After determining the volume of various drinking glasses , class members evaluate sample responses to the same task to identify errors in reasoning.

High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...

Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...

Provide your young scholars with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an...

Looking for help in introducing integration by substitution to your calculus young scholars?  Here is a lesson plan that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives,...

In this measurement lesson, learners examine the Pythagorean Theorem, perimeter, and areas of right triangles. They record their measurements and research their findings on a grid.

Learners apply their math skills to develop an accurate estimate of the height of a tall tree. Three different methods are outlined. All grade levels should be able to perform the shadow method and the proportional method.

In this algebra instructional activity, 11th graders calculate how many different choices they can create making their icy. The have a choice of 26 different flavors of ice and 5 different flavors of ice cream. There is a solution to...

In this angles worksheet, students utilize trigonometry to determine angles of elevation and depression. There are 7 questions and some contain pictures.

Young scholars collect data on the time of the ferry. In this algebra instructional activity, students use the data to predict a ferry schedule. They also compute the depth where oxygen would be needed when diving.

Students determine whether a hit baseball is a home run or not by utilizing parametric equations to describe the path of the ball. They assess the importance of angles and velocity needed to hit a home run. In addition, in their own...

Students discover the mathematical way to find the dimensions of a diagonal. Using this process, they complete a worksheet in which they identify the relationships between different degree triangles. They review their answers and are...

Students explore the making of circles and concepts related to them in geometry. The project is inquiry based will focus upon students making their own nametags. The construction is ideal for hands on students.

Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...

A collection of lessons and practice exercises on trigonometric ratios. Students will learn how to solve for an angle and for a side, and to apply trigonometry in setting up and solving word problems.

[Free Registration/Login may be required to access all resource tools.] This concept teaches students to use inverse trigonometric ratios to solve for missing angles in right triangles.

This resource clearly and thoroughly explains the many types of trigonometric identities. There are example problems solved, problems for the student to attempt, and answers to the student problems.

Faced with a large number of trigonometric identities, students tend to try to memorize them all. This site the emphasis is on understanding how the functions work and on memorizing only about a half dozen of them - all the others work...

An "identity" is a tautology, an equation or statement that is always true, no matter what. Proving an identity is very different in concept from solving an equation. This resource demonstrates some useful techniques for proving...

[Free Registration/Login may be required to access all resource tools.] Use the inverse trigonometric ratios.

The purpose of this task is to use the Pythagorean Theorem to establish a fundamental trigonometric identity for an acute angle. The reasoning behind this identity is then applied to calculate a cosine for a given obtuse angle. Aligns...

Hotmath provides 24 practice problems relating to trigonometric functions. Each of the practice problems include a step-by-step guide for solving their function.

n this section we will discuss solving trig equations when the answer will (generally) require the use of a calculator (i.e. they aren't one of the standard angles). Note however, the process used here is identical to that for when the...

Learn about arcsine, arccosine, and arctangent, and how they can be used to solve for a missing angle in right triangles.