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FUNCTIONS ACROSS THE GRADES
      Northwest Mathematics Conference
        Victoria, BC ∙ October 19, 2012
CHRIS HUNTER

K-12 Numeracy Helping Teacher
 School District No. 36 (Surrey)

 hunter_c@surreyschools.ca
At a father-son golf tournament,

•   fathers shake hands with each other

•   fathers shake hands with sons
    (except their own)

    How many handshakes occur?
The “Classic” Handshake Problem

How many handshakes occur when there are n people?
The “Classic” Handshake Problem




       n ( n − 1)
n C2 =
            2
       1 2 1
     = n − n
       2        2
Linear

  Quadratic

Absolute Value

 Logarithmic

Trigonometric
A different view…
[C] COMMUNICATION
[C] CONNECTIONS
[ME] MENTAL MATHEMATICS & ESTIMATION
[PS] PROBLEM SOLVING
[PS] PROBLEM SOLVING

Solving problems is not only a
GOAL of learning mathematics, but
also a major MEANS of doing so.

If students have already been
given ways to solve the problem, it
is not a problem, but…
practice.
[R] REASONING
[V] VISUALIZATION
[T] TECHNOLOGY
POSITIVE ATTITUDES IN MATHEMATICS
•   enjoy & value mathematics

•   develop mathematical habits of mind

•   take risks

•   exhibit curiosity

•   make & correct errors

•   persevere

•   experience mathematics in non-threatening,
    engaging ways

•   understand & appreciate the role of mathematics
    in human affairs
MATHEMATICAL PRACTICES
  (not a Canadian Concern, Strictly Speaking)

1. Make sense of problems and persevere in solving
  them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the
  reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated
  reasoning.
Barbie Bungee
Barbie Bungee

Fawn Nguyen

http://fawnnguyen.com/
I’m a frayed knot.
Follow Up on Friday Bubbles

Fawn Nguyen

http://fawnnguyen.com/
The more sides you have, the greater your angles.
            So, the smarter you are.


               I’m a frayed knot.
Estimation 180
             Andrew Stadel
http://www.estimation180.com/
Absolute Value Both Rigorous and in Context

Kate Nowak

http://function-of-time.blogspot.com/
“Into the Mystic”
Date Added: 08-10-13
Plays: 62
Last Played: 12-04-19
y = 0.84x − 1036

y = 0.84 ( x − 1233)

y − 63 = 0.84 ( x − 1308 )
Thank-you!
reflectionsinthewhy.wordpress.com
         @ChrisHunter36

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Functions Across the Grades Math Conference Handshake Problem

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  26. Linear - Figure 0?\n
  27. \n
  28. \n
  29. Linear - Figure 0?\n
  30. \n
  31. \n
  32. \n
  33. \n
  34. slope more than rise over run\n
  35. \n
  36. \n
  37. \n
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  48. \n\n
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  55. \n