Pythagorean Theorem Teacher Resources
Find Pythagorean Theorem educational ideas and activities
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Proofs into Practice: The Pythagorean Theorem in the Real World
As an introduction to the lesson, learners verify the Pythagorean theorem with a hands-on proof. Then, pupils use the theorem to determine whether three side lengths could form a right triangle and choose one of two real-life situations to examine using the theorem.
8th - 12th Math 145 Views 213 Downloads CCSS: Designed
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 applets that simulate squaring the sides of a right triangle and practice putting the theorem to use.
8th - 10th Math 49 Views 73 Downloads CCSS: Designed
Converse of the Pythagorean Theorem
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider giving your class members a 12-inch piece of yarn with which to demonstrate a right triangle and the Pythagorean theorem triples the way that this ancient culture did.
7th - 9th Math 52 Views 71 Downloads CCSS: Designed
Pythagorean Theorem: Prove It (Part 2)
Do your geometry pupils complain they'll never use this stuff in real life? Prove them wrong with this straightforward lesson plan, in which they apply the Pythagorean theorem to real-world problems as well as mathematical problems. The lesson plan includes several attachments for the assignment, as well as resource links for an extension of the activity.
7th - 9th Math 30 Views 111 Downloads CCSS: Designed
Pythagorean Theorem All
As the second in a series on the Pythagorean Theorem, this lecture delves into some more difficult problems. Primarily, it examines the process for finding the value of a hypotenuse. It is particularly helpful because the example problem is one in which the solution is not easy to calculate.
10 mins 9th - 10th Math 7 Views 2 Downloads
Proofs of the Pythagorean Theorem
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 triangles, and similar triangles.
9th - 12th Math 5 Views 12 Downloads CCSS: Designed
Explaining the equation for a circle
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help students gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the first task, they move toward developing a generalized equation of a circle.
9th - 12th Math 15 Views 16 Downloads CCSS: Designed
Running on the Football Field
Make your class into Pythagorean theorem fanatics in no time. What a great resource to get your sports enthusiasts into the math game! Read the commentary so you can you can strategize how to apply the three math practices.
7th - 9th Math 42 Views 50 Downloads CCSS: Designed
Applying the Pythagorean Theorem in a Mathematical Context
Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that your class understands that the largest side may be the hypotenuse.
7th - 9th Math 35 Views 37 Downloads CCSS: Designed
Quilting with My Pal, Pythagoras!
What a neat concept; kids discover the Pythagorean Theorem as they work together to create a class quilt! Use these tips to explain the theorem, and kids participate in a scavenger hunt for right angles. Display the "Shoo Fly" quilt design, which includes many right angles.
6th - 8th Math 8 Views 34 Downloads CCSS: Designed
Explaining the distance formula as "an application of the Pythagorean Theorem" might relieve some of your young mathematicians who are scratching their head at all the new concepts. Sal demonstrates how to take the distance between any two points on an x, y coordinate plane.
10 mins 7th - 11th Math 17 Views 43 Downloads CCSS: Adaptable
Roots and the Pythagorean Theorem
In this roots and the Pythagorean Theorem learning exercise, learners solve 15 different types of problems related to square roots and applying the Pythagorean Theorem. They first determine the square root of each number and then, the cube root.
7th - 9th Math 93 Views 656 Downloads CCSS: Adaptable
Similar Parts Investigation
How tall is that flagpole? Your pupils might want to stand on each other's shoulders to answer this, but this activity is all about using the math knowledge they already possess. Using right triangle trigonometric ratios (SOH CAH TOA) and the Pythagorean theorem, young geometers solve real-world problems.
9th - 11th Math 16 Views 29 Downloads CCSS: Designed
Getting it Right! An Investigation of the Pythagorean Theorem
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the relationship, they generate visual proofs, investigate the Web for additional information about Pythagoras, and use geometry software to explore other implications of the theorem.
5th - 8th Math 23 Views 82 Downloads
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own alternative representation.
7th - 9th Math 10 Views 46 Downloads
Lesson Plan: Pythagorean Theorem
Young geometers use technology (Geometer’s Sketchpad) to explore the Pythagorean Theorem and analyze different proofs. Students work in small groups to gain insight into the relationships of the sides of right triangles by constructing and measuring a variety of right triangles, using GSP to prove the theorem, and solving a number of different problems.
7th - 9th Math 4 Views 76 Downloads