Transcript Prime_Time_investigation_3_1_

PRIME TIME
INVESTIGATION 3
LET’S REVIEW VOCABULARY
Multiple
Common Multiple
Factor
Common Factor
Greatest Common Factor
What are the first ten multiples of 20? Of 30?
What numbers (multiples) occur on both lists?
We call these common multiples.
What do these numbers have in common?
What is the least number that occurs on both lists?
This number is called the least common multiple of 20
and 30.
Let’s define Least Common Multiple in our
notebooks.
The least multiple that two or more numbers
share.
Ex: 6 = 6, 12, 18, 24, 30, 36, 42, 48
8 = 8, 16, 24, 32, 40, 48
SO – common multiples are 24 & 48
The LCM is 24
COMMON FACTORS
What are the factors of 12? Of 30?
What numbers occur on both lists? We call these common
factors.
What properties do these numbers have in common?
What is the greatest number on the list? This number is
called the greatest common factor.
Let’s define greatest common factor in our notebooks.
Greatest Common Factor
(GCF)
The greatest number that is a factor of each or two
or more numbers.
The factors of 12 are = 1, 2, 3, 4, 6, 12
The factors of 18 are = 1, 2, 3, 6, 9, 18
The greatest common factor is 6.
FERRIS WHEEL
How many of you have ever been on a Ferris wheel?
How many trips around do you get?
How does the size of the wheel affect your ride?
Today we’re going to be solving a problem about a Ferris wheel ride.
Investigation 3.1
Closing
• Switch partners with someone and use the P.A.L.
strategy to discuss the problem.
• Did you like using P.A.L?
• In your own words in you notebook, write about
how finding common multiples helped you solve
the Ferris wheel problem.
INVESTIGATION
3.2
Today, we are going to look at another situation that considers
when two or more things will happen again at the same time.
Your challenge is to find when two types of cicadas will appear at
the same time.
CICADAS
Cicadas spend most of their lives underground. Some populations of
cicadas come above ground every 13 years, while others come up every 17
years. Although cicadas do not cause damage directly to fruits and
vegetables, they can damage orchards because the female makes slits in
trees to lay her eggs.
We are about to solve a problem about
cicadas. You will be doing your work in your
journal, but be prepared to share what your
group has done in your notebook on the
ELMO with the class.
YOUR CHALLENGE PROBLEM
Let’s share our solutions:
** Remember to explain your strategies for
solving as well as your solution when you share.
Journal Response:
How can we tell when the least common multiple
will be the product or the two numbers given,
and when the least common multiple will be less
than the product of the two numbers?