Let's save some money! High schoolers investigate different options for price reductions. They then determine the best and worst sale from a list of options.

Express dance moves mathematically. Scholars dissect dance routines and express them using mathematical notation, such as translations and rotations. They use video clips to investigate seven different dance genres.

Controlling the efficiency of a greenhouse is a mathematical task. A collaborative project challenges learners to create an efficiency plan for a closed greenhouse. Using algebraic equations, they consider a set of constraints, design...

The story of one bird provides valuable insight into general animal behaviors and interactions. Young researchers investigate the peregrine falcon using a web search. They analyze the behaviors of the raptor including its migration...

Investigate the meaning of a sample proportion using this hands-on activity. Scholars collect data and realize that the larger the sample size the more closely the data resembles a normal distribution. They compare the sample proportion...

In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...

Young environmentally conscious mathematicians solve a variety of problems related to the central theme of uncovering illegal logging activities. They determine a base camp based on given constraints, investigate logging activities and...

Making inferences isn't an exact science. Using data about salaries, learners investigate the accuracy of their inferences. Their analyses includes simulations and randomization tests as well as population means.

A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...

Do speed cameras help reduce accidents? Scholars investigate this question using a series of spreadsheet activities. Along the way, they learn about randomness, probability, and statistical analysis.

Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...

A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...

You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...

Third graders investigate environmental stability through consumption and recycling. They look into how much of a recyclable good it takes to create one new product. Pupils compile a list of these quantities, then create posters that are...

Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...

Conduct an investigation on the plants used by the Hohokam tribe. To survive in the harsh desert environment the Hohokam used many natural resources. Learners read, research, map, and graph multiple aspects of Hohokam plant use as a...

Students research a province of Canada choosing a question to investigate. They record their information on a worksheet that is provided and complete a graph. They present their bar graphs to the class.

students investigate the concept of using a ratio in the work of construction and solve problems using real life applications. They read descriptions of how various types of construction professionals use ratios on the job. The lesson...

Young geometers investigate and apply properties of quadrilaterals.  After a review and discussion of key terms, learners use a computer applet to explore four-sided figures and classify them according to their attributes. The...

Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....

Investigate how public key cryptography works. Scholars continue their study of one-way functions and asymmetric keys and apply this information to public key cryptography. They use an app to explore public key cryptography and its...

Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.

Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...

Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...