SMARTen Up! Part 1 v3.2
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The document discusses effective use of Interactive Whiteboards (IWBs) in classrooms, emphasizing the importance of new metaphors for teaching and learning. It covers various mathematical concepts, such as factorials, combinations, scalar and vector quantities, and provides examples and challenges for students. The content also includes interactive elements meant to engage learners through revealing techniques.
![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](https://image.slidesharecdn.com/smartenuppart1v3-2-100718183131-phpapp01/85/SMARTen-Up-Part-1-v3-2-5-320.jpg)
![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.](https://image.slidesharecdn.com/smartenuppart1v3-2-100718183131-phpapp01/85/SMARTen-Up-Part-1-v3-2-6-320.jpg)
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