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.
3-5
Use this applet to determine the volume of a box by filling it with cubes, rows of cubes, or layers of cubes. Determine the surface area as well by using the box's net.
6-8
In this lesson, students construct the 12 pentomino figures then utilize them to explore area and perimeter. By the end of the lesson students will be able to identify those constructions that are pentominoes and those that aren't. Students will also be able to calculate area and perimeter of pentomino combinations.
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.
3-5, 6-8
Exercise your factoring ability against a human or the computer in this Calculation Nation game.
3-5
Using an area tool on the computer, students will begin to develop an understanding of area. Students will use 12" × 12" paper squares to measure the area of a door. They will determine whether area increases or decreases as the length or width of their door changes.
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.
