decimal into a percentpercent

Answer to Number 1Answer to Number 1

2020 = .04 = 4% = .04 = 4%

500500

Out of 500 cars, 20 people forget where they park their car.Out of 500 cars, 20 people forget where they park their car.

What percent is that?What percent is that?

In order to find the percent 20 out of 500 In order to find the percent 20 out of 500 We need to divide and turn them into a decimal We need to divide and turn them into a decimal It is .04, and you move the decimal 2 place to the right It is .04, and you move the decimal 2 place to the right

which is 4%.which is 4%.

Answer to Number 2Answer to Number 2

How many people forget where they parked How many people forget where they parked their cars?their cars? 2020 = = PP

200 = 100200 = 100 P= % of people who forgot to park their car.P= % of people who forgot to park their car.

In order to make a proportion. You need to In order to make a proportion. You need to know what your trying to find out know what your trying to find out

You have to find out the whole and the part. You have to find out the whole and the part. You have to put the percent over 100.You have to put the percent over 100.

DISCOVERYDISCOVERY

4% of people forgot where they park4% of people forgot where they park

20 20 people forgot where they parked out of people forgot where they parked out of 500500

10% forgot where they parked their car10% forgot where they parked their car

CreditsCredits

Thanks to the group leader TommyThanks to the group leader TommyThe typists are Simon, Kenneth The typists are Simon, Kenneth Mad props to the cheerleader, mascot, Mad props to the cheerleader, mascot,

JUNAID!JUNAID!NO THANKS TO MS.DARGANNO THANKS TO MS.DARGAN

Barry and Steve Gots what Barry and Steve Gots what you need!you need!

By: Viviana, Melissa, Erin, and JoannaBy: Viviana, Melissa, Erin, and Joanna

Pick a Store any StorePick a Store any Store

Julie was a smart shopper. The pairs of Julie was a smart shopper. The pairs of shoes she wanted had an original price of shoes she wanted had an original price of $50 at both Barry’s and Steve’s. The $50 at both Barry’s and Steve’s. The shoes had been in both stores for 2 shoes had been in both stores for 2 months.months.

Help JulieHelp Julie

How much would Julie pay for the How much would Julie pay for the shoes at Barry’s? At Steve’s?shoes at Barry’s? At Steve’s?

Barry’s storeBarry’s store

Barry’s Bargain Basement SaleBarry’s Bargain Basement Sale

Everything is a bargain!!Everything is a bargain!!

All items are marked with an arrival date.All items are marked with an arrival date.

11 Month old, Month old, 10%10% off the original price! off the original price!

22 Months old, Months old, 20%20% off the original price! off the original price!

Steve’s StoreSteve’s Store

Steve’s Super Savings StoreSteve’s Super Savings Store We Won’t be undersoldWe Won’t be undersoldAll items are marked with an arrival All items are marked with an arrival

date.date. If it’s been here 1 month, take 10% If it’s been here 1 month, take 10%

off!off! If its been here for 2 months take If its been here for 2 months take

another 20% off the already reduced another 20% off the already reduced price! price!

Process To SolveProcess To SolveSteve 10% +20%=30%offSteve 10% +20%=30%off

Steve’sSteve’s Turn percent to a decimal. Turn percent to a decimal. Move it 2 spaces to the left.Move it 2 spaces to the left.

Next Multiply Next Multiply 50*.30=15.0050*.30=15.00

Subtract discount from Subtract discount from original price: 50-15=$35original price: 50-15=$35

5 5

Barry’sBarry’s

Turn percent to a decimal. Move it 2 Turn percent to a decimal. Move it 2 spaces to the left.spaces to the left.

Next multiply $50*.20=$10.00Next multiply $50*.20=$10.00Subtract discount from original prize: Subtract discount from original prize:

$50-$20=$40$50-$20=$40

In conclusion:In conclusion:

At Steve’s you will pay $35 for a pair At Steve’s you will pay $35 for a pair of shoesof shoes

At Barry’s you will pay $40 for a pair At Barry’s you will pay $40 for a pair of shoesof shoes

Now that you graduated buy a pair of Now that you graduated buy a pair of shoes shoes

What have you learned

My group has learned that if we wanted to buy shoes we should go to Steve’s Super savings store than Barry’s Bargain Basement Sale.

CreditsCredits

• We want to thank Ms.Dargan for all of We want to thank Ms.Dargan for all of her hard work and for putting up with usher hard work and for putting up with us

• Producers Joanna, Melissa, Erinn, VivianaProducers Joanna, Melissa, Erinn, Viviana

• Special thanks to are parent’s for Special thanks to are parent’s for bringing us to this world love u mom!bringing us to this world love u mom!

• & Melissa wants to give a special thanks & Melissa wants to give a special thanks to Ashton Kutcher and Joanna wants to to Ashton Kutcher and Joanna wants to thank 50cent for inspiration we love youthank 50cent for inspiration we love you

Cooking With Math!Cooking With Math!Chocolate Turtle CheesecakeChocolate Turtle Cheesecake

Presented By- Annie Li Elaine Chang Joseph Serrano Patrick Ozga

The ProblemThe Problem How much of each ingredient will you need to serve 30 people?How much of each ingredient will you need to serve 30 people?

What do you need to know?What do you need to know?

To solve this problem we made a To solve this problem we made a proportion. proportion.

__ingredientingredient_ = _ = X X serving12 serving12 X X serving30serving30

people 12 30people 12 30 Ingredients/people x/12=x/30Ingredients/people x/12=x/30

How Do We Cook?How Do We Cook? Serves for 12Serves for 12 1 package of caramels1 package of caramels ¼ cup evaporated milk¼ cup evaporated milk ¾ cup of copped pecans ¾ cup of copped pecans 1 chocolate crumb piecrust1 chocolate crumb piecrust 2 packages cream cheese2 packages cream cheese ½ cup sour cream½ cup sour cream 1 ¼ cup milk1 ¼ cup milk 1 package chocolate instant pudding mix1 package chocolate instant pudding mix ½ cup fudge topping ½ cup fudge topping

End of part 1End of part 1

Part 2Part 2

Divide 30 by 12Divide 30 by 12 Get the answer of 2.5Get the answer of 2.5 Now multiply every ingredient by 2.5 Ex: 1.0 X 2.5= 2.50Now multiply every ingredient by 2.5 Ex: 1.0 X 2.5= 2.50

Serves for 30 Serves for 30

2.5 packages 2.5 packages

.625 cup.625 cup

1.875 cups1.875 cups

2.5 chocolate2.5 chocolate

5 packages5 packages

1.25 cups1.25 cups

3.125 cups3.125 cups

2.5 packages2.5 packages

1.25 cups1.25 cups

What Did We Learn?What Did We Learn?

We learned that proportions makes solving We learned that proportions makes solving recipes easier. We also learned that doing group recipes easier. We also learned that doing group work is a a lot fun!!!!work is a a lot fun!!!!

End CreditsEnd Credits

Thanks to our wonderful teacher Thanks to our wonderful teacher Ms.DarganMs.Dargan

Similar TrianglesSimilar Triangles

Presented By: Thomas, Joseph, Presented By: Thomas, Joseph, Kevin and certainly least Kevin and certainly least

Heriberto. Heriberto.

Our problemOur problem

Joe says that these triangles aren’t similar. Sue Joe says that these triangles aren’t similar. Sue disagrees she says they are similar. Find out disagrees she says they are similar. Find out which is correct. which is correct.

3cm 5cm 9cm 15cm3cm 5cm 9cm 15cm

4cm4cm

12cm 12cm

Need To KnowNeed To Know

Similar figures are figures that have the Similar figures are figures that have the same shape.same shape.

Proportion are when two ratios are equal Proportion are when two ratios are equal they form a proportion.they form a proportion.

Write a proportion for the two triangles Write a proportion for the two triangles third the symbol to show that two triangles third the symbol to show that two triangles are similar.are similar.

Process To SolveProcess To SolveTo SolveTo Solve

9cm 15cm 3cm 5cm9cm 15cm 3cm 5cm

4cm4cm

12cm 12cm Sue is correctSue is correct Give each side a letterGive each side a letter BB EE

A C A C D FD F

then write a proportionthen write a proportionA C D F 12 4 since 12 3*4 the ratios are equal andA C D F 12 4 since 12 3*4 the ratios are equal and = = = = the triangles are = = = = the triangles are similarsimilarA B D E 9 3 9 3*3A B D E 9 3 9 3*3

What have we learnedWhat have we learned

We have learned that similar triangles We have learned that similar triangles have sides that are proportional.have sides that are proportional.

We learned that we have to use proportion We learned that we have to use proportion to figure out if the two triangles are similar.to figure out if the two triangles are similar.

Closing CreditClosing Credit

Most Credit to three people Thomas the Most Credit to three people Thomas the team leader, Kevin the smartest, and team leader, Kevin the smartest, and Joseph T. Joseph T.

Some credit to our doggie mascot Some credit to our doggie mascot Heriberto for…… something.Heriberto for…… something.

No credit to Ms. Dargan for making us do No credit to Ms. Dargan for making us do work.work.

Final credit to Chris for bothering us a lot!Final credit to Chris for bothering us a lot!

Do You Like Basketball?

Waz’up basketball fans! Me and my team R ready 2 solve a big problem in basketball history. Get ready to know

amazing facts about The COOLEST Sport in the WORLD!

How many more games, Coach? The problem so far is that Round Lake

Middle School team won 80% of their games last year. This year the team played 5 games and won 3.The team has to play a total of 20 games this season.

How Many More Games,How Many More Games, CoachCoach? ? (part 2)(part 2)

How many more games must the team win How many more games must the team win to equal last year’s record?to equal last year’s record?

How Many More Games ,How Many More Games , CoachCoach? ? (part 3)(part 3)

Let’s Find Out!!!Let’s Find Out!!!

Game RecordsGame Records• Turn the percent to a fraction .Turn the percent to a fraction .• How many games needed to win How many games needed to win

out of a total of 20 games.out of a total of 20 games.• How many games already won.How many games already won.

HALF TIMEHALF TIME

Turn 80% of 20 games into fraction in Turn 80% of 20 games into fraction in simplest form. 80% over 100% simplest form. 80% over 100% equals 4 over 5.equals 4 over 5.

Solve the proportion 4 over 5 equal n Solve the proportion 4 over 5 equal n over 20. over 20.

4/5=n/204/5=n/20

Half Time Half Time (Part 2)(Part 2)

Find out how many games already won this Find out how many games already won this year. year. 33

Subtract total games won this year from total Subtract total games won this year from total games won last year. KEEPgames won last year. KEEP GOING! GOING!

HALF TIME HALF TIME (Part 3)(Part 3)

16-3=1316-3=13

Thirteen games needed to win.Thirteen games needed to win.

ALMOST THERE !ALMOST THERE !

POINT GAMEPOINT GAME

My group and I learned that Round Lake My group and I learned that Round Lake Middle School has to win 13 more games Middle School has to win 13 more games to equal their last years record.to equal their last years record.

I myself learned a lot about basketball.I myself learned a lot about basketball.

CLOSING CREDITSCLOSING CREDITS

• Credit to Khawar, Nadeem, Tiffany and Konrad.• Some credit to Ms. Dargan.• Credit to all people that helped us.

• NO credit to Kevin !

Sock CatastropheSock CatastrophePresented by: Whitney,

Natalia, Emily, and Nageena.

Crisis BeginningsCrisis BeginningsAt Macy’s, the price of a 6-pack of socks is $10.95. At Wal-Mart, a 3-pack of socks is $4.99.

Part AWrite and solve a proportion to find the

unit price, to the nearest cent of a pair of socks at Wal-Mart.

There’s Another Part?There’s Another Part?Part B

Find the unit price, to the nearest cent, of a pair of socks at Macy’s.

Teaching StudentsTeaching StudentsWhat Do You Need To Know? Unit rate-a quantity is compared to one unit of

another quantity Steps For Finding The Unit RateExample: $3.52 = x

4 11. Cross-multiply-multiply diagonally2. Divide your answer by the #next to the variable3. Show your answer4. Round to the nearest cent.

Process to SolveProcess to Solve• Part A: First write the fraction of $10.95/6

1)$10.95/6 =x/1• 2)$10.95 x 1 =$10.95• 3$)10.95/6 =$1.83• 4)$10.95/6 =$1.83• Part B:• Department Store =$4.99/3• 1)$4.99/3=x/1• 2)$4.99 x 1=$4.99• 3)3/$4.99= $1.66• 4)$4.99/3=$1.66

What We LearnedWhat We Learned

• How to find the unit rate in different situations

• Which store has the better price• How to work as a group

Closing CreditsClosing Credits

• Ms.Dargan for helping us put all of this together and making math much easier

• Our school for providing us with laptops• Internet for giving us pictures• The whole group for working together• Mrs. Lewis for showing us how to get

started