SMARTen Up! Part 1 v3.2

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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

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SMARTen Up! Part 1 v3.2

Education