The longer you wait to try the new pizza place, the more it's going to cost you! This real-world problem about how the cost of pizza varies with respect to time is a good example of how piecewise functions are used to describe...

Your statisticians draw several samplings from the same data set, some randomized and some not, and consider the distribution of the sample means of the two different types of samplings. The exercise demonstrates that non-random samples...

Fourth-grade writers applaud their historical narrative writing pieces through a Writer's Gallery. First, they read an assigned classmate's work and leave a positive comment on a sticky note. Once learners have read a couple of people's...

Electricity is the focus of this college-level midterm exam. It requres physics learners to answer multiple choice and short answer questions in addition to evaluating several diagrams and graphs. This is appropriate for most high school...

The task at hand is to partition a hexagon into two, four, and eight congruent figures. Make sure to give your wizards a sheet of triangle grid paper on which to decompose the hexagons. Have them explain which rotations, reflections, or...

Develop a formula based upon numerical computations. The 31st part of a 33-part unit has the class determine the formula to convert a temperature in Celsius to a temperature in Fahrenheit. They do this by making comparisons between the...

Jump at the chance to use parabolas. Young mathematicians apply trigonometry to explore the trajectory of a ball in different situations. Some walls cause the ball to bounce, so participants must consider all possibilities.

Three branches of government help create a system of checks and balances. A helpful resource provides a series of articles regarding the balance of power between the legislative and executive branches of government. Historians answer...

Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider...

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...

This is a good Common Core question that relates inflation to operations with decimals and rounding. Young learners are asked to find out if an amount of money can purchase the same amount of movie tickets in 2012 as it did in 1987. They...

Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...

Here is another opportunity for math young scholars to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given...

How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...

In the eyes of children the world is a simple place, objects are either big or small. This simple activity aims to expand the comparison language of young mathematicians as they use the words taller and shorter to compare their...

Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.

Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation. 

Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)

Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.

Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the...

Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.

Your geometry learners are guided by questions that help them use the language of reflections to explain the Side-Angle-Side congruence between two triangles in this collaborative task. Given a sample solution, declaring the...

Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...

Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...