Functions black box

Directions:
1. Load one of the following problems with a Geogebra-enabled Ipad.
2. Then, play around with the input in order to determine what the function is.
3. Keep track of your inputs and outputs, creating a table and graph with your data.
4. When putting inputs in don't press enter to engage the machine, instead put your desired input into the Geogebra "input bar" button and press enter.

Parent Functions:
Function Machine Problem 1
Function Machine Problem 2
Function Machine Problem 3
Function Machine Problem 4
Function Machine Problem 5
Function Machine Problem 6
Function Machine Problem 7





Transformations:

Permutations and combinations

I like this warm up because Students will take a variety of methods to represent it.  There are only two shapes, and its a quick problem that gets down to the idea of choosing.  

After this I ask them to extend their thinking with this ordered horse race problem:

common student  responses include 3*8, 8^3, 8*7*6

and most student responses are "its the same" 

Venn Diagrams, Probability and Roulette

This is one of my favorite days during the probability unit.  It isn't often I get to gamble with my students and say its educational.

I begin this day with a quick warm up involving placing cards in the right parts of the Venn diagram.  Then, I ask them a few questions about it, just as review of the notation.

The last one I stop myself and ask the students how to even say that and inevitably someone says not A or B, to which I have to make a point.

After everyone is okay with the basic of the Venn diagram I preface the next activity with "Don't tell you parents we're playing this but does anyone recognize this game?

Then I start taking bets.  I draw two student names at random, inform them what they could bet on and place their bets.  Before I spin we have to model the situation with a Venn diagram and talk about intersections, unions, and compliments.

Here is the graphic organizer