The Handshake Problem

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GRAPHING
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GRAPHS-MAKE YOUR OWN!

• In groups of three or four, decide on a topic
  your group will survey. (ie..favorite pizza
  topping) After deciding, check with your teacher
  for approval before going on.

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• Create a survey having one or two on the team go
  around the classroom to survey each person
  (including the teacher!) When the data is
  complete, organize it as a team and record the
  data in your Math Journals.

GRAPHS-MAKE YOUR OWN!
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GRAPHS MAKE YOUR OWN!

• Now you will be displaying the information on
  some type of graph. No bar graphs or line graphs!
  Come up with a creative way to show your
  information.

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GRAPHS MAKE YOUR OWN!

• Record three summary statements about your graph
  and write three questions that could be answered
  using your graph data.

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GRAPHS
The Handshake Problem

• Lets suppose you shook hands with everyone in
  this class. How many handshakes would there be?
  Act it out in your class, starting with one
  person and filling in the table on the next slide
  as you add people.

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The Handshake Table
GRAPHS
of People of Handshakes
of People of Handshakes 1 0
2 1 3 3
1 0 2 1 3 3
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The Handshake Table
GRAPHS
1 0 2 1 3 3
4 6 5 10 6
15 7 21
8 28
of People of Handshakes
of People of Handshakes 1 0
2 1 3 3
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GRAPHS
Handshake Table

• Do you see a pattern in the table after 10 people
  in class have shaken hands?
• Copy at least two different patterns you see in
  your journal.
• Describe the pattern in words.
• Can you predict the number of handshakes there
  might be for 20 people by using the pattern you
  found?
• Click here for the answer!

190 Handshakes
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GRAPHS
Using the data from the Handshake Table, make a
line graph showing the number of handshakes there
were in your classroom.
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GRAPHS
Using the data from the Handshake Table, make a
line graph showing the number of handshakes there
were in your classroom.
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GRAPHS
LEVEL OF WATER
Five events happened one night in your bathtub
that caused the level of water to rise and fall.
Write a creative story telling what might have
happened at each blue dot.

TIME
You will be sharing your story with the class!
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GRAPHS
LEVEL OF WATER
For example ....I jumped into the tub last night
and my little brother followed me in! I yelled
for mom and she took him outclothes and all! I
was having a great time being a submarine.when
suddenly

TIME
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GRAPHS

1. What letter appears inside the triangle
only? 2. What letter appears inside the circle
only? 3. What letter appears inside the
rectangle only? 4. What letter appears inside
the triangle and circle only?

MORE QUESTIONS
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GRAPHS

5. What letter appears inside the triangle and
rectangle only? 6. What letter appears inside the
circle and rectangle only? 7. What letter
appears inside the circle, the rectangle, and the
triangle? 8. What letter appears inside none of
these?

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GRAPHS

1. A 2. C 3. G 4. B 5. F 6. D 7. E 8. H

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GRAPHS

4th Grade Favorite Pizza Toppings
Write a mathematics story problem using
information from the Venn Diagram. Ask a
question at the end of your story problem. Then
solve the problem.
cheese
pepperoni
hamburger
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GRAPHING
A survey shows that 9 people like only ketchup on
their hamburger, 4 people like only mustard and 5
people like both ketchup AND mustard. Draw a
Venn Diagram in your Math Journal that shows the
results of this survey. How many people were in
the survey? What if a new person showed up and
they didnt like anything on their hamburger?
Where would you put them?
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GRAPHING
9 4 5 1 19 people in the survey
KETCHUP
MUSTARD
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GRAPHING
A survey in Miss Magoos 4th grade classroom
shows that 6 students owned dogs, 5 students
owned cats, 2 students had a cat AND a dog, and 3
children had no pets at all! Draw a Venn Diagram
that shows the results of this survey
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GRAPHING
CAT DOG
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GRAPHING
Count the number of angles in each pattern block
and show this information on a bar graph.
Number of Angles
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GRAPHING
12 10 8 6 4 2 0
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6
4
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Number of Angles
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GRAPHS
THATS ALL FOLKS! HOPE YOU ENJOYED OUR
ACTIVITIES. Youve plotted your way through
graphs, so now you can say, Venn there, done
that!
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Online Math
TEACHERS We have included buttons on this
page that will get you to each section of skills.
Just click on the button and it will take you
directly to the first page of the section. The
last page of each skill section will bring you
back to this page. Just click on the little
house button.
PATTERNS GRAPHING GEOMETRY
FRACTIONS measurement PROBLEM
DECIMALS SOLVING
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GRAPHS
Graphing is a way to present data in a concise
and visual way that makes it possible to see
relationships in the data more easily. In
order to learn to interpret graphs and use them a
a problem solving tool, children benefit from
first making their own graphs.. This
experience should be provided at all grade
levels. The first activity asks children to go
through the whole process of collecting and
organizing data, and then a variety of graphs are
presented to analyze.