In this video tutorial lesson, the term "reflection" is defined and examples are given to show a reflection when graphing. [3:22] Take assessment to check understanding.

In this video tutorial [4:47], determine what translation is, and the difference between transformation and translation. Take quiz to check for understanding.

Solve a number riddle by finding the point of intersection for two lines. This video focuses on finding the solution for a system of equations, they are represented as an algebraic expression and a set of linear equations that are graphed to find an intersection point.

Graph an exponential function on a coordinate plane using a table. Assess learning with a quiz. [6:44]

This lesson plan helps students understand how to graph ordered pairs on the coordinate plane. Lots of resources are available to teachers and students at this website.

Students are introduced to different ways of displaying visual spectra, including colored "barcode" spectra, like those produced by a diffraction grating, and line plots displaying intensity versus color, or wavelength. Students learn that a diffraction grating acts like a prism, bending light into its component colors.

This is designed for Algebra 2 students to help them develop an understanding of transformations, asymptotes, domain and range.

In a multi-week experiment, student groups gather data from the photobioreactors that they build to investigate growth conditions that make algae thrive best. Using plastic soda bottles, pond water and fish tank aerators, they vary the amount of carbon dioxide (or nutrients or sunlight, as an extension) available to the microalgae. They compare growth in aerated vs. non-aerated conditions. They measure growth by comparing the color of their algae cultures in the bottles to a color indicator scale. Then they graph and analyze the collected data to see which had the fastest growth. Students learn how plants biorecycle carbon dioxide into organic carbon (part of the carbon cycle) and how engineers apply their understanding of this process to maximize biofuel production.

Get independent practice identifying points, graphing points and equations on the coordinate plane. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.

Kindergartners measure each other's height using large building blocks, then visit a 2nd and a 4th grade class to measure those students. They can also measure adults in the school community. Results are displayed in age-appropriate bar graphs (paper cut-outs of miniature building blocks glued on paper to form a bar graph) comparing the different age groups. The activities that comprise this lesson help students develop the concepts and vocabulary to describe, in a non-ambiguous way, how height changes as children get older. The introduction to graphing provides an important foundation for both creating and interpreting graphs in future years.

Students participate as a class in this activity using their desks as points on the coordinate plane. The teacher leads them in the activity, increasing their understanding of the characteristics of the coordinate plane.

Gait analysis is the study of human motion that can be utilized as biometric information or identification, for medical diagnostics or for comparative biomechanics. In this activity, students observe walking human subjects and then discuss parameters that could be used to characterize walking gaits. They use accelerometers to collect and graph acceleration vs. time data that can help in gait analysis—all part of practicing the engineering data analysis process. Students complete this activity before learning the material presented in the associated lesson.

Choose from a variety of creative problems (tasks) to teach how to create equations in two or more variables to represent relationships between quantities and graph equations on coordinate axes with labels and scales. Explanations and solutions are provided.

This site compares the graphs of three quadratic functions, and explains how certain characteristics of the graph relate to properties of the equations and their solutions. Contains practice problems, including real-world examples.

This article discusses how the study of weather can meet the NCTM Data Analysis and Probability standard. Links to lessons for grades K-2 and 3-5 are provided.

Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type of function.

A description of the complex plane is given with examples of how to plot complex numbers. Also included is an explanation of how to add complex numbers graphically.

A brief overview of three methods used to graph lines is presented through examples. Slope-intercept, point-slope, and intercept form are demonstrated step-by-step along with a review of the formula for finding the slope of a line.

Using modeling, the world of quadratics is explored. Learn how to solve quadratics using methods of factoring, completing the square, and the quadratic formula. Also included are methods for graphing quadratic functions.