This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...

Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...

There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not...

Now you'll never have trouble cutting a cake evenly again. Here is a set of five problems all about partitioning shapes into a given number of pieces and identifying the fractional amount of each piece. As learners progress through the...

In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...

What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...

Packed with visual aids and multiple learning opportunities, an engaging exercise challenges individuals as they explore the role of producers, consumers, and decomposers. After discussing differences between food chains, food...

These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...

Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.

Tired of simple sentences? Bored by brief sentences? Plagued by boring sentences? Enrich your life and the writing of your pupils by modeling how to combine sentences to create more varied syntax. Groups then find a number of ways to...

This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...

Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...

Abracadabra! Provide your class with the tools to perform a chemical "magic show" as they predict the charges of various ions, determine ionic compound formulas, and make observations to determine when a chemical reaction between...

Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than...

Create lists within lists. The second lab in a series of five in the unit has pupils develop a simple contact list app. The tasks within the lab build the need for an abstract data type. Individuals build more complexity into their...

Parentheses are an important tool in the algebraic toolbox in regard to the structure of the algebraic equation. They are the beginning of the standard order of operations rule, the P in PEMDAS. The central question...

A great hands-on activity involving adding and subtracting, beginner mathematicians determine how many games can be played with 20 tickets. Instead of tickets, youngsters use 20 counters or linking cubes to represent the amount of...

Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...

Here's a 15-page packet packed with ideas for warm-up activities that can be used for drama classes or in content courses. Each activity is coded to indicate materials needed, space requirements and appropriate audience. A great...

The spacecraft is drifting too far off course! Two games help explain how a spacecraft can use its thrusters to maintain its position. The games have pupils be the components of vectors in order to create and counteract the...

Simulate the Situation Room and analyze the US's relationship with North Korea. The plan starts off with a quick review and an examination of a online timeline that updates as the situation continues. Next, the class reads an article and...

Young geologists piece together the puzzle of plate tectonics in an earth science lesson. Given a physical map of the world, they search for land formations that indicate the location of different types of plate boundaries.

Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...

Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...