Proportions

What are we doing with this?

• Today you are going to explore this interactive tool to learn more and solve problems using proportions!

• At the home page you will be able to click on different challenges to solve. Use your guided worksheet to record the challenge and your answer (this will be collected to make sure you participated!)

• There are 5 challenges and a quiz at the end so make sure you do everything!

How do I work this thing? • To go onto the next slide you are going to click

on this arrow • To go to the previous slide you are going to

click on this arrow • To go to the home page you will click on this

button

• If you have questions for Mr. Eldredge or Ms. Robertson use your “I’m stuck!” card by hanging it over the top of your computer.

What’s New at

the Zoo?

But Mom and Dad said it’s fair?

Do you know your stuff?

Sports Mania!

Home page!

Is this stylish?

Bob the builder! Can he

build it?

I’m

lost…

What’s new at the zoo?

Question 1:• The zoo has decided to expand and

buy more animals! But they want them to be proportional!

• They have 2 giraffes for every 5 penguins.

• If the zoo now has 15 penguins, how many more giraffes do they need to buy?

Old Zoo

New Zoo

Question 2• The zoo spends

$5,000 a month on food for 40 animals.

• Because the zoo expanded they now have 120 animals!

• How much will the zoo spend on food a month now?

Is this stylish?

Question 1• The designer uses 7 yards

of fabric for 3 dresses. • The warehouse needs to

make 40 dresses to send to walmart.

• How much fabric does the warehouse need?

Question 2• Susan read in “Teen

Scene” that for every 2 black dresses she needs 3 pearl necklaces.

• If Susan has 4 black dresses how many pearl necklaces does she need?

But Mom and Dad said it’s fair?

Question 1• Billy’s Mom and Dad said

that their allowances for each kid is proportional do their age.

• Billy’s brother Bob is 18 years old and gets $20 a month allowance.

• If Billy is 13 years old, how much should he get for allowance?

Question 2• Billy’s parents said that he can

have a pet when he is old enough. • Bob who is 18 years old has 5 fish. • Billy thinks that if Bob is

responsible enough for 5 fish he can be responsible for a pet too!

• If this is a proportional relationship, how many fish could Billy be responsible for?

Bob the builder! Can he build it?

Question 1• Bob is trying to get enough

paint to paint his living room. • Bob uses 3 gallons of paint for

every 48 feet squared. • If Bob needs to paint 70 feet

squared, how much paint does he need?

Question 2• Bob wants to put hard

wood flooring in his family room.

• The cost of hard wood flooring is $45 for every 12 boards.

• If Bob needs 48 boards for his living room, how much will he pay?

Sports Mania!

Question 1 • For every 50 free throws Will

shoots in basketball, he makes 34.

• If Will shoots 30 free throws in the game, how many did he make?

Question 2 • The Ravens will score 7

touchdowns for every 3 games.

• If the Ravens have played 13 games, how many touchdowns did they score?

Do you know your stuff?• Go to the following link by holding down the control button so

that the mouse appears. – http://www.brainpop.com/math/

ratioproportionandpercent/proportions/quiz/• Then click on Review Quiz and continue to take the quiz. • This is not for a grade so just try your hardest! • After you have finished the Review Quiz. Click on the above

link again and take the Graded Quiz. Record your results on the guided worksheet.

Lost? Here’s a review…

• What is a proportion anyway? – A proportion is used when two ratios are equal.

• Wait! What’s an example?

• So… How do I set up a proportion? – A proportion is set up as two ratios that are equal

to each other. – For instance if Cameron is 8 years old and 40

inches tall. I want to know how tall he is when he is 10 years old.

– So… I’d set it up like so…. 8 years old = 10 years old40 inches tall X inches tall

Click forward to find out what next!

• Ever heard of cross multiplication? Welp here it is!

• Follow the arrows to multiply! So multiply 8 by x! and 40 by 10!

• 8X = 40×10– Multiply 40 by 10…

• 8X = 400 – Now divide by 8 to get the X by itself!

• X = 4008

– Now what does X equal? How tall will Cameron be when he is 10?