Eighth graders explore the Pythagorean Theorem. They use Geometer's Sketchpad and explore features of various figures. Students use the software to build a figure using the given measurements.

Working individually and collaboratively, geometers gain a clear understanding of the Pythagorean theorem. They create, explain, and compare proofs of the theorem. Proofs involve areas of trapezoids, squares, and triangles, congruent...

Through the examination of the relationship between the lengths of the sides of a triangles students will learn the classification of triangles (acute, right, or obtuse).

In this Binomial Theorem worksheet, students solve 10 different problems that include applying the Binomial Theorem in each.

Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first lesson of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When the length is not...

What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...

Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a activity that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...

Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.

Even U.S. President James Garfield had his own proof of the Pythagorean Theorem! Pupils consider three different attempts at a geometric proof of the Pythagorean Theorem. They then select the best proof and write paragraphs detailing...

Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...

Begin seeing the world through the lens of geometry! Use the 19th installment in a 25-part module to apply the Pythagorean Theorem to solve real-world problems. Individuals sketch situations resulting in right triangles such as the...

Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.

Use patterns to your advantage! The Pythagorean Theorem allows learners to find missing sides of right triangles. Problems include those with both rational and irrational lengths. 

Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...

Put all of the derivative rules into one basket. The instructional activity stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a...

Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...

In this calculating intervals worksheet, learners calculate intervals using Stokes' Theorem. They justify their answers with words and pictures. This two-page worksheet contains 3 multi-step problems.

Teach your class how to solve problems using the triangle sum theorem. In this geometry lesson, students identify the missing angles in a triangle using the sum theorem. They graph triangles on the TI and moves the sides around to create...

You and your calculus learners will appreciate this description, discussion, and examples of the Intermediate Value Theorem. Applications of the theorem are also discussed.

How can you prove it? Guide classes through an exploration of two possible triangle congruence criteria: AAS and HL. Learners connect this criteria to those previous learned and also explore criteria that does not work. The lesson...

Sandwich the video in between lessons. Scholars learn about the Squeeze Theorem, or Sandwich Theorem, in the eighth of 18 videos in Unit 1 - Limits and Continuity. After seeing a few examples, they look at different situations to...

Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....

Make sure it is all right in class. Pupils review the Pythagorean Theorem and find sides of right triangles, either by simplifying radicals or using calculators to find approximate lengths. Learners find out how to use the converse to...

Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...