Transcript Proportions - Mr. Moore

P opor ons
r
ti
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?
Sports
Mania!
Home
page!
Bob the
builder!
Can he
build it?
Is this
stylish?
Do you know
your stuff?
What’s new
at the zoo?
Old
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?
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?
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?
Is this
stylish?
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/ratioproportionandperce
nt/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 old
40 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 = 400
8
– Now what does X equal? How tall will Cameron
be when he is 10?