In this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph.  The four page worksheet contains seventy-two problems. ...

How long does it take alcohol to leave your system? Individuals explore this question by examining a polynomial function. They draw conclusions by analyzing the key features of the given polynomial function.

Students differentiate between linear and quadratic functions. In this algebra instructional activity, students write equations of graphs and graph a function from an equation. They also move the graph around on the coordinate...

Students investigate and interpret functions and graphs. In this algebra lesson plan, students analyze equations, graphs and word problems to differentiate between quadratic functions and linear equations. They create a...

Students produce an equation from a graph, based on an engineering-context story provided. In this production of equations lesson plan, students write an equation given the graph and description. Students also describe what the...

Compose and decompose sets of 13 and 14 and compare sets of each with your little learners. They use objects to construct sets of 13 and 14, record their answers, and compare sets in several different ways.

Make your lesson on radioactive decay pop with this lab exercise. Using popcorn kernels spread over a tabletop, participants pick up all of those that point toward the back of the room, that is, those that represent decayed atoms. As the...

Students explore and derive functions. In this calculus instructional activity, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.

In this inverse of function learning exercise, 10th graders solve and graph 10 different problems that include graphically represented inverse functions. First, they solve each of the problems involving graphs and their inverses. Then,...

In this trigonometry worksheet, students solve trigonometric equations, prove trigonometric identities, and graph trigonometric functions. The four page worksheet contains sixteen questions. Answers are not...

In this Algebra II/Trigonometry worksheet, students solve problems involving angle of depression or elevation, evaluate trigonometric expressions, solve trigonometric equations, and graph trigonometric functions. The one page worksheet...

In this functions instructional activity, students determine whether a correspondence is a function. They graph given functions. Students examine graphs and identify functions. This two-page instructional activity contains 22 problems.

Seventh graders explore linear equations.  In this graphing lesson, 7th graders explore constant rates of change.  Students discover the real-life application of graphs and demonstrate their ability to read graphs and write...

One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...

Your knowledge of graphs is a function of how much you try. Young mathematicians work on a set of 12 questions that covers graphing functions, comparing functions, and rewriting functions in different forms to determine key features....

Read between the curves ... quadratic curves! Young scholars analyze the graphs of two quadratic functions by writing their own function whose outputs are between the two given. They then consider intersecting quadratic functions and...

Represent the ups and downs of a bank account. The two-part task points out that some types of graphs may better show discrete functions than others. Pupils analyze a graph on how well it represents the situation. They develop their own...

Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...

Take the road to a greater knowledge of functions. Young mathematicians graph an absolute value function representing a road connecting several towns. Given a description, they identify the locations of the towns on the graph.

Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through...

Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.

Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how...

Verify the rule of thumb for finding the time of death. The project-based learning task asks pupils to determine when the rule of thumb process of finding the time of death is appropriate. Learners develop a function for the rule and...

Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...