6-8, 9-12
This lesson invites students to investigate the patterns when a "plus sign" (a cross-shaped arrangement of five squares) is placed on the board in various locations. Students will conjecture about the pattern of the five displayed numbers, the sum of the five numbers, and any other patterns that they notice. Students may also explore similar patterns when other shapes, such as a 2 × 1 rectangle, are placed on the hundreds board.
9-12
In this lesson, students will learn to read an antifreeze chart to determine the necessary mix of antifreeze and water for protection against various temperatures. Students will then numerically analyze a particular cooling system to determine how much fluid to drain in order to get the desired percent concentration of antifreeze. Finally, students will set up a system of equations to solve the same system.
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.
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.
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.
3-5, 6-8, 9-12
Use this activity to practice solving systems of equations. Use this tool to check students' answers.
9-12
This applet gives a proof of completing the square "without words" using geometry.
9-12
Predict, model, and generalize conjectures about
percent concentrations.
9-12
Begin
an exploration of cryptology by first learning about two simple coding methods—
the Caesar cipher and the Vigenere cipher.
