If you want to “hook” your class on math right from the start, you may want to consider one of these real-world projects. Students deal with real data in these investigations—collecting, presenting, and analyzing their findings. As they work on the NCTM Data Analysis and Probability Standard, they apply school mathematics in contexts arising outside […]

Sometimes geoboards are left on the shelf because we don’t know what to do with them. They can be powerful tools for students to study, length, area and perimeter. (But remember to be careful with the perimeter part because the length of one unit is only measured on the horizontal or vertical, not the diagonal.) […]

Factors and their multiples are so important to students’ work with fractions and number theory. These concepts come under the National Council of Teachers of Mathematics (NCTM) Number and Operations Standard for the middle grades. The resources here are all hands-on, if only virtually. Important to their success is the classroom talk that the resources […]

Although the NCTM Standards do not have student expectations for learning mathematics history, exposure to this history can help students see real-world connections in mathematics.
Approximating Pi
Mathematics and science owe a great deal to Archimedes, including a way to approximate pi. Here is historical information along with an applet to approximate pi using the perimeter […]

Really understanding what fractions are, how they fit on the number line, and how to operate with them - add, subtract, multiply, divide - is central to learning decimals and percentages. According to the NCTM Principles and Standards, students in the middle grades should be expected to acquire a deeper understanding of fractions, decimals, and […]

Why take class time to investigate fractals? Granted, they are geometric figures and worthy of study for that reason alone. Moreover, their use in art and other areas connects mathematics to the world outside the textbook, as recommended by the NCTM Connections Standard. But a study of fractals also opens discussion of algorithm, dimension, and […]

Algebra can be hard to visualize. Learning to show relationships between symbolic expressions and their graphs opens an avenue to really seeing algebraic patterns. According to the NCTM Standards, at the middle school students move from plotting points to exploring the graphs of lines, including slope and intercept.
An Introduction to the Coordinate Plane
This is a […]

This article first appeared in Beyond Penguins and Polar Bears online magazine June 1, 2008. The article has been modified to include middle school math and science examples. All versions of this article are licensed under a Creative Commons License.
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Middle school students often need to practice basic facts. The web sites listed below get the students thinking about the operations in a problem-solving way. In the first resource, the problem can have more than one solution, challenging students to practice their skills in reasoning and proof. A possible follow-up would be to have the […]

The order of operations rules are important now in evaluating numerical expressions and later in the study of algebra. The featured resources offer explanations, examples of what goes wrong when the rules are misapplied, and problems to solve.
Amby’s Math Resources: Order of Operations
Check out this online tutorial offering a pre-test, practice exercises, and a post-test. […]