What determines whether a function has an inverse? Learners investigate that criteria when they examine values in a partially completed input-output table for two different functions. The task is to complete the table so that one of the...

Here is an activity that presents a good example of a function modeling a relationship between two quantities. John is making DVDs of his friend's favorite shows and needs to know how much to charge his friend to cover the cost of making...

Mortgages, payments, and wages correlate with each other. The short assessment presents scatter plots for young mathematicians to interpret. Class members interpret the scatter plots of price versus payment and wage versus payment for...

Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...

In this real-world problem about the rapid growth of rabbit populations, students must analyze two different scenarios and create mathematical models to represent them. They use their exponential models to answer questions about the...

Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...

This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...

Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.

Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...

Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...

In this math worksheet, students answer 6 questions regarding given limits in a table of data, properties of limits and the Squeeze Theorem.

In this worksheet, learners solve and complete 32 various types of problems. Included are problems on simplifying polynomials, factoring, graphing equations by plotting points, and simplifying expressions using the rules of...

In this quadratic equation, students find the discriminant using the formula given and identify how many solutions a quadratic function will have. There are 3 problems with answers and examples.

In this Calculus instructional activity, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves.  The forty-two page instructional activity contains one...

For this analyzing solutions worksheet, students use Euler's Method to estimate the value of given functions. They estimate solutions using the piecewise-linear function model and sketch the information onto a graph. This two-page...

In this Chapter 4 Practice Test instructional activity, students solve problems with signed numbers.  They are also asked to complete a table and graph a simple function. The bonus problem presents points to plot.

In this infinite limit learning exercise, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page learning exercise contains examples and...

In this derivative worksheet, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page worksheet contains definitions, examples and five problems,

In this chemistry instructional activity, learners calculate the amount of drug found in someones blood based on how long they have been taking the drug. There are 5 questions.

In this exponential learning exercise, students gather information from an experiment and plot the data in a scatter plot. Using given formulas, they plot an equation of a line and then compare the graphs. Students observe exponential...

Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...

The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...

Displacement is a foundational concept for physics pupils. If they are having trouble discerning it from distance, this activity can help clear things up. The first page is essentially a piece of graph paper. It has a compass rose and a...