Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...

Factors, zeros, and solutions, oh my! Don't let your classes become overwhelmed with the vocabulary. An engaging lesson helps learners make a connection between factors, zeros, and solutions. Pupils explore the relationship between the...

Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.

Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...

If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...

Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.

Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function. 

Your algebra learners will make use of structure and manipulate expressions involving function notation using the definition of odd and even functions. They then advance even further to analyze the structure in a system of two equations.

Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...

Looking for an excellent lesson that incorporates math, science, and technology? Groups of three learners use a viewing tube to perform an experiment, and discover how to organize their data into an Excel spreadsheet.  This is a...

The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...

Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...

Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...

Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.

Your learners analyze the familiar model of a cold beverage warming when it is taken out of the refrigerator. The general form of the equation and its graph are presented. Learners learn about the specific pieces of the function by...

Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.

A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...

Provide a real world context in which exponential functions are used to determine a eal world phenomena such as compound interest and exponential growth. This lesson should be taught after students have mastered the laws of exponents and...

In this radical expressions worksheet, students find the function value of given functions. They identify the domain of functions. Students write functions without fractional exponents. This three-page worksheet contains 55 problems.

Use this complete and very detailed lesson plan to assess your students' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...

Your river sportsmen will explore an example of paddling upstream as they build functions modeling speed and time in terms of the speed of the current. They then use their algebraic models to interpret features of the function related to...

High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...

Show learners how to develop a procedure for solving equations using radicals with the fifth lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...

From derivatives to antiderivatives and back again. Building on the second instructional activity of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of...