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AHA ... 360 degrees in a circle!
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Equilateral Triangles
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Data Management andProbability
Messages In Numbers
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Problem Of The Day
Annos Mysterious Multiplying Jars Inside the jar
was a sea of rippling water on which a
ship appeared. The ship sailed to a single
island. The island had two countries, each of
which had three mountains. There were four walled
kingdoms on each mountain and each kingdom had
five villages. There were six houses with
seven rooms each, in every one of the five
villages. In each room were eight cupboards and
each cupboard had nine boxes. Within each box
were ten jars just like the one at the beginning
of the story. How many jars were in all the boxes
together?
Fish Bowl Strategy
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Data
Probability Data

• Get it.
• Record it.
• Summarize it.
• Present it.
• Analyze it.

Survey Data
Experimental Data
Management
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Desired Result Possible Result
P(event)
Range 0 to 1
DMP 7-14
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Conclusion Alli is gifted!
Experiment Dropping spoon while eating Cream of
Wheat
a. Probability of 1 b. Probability of 0.7 c.
Probability of 0.95
Probability T2-Example Travel
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Experimenting With Probability

• Using a Probability Recording Chart
• Paper / Rock / Scissors
• Create a compound event using any two of
• a die type (4 20 sided)
• spinner
• bottle with red / white / blue marbles
• Decide on a scenario.
• Record as an area model.
• Complete several trials.

DMP 6-10
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ProbabilityThe Chance of Something Occurring
Students like to measure fairness, and games make
excellent strategies.
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Attribute Blocks

• Count the number of pieces in the set.
• List the possible attributes.
• Make comparisons of a block to the possible
  choices.
• What is the probability of choosing
• A red block?
• A thin block?
• A hexagon?

DMP 5-9
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Tree Diagrams are fundamental to Combinations
and Permutations.
DMP 7-13
These combinations build Pascals Triangle.
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Considerations

• Use student data
• Ownership
• Interest
• Reality
• Cross-curricular opportunities
• Surveys
• Design / testing / refining
• 1. How many brothers and sisters do you have?
  ___
• 2. Are you a member of a large family? Yes
  No
• Bias

DMP 8-11
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Teach Them A Variety of Methods to Record and
Display
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Tally Chart
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DMP 4-3
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Coordinate Graphing ..

• Making connections
• Grids ? Classroom Location
• Geoboards
• Best representations

DMP 5-7
Circle
Line
Bar
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Coordinate Geometry - Cartesian
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Ordered Pairs (X,Y)
Vertical Axis
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2
1
0 1 2 3
4 5 6
Horizontal Axis
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• Building the Idea
• Move into a people circle graph
• Transfer the idea to paper
• Apply Measurement and geometry ideas

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Learning What The Lines Mean .
DMP 7-9
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2.
3.
If water is poured in at a consistent rate,
how would a graph line appear that illustrates
water level?
Graphing T1-Without Scale
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Linking Mathematics and Language
Rotate the four mystery graphs around your
group. Make a group list of different ways to
use a mathematical idea like this in your
classroom writing program.
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Scatter Graph
DMP 6-7
Height of Rebound (cm)
Height of Drop (cm)
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Pictograph Graph
Using electricity in our homes
Bob
DMP 4-4
Susie
Carol
100 kwh
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Stem-and-LeaftoHistograms
DMP 7-3
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Meaningful MessagesMeasures of Central Tendency

• Mean the sum of a set of numbers divided by the
  number of numbers
• Median arrange the data in order of size and
  find the middle number
• Mode find the number that occurs most often

Write a poem.
DMP 7-7
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Software Data Tools for Students
www.statscan.ca

• Spreadsheets
• Graphs
• Databases
• Integrated Tools

Abstract Stage One-to-many relationship
Concrete Stage One-to-one relationship
Graphing Mac. Rest.
DMP 8-19
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