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### Elevator Arithmetic

6-8, 9-12

Students will use vertical movement of an elevator to evaluate signed number expressions.

The idea behind the method of adding and subtracting signed integers offered in this lesson and the next is that the number of rules that students have to *memorize* and the amount of *understanding* are minimal, while the underlying concepts are not trivialized.

### Exploring Equations Further

9-12

Starting from the concrete notion of weights and balance and moving to symbolic expressions and representations of functions, this i-Math investigation has focused on some of the issues that arise along the way. In this part, this connection is extended to functions. More sophisticated tools allow for a greater diversity of investigations.### Flipping for Integers

6-8, 9-12

In this lesson, students will adapt expressions that add or subtract two signed integers.### A Geometric Investigation of (*a* + *b*)^{2}

9-12

This interactive demonstrates why (*a*+

*b*)

^{2}

^{}= a

^{2}+2ab + b

^{2}.

### The Brew Master

9-12

Students develop a delicious new drink by mixing various concentrations of a two-fold dilution series. Students calculate the percents of their mixtures, taste these differences, and visually observe their results.### Walk to the Movies

6-8, 9-12

In this lesson students measure their speed walking in a hallway and predicting how long it takes them to get to the local movie theater 3 miles away. This is an open-ended problem in which students must develop a strategy on how to collect the data, how to convert the data to MPH, and finally make a prediction. In addition to reasoning skills, students will practice unit conversion, prediction, proportions, and graphing.### What's the Function?

9-12

This activity allows students to look for functions within a given set of data. After analyzing the data, students should be able to determine what type of function best represents the data.### IGD: Dropping a Perpendicular Line

9-12

Use this applet to show how to drop a perpendicular from a point onto a line.### Triangle Classification

9-12

Use this applet to show how the placement of the third vertex of a triangle affects the classification of that triangle.### IGD: Perpendicular Bisector

9-12

Use this tool to demonstrate how to draw a perpendicular bisector.