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:

Graphing non-linear inequalities

Learning target: students can graph non-linear inequalities.

This is a multiple day lesson, where students first start with a game of graphing pictionary.  I hand students this packet and tell them that the person holding it must


Students have to complete the 4 problems

I've also learned that these types of activities work great but they have to be accompanied by practice almost immediately after in order to cement the ideas down so students can actually apply the concepts.


The second day I open with a warm up that requires students to write the equations for a system of inequalities based off of a graph.  Then I hand them a sheet, tell them to figure out what the equations are.  the most important part is that they are going to double check themselves on their own calculator.  I've learned by now that with my 11th grade students activities always run smoother if the lesson is student centered.  They must be able to check their own work.

This turns out to be a great review of function transformations as well

Inverse functions and Sneeches

Learning target: students can write equations for inverse functions

First we start out reviewing composition of functions f(g(x)).  I've never taught inverses this way before so we'll see.

This lesson is partially a tribute to a personal hero of mine.

after they've been working for a while we take a break by watching this video, its about 12 minutes and not about math, but students are due for something novel in class, they've been grinding the wheel for a while, so we watch this:

Here is the worksheet that I've been using:

Geogebra function machine

geogebra functions

Guess the parent:
https://drive.google.com/folderview?id=0BxjT-thw_52JTThyckFoZDFwbzQ&usp=sharing

Guess the transformation (easier):
https://www.dropbox.com/s/90o1ot7ndx10ps0/Function%20Machine%20parent%20problem%201.ggbFunction machine problem 1

Guess the transformation (hard):


From dropbox:
Problem 1
Problem 2

Friday 11/30/12 inverses

Learning target: students can create graphs and tables of functions and their inverses

Homework: No HW