Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...

Convey your interest in conveyor belts. By considering different size tubes, groups create a conveyor belt that can transport boxes of candy at least four feet. Also, the conveyor belt must make a 90-degree turn—quite a difficult task!

Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...

What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...

The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...

Challenge classes to think deeply and apply their understanding of polynomials. The assessment prompts learners to use polynomial functions to model different situations and use them to make predictions and conclusions.

In this volumes of solids worksheet, students determine the volume of a solid of revolution by using the disk/washer method or the shell method. Explanations and examples are given prior to the exercise. This one-page worksheet contains...

In what ways can you transform a graph? An engaging video answers this question as it covers reflections, translations, and stretches of graphs. To test their knowledge, individuals complete a set of problems to apply this knowledge.

This very thorough lesson plan has students collect all ingredients necessary and work in pairs to make ice cream using plastic bags. They take temperature readings and record them on the chart as well as record findings on the...

In this vector worksheet students find the geometric interpretation of the change in a vector. They identify vector fields for specified functions. This two-page worksheet contains five multi-step problems.

In this math worksheet, students draw a graph of functions on a polar graphing system. They graph two functions by first plotting them on the vertical axis as a function of a given angle, then by plotting them at a radial distance from...

In this geometry worksheet, students plot coordinate pairs and connect the points to create different shapes. They give th shapes its polygon's name. They differentiate between simple functions and rectangular hyperbola.

In this acids, bases and buffers learning exercise, learners define terms, solve problems such as calculating the pH of solutions and the molarity of solutions and they write balanced equations of neutralization reactions.

Students work in pairs to test the strength of spaghetti strands. They collect and graph data to determine a line of best fit. Students create a linear equation to interpret their data. Based on the data collected, students predict...

In this functions worksheet, students solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students write...

Learners observe and measure seed germination. In this life science lesson, students use 'tanks' to observe a set of seeds as they germinate and begin growing, make predictions, and record their data. Lesson includes background teacher...

In this wind activity, learners construct a wind speed and direction indicator. They calibrate it using a Beaufort wind scale and take at least five observations/measurements in the school yard. They answer questions about their results.

Students design recreational equipment for a community. In this architecture lesson, students work in pairs to design the equipment. Students select materials and begin designing. Students assess themselves with a pre-made rubric.

Students investigate special triangles and circles. In this geometry lesson, students construct a perpendicular bisector and discuss angles of a triangle. They find the angle bisectors, vetex and the types of circle constructed.

In this sun worksheet, students use a Sunspotter to observe the rotation of the sun by identifying the presence of sunspots and watching them rotate over time. Students calculate how many days it takes to see the sunspots they observe in...

In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.

Students determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.

In this economics principles worksheet, students use their problem solving skills to respond to 8 questions about supply and demand.

In this math worksheet, students find the solutions to the differential equations. Then they graph the solution and show if they are perpendicular.