TWT2013-iPad+Graphing+Calculators

=TWT2013- iPad Graphing Calculators=

http://www.desmos.com

Webinar on using Desmos in the classroom: [|Webinar link]

- Create Login (either via desmos or using google email)

- Build first equation, using f(x) or y=. (y=2x-3)

- Graph multiple equations on the same axes: y=x^2

- Incorporating "sliders" into your equations. Try changing the "3" in y=2x-3 to the letter "b" and the "2" to a letter "m".

- Saving your graph (click disk icon next to the equation bar.

- Sharing your graph via links or embed code (click "share" link in the upper right")

Linear Equations

- Changing the slider values to integers using the step function. How would you modify an equation to show that slopes between +0 and +1 go between 0 and 45 degrees? Using integer values only?

- Systems of equations

PEDAGOGICAL APPROACHES

- Ways to use sliders to teach concepts... for example, illustrating how y=mx + b can model all lines in the universe

1) Student 1 draws a "random" line on the smartboard 2) Student 2 changes the sliders to y = mx + b to match the equation with the line

- Students pair off and use desmos to generate problems of their own and challenge each other.. 1) Student 1: "I'm thinking of a line that goes through the point (1,2) and has a slope of -3. What is the equation of this line? 2) Student 2 tries to figure this out using slope-intercept.

- Desmos especially good for illustrating transformations (reflections/translations) of equations & graphs: [|Transformations]

- Highlighting points of interest: [|Points of interest]

Piecewise functions, using y = { x>0, -16t^2 + 300 } to show the importance of domain.

Inequalities

- Systems of inequalities

- Tables and scatter plots