Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...

These dragons work as math machines as scholars multiply numbers using given functions, which remain the same for these: double it. Using an example as their guide, learners double three whole numbers, none of which exceed 11, for each...

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...

Graph quadratic functions and find the zero in this worksheet. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...

Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...

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.

Your transformers will create and analyze graphs to discover which operations produce which transformations. Linear and exponential functions are used to model the transformations.

In this radical expressions worksheet, 11th graders solve and complete 55 various types of problems. First, they find the function value in each expression. Then, students simplify, assuming that variables represent real numbers. In...

In this connecting dots worksheet, students solve a word problem involving connecting dots using a continuous line. Students complete 1 complicated higher order thinking problem.

Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...

Model a bicycle chain with circles and tangent lines. Given the dimensions of the sprocket wheels, young scholars calculate the length of the chain that surrounds them. A second task has learners write a function for the length of a...

Young mathematicians put one foot in front of the other as they learn how to measure length in an elementary math lesson. Using paper cutouts of their own feet, children measure classroom objects as they discover the importance of...

In this graphing calculator worksheet for the TI-83 calculator, middle schoolers first observe a demonstration for calculating negative numbers. Next, students use their graphing calculator to answer 6 thoughtful T/F and short answer...

You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...

Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The activity then provides an exercise set for learners to...

Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...

Two-variable equations can express a constant rate situation. The lesson presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The resource...

Create tables of solutions of linear equations. A lesson plan has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph. 

In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...

For this graphs and equations worksheet, learners solve and complete 5 various types of problems. First, they complete a table of values for a given quadratic function. Then, students use the graph to find an estimate for the solutions...

For this rational equations worksheet, students solve 20 rational equations.  Students find the zeros of rational functions and solve rational equations.

Your young fishermen learn about exponential function growth by interpreting the pieces of the given equation within the context of numbers of fish in a lake.

Candy is always a good motivator! Use this collection of M&M's® experiments to introduce statistics topics, including mean, standard deviation, nonlinear transformation, and many more. The use of a hands-on model with...

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...