SMARTen Up! Part 1 v3.2
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Transcript of SMARTen Up! Part 1 v3.2
eBea
m E
dge
by fl
ickr
use
r eBe
amSMARTen Up!using an IWB effectively in the classroom
Darren Kuropatwaadifference.blogspot.com
Boston, 19 July 2010
What do all those
wee little pictures
mean?
http://smartenup.wikispaces.com
Click here & learn!
Why must we dream in metaphors?
We're trying to hold on to something
we couldn't understand
We need new metaphors.
Elementary Reveal Techniques
uncovered by flickr user cambiodefractal
Factorial Notation
Definition:n! = n•(n-1)•(n-2)•(n-3)• ......•3•2•10! = 1
Examples:4! = 4•3•2•14! = 24
Examples:6! = 6•5•4•3•2•16! = 720
On the calculator:[MATH] [<] [4]
screenshadereveal
On the calculator ... Press: [MATH]
[<] (Prb) [3] (nCr)
Combinations (the "Choose" Formula)A combination is arrangement of objects where order does not matter.
n is the number of objects available to be arranged
r is the number of objects that are being arranged.
move toback
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 backframe reveal
What happens when the base of an exponential function is negative?
ƒ(x) = (-2)x
ƒ(x) = (-2) x ƒ(x) = -2 x≠
co-creatingnotes
The Triangle Method ...
We use the triangle method when the vectors are arranged tip-to-tail.
Scale: 1 cm = 2 km
Remember, we use measurements with a ruler and protractor to find the "answers."
6cm
10cm
RESULTANTRESULTANT
11.7 cm 59° S of E
23.4 km 59° S of E
enlargereveal
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.
0.06
44 N
BE
ARIN
G 70
.48°HOMEWORKenlarge
reveal
can you find it?
Expand and simplify ...
a + b
23 34 6 4
erasereveal
deletereveal
infinite clone,drag'n drop
Identify each of the following quantities as scalar or vector.
scalar vector
(f) The boat was headed N42°W across the lake.
(e) Jess jogged six blocks west along Portage Avenue.
(d) Jeff was driving at 100 km/h for 40 minutes.
(c) Today we had a 30 km/h north wind.
(b) The airplane flew 515 km/h at a bearing of 315°.
(a) There are five people living in the house just north of yours.
layeringreveal
Identify each of the following quantities as scalar or vector.
(f) The boat was headed N42°W across the lake.
(e) Jess jogged six blocks west along Portage Avenue.
(d) Jeff was driving at 100 km/h for 40 minutes.
(c) Today we had a 30 km/h north wind.
(b) The airplane flew 515 km/h at a bearing of 315°.
(a) There are five people living in the house just north of yours.
scalar
neither
vector vector
scalar
vector?
Reveal Technique Challenges
puzzled by flickr user onkel_wart
touch me
What am I?
Challenge #1grow and reveal
I'm a butterfly
cookies
What am I eating?
Challenge #2drop and reveal
Which word is most ?favourite
Challenge #3flashing text
favourite
y-int
Challenge #4touch and reveal
x-int
vertex
http://fooplot.com
Why three different names?
zeroes (numerically)
roots (symbolically)
Challenge #5touch and scroll
x-int (graphically)
Challenge #6hot links
{home}
Video Activity Reflection
Challenge #6hot links
{video}
Video Activity Reflection
Home
Challenge #6hot links
{activity}
Video Activity Reflection
Home
Challenge #6hot links
{reflection}
Video Activity Reflection
Home