The way you use statistics can tell different stories about the same set of data. Here, learners use sets of data to determine which person sends the most text messages. They use random sampling to collect their data and calculate a...

The task? Determine the how effective hospitals are at reducing the rate of hospital-acquired infections. The method? Data analysis! Using an open source software program, individuals use provided data and create scatterplots to look for...

Build upon and stack up data to get the complete picture. Using the applet, pupils build bar graphs. As the bar graph builds, the interactive graphically displays the mean, median, and mode. Learners finish by exploring the changes in...

Students review how to graph parabolas. They practice graphing two different parabolas using the vertex and table method. They solve problems related to graphing circles, determining the radius and the center.

Students graph families of equivalent fractions and compare them by observing the slope of the line formed by each fraction family. They place fractions in ascending order by comparing the slopes of each line after several families of...

High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...

High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Young scholars repeat the process using different exponential functions using a slider.

The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula. 

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. 

Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is...

Model the difference between the graphs of discrete and continuous functions. Scholars examine two scenarios and construct graphs to model the situation. They then compare their graphs that illustrate the subtle difference between these...

Examine and compare a linear and step function. The task provides two scenarios, one modeled by a linear function and the other a step function. Pupils create a graph for each and explain how each compares to the other.

Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...

Turn up the heat! Young mathematicians develop models to represent different climates and collect temperature data. They analyze the data with regression and residual applications. Using that information, they make conclusions about...

We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...

Learners explore logic and use Geometer’s Sketchpad and patterns of logic to solve a puzzle.

It takes a lot of planning to achieve a random result! Learners compare results of random assignment, and conclude that random assignment allows results to be attributed to chance. They also realize the set of random means...

The 10th lesson in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and another...

Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...

Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...

In this aircraft avionics worksheet, science fans read about the first unmanned air vehicle that collects data about the Earth and is subject to damage by cosmic ray showers. Pupils analyze two graphs of data showing the neutron flux vs....

It's not just any circle—it's the unit circle. The fourth activity in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit circle and how...

Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...

Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...