Pythagorean Theorem Teacher Resources

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Instructional Video4:02
FuseSchool

Pythagoras' Theorem

For Students 8th - 12th Standards
Explore the relationship of the square of the sides of a right triangle. After developing the Pythagorean Theorem, the video instructor presents practice problems and their solutions. She calculates the hypotenuse and then a leg of a...
Assessment
Balanced Assessment

Refiguring Pythagoras

For Students 6th - 8th
Why was Pythagoras so obsessed with squares? The assessment task posits the question of whether the geometric interpretation of the Pythagorean Theorem holds for figures other than squares. Scholars first consider the case of semicircles...
Assessment
Mathed Up!

Pythagoras' Theorem

For Students 7th - 10th Standards
Use a right method to find a distance. Given a right triangle, class members find the length of one side given the measurement of the other two sides—the missing side may or may not be the hypotenuse. A video reminds the pupils how to...
Handout
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2
EEWeb

Geometry: Shapes and Solids

For Teachers 6th - 10th Standards
An excellent resource for a geometry class, as well as for an electrical engineering course. A thorough reference sheet covers geometric shapes such as triangles, parallelograms, and circles, as well as 3-D shapes and the Pythagorean...
Handout
Del Mar College

Formulas for Elementary and Intermediate Algebra

For Students 6th - 9th Standards
Give your scholars the support they need to work with formulas. A reference page offers definitions and picture examples of perimeter, area, surface area, volume, the Pythagorean theorem, a variety of shapes, and more. 
Instructional Video10:54
Krista King Math

45-45-90 Triangles

For Students 9th - 12th Standards
45-45-90 triangles are half a square, which gives them a special status! The instructor explains the relationship of the sides of the 45-45-90 triangle using the Pythagorean Theorem as a reference. 
Assessment
1
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Balanced Assessment

Marbles in a Glass

For Students 9th - 12th Standards
Allow learners to design their own strategies to solve a problem. Given dimensions of a glass and a smaller marble, scholars must find the dimensions of a larger marble. The answer key suggests using the Pythagorean Theorem, but multiple...
Instructional Video3:45
CK-12 Foundation

Special Right Triangle 45-45-90: Lesson

For Students 8th - 11th
Square roots connect squares and right triangles. Using the Pythagorean Theorem, the video shows the relationship between the sides and hypotenuse of a 45-45 right triangle. The portion of a larger geometry playlist applies the...
Lesson Plan
101 Questions

Taco Cart

For Students 6th - 8th Standards
Sometimes you just need a taco. Young mathematicians investigate two different paths on a beach to get to a taco cart. Completion of the task requires finding distances using the Pythagorean Theorem and considering the different walking...
Activity
101 Questions

Snail's Pace

For Teachers 6th - 8th Standards
Time doesn't fly when you're watching a snail cross a sidewalk. Combining the concepts of the Pythagorean Theorem and the distance, rate, and time formula, learners determine how long it takes a snail to go from one corner of a sidewalk...
Instructional Video3:25
Corbett Maths

Area of a Hexagon

For Students 8th - 10th Standards
A regular hexagon is made of six congruent triangles. A video lesson shows learners how to use this information to find the area of a hexagon given the side length. Because the triangles are equilateral, they use the Pythagorean Theorem...
Instructional Video7:26
1
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MinutePhysics

Spacetime Intervals: Not EVERYTHING Is Relative — Special Relativity Chapter 7

For Students 11th - Higher Ed Standards
Special relativity proves that both length and time are relative—but, that's not the complete story. Scholars learn how both length and time have absolute values that don't vary with perspective. The seventh lesson in the eight-part...
Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Claim 3

For Teachers 8th Standards
Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to...
Assessment
Concord Consortium

Outward Bound

For Students 9th - 12th Standards
Just how far can I see? The short assessment question uses the Pythagorean Theorem to find the distance to the horizon from a given altitude. Scholars use the relationship of a tangent segment and the radius of a circle to find the...
Instructional Video7:06
2
2
Flipped Math

Unit 7 Review: Right Triangles

For Students 9th - 12th Standards
It is all right to spend some time with a review. After watching a short review video covering the materials from the unit, pupils work through 23 review problems. Scholars work on problems involving the Pythagorean Theorem and its...
Instructional Video16:10
2
2
Flipped Math

Parallelograms and Triangles

For Students 9th - 12th Standards
Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to...
Assessment
Mathematics Assessment Project

Geometry

For Students 7th - 8th Standards
Help learners find joy in facing mathematical challenges. The questions posed on this worksheet encourage young mathematicians to utilize skills learned throughout a geometry unit, and to apply themselves and persevere through...
Assessment
Illustrative Mathematics

Coordinates of Equilateral Triangles

For Students 9th - 12th Standards
Can it be constructed? The task poses the question whether it is possible to have an equilateral triangle with its vertices located at integer coordinates. Pupils work with their knowledge of trigonometric ratios and the Pythagorean...
Unit Plan
Radford University

Natural Disaster Recovery and Quadrilaterals: Fencing and Roofing Materials

For Students 9th - 12th Standards
Storm into a better understanding of geometry. Using a tornado as a backdrop, scholars practice their skills finding perimeters and areas of rectangles. Learners apply their knowledge of the Pythagorean Theorem to find missing sides of...
Unit Plan
Radford University

How to Build a Happy Home

For Students 9th - 12th Standards
Build a complete house in just a few days. Learners create floor, roof, deck, and landscape plans for a two-story house. Scholars then use their knowledge of area formulas, trigonometric ratios, and the Pythagorean Theorem to determine...
Unit Plan
Radford University

Right Triangle Applications: Lessons 1 and 2

For Students 9th - 12th Standards
Use right triangles for more than just mathematical problems. The first two lessons of a unit ask pupils determine distances between cities by using the Pythagorean Theorem and a map. To cement understanding, learners use trigonometric...
Performance
Radford University

Getting Around Millbrook

For Teachers 9th - 12th Standards
When is the distance formula not accurate? Referencing a map of the school, pairs determine the walking distance between two locations. Creating coordinates for each location, pupils determine the distance between the two points and...
Performance
Radford University

Rom/Com Final Scene

For Teachers 9th - 12th Standards
You haven't seen this scene before, have you? Young mathematicians first review the Pythagorean Theorem and trigonometry by completing a worksheet. They then consider several problems involving two people running toward each other in a...
Worksheet
Curated OER

Find the Missing Side of the Right Triangle

For Students 6th - 8th
In this find the missing side of the right triangle worksheet, middle schoolers use the Pythagorean theorem to find the missing side, given the other 2 lengths, for 4 triangles.

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