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.
6-8, 9-12
In this lesson, students will adapt expressions that add or subtract two signed integers.
9-12
This interactive demonstrates why (
a +
b)
2 = a
2 +2ab + b
2.
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.
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.
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.
9-12
Use this applet to show how to drop a perpendicular from a point onto a line.
9-12
Use this applet to show how the placement of the third vertex of a triangle affects the classification of that triangle.
9-12
Use this tool to demonstrate how to draw a perpendicular bisector.
9-12
Use this tool to explore how the Simson line of a triangle is related to the orthocenter.
