Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one...

In this math worksheet, learners answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.

Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense...

Quiz your middle and high schoolers on solving exponential growth and decay. First, they evaluate for a variable given the second variables value. Then, they graph an equation that illustrates the exponential growth or exponential decay...

Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...

Geometric transformations in algebra ... what? Given four transformations, the narrator explains how each affect the graph of the original function. The transformations involve translations and reflections, both horizontally and...

A bouncing ball serves as more than entertainment when learning to apply quadratic functions to real-world events. This is the second of a two-part lesson, which can also be accessed from the website. The instructions say to measure the...

Quadratics only have three terms, but each one is fairly important. Scholars use an interactive to explore how each coefficient affects the graph of a quadratic function. They also see how changes to the vertex form and how changes to...

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...

Study transformations and combinations with your advanced math class. They solve four graphing problems by graphing the transformations of a parent graph. They determine the equations to represent the given transformations of a parent...

Using a TI-Nspire calculator, learners will work to better understand function notation and input/output functions. They write equations with a function symbols, identify what makes an equation a function, and graph lines in order to...

This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....

Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...

Hammer away at building different types of functions. An engaging instructional activity builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write...

Increasingly, colleges and employers want applicants with strong conceptual analysis skills, so give them some practice! Applying these skills to position-time graphs encourages synthesis of knowledge. To complete an installment of a...

Using rates from a rental car company, young mathematicians graph data, explore linear relationships, and discuss the role of slope and the y-intercept. This lesson allows for the discussion of independent and dependent variables, as...

Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...

Connect the dots on trigonometry with K'nex. Scholars use a K'nex model of a Ferris wheel to collect data points to plot on a height versus time graph. They'll then consider what type of function best models the data in the graph—and...

Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...

In this number sense and operations worksheet, learners solve 15 different types of problems that include reading number lines and solving inequalities. First, they write the scientific notation of various numbers given. Then, pupils...

Learners explore scatter plots. In this linear regression lesson, groups of pupils graph scatter plots and then find the line of best fit. They identify outliers and explain the correlation. Each group summarizes and shares their...

Math and science come alive in this career-related lesson on sanitation. Along the way, learners explore bacterial growth rates using exponential notation and graphs. A link to a very brief, but vivid video shows just how quickly these...