In this algebra worksheet, students rewrite word problems using algebraic symbols and solve for the related rates. There are 10 word problems involving derivatives and rates.

An engaging, and not to mention attractive, lesson plan has prealgebra and beginning algebra scholars examining linear relationships. They consider the rising water level as a swimming pool is being filled. They do so by charting and...

Are average college tuition and fees really rising in the United States? Here is a fascinating take on the rising cost of college tuition and how price discrimination may explain what is often seen as an insurmountable cost for...

In this rates worksheet, students read story problems, determine the necessary information, and set up equations to determine the velocity and rates. This two-page worksheet contains two multi-step story problems.

In this word problems worksheet, students solve twelve related rates word problems. Knowledge of geometry is necessary to complete these problems.

The class takes a trip about the school and find four places to measure the rise and run of objects that represent slope in the building. Pairs work together to calculate the slope of each object and determine whether any ramp they find...

What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...

Your young microbiologists will interpret and solve exponential equations in this real-world context task set in a hospital research scenario. Learners think in terms of the functions as well as their rates of change. 

Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...

Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...

There are zero reasons not to learn about zero coupon bonds. Given information about the interest rate and closing price of a zero coupon bond, future investors determine the purchase price of the bond. They then consider the...

A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...

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...

Submerge yourself in the study of slope. Scholars investigate a situation involving slope and the rate of change of a submarine. An additional example further explores the concept of slope by changing one of the conditions of the submarine.

Financial literacy skills and exponential models are connected by the compound interest formula in this task centered on inflation calculations. Collaborative learners get experience collecting data from the given websites and exploring...

In order to review calculus skills, mathematicians read story problems regarding area, change of rate, volume, and distance. They determine rates per minute, per second, and miles per hour from given information. This two-page...

In this calculus worksheet, students simplify integrals and solve problems that involve related rates and maximum and minimums.  The one page worksheet contains twenty-three problems.  Solutions are not provided. 

Middle schoolers use a computer to complete activitites about slope. They find the slope of mountains, roofs, and stairs using rise over run. Pupils are shown different types of slopes and have to identify if the slope is positive,...

Students explore outcomes from the conversion of fractions to decimals in stock market quotes and explore fluctuating interest rates using an amortization calculator.

In this algebra worksheet, 11th graders describe correlation between the different data. They describe the situation that is not a casual relationship. There is and answer key to this problem.

Going on up—and up and up! An open-ended task asks learners to model the movement of an amusement ride with parametric equations. They then analyze their equations to determine how the shadow of the ride's car moves as it rises at a...

High schoolers calculate cubic feet of water and rate of flow, given the formulas for volume, rate of flow and specific dimensions. Students use symbolic forms to represent and analyze mathematical situations and structures. High...

Tuition costs are always on the rise. Help your classes quantify this change using real tuition data. Future college scholars analyze data from 2012 and compare it to current tuition rates with a graphical analysis.

Students define the slope of a line as rate of change. They investigate positive, negative, zero, or undefined slope using a graphing calculator. They determine the slope of a line when given the equation of the line.