Students complete a lab that introduce the scientific concept of climate on Earth. Following the lab, they complete further research on climate. Using average monthly temperatures students construct a mathematical model and analyze the...

In this mathematics worksheet, learners solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...

In this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.

In this math worksheet, students discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.

Learners explore the various uses of the logistic function. Students use the internet to collect world population data and find a logistic model for their data and use their chosen model to predict future populations.

Explore lines tangent to a circle. In this math lesson, high schoolers manipulate circles and lines on a TI calculator. They draw a circle  and analyze perpendicular lines intersecting the circle in only one place. This activity...

Most young mathematicians are aware that the planets don’t orbit the sun in a circle but rather as an ellipse, but have never studied this interesting feature. This resource looks at the planetary orbits in more detail and helps learners...

Real-world application of the finite geometric series. Sick? Need to take Ampicillin? How much is in the body at any given point in time as this medication is taken over the course of time. Use the formulas, make calculation, and graph...

In this extrema and optimization instructional activity, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page...

Learners engage in a lesson that is concerned with the concepts of absolute value and symmetry. They define the meaning of absolute value and graph functions and study the corresponding line and its symmetry. The lesson includes calculus...

Young scholars define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...

Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard instructional activity, students collect data in order to solve the apple orchard problem...

Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...

In this calculus worksheet, students solve functions by using the derivatives. The calculate the maximum and minimum of each function presented. There are 28 questions.

Twelfth graders problem solve limit/function value situations. They solve the problems using a graphing calculator, which allows them to see the function's graph, and infer the function value and limit from the graph.

In this Algebra II/Pre-Calculus worksheet, students determine the points of inflections for various functions and use the answers to complete a riddle.  The one page worksheet contains seven problems.  Answers are included. 

Students collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.

In this calculus activity, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.

In this precalculus worksheet, 12th graders find the solutions to the parametric equations and practice with the help of a graphing calculator.

In this algebra activity, students solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5 problems.

High schoolers explore an application of definite integrals. They graph three functions that go through the same three points. Learners use the symbolic capacity of their calculators to find the shortest path through the three points and...

Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus instructional activity. They investigate the cost of a new car by calculating depreciation and payments.

Students investigate the acceleration of a car.  In this acceleration of a car lesson, students make a scatter plot of corvette acceleration data.  Students find a model to fit the data by taking the integral of the curve...

Students calculate the maximum and minimum of each function. In this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.