Generalizing and Equivalent Expressions Activity Student Samples

Applications of Recursive Formulas Credit Cards, Fruit, and Mortgages This is a discovery lab using Excel that applies the use of recursive formulas to everyday applications. Students will look at the long term behavior of recursive models both numerically and graphically.

Flappy Triangles or How Curved is Your Surface? This lesson has absolutely nothing to do with the popular app Flappy Birds! Flappy Triangles does however provide a very nice handson activity to introduce students to curved surfaces and nonEuclidean geometry through the familiar sum of the angle measures of a triangle.Click here for a picture of the device.

Observing Change in Quadratics Students will observe change in quadratic equations and use this change to graph quadratic equations as well as apply the rate of change to the application of freefall. This lesson uses Excel spreadsheets but could be done by hand if shortened.

The Fundamental Theorem of Variation
Explore the Fundamental Theorem of Variation using a small group setting of Algebra II students. Students will explore how multiplying the independent variable by a constant affects direct and inverse variations.

The Living Circle On a common ground, I can relate geometric concepts to my students and nudge them into the exploration of circles
Cabri Tool Bars on the Ti84
An Introduction to Cabri Jr 2

Geometric Tansformations In this activity, students will use dynamic geometry software to draw conjectures about modeling geometric transformations with functions. 
Solving Onestep and Twostep Equations Bingo Students will create a conjecture based on the outcome of a tree diagram and test the outcome by changing the choices. 
Beading Probability Activity Students will create a conjecture based on the outcome of a tree diagram and test the outcome by changing the choices. 
Figurate Numbers Sequences An activity designed to lead students to the understanding of the sequence of figurate numbers – square, rectangular, and triangular. 
Visualizing Similarities in Right Triangles
Visualizing Similarities in Right Triangles using 3 X 5 Cards 
Probability and the Game of Sticks
This is a lesson I adapted from NCTM’s publication, “Changing the Faces of Mathematics: Perspectives on Indigenous People of North America”. I expanded it and spent time creating worksheets that guide the group through a probability game. It brings about conversation of what is a permutation, combination, experimental, theoretical probability and how they are interrelated. This also contains a spreadsheet that exemplifies this relationship even further using 10000 trial simulation. Simulation Spreadsheet

Simulating with Binomial Random Variables
In this lesson, students consider the scenario of an airline that
institutes a policy of overbooking seats. They will simulate the
binomial random variable by generating random integers and then analyze
the policy to make a decision about the best course of action for the
airline. Submitted by Michael Prince Grade level: AP Statistics 
Writing Equations in PointSlope Form
As an alternate to pointslope form, the learner will use slopeintercept form to write the equation of a line. 
M and M s Anyone?
Just think of it, having just left Walmart and arrived home, you open your band new fresh bag of M and M s. With no kids around you spread them out on the table, eat your favorite colors first, and just enjoy! Then it hits you. . . the mathematician in you begins to ponder . . . what would happen if I spilled my bag of M and M s? Would all the M s land up or down? Is there any identifiable pattern that may exist? The joy of it all has been intercepted by your mad desire to find out the answer to this and many other questions.
First look at the shape, spread, what we may expect to see, etc, as well as the type of distribution to see if there is any recognizable pattern.
This activity explores binomial distributions.

Counting Structured Patterns
Counting problems often ask How many ways to ... These questions require that all the ways have to be identified and that no duplicates are counted. To avoid just listing all the ways (which could take a long time and be subject to inaccuracies), it is better to find an organized method that covers the ways.
Counting Structured Patterns Spreadsheets

Euler's Nine Point Circle
An activity with Euler's nine point curcle and constructions. 
CSI
stats: The Case of the Missing Cookies
An activity on Linear Regression 
Unit
Circle
Students will construct a circle with degree measures of the special
angles used in trigonometry. Then they will do the same for radian
measures of the same angles. Finally they will construct a unit circle
with (x,y) coordinates of the special angles. This organizes and keeps
all of this information in one place. 
Transformations
Students will connect graphs, tables and equations and predict how the
graph of a function should shift left, right, up, or down given a
certain change to the original equation.
Jeopardy
Power Point on Transformations 
Pile
Patterns
Represent functions in a variety of ways including tables, graphs or
diagrams, verbal descriptions, and symbolic expressions
Pile
Patterns Teacher Notes 
Search
for the Gold
Search for the Gold uses an innovative way to review material with your
students. 
GeoGebra
Applets
Click here to see several GeoGebra applets that you can use with your
class as a demonstration or in a computer lab. 
Beading
Patterns Using Reflections
Students will understand the importance of quilting in the Native
American culture, both present day and past. 
Maze
for a Grade
This activity is designed to have students compare their experimental
probabililty to the theoretical probability. 
Mixing
it Up with Conditional Probability
Students will collect their own data on the color proportions of plain
M&M’s and Skittles for this activity. 
PaperRockScissors
Explore the relationship between experimental and theoretical
probabilities by introducing the concept of a fair game. 
Cylinder
Problem 
Normal
Distributions Activity 
Sampling
Distributions Activity 
Mobius
Strip Activity 
Monty
Carlo Birthday Problem 
Classifying
Number Sets 
Using
Motion to Explore Functions 
Exploring
Volume of Prisms 