Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...

Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...

Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...

As you introduce graphs to young scholars, use this coordinate pairs activity to give them some independent practice. Learners examine 12 points on a graph, all of which are in the first quadrant (and therefore positive). They write the...

Relations, and functions, and line tests, oh my! An instructional slideshow demonstrates the definitions of a relation, a function, and the domain and range of a relation. Viewers then learn how to use mappings and vertical...

Basketball and math go hand in hand, even before one considers creating statistics. Viewers see a basketball player attempt multiple shots, but they do not see whether it goes in. They solve for which shots earned points as well as which...

Scientists discovered the first exoplanet in 1995 and by early 2018, they confirmed the existence of more than 3,700—that's a lot of data! As part of the PBS 9-12 Space series, scholars interpret data about exoplanets. They compare...

Create a Height-Time plot of a bouncing ball using a graphing calculator. Graph height as a function of time and identify the vertex form of a quadratic equation that is generated to describe the ball's motion. Finally, answer questions...

What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....

A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations. 

Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...

It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...

There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...

Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear...

Not everything that's one-sided is bad. A slider interactive aids learners in investigating one-sided limits from graphs. A set of challenge questions assesses their understanding of the relationship between one- and two-sided limits.

Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...

Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might...

A six-page evaluation covers material included in algebra, geometry, and algebra II. Applied word problems are mixed in with short answer questions. It also provides questions on mathematical reasoning.

Introduces your class to random processes in networks with an activity that uses information about disease spread using the susceptible, infectious, resistant (SIR) model. Participants determine whether a susceptible person becomes...

How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...

Motivate young conservationists to stand up and make a change. After learning about the efforts in Cascade Nation Park to reduce carbon emissions in order to preserve the wilderness, students work in groups creating action plans for...

Blow the minds of young scientists with this collection of inquiry-based investigations. Based on a series of eight videos, these "hands-on, minds-on" science lessons engage young learners in exploring a wide range of topics...

Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

What exactly is a visual representation? Scholars use a think-pair-share to answer questions and record their information on anchor charts. Next, they use what they've learned to create visual representations of their position papers on...