Transcript Let`s Get to Know Each Other!

Let’s Get to Know
Each Other!
How many distinct handshakes are
there in our group?
Your Task
 Determine the number of distinct handshakes
there are in our group.
 Individually meet/greet and shake hands with as
many people as you can in 2 minutes.
 When you shake their hands, tell them your name
and where you teach.
 Work with a partner to devise a plan for determining
the number of distinct handshakes there are in our
group.
 Test your plan using chart paper.
Debrief
 Compare/contrast methods on charts
 In your group, write on white-board as
many different problem solving strategies
as you can for which you see evidence.
 Food for thought:
 Are all problem solving strategies
appropriate for any problem?
Problem Solving Definitions
 Problem solving is what you do
when you don’t know what to do!
The key word is “stuck”.
 Problem-solving is a process where
an individual uses previously
acquired knowledge, skills, and
understanding to satisfy the
demands of an unfamiliar situation.
Problem Solving Definitions
 A mathematical problem may be
described as problem-solving if its
solution requires creativity, insight,
original thinking, or imagination.
 In problem-solving the initial reaction
is, “I don’t know what to do”.
Make A List
An organized list is useful to
show all possible solutions.
How many different
outfits can you make if
you have two shirts and
four pairs of pants?
Red shirt, blue pants
Red shirt, khaki pants
Yellow shirt, blue pants
Yellow shirt, khaki pants
Red shirt, green pants
Red shirt, black pants
Yellow shirt, green pants
Yellow shirt, black pants
Guess and Check
Guess at a problem’s answer
and check it. Keep trying until
you are correct.
The sum of two numbers
is 27, their product is
180.What are the two
numbers?
Guess: 13 + 14 = 27
13 * 14 = 182
Guess: 12 + 15 = 27
12 * 15 = 180
YES!
Draw a Picture or Diagram
Use a picture or diagram to
solve the problem
What are the possible
combinations for
families with two
children?
B
B
G
G B G
Find a Pattern
Use a pattern to get from one
numeral to the next
Lisa is drawing a
pyramid. She puts one
block in the top row, two
in the second, four in the
third, eight in the fourth.
If she continues this
pattern, how many
blocks will be in the tenth
row?
Work Backwards
Use inverse operations to solve
problems.
Trish went to the mall and spent
$23.50 on a new shirt, $6.75 on
lunch, and $31.25 on an new
skirt.
She had $16.50 left when she
got
home. How much money did
she
bring with her to the mall?
$23.50 + 6.75 + 31.50 + 16.50 = $77.25
$23.50 on Shirt
$6.75 on Lunch
$31.50 on Skirt
$16.50 Left
Make a Table, Chart, or
Graph
Tables, charts, and graphs help organize
data.
There are 100 fifth
50
graders in the
45
school. One fifth of
40
35
them
30
like pizza, one half like
Number
25
of
spaghetti, one fifth like
20
Students
15
cheeseburgers, one
10
tenth like tacos. How
5
many students like
0
P S C T
each type of food?
Act It Out
Act a problem out or use
manipulatives.
Four students sit at each lunch table. Sue is left-handed and
doesn’t want to bump elbows with anyone, but she likes to sit
next to her best friend Kate. Kate is to the left of Nancy. Allison
likes to be on the end. Where do each of the girls sit during
lunch?
Brainstorm
Create a new way to look at a
problem.
How do 6 ¼ and 9 ¾
make 4 x 4?
$6.25 + $9.75 = $16.00
4 x 4 = 16
Use Logic
Use prior knowledge to solve problems.
A number is composite, and a
multiple of 6. The first digit is
prime, but not 2. The number is
less than 50 but greater than 20.
What is the number?
1.
2.
3.
Composite numbers have
factors other than one and
themselves.
Prime numbers have only one
and themselves as factors.
Multiples of 6 >20, < 50: 24, 30,
36, 42, 48
Simplify
Make the numbers simpler to solve the
problem.
The yard is 2,400cm long and
1,700cm wide. How many
meters of fencing is needed
to
surround the yard?
2,400cm = 24m
1,700cm = 17m
P = (24 x 2) + (17 x 2) =
82 meters of fencing
10cm = 1dm
10dm = 1m
100cm = 1 m
P = (L x 2) + (W x 2)
Problem-Solving Strategies
Simple ways to solve even the most
complex problems:
 Make a List
 Guess and Check
 Draw a Picture or
Diagram
 Find a Pattern
 Act It Out
 Work Backward
 Make a Table, Chart,
or Graph
 Simplify
 Use Logic
 Brainstorm
MODEL DRAWING