Middle schoolers cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...

In this graphing worksheet, 9th graders read one page of graphing examples and complete 8 exercise problems. Each problem involves graphing and coordinates.

In this finding the missing units in triangles activity, students apply the Pythagorean Theorem to solve. Students solve 10 problems. 

In this Algebra I/Geometry/Algebra II activity, students simplify radicals that do not have a variable in the radicand.  The one page activity contains a combination of nine multiple choice and free response questions.  Answers...

In this calculus learning exercise, students review mnemonic rhymes to help them remember the different ratios of sine, cosine and tangent. They are funny and memorable for any grade level.

In this geometry worksheet, 10th graders are presented with a problem involving semicircles.  The diagram appears simple, though it turns out to have a many segments to be labeled with variables.  The key to solving the problem...

For this geometry worksheet, students calculate the length of the rotating stripes around a cylinder. There is an answer key with this problem.

Need a few extra examples on using the Pythagorean Theorem? Here is a lesson that uses pictures of New York City’s buildings as a model, and young architects find the height of the building. Consider adding more examples to further...

What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...

Eighth graders explore the Pythagorean Theorem.  In this middle school geometry lesson, 8th graders solve problems using the Pythagorean Theorem as they explore the definition of a theorem and attempt to determine the formula for...

Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...

In this triangles worksheet, students solve 40 problems in which Pythagoras' theorem is used to check if a triangle is right-angled. This page is intended for online use but may be completed on paper.

Eighth graders investigate the Pythagorean theorem and how it is used in geometry. Measurements for different triangles is given and then students must solve problems in order to practice using the formula.

Seventh graders relate the Pythagorean theorem to the real world. For this algebra lesson, 7th graders identify important properties of the Pythagorean theorem and use it to solve word problems. They create a step by step plan to...

In this math worksheet, students apply solving quadratic equations using word problems. They pay special attention to the units of measurement.

Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...

For this geometry skills worksheets, pupils examine 10 triangles and use the Pythagorean theorem to identity the lengths of the missing units.

Students explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.

Young scholars use the Pythagorean Theorem to solve problems. In this geometry lesson, students solve for the distances by calculating the different parts of the shape of a two and three dimensional shape. They reason by analogy.

Students are responsible for creating a border around a triangular garden spot, of which they know the measurements for two sides. They use the Pythagorean Theorem to calculate the third side and complete the garden.

Young scholars calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.

In this distance worksheet, students calculate the lengths of sides and diagonals of figures.  Students also compute lengths in shadow problems.  The solutions are provided by clicking on the "show answers" tab at the bottom of...

Students work together to make figures out of tangram squares. In groups, they calculate the measurements they need and apply the Pythagorean Theorem. They complete a worksheet solving equations using the theorem and review their answers.

Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.