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SMARTen Up!
                                 using an IWB effectively in the classroom
eBeam Edge by flickr user eBeam




                                                     Darren Kuropatwa
                                             adifference.blogspot.com
                                                 Boston, 19 July 2010
ose
                        ll th res
                   d o a ictu       Click here
                at tle p
              Wh e lit an?           & learn!
               we me




http://smartenup.wikispaces.com
We need new metaphors.

   Why must we dream
     in metaphors?



       We're trying to hold
        on to something


            we couldn't
            understand
Elementary Reveal Techniques




   uncovered by flickr
   user cambiodefractal
Factorial Notation
                                                     screenshade
         Definition:                                     reveal
         n! = n•(n-1)•(n-2)•(n-3)• ......•3•2•1
         0! = 1



   Examples:
   4! = 4•3•2•1
   4! = 24


                                            On the calculator:
  Examples:                                 [MATH] [<] [4]
  6! = 6•5•4•3•2•1
  6! = 720
Combinations (the "Choose" Formula)
A combination is arrangement of objects where order does not matter.

                                                        move to
                                                         back




     n is the number of objects          On the calculator ...
     available to be arranged              Press: [MATH]
                                                   [<] (Prb)
                                                       [3] (nCr)
     r is the number of objects
     that are being arranged.
Rhonda lives 5 km from Morris in a
SW direction. Travis lives 5 km SW
of Thompson. Are the two vector
quantities equal? Explain.

   move to back
   frame reveal
What happens when the base of an exponential function is negative?
                                        x
                            ƒ(x) = (-2)                co-creating
                                                          notes




          ƒ(x) = (-2) x   ≠   ƒ(x) = -2 x
The Triangle Method ...
We use the triangle method when the vectors are arranged tip-to-tail.

                            6cm                                                    enlarge
                                         Scale: 1 cm = 2 km
                                                                                    reveal


                                  10cm

                                                        RESULTANT
                                                              23.4 km 59° S of E




RESULTANT
       11.7 cm 59° S of E




 Remember, we use measurements with a ruler and protractor to find
 the "answers."
A large black ant pulls a breadcrumb N32°E with a force of 0.03 N.
A small red ant pulls with a 0.045 N force in the direction E5°S.
Determine the magnitude and direction of the resultant force.

                                        HOMEWORK




                                                             8°
                                                            70.4
                                                        ING 4 N
      enlarge




                                                   BE 0.064
                                                     AR
       reveal

can you find it?
Expand and simplify ...
                               erase
                               reveal
          a+b

             2
             3       3
             4       6    4




                              delete
                              reveal
Identify each of the following quantities as scalar or vector.

   infinite clone,               scalar       vector
    drag'n drop


  (a) There are five people living          (d) Jeff was driving at
  in the house just north of yours.        100 km/h for 40 minutes.



   (b) The airplane flew 515                (e) Jess jogged six blocks
   km/h at a bearing of 315°.              west along Portage Avenue.



   (c) Today we had a                       (f) The boat was headed
   30 km/h north wind.                      N42°W across the lake.
Identify each of the following quantities as scalar or vector.

      layering
       reveal


(a) There are five people living           (d) Jeff was driving at
in the house just north of yours.         100 km/h for 40 minutes.
         vector?                                   scalar

 (b) The airplane flew 515                (e) Jess jogged six blocks
 km/h at a bearing of 315°.              west along Portage Avenue.
         vector                                  vector

 (c) Today we had a                      (f) The boat was headed
 30 km/h north wind.                     N42°W across the lake.
           scalar                                neither
Reveal Technique
                Challenges




puzzled by flickr user onkel_wart
Challenge #1
 grow and reveal

                   I'm a
                   butterfly am I?
                            What




                           touch me
Challenge #2
 drop and reveal

             What am I eating?



                                 cookies
Challenge #3
   flashing text




              Which word is most favourite ?
Challenge #4
 touch and reveal




                          vertex
          y-int




     http://fooplot.com   x-int
Challenge #5
 touch and scroll

                    Why three different names?


                        x-int (graphically)


                       zeroes (numerically)


                       roots (symbolically)
Challenge #6
      hot links




                  {home}




    Video         Activity   Reflection
Challenge #6
      hot links




                  {video}




    Video          Activity   Reflection

                  Home
Challenge #6
      hot links




                  {activity}




    Video          Activity    Reflection

                  Home
Challenge #6
      hot links




                  {reflection}




    Video           Activity     Reflection

                    Home

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SMARTen Up! Part 1 v3.2

  • 1. SMARTen Up! using an IWB effectively in the classroom eBeam Edge by flickr user eBeam Darren Kuropatwa adifference.blogspot.com Boston, 19 July 2010
  • 2. ose ll th res d o a ictu Click here at tle p Wh e lit an? & learn! we me http://smartenup.wikispaces.com
  • 3. We need new metaphors. Why must we dream in metaphors? We're trying to hold on to something we couldn't understand
  • 4. Elementary Reveal Techniques uncovered by flickr user cambiodefractal
  • 5. Factorial Notation screenshade Definition: reveal n! = n•(n-1)•(n-2)•(n-3)• ......•3•2•1 0! = 1 Examples: 4! = 4•3•2•1 4! = 24 On the calculator: Examples: [MATH] [<] [4] 6! = 6•5•4•3•2•1 6! = 720
  • 6. Combinations (the "Choose" Formula) A combination is arrangement of objects where order does not matter. move to back n is the number of objects On the calculator ... available to be arranged Press: [MATH] [<] (Prb) [3] (nCr) r is the number of objects that are being arranged.
  • 7. Rhonda lives 5 km from Morris in a SW direction. Travis lives 5 km SW of Thompson. Are the two vector quantities equal? Explain. move to back frame reveal
  • 8. What happens when the base of an exponential function is negative? x ƒ(x) = (-2) co-creating notes ƒ(x) = (-2) x ≠ ƒ(x) = -2 x
  • 9. The Triangle Method ... We use the triangle method when the vectors are arranged tip-to-tail. 6cm enlarge Scale: 1 cm = 2 km reveal 10cm RESULTANT 23.4 km 59° S of E RESULTANT 11.7 cm 59° S of E Remember, we use measurements with a ruler and protractor to find the "answers."
  • 10. A large black ant pulls a breadcrumb N32°E with a force of 0.03 N. A small red ant pulls with a 0.045 N force in the direction E5°S. Determine the magnitude and direction of the resultant force. HOMEWORK 8° 70.4 ING 4 N enlarge BE 0.064 AR reveal can you find it?
  • 11. Expand and simplify ... erase reveal a+b 2 3 3 4 6 4 delete reveal
  • 12. Identify each of the following quantities as scalar or vector. infinite clone, scalar vector drag'n drop (a) There are five people living (d) Jeff was driving at in the house just north of yours. 100 km/h for 40 minutes. (b) The airplane flew 515 (e) Jess jogged six blocks km/h at a bearing of 315°. west along Portage Avenue. (c) Today we had a (f) The boat was headed 30 km/h north wind. N42°W across the lake.
  • 13. Identify each of the following quantities as scalar or vector. layering reveal (a) There are five people living (d) Jeff was driving at in the house just north of yours. 100 km/h for 40 minutes. vector? scalar (b) The airplane flew 515 (e) Jess jogged six blocks km/h at a bearing of 315°. west along Portage Avenue. vector vector (c) Today we had a (f) The boat was headed 30 km/h north wind. N42°W across the lake. scalar neither
  • 14. Reveal Technique Challenges puzzled by flickr user onkel_wart
  • 15. Challenge #1 grow and reveal I'm a butterfly am I? What touch me
  • 16. Challenge #2 drop and reveal What am I eating? cookies
  • 17. Challenge #3 flashing text Which word is most favourite ?
  • 18. Challenge #4 touch and reveal vertex y-int http://fooplot.com x-int
  • 19. Challenge #5 touch and scroll Why three different names? x-int (graphically) zeroes (numerically) roots (symbolically)
  • 20. Challenge #6 hot links {home} Video Activity Reflection
  • 21. Challenge #6 hot links {video} Video Activity Reflection Home
  • 22. Challenge #6 hot links {activity} Video Activity Reflection Home
  • 23. Challenge #6 hot links {reflection} Video Activity Reflection Home