In this limit learning exercise, students find the interval values of given functions. They identify constants, and plot graphs. This three-page learning exercise contains approximately 20 problems.

A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...

Root for young mathematicians learning about functions. A set of two problems assesses understanding of polynomial functions and their roots. Scholars select values for a, b, and c, and then create two functions that meet given...

Create polynomials with specific values. The task consists of writing three polynomial functions that evaluate to specific values for any given number. Scholars first find a polynomial that evaluates to one for a given value, then a...

Use geometric patterns to teach your class how to write functions. The assessment task has scholars consider a pattern of dots to draw the next picture of the pattern. Pupils then analyze the pattern, which helps them develop a function...

Bothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.

There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...

How much do you spend on healthcare each year? Data shows the expenditures in the US rise significantly each year. Young scholars use the data to calculate a rate of change over a 30-year period and look for—as well as provide— possible...

In this math worksheet, students find the domain and range of trigonometric functions. They estimate the limit of a given function. Students identify three statements about one to one functions as true or false. They solve for k in two...

In this math worksheet, students analyze two vector fields. They tell which of the vector fields is the scaler field for the given function. Students draw solution curves to match the differential equations represented in the illustrations.

In this math worksheet, students compute the quotient of two differential amounts. They compute the trigonometric functions of a given variable. Students compute the derivatives of three functions.

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. ...

What is "viral marketing" and how does it relate to mathematics? Young mathematicians use exponential functions to develop a mathematical model for a business advertising campaign. Learners then see how their campaigns increase...

Investigation of a nomograph teaches young scholars to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Young scholars make...

In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.

In this function worksheet, students are given 6 short-answer problems regarding formulas vs. functions, graphing functions and different ways to view functions.

In this derivatives worksheet, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This worksheet includes five short...

For this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...

In this special functions worksheet, 11th graders solve and complete 11 different problems that include various special functions. First, they find the value of each function given the variable. Then, students identify each function as...

In this trigonometric functions worksheet, students solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. Students graph inverse trigonometric functions.

In this using function tables to problem solve worksheet, learners interpret and complete function tables to solve problems. Students solve six word problems.

In this calculus worksheet, learners factor differential expressions and evaluate functions. They define whether two functions are equal. there are 7 questions.

In this partial derivatives activity, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four...

In this calculus learning exercise, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.