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300 resources with the keyterm pythagorean theorem

Videos (Over 2 Million Educational Videos Available)
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Prepositional Phrases for Kids | English...
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5:10
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Other Resource Types ( 300 )
2 In 2 Collections
Lesson Planet

Two Triangles' Area

For Teachers 7th - 9th Standards
Need an activity for teaching the Pythagorean Theorem? Geometry juniors apply the Pythagorean theorem to two triangles to determine a final calculation. 
1 In 1 Collection
Lesson Planet

A Rectangle in the Coordinate Plane

For Teachers 7th - 9th Standards
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem. 
9:37
Lesson Planet

Pythagorean Theorem All

For Students 9th - 10th
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...
4:49
Lesson Planet

30-60-90 Triangles All

For Students 9th - 10th
Using this video, which is the fourth in a series, the instructor continues a discussion involving the Pythagorean theorem. This video focuses on calculations involving right triangles with 30 and 60 degree angles.
9:37
Lesson Planet

Pythagorean Theorem All

For Students 9th - 10th
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...
9:40
Lesson Planet

Intro to 30-60-90 Triangles

For Students 9th - 10th
As the fourth part of a series on the Pythagorean Theorem, Sal continues an exploration of the ways to calculate the length of sides of a right triangle using algebra. He also explores using this theorem to solve problems involving a...
9:31
Lesson Planet

45-45-90 Triangles

For Students 9th - 10th
The process for calculating values using a right triangle with angles of 45 degrees is covered in this third portion of the Pythagorean Theorem series. Here, Sal uses algebra to calculate the value of an angle. The solution to the sample...
Lesson Planet

Jane's TV

For Students 6th - 8th Standards
Jane wants a new television, but she's not sure what size to buy! Your middle schoolers can figure it out when they apply the Pythagorean theorem. Produced especially for meeting Common Core standards in geometry, this activity appeals...
1 In 1 Collection 9:17
Lesson Planet

Intro to the Trigonometric Ratios

For Students 11th - Higher Ed
This video introduces the basics of trigonometry. It starts by defining a right triangle and showing two different examples of finding the ratios of sine, cosine, and tangent using the SOH-CAH-TOA mnemonic. This resource could be used as...
13:03
Lesson Planet

Pythagorean Theorem

For Students 7th - 11th
Crossing into the realm of geometry with this video, Sal introduces the Pythagorean Theorem to viewers. He uses several examples (and right triangles) to illustrate the uses and application of the Pythagorean Theorem.
10:02
Lesson Planet

SAT Prep: Test 5 Section 3 Part 1

For Students 9th - 12th
Sal starts a new set of practice SAT problems in this video, starting on page 652 of The Official SAT Study Guide. Problems involve fractions and ratios, simplifying equations, and finding the perimeter of given coordinates on a plane.
3:56
Lesson Planet

SAT Prep: Test 8 Section 5 Part 4

For Students 9th - 12th
If your math students are having a hard time with graphing and slopes, this video could be a great resource as they prepare for the SAT. Sal takes care in explaining his thought process, making sure where to note different strategies to...
3:56
Lesson Planet

SAT Prep: Test 6 Section 3 Part 3

For Students 9th - 12th
Continuing problem 7 from the previous video, Sal takes students through what he describes as "a common SAT problem" involving geometric lines and figures. Additional problems deal with sequences, cross-multiplication, and measuring...
3:56
Lesson Planet

SAT Prep: Test 5 Section 9 Part 4

For Students 9th - 12th
Graphing skills are a focus of this video, making it ideal for students who have a hard time using slopes and functions. Additional problems involve visualization, geometric figures, and algebraic factoring.
3:56
Lesson Planet

Distance Formula

For Students 7th - 11th Standards
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...
9:16
Lesson Planet

SAT Prep: Test 3 Section 4 Part 2

For Students 9th - 12th
Sal explains how helping his young cousins with their math skills inspired him to make this series of videos, so he can help a bunch of people pass the SAT. In this video, he covers exponents, quadratics, and parabolas in problems 5-9 on...
9:12
Lesson Planet

SAT Prep: Test 8 Section 5 Part 3

For Students 9th - 12th
Have a blast with Sal as he solves these SAT practice questions! He enjoys himself with visualization and combination problems, showing not only how to solve the problems but to see math as a riddle rather than a threat.
9:07
Lesson Planet

SAT Prep: Test 6 Section 3 Part 1

For Students 9th - 12th
With the beginning of another practice SAT session from The Official SAT Study Guide, Sal plows through problems 1-4 on page 716. He emphasizes the importance of narrowing down potential answers in a multiple-choice problem, as well as...
8:31
Lesson Planet

SAT Prep: Test 2 Section 9 Part 4

For Students 9th - 12th
Price increases in real life aren't enjoyable, but Sal's enthusiasm and easygoing explanation makes the question on increasing prices on the practice SAT fun! Showing students how to easily work through problems involving the Pythagorean...
8:16
Lesson Planet

SAT Prep: Test 1 Section 6 Part 1

For Students 9th - 12th
Here, Sal begins section 6 on page 407 of The Official SAT Study Guide, focusing on problems 1-4 in this video. He clarifies that SAT questions are "tricky, but really fast" problems that shouldn't take a lot of time to solve. To prove...
Lesson Planet

Proof of the Pythagorean Theorem Using Transformations

For Teachers 9th - 12th Standards
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
6:29
Lesson Planet

CAHSEE Practice: Problems 38-42

For Students 9th - 10th
Sal shows your students how to thoroughly and effectively read and solve math problems on the CAHSEE (and other standardized tests) in this engaging video. From masters of geometry to students who struggle with basic math skills, these...
Lesson Planet

Stay in Shape

For Teachers 7th - 9th Standards
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
Lesson Planet

The Pythagorean Theorem

For Teachers 7th - 9th Standards
What special relationship exists among the sides of a right triangle? Explore this relationship using a computer applet, cut-and-paste activity, and video tutorial to develop the Pythagorean Theorem and its significance to right triangles.
Lesson Planet

How Tall is It?

For Teachers 9th - 11th Standards
Your collaborative geometry learners use trigonometric ratios and a clinometer that they assemble themselves to indirectly measure the height of a flag pole and other objects. Then they create a presentation to explain the process they...
2 In 2 Collections
Lesson Planet

Amaaazing Amusement Park

For Teachers 7th - 9th Standards
Find the shortest distance at the amusement park and enjoy all your stops before you have to meet for dinner. When given a map of the park, your learners will have to plan their route to include all the stops and calculate the total...
2 In 2 Collections
Lesson Planet

Mathematics Reference Sheet

For Teachers 5th - 10th Standards
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
2:49
Lesson Planet

How Do You Determine if a Triangle Is a Right Triangle if You Know its Sides?

For Teachers 6th - 10th
Use the Pythagorean Theorem formula to check if this given triangle, with the given lengths of each side, is a right triangle. It's as simple as plugging the given values into the formula and doing the math to see if the solution checks...
Lesson Planet

Running on the Football Field

For Teachers 7th - 9th Standards
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.
Lesson Planet

Fish Tale

For Students 7th - 10th Standards
Here is a cute problem that requires visualizing two-dimensional shapes within a three-dimensional object, and using properties of triangles and the Pythagorean theorem to solve a real-world problem. There is a small mistake in this...
Lesson Planet

Pythagorean Theorem

For Teachers 8th - 10th Standards
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...
1 In 1 Collection
Lesson Planet

Converse of the Pythagorean Theorem

For Teachers 7th - 9th Standards
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...
1 In 1 Collection 4:54
Lesson Planet

How Was the Distance Formula Derived?

For Teachers 6th - 12th
Are you working on the distance formula? Derive the distance formula and help your learners by showing them the logic behind the distance formula. This practical video should help conceptual understanding and is appropriate for in-class...
Lesson Planet

The Distance and Midpoint Formula

For Teachers Higher Ed
In this college level mathematics worksheet, students solve use the Pythagorean Theorem to find the missing side of a right triangle and explore the connection between the Pythagorean Theorem and the distance formula.   Students also...
Lesson Planet

The Pythagorean Theorem and Classifying Triangles

For Teachers 9th - 12th Standards
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).
Lesson Planet

Informal Geometry

For Students 8th - 12th
Middle and high schoolers solve and complete 29 various types of problems. First, they match each name with its correct formula. Then, students find the length of the missing side and the distance between the two points given. In...
Lesson Planet

How Fast Can You Watch?

For Students 8th - 12th
In this watch worksheet, pupils read story problems and determine the change in the distance with respect to time. They compute the radians per second. This two-page worksheet contains nine multi-step problems.
Lesson Planet

Scientists go below to find

For Teachers 8th - 10th
Learners investigate coordinate graphing. In this Algebra I lesson, pupils determine the distance between two cities by finding the vertical and horizontal distances using the longitude and latitude readings.  They  use the Pythagorean...
Lesson Planet

Applications of the Pythagorean Theorem - Magnetism

For Students 8th - 12th
Middle and high schoolers use the Pythagorean Theorem to complete a table showing with the magnetic field strengths in given cities. They find the average value of the Earth's magnetic field and plot one of the three-dimensional values...
Lesson Planet

Traveling Around the World?

For Teachers 8th - 9th
Using a longitude and latitude map that relates to the coordinate grid and job description cards that come with places to travel to, young mathematical travelers use the distance formula and The Pythagorean Theorem to answer questions...
Lesson Planet

Where Does the Scent of a Lady's Perfume Go?

For Students 8th - 10th
Learners use the Pythagorean Theorem to determine the missing side length of a right triangle. This is a self-checking worksheet. If the answers are correct, the pupils will discover the answer to a riddle. This one-page worksheet...
Lesson Planet

Lesson Plan - Distance in the Coordinate Plane

For Teachers 8th - 10th
Learners explore the distance formula. They use Cabri, Jr. to explore distances in a coordinate plane. The lessons requires pupils to calculate distance with both the distance formula and the Pythagorean Theorem in order to discover the...
Lesson Planet

7-2 Self Check Pythagorean Theorem Multiple Choice

For Students 8th - 10th
Middle and high schoolers use the Pythagorean Theorem to determine the length of the sides of a right triangle. They solve distance problems. This one-page worksheet contains 10 multiple-choice problems. This is self-checking worksheet.
Lesson Planet

Learning Unit: The Pythagorean Theorem

For Teachers 8th - 10th
Middle and high schoolers research the life of Pythagoras and the Pythagorean theorem. They write a short biography of Pythagoras and learn to apply the theorem in their study of right triangles.
Lesson Planet

Reteaching 5.4 The Pythagorean Theorem

For Students 8th - 12th
In this Pythagorean Theorem activity, pupils use the Pythagorean Theorem to determine the length of a missing side of a right triangle. This three-page activity contains examples, explanations, and 25 problems. Answers are provided on...
Lesson Planet

Principles of Square Roots Lesson Plan

For Teachers 8th - 11th
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise,...
Lesson Planet

TImath.com Pythagorean Proofs

For Teachers 8th - 12th
Math scholars investigate the Pythagorean Theorem. They explore the proof of the Pythagorean Theorem by using area and by dissection. They apply what they have learned about the Pythagorean Theorem. TI-nspire handheld and appropriate...
Lesson Planet

Lesson Plan: Pythagorean Theorem

For Teachers 7th - 9th
Young geometers use technology (Geometer’s Sketchpad) to explore the Pythagorean Theorem and analyze different proofs. Learners work in small groups to gain insight into the relationships of the sides of right triangles by constructing...
Lesson Planet

Volume of Solids

For Students 10th
In this volume of solids worksheet, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of the...
Lesson Planet

Pythagorean Theorem by Graphic Manipulation

For Teachers 7th - 9th
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...
Lesson Planet

Exploring the Distance Formula with the TI- Navigator

For Teachers 9th - 12th
Students explore the distance formula.  In this geometry lesson, students investigate the relationship between movement on the coordinate lane and cardinal directions.  Students explore the distance formula in terms of the Pythagorean...
Lesson Planet

Number Sense and Numeration: Square Roots

For Students 8th
In this square roots instructional activity, 8th graders solve 14 different types of problems to include determining the square root of a number of problems, determining the area of a rectangle and the length of a side of a square with...
Lesson Planet

Toothpick Triangles

For Teachers 4th - 8th
Students draw a chart (included in the lesson) to use with their investigation. They review terminology of triangles and receive toothpicks to use in the lesson. Beginning with three toothpicks, students form a triangle. They complete...
Lesson Planet

The Falling Ladder

For Teachers 9th - 12th
Investigate the motion of a ladder sliding down a building. Upper graders use their Ti-Nspire to graph the height vs. distance from the wall to the ladder in various scenarios. They then construct the graph that would result from the...
Lesson Planet

The Pythagorean Puzzle

For Teachers K - 12th
An engaging hands-on activity is presented. Learners of all ages are addressed in thie unique plan. K-5 learners identify, name, and define a rectangle, square, triangle, and the concept of area. Older learners prove the Pythagorean...
Lesson Planet

Time Dilation and Geometry

For Teachers 9th - 10th
Students solve problems of dilation and velocity. In this geometry instructional activity, students apply the Pythagorean Theorem to solve problems and relate it to time and velocity.
Lesson Planet

Pythagorean Theorem

For Teachers 6th - 8th
Reinforce the use of the Pythagorean theorem with this problem solving lesson. Middle schoolers use the Pythagorean theorem to solve word problems. They work in pairs to find the answers to the problems, and then explain how they got...
Lesson Planet

Pythagorean Theorem

For Students 8th - 10th
In this Pythagorean Theorem activity, students use the Pythagorean Theorem to compute the hypotenuse, determine the perimeter and area of right triangles. This two-page activity contains 8 multi-step problems. Answers are provided at the...
Lesson Planet

Applying the Pythagorean Theorem to find Distances Between Cities

For Teachers 8th - 10th
Learners solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the Pythagorean Triple and use it to solve real life problems.
8:37
Lesson Planet

Test 2 Section 2 Part 5

For Students 9th - 12th
Both algebra and geometry problems are featured in this SAT practice video. Students who have a hard time transitioning between skills on tests (average mean, then diameters and pi, then positive integers) would benefit from Sal's deft...
Lesson Planet

Distances in the Coordinate Plane

For Teachers 8th - 12th
Learners explore the concept of the distance formula. In this distance formula lesson, pupils use the distance formula to determine the lengths of segments in the coordinate plane. They use the Pythagorean Theorem to determine the length...
1:35
Lesson Planet

Pythagorean Theorem

For Teachers 7th - 9th
The Pythagorean Theorem, which states the relationship between the length of the sides of a right triangle and the length of the hypotenuse is shown. Several same-sized triangles are created to form a square and then manipulated to prove...
12:12
Lesson Planet

Basic Trigonometry ll

For Students 10th - 12th
Sal continues with examples of finding the sine, cosine, and tangent of an angle in a right triangle using SOH-CAH-TOA. In his examples, he reviews the use of the Pythagorean Theorem and rationalizing the denominator of a fraction. He...
1 In 1 Collection
Lesson Planet

Applying the Pythagorean Theorem in a Mathematical Context

For Teachers 7th - 9th Standards
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...
Lesson Planet

Geometry Chapter 7 Practice Test

For Students 10th
In this geometry worksheet, 10th graders review problems that review a variety to topics relating to right triangles, including, but not limited to the Pythagorean Theorem, simplifying radicals, special right triangles, and right...
Lesson Planet

How Far Am I Traveling?

For Teachers 7th - 10th
Learners apply properties of the Pythagorean Theorem to solve problems with missing sides and angles. In this geometry lesson, pupils calculate the distance between two point on a line using the Pythagorean Theorem. They identify...
Lesson Planet

Distance

For Students 8th - 12th
For this secondary mathematics worksheet, pupils use the Pythagorean Theorem to express the distance two planes flying at right angles are apart after t hours of flying. The one-page worksheet contains one problem with the solution. 
Lesson Planet

The Pythagorean Theorem and the Distance Formula

For Teachers 8th - 12th
Young scholars find missing side lengths of triangles. In this finding missing side lengths of triangles activity, pupils use the Pythagorean theorem. They derive the distance formula from the Pythagorean Theorem. Pupils solve...
Lesson Planet

The Pythagorean Theorem, the Distance Formula, and Slope

For Teachers 8th - 12th
Learners explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, pupils use the Pythagorean Theorem to derive the distance formula. They are given points on a coordinate grid and they find the distance between...
Lesson Planet

Length of a Line Segment - Distance

For Students 8th - 9th
Pupils determine the distance between two given points. They use the distance formula to determine line length, as well as the length of the radius of a circle. The Pythagorean Theorem may also be used to determine line length. This...
Lesson Planet

Pythagorean Theorem and Distance Formula

For Students 7th - 10th
In this Pythagorean Theorem worksheet, pupils use the Pythagorean Theorem to determine the distance between two points on a coordinate plane. This two-page worksheet contains seven multi-step problems. Answers are provided beside each...
Lesson Planet

Measuring Segments

For Students 8th - 10th
Middle and high schoolers solve 14 problems that include finding the distance between two points in different situations. First, they refer to a number line to find the measure of each point on the line. Then, pupils refer to the...
Lesson Planet

Pythagorean Theorem

For Teachers 7th - 10th
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.
Lesson Planet

The Pythagorean Theorem Lesson 2

For Teachers 8th - 12th
Learners discuss and review examples of the Pythagorean Theorem using a GSP, Geometer's Sketchpad, activity.
Lesson Planet

Roots and the Pythagorean Theorem

For Students 7th - 9th Standards
In this roots and the Pythagorean Theorem worksheet, 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....
Lesson Planet

Pythagorean Theorem

For Students 7th - 8th
Middle schoolers solve and complete 4 different problems that include using the Pythagorean Theorem. First, they use the models shown to determine what the Pythagorean Theorem means. Then, pupils color each section of the formula a given...
Lesson Planet

Pythagorean Theorem

For Students 7th - 10th
In this Pythagorean theorem worksheet, students use the Pythagorean theorem to find the missing unit of the triangle. Students solve 10 problems.
Lesson Planet

Practice B Pythagorean Theorem

For Students 8th - 9th
In this Pythagorean theorem worksheet, students solve and complete 24 different types of problems. First, they find the length of the hypotenuse and round the answer to the nearest tenth. Then, students find the unknown side for each...
Lesson Planet

Absolute Value

For Students 11th - 12th
For this absolute value worksheet, students solve 10 different equations that include solving absolute values. First, they determine whether their equation is expressed in the a+bi form. Then, students select the coefficients for a and...
Lesson Planet

Square Roots Using a Carpenter's Square

For Teachers 6th - 8th
Students calculate the square root of a given number using carpenter's square measurements. In this math lesson, students relate this method on the Pythagorean theorem. They answer practice problems after the exploration activity,
Lesson Planet

Estimating Roots

For Teachers 8th - 9th
Learners explore the concept of estimating square and cube roots.  In this estimating square and cube roots lesson, students are given the area of a square object and must determine the sides.  Learners solve word problems involving...
Lesson Planet

The Right Stuff

For Teachers 7th - 9th
Learnersare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
Lesson Planet

Pythagorean Theorem and Equations of Lines

For Students 8th - 10th
In this Pythagorean Theorem and equations of lines worksheet, students find the lengths of sides of triangles, constructing squares adjacent to sides. Students then find equations of each line in slope intersect form. 
Lesson Planet

Exploring the Laws of Sines and Cosines

For Teachers 10th - 11th
This lesson plan uses GeoGebra on the Web, or Geometer's Sketchpad to investigate and identify the different properties of sines and cosines. The class learns how the laws of sine and cosine relates to a right triangle and a non-right...
Lesson Planet

Mathematics - Squares, Square Roots

For Teachers 7th - 9th
Looking for a quick introduction or review for area formulas?  Terminology and formulas for the area of squares, rectangles and triangles is presented. Connections with exponents and the Pythagorean Theorem are demonstrated.
Lesson Planet

Pythagorean Theorem

For Teachers 6th - 8th
While providing a rudimentary review of the Pythagorean Theorem, this presentation would be a great way to help upper elementary and middle school students visualize the concept behind the Pythagorean Theorem. In a series of step-by-step...
Lesson Planet

Math 7 - Relay Review Questions

For Students 6th - 8th
Middle schoolers solve 10 short answer problems. They find the height of a tree using the Pythagorean theorem, find the LCM of two integers, identify irrational numbers, find the surface area of a cylinder, etc.
Lesson Planet

Getting it Right! An Investigation of the Pythagorean Theorem

For Teachers 5th - 8th
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...
Lesson Planet

Similarity: Instructional

For Students 7th - 8th
In this similarity worksheet, students solve and complete 7 different problems that include determining various dimensions of mirrors shown. First, they find the length of the diagonal of the large mirror in the diagram. Then, students...
3:56
Lesson Planet

SAT Prep: Test 7 Section 2 Part 1

For Students 9th - 12th
Sal picks up the pace in this video, going through problems 1-7 on page 774 of The Official SAT Study Guide. Basic algebra, arithmetic, and geometry problems start out this section, allowing students to build up some steam before hitting...
Lesson Planet

Worksheet - Distances in the Coordinate Plane

For Teachers 8th - 10th
Middle and high schoolers explore the distance formula. In this geometry lesson plan, learners determine the length of a segment with the distance formula and the Pythagorean Theorem. They explore the relationship between the two methods...
Lesson Planet

Distance Formula Between Two Points on a Coordinate Plane

For Teachers 7th - 10th
Young mathematicians play a revised version of the game "Battleship" to discover the distance formula between two points on a grid. They calculate distances on a coordinate plane.
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Pythagorean Triples

For Teachers 8th - 12th
In this geometry lesson, learners generate Pythagorean triples using technology. They enter a program which generates Pythagorean triples in to their TI-83 calculator and examine the results.
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Number & Operations

For Students 8th - 9th
In this number and operations activity, students solve and complete 3 different sections of one problem that uses the Pythagorean theorem to solve. They use the model illustrated to determine the meaning of the Pythagorean theorem. Then,...
Lesson Planet

Math 7/8 Bingo Questions: Pre-Algebra Review

For Students 6th - 8th
In this pre-algebra review worksheet, learners solve 15 short answer problems. Students simplify expressions using order of operations, find percentages of integers, find simple interest, find missing side lengths of a triangle, etc.
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Math 7/8 Review Part 2: Pythagorean Theorem and Systems of Equations

For Students 9th - 12th
In this Pythagorean Theorem and systems of equations worksheet, students solve 4 short answer and graphing problems. Students solve a system of equations by graphing. Students determine an unknown side length of a triangle using the...
Lesson Planet

Pythagorean Theorem

For Students 6th - 10th
In this measurement worksheet, students will be given 2 sides of a right triangle, they will determine if the missing side is a leg or the hypotenuse. They will use the Pythagorean Theorem to create an equation and find the length of the...
Lesson Planet

Cook Me Up Some Equations

For Teachers 7th - 12th
Students study a variety of math concepts in the context of cooking up a meal. In this math lesson, students calculate surface area and volume. They draw and interpret different types of graphs.
Lesson Planet

The Pythagorean Theorem

For Teachers 10th
In this geometry worksheet, 10th graders apply the Pythagorean Theorem as they determine the length of the missing leg or hypotenuse in right triangles.  The one page worksheet contains twelve questions.  Answers are included. 
1 In 1 Collection
Lesson Planet

Pythagorean Theorem and Distance Formula

For Students 7th - 12th Standards
In this Pythagorean theorem and distance formula worksheet, young geometers use the two formulas to find the distance between points. They complete 12 problems.
Lesson Planet

Squares and Square Roots

For Teachers 8th - 10th
Learners find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson plan, students draw squares and find their areas. They estimate the sides of square when given the area. Learners...
Lesson Planet

Pythagorean Theorem Homework

For Students 9th - 12th
In this Pythagorean Theorem activity, students solve 3 short answer problems. Students use the Pythagorean Theorem to find the length of a triangle's hypotenuse.
Lesson Planet

Pythagorean Theorem

For Students 9th - 12th
In this Pythagorean theorem worksheet, students use the Pythagorean theorem to find the length of a missing side of a right triangle.  This two--page worksheet contains 15 problems.
Lesson Planet

Guess & Check Extra Credit

For Students 8th - 10th
In this Pythagorean Theorem worksheet, students use the Pythagorean theorem to compute the length of a missing side.  They identify Pythagorean triples.  This three-page worksheet contains 34 problems.
Lesson Planet

Exploring the Pythagorean Theorem

For Teachers 9th - 12th Standards
Learners solve the Pythagorean Theorem on the TI navigator showing each step of the way.They calculate the missing sides and angles for the triangle.
Lesson Planet

The Radical Side of Pythagoras

For Teachers 9th - 11th
Students solve real world problems using radicals and the Pythagorean Theorem. In this geometry lesson plan, students apply the concepts of trig ratios and right triangle to solve problems.
Lesson Planet

How Far is It? (Calculating Distance)

For Teachers 8th - 9th
Students determine how the Pythagorean Theorem and the distance formula are related. In this rational expressions activity, students apply radicals to solve real world problems. Students take a long piece of string to create a triangle...
Lesson Planet

The Pythagorean Theorem

For Students 10th
In this geometry instructional activity, 10th graders use the Pythagorean Theorem to determine the length of the third side of a right triangle given the length of any two sides.  The three page instructional activity contains a...
Lesson Planet

Pythagorean Theorem and Triangles

For Students 11th
In this geometry activity, 11th graders solve problems with right triangles using the Pythagorean Theorem. They find the missing angle or missing side. There are 15 questions with an answer key.
Lesson Planet

New York State Testing Program Practice

For Students 8th
In  this standardized test preparation worksheet, 8th graders solve several varying problems.  This twelve page test preparation worksheet asks students to show their work and explain how they arrived at their answers. 
Lesson Planet

The Pythagorean Theorem

For Students 10th
In this geometry worksheet, 10th graders answer questions about right triangles by identifying the 3 sides of the triangle. They analyze the different shapes of polygons and relate them to right triangles to find the sides using the...
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Going out of Business: Pythagorean Theorem

For Teachers 8th - 9th
Young scholars find the length of diagonals.  In this Pythagorean theorem lesson, students use the Pythagorean theorem to determine the length of diagonals. 
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Pythagorean Theorem: Algebra/Geometry Institute Summer 2010

For Teachers 7th - 9th
Students solve Pythagorean theorem problems.  in this Pythagorean theorem lesson, students read real world problems, draw diagrams, and then solve with the Pythagorean theorem.  They define hypotenuse and leg.  students identify square...
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The Case of the Diminishing Square ID: 8356

For Teachers 10th
Tenth graders explore the problem of a small square constructed inside of a larger square.  In this geometry lesson, 10th graders use TI-Nspire to examine the ratio of the area of the smaller square to the larger square.  Students are...
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NUMB3RS Activity: Narrowing the Search

For Teachers 9th - 12th Standards
High schoolers explore the length of an n-dimensional vector.  In this Algebra II/Pre-calculus lesson plan, students investigate an expansion of the Pythagorean Theorem to n-dimensional space. 
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Finding the Legs: A Pythagorean Activity

For Teachers 9th - 12th
Students explore the concept of the Pythagorean Theorem.  In this Pythagorean Theorem lesson, students use lists on a graphing calculator to determine the length of a hypotenuse of a triangle given two legs. 
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Triangle Properties

For Teachers 7th - 9th
Students explore parts of triangles.  In this triangle properties lesson, students examine the relationship between the legs and the hypotenuse of a triangle.  They use models of triangles to examine the Pythagorean Theorem.  Students...
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River Optimization Problem

For Teachers 8th - 10th
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
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Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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Pythagorean Theorem

For Students 10th
In this Pythagorean Theorem worksheet, 10th graders solve and complete 19 various types of problems. First, they draw the square shown and divide its sections as shown. Then, students cut out the 6 parts of the square and rearrange the 4...
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Pythagoras and Distance Formula

For Students 9th - 11th
In this Pythagoras and Distance Formula worksheet, students read real-life story problems, determine needed information, write equations, and then solve the problem. Students use the Pythagorean Theorem and Distance Formula to compute...
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Modeling a Planetary Nebula

For Students 12th - Higher Ed
In this modeling a planetary nebula worksheet, students use a diagram to calculate the intensity at different radii from the center of the nebula. Students use the Pythagorean Theorem to determine the distance between two points on the...
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Pythagorean Theorem

For Students 9th
For this Pythagorean theorem worksheet, 9th graders solve and complete 6 various types of problems. First, they find the length of a right-angled triangle's hypotenuse. Then, students determine which triangle is described and explain...
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Cumulative Review: Angles

For Students 8th - 9th
In this angle learning exercise, students classify angles and determine angle measurement. Students use the Pythagorean Theorem to determine the length of one side of a right triangle. They identify congruent sides. This two-page...
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Pythagorean Theorem

For Students 9th
For this Pythagorean theorem worksheet, 9th graders solve and complete 8 different types of problems. First, they go to the given website and copy the picture shown. Then, students draw a right triangle using the straight line between...
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Expressions and Formulas

For Students 9th
In this expressions and formulas worksheet, 9th graders solve and complete 7 different types of problems related to various expressions and formulas. First, they define order of operations and explain why it is used. Then, students list...
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Geometry Review Exam

For Students 10th
For this geometry review worksheet, 10th graders solve and complete 100 various types of problems studied in geometry. First, they find the slope-intercept form of a line passing through two points and parallel to a given line. They also...
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Line Segments and Angles

For Students 10th
For this line segments and angles worksheet, 10th graders solve and complete 25 various types of problems that include measuring lines and angles. First, they define supplementary and complimentary angles. Then, students explain...
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Pythagorean Theorem

For Students 9th - 10th
In this Pythagorean theorem worksheet, students solve and complete 20 different problems that include using the Pythagorean theorem to solve them. First, they use the Pythagorean theorem to determine the value of x in each right...
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Geometric Mean and the Pythagorean Theorem

For Students 10th
In this geometric mean and Pythagorean Theorem worksheet, 10th graders solve 94 various types of problems related to determining the geometric mean and using the Pythagorean Theorem to measure triangles. They find the indicated...
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Translate a Story Problem: Using Equations with Square Roots

For Students 7th - Higher Ed
In this translating a story problem learning exercise, learners work one word problem. As students translate the problem into math symbols and drawings, they can drag their mouse over the story. The steps to setting up the problem are...
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Integration: Geometry - The Pythagorean Theorem

For Teachers 8th - 9th
In this math worksheet, students are given that c is the hypotenuse of a right triangle. Students must find 12 sets of missing measures. Students also use the Pythagorean Theorem to determine whether a given set of measures would form a...
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The Beach Race - ID: 8320

For Teachers 9th - 12th
High schoolers are introduced to a scenario of a beach race in which the equation to be figured out is should the contestant aim to land on the beach to minimize their total time for the race. They solve this optimization problem...
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The Proof of the Century!

For Teachers 7th - 12th
Students do Web research in the field of mathematics. They explore mathematical proofs and apply them to the Pythagorean theorem. They also explore the general ideas of Fermat's Last Theorem
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Picking Pythagoras

For Teachers 6th - 9th
Students discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
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Discover the Pythagorean Theorem

For Teachers 6th - 8th
Students explore the Pythagoras theorem. In this geometry lesson, students make right triangles and identify the parts of the triangle. Students complete measurements of the sides of the triangle.
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Applying the Pythagorean Theorem

For Teachers 6th - 8th
Learners use the Pythagorean Theorem to find the distances between two points. Use this Pythagorean Theorem lesson plan to have learners find the distances on a coordinate plane in small groups.
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Central Valley Math Project

For Teachers 7th - 8th
Middle schoolers study the Pythagorean Theorem. They describe what it means to square a number. Pupilsuse the Pythagorean Theorem to prove the sides of given triangles, and use geometric pieces of paper to create a right triangle and...
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Exploring Pythagorean Theorem

For Teachers 8th
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.
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The Pythagorean Theorem

For Teachers 9th - 10th
Students read the history of the Pythagorean Theorem online and answer questions. In this right triangle lesson, students read about the Babylonians and relate them to the origin of the Pythagorean Theorem. They solve problems by...
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Pythagorean Theorem Worksheet

For Students 9th - 12th
In this online math instructional activity, students use the Pythagorean Theorem to determine if given triangles are "right" triangles. This excellent resource allows the students to check their answers, and to get "hints" should they...
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Pythagorean Theorem Worksheet

For Students 10th
In this geometry worksheet, 10th graders use the Pythagorean Theorem to find the length of the unknown side of the right triangle. The one page interactive worksheet contains twelve questions. Answers and hints are included. 
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Pythagorean Theorem

For Teachers 9th - 11th
Students solve problems using the Pythagorean Theorem. For this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
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Pythagorean Theorem

For Students 8th - 12th
In this Pythagorean theorem learning exercise, students complete problems where they use the Pythagorean theorem to find the lengths of sides of triangles. Students complete 19 problems.
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Solving Problems Using Trigonometric Ratios and the Pythagorean Theroem

For Students 10th
In this geometry activity, 10th graders use right triangle trigonometry and the Pythagorean Theorem to solve application problems.  The six page activity contains multi-part questions.   Answers are not included.
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The Pythagorean Theorem

For Teachers 9th - 10th
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students find the correct ratios of each right triangle. They use the ratios to find missing angles and sides of triangles.
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Pythagorean Theorem Homework

For Students 9th - 10th
In this Pythagorean theorem worksheet, students determine if given side lengths for right triangles, find the length of the missing side in right triangles, and find the length of the diagonals formed in boxes given side lengths.
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Special Right Triangles Multiple Choice

For Students 9th - 11th
In this length activity, students answer five multiple choice questions concerning lengths using rules of various figures including, triangles, rhombus, diamonds, and circles.
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Pythagorean Theorem

For Teachers 8th - 10th
Pupils use the Pythagorean Theorem to solve problems. In this geometry lesson, students identify the different parts of a right triangle. They identify the hypotenuse and the right angle and sides of a triangle.
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Pythagorean Theorem

For Teachers 8th - 12th
Students apply properties of Pythagorean to solve problems. For this geometry lesson, students identify the different parts of a right triangle using ratios. they solve problems using squares and square roots.
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Special Right Triangles

For Teachers 7th - 9th
Students identify the different parts of a right triangle. For this geometry lesson, students use the Pythagorean Theorem to identify missing sides and angles of a right triangle. They work with irrational and rational roots.
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How Far Am I Traveling

For Teachers 9th - 11th
Students solve for missing sides using the Pythagorean theorem. In this algebra lesson, students derive the six trigonometric values using the right triangle. They relate the Pythagorean theorem to the distance formula.
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Triangle Tango: Special Right Triangles

For Teachers 8th - 10th
Students investigate properties of special right triangles. For this geometry lesson, students use the Pythagorean Theorem to solve for missing angles and sides. They perform reflections.
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Pythagorean Theorem

For Students 5th - 10th
In this Pythagorean theorem worksheet, students use the Pythagorean theorem to find the missing side of the triangles. Students complete 8 problems total.
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Geometry in Football

For Teachers 8th - 10th
Pupils use the pythagorean theorem to solve problems. In this geometry lesson, students relate football to math and the coordinate plane. They calculate the perimeter, area and distance.
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The Pythagorean Theorem

For Students 9th - 11th
In this geometry worksheet, learners solve missing parts of a triangle using the Pythagorean Theorem. There are 19 questions with an answer key.
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Pythagorean Theorem

For Teachers 8th - 10th
Students investigate the properties and idea of the Pythagorean Theorem. In this algebra instructional activity, students identify the different parts of a right triangle and relate it to the Pythagorean Theorem. They do a robotic...
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Pythagorean Theorem

For Teachers 9th - 10th
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify different parts of a right triangle. They use the Pythagorean Theorem to calculate missing angles and sides.
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The Pythagorean Theorem

For Teachers 9th - 10th
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the missing parts of a triangle and use ratio and proportions correctly. They find the missing lengths of the sides and the missing angles...
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Pythagorean Theorem: Triangles and Their Sides

For Teachers 8th - 10th
Pupils investigate triangles and their relationship to each other. In this geometry activity, students solve right triangles using the properties of the Pythagorean Theorem. They differentiate between right, acute, straight and oblique...
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Pythagorean Circles

For Teachers 9th - 10th
Students solve problems using smaller steps. In this geometry instructional activity, students find the diagonals of rectangles and the area of the annulus between two circles. They are given the starting point and the radius.
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Pythagorean Theorem

For Teachers 9th - 10th
Students solve problems using the Pythagorean Theorem. In this geometry lesson plan,students identify the right angle, hypotenuse and legs of a right triangle. They find the missing sides using the ratios of the Pythagorean theorem.
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Seventeen Math Regents Exam Pythagorean Theorem Questions

For Students 8th - 10th
For this Pythagorean Theorem worksheet, students solve seventeen Math Regents Exam questions using the Pythagorean Theorem.  The solutions are provided.
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Area of a Triangle

For Teachers 9th - 11th
In this geometry worksheet, students solve problems by finding the area of a triangle. They are given the sides and asked to solve using the Pythagorean Theorem. There are 72 problems.
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Right Trianlges: Missing lenght

For Students 10th Standards
In this geometry learning exercise, 10th graders use the Pythagorean Theorem to find the indicated missing side of a right triangle.  The one page learning exercise contains one problem.   Answers are not provided. 
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Pythagorean Theorem

For Teachers 7th - 12th
Students investigate the Pythagorean Theorem.  In this seventh through twelfth grade geometery lesson, students explore the Pythagorean Theorem and its converse and use it to find the length of the missing side of a right triangle.
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Math Worksheet: Geometry Problem (3)

For Students 9th - 11th
In this geometry worksheet, students find the missing side of a triangle within a triangle. Students use sine and cosine relationships as well as the Pythagorean Theorem.
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The Pythagorean Theorem- and More

For Teachers 10th
Tenth graders construct a triangle and analyze all the angles. In this geometry lesson, 10th graders investigate triangles using the Pythagorean Theorem. They differentiate between obtuse and acute angles.
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Pythagorean Theorem for Algebra I

For Students 8th - 9th
In this Pythagorean theorem for algebra I worksheet, students answer 10 problems finding the missing side of a right triangle using the Pythagorean theorem.
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NUMB3RS Activity: To Pythagoras and Beyond

For Teachers 9th - 12th
Students investigate the law of cosines. In this law of cosines lesson, students solve a problem based on a NUMB3RS episode. Students find the missing lengths of non-right triangles. Students determine if a triangle is acute, obtuse, or...
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Pythagorean Theorem

For Students 7th - 10th
In this Pythagorean Theorem worksheet, learners use the Pythagorean Theorem to find the missing side of a triangle. Students complete 10 problems.
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Pythagorean Theorem

For Students 7th - 10th
In this Pythagorean theorem worksheet, students use the Pythagorean theorem to find the missing side of the triangle. Students complete 10 problems.
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Pythagorean Theorem

For Teachers 6th - 10th
In this Pythagorean theorem worksheet, students use the Pythagorean theorem to find the missing side of the triangle. Students complete 10 problems.
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The Converse of the Pythagorean Theorem

For Teachers 10th
Tenth graders investigate the converse of the Pythagorean Theorem.  In this geometry lesson plan, 10th graders explore the Pythagorean Theorem as a means to determine if a triangle is acute, right, or obtuse. 
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President Garfield’s Proof of the Pythagorean Theorem

For Teachers 10th
Tenth graders investigate the Pythagorean Theorem.  In this geometry lesson, 10th graders explore a proof of the Pythagorean Theorem with is attributed to President James A. Garfield in 1876.  Cabri Jr. is required to replicate the...
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Pythagorean Theorem Practice

For Teachers 7th - 10th
In this geometry skills worksheets, students examine 10 triangles and use the Pythagorean theorem to identity the lengths of the missing units.
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Visit the Rich History of Geometry Using the Ti-92

For Teachers 9th - 12th
Students explore the concept of geometric history. In this geometric history lesson, students find lunes using a graphing calculator. Students use their knowledge of perpendicular bisectors, medians, and altitudes to construct lunes....
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The Pythagorean Theorem, the Distance Formula, and Slope

For Teachers 9th - 12th
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.
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Pythagorean Theorem Triples

For Teachers 9th - 12th
High schoolers research the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson plan, students use the Internet to learn about the Pythagorean Theorem. High schoolers construct proofs of the Pythagorean Theorem.
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Pythagoras' Theorem

For Students 8th - 9th
In this Pythagorean Theorem worksheet, students use the Pythagorean Theorem to determine the length of a missing side. They calculate surface area of a prism. This two-page worksheet contains 4 multi-step problems.
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Snake Eyes

For Teachers 9th - 10th
Pupils find the area of a sector. In this geometry lesson, students use the Pythagorean theorem to find the area of the pupil of a snake's eye. The problem and solution are provided on the printable worksheet, but no other activity or...
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Tangents to Circles

For Students 10th
In this tangents to circle worksheet, 10th graders solve and complete 10 different types of problems. First, they find the value of x to the nearest tenth. Then, students name two pairs of congruent segments. They also find the indicated...
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The Distance Formula

For Students 10th
For this distance formula worksheet, 10th graders solve and complete 13 various types of problems. First, they find the distance between the points and give their answer in simplest radical form. Then, students find the perimeter of a...
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Right Triangles

For Students 10th
In this right triangles worksheet, 10th graders solve and complete 42 different types of problems. First, they find the square root and length of the hypotenuse. Then, students find the missing side length of the right triangles shown....
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The Converse of the Pythagorean Theorem

For Students 8th - 9th
In this Pythagorean theorem worksheet, students solve and complete 7 different problems. First, they define what a converse is and the meaning of the Pythagorean theorem. Then, students determine the triangle formed when given the side...
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Chapter 11 Practice Test: Radical Equations

For Students 9th - 11th
In this radical equations worksheet, students solve radical equations. They use the Pythagorean Theorem to find the missing side of a triangle. Students find the distance between two points. They solve equations using the quadratic...
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Practice 8-1: The Pythagorean Theorem and Its Converse

For Students 10th - 12th
In this Pythagorean Theorem activity, students determine the length of the missing leg of a triangle. They find the length of the hypotenuse. Students examine length of sides of a triangle and classify each triangle as acute, obtuse or...
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Pythagorean Theorem Worksheet

For Students 8th - 11th
In this Pythagorean theorem activity, students solve 24 problems in which they find the missing side of a ride triangle given the length of 2 sides.
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Radicals

For Students 9th
In this radicals activity, 9th graders solve and complete 16 different problems that include various radical expressions. First, they simplify each radical expression. Then, students use the Pythagorean Theorem to find each missing...
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The Pythagorean Theorem

For Students 9th
In this Pythagorean theorem worksheet, 9th graders solve and complete 8 different problems that include using the Pythagorean theorem to solve. First, they find the missing measure in each right triangle. Then, students make a drawing...
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The Pythagorean Theorem

For Students 9th
In this Pythagorean theorem activity, 9th graders solve and complete 16 different problems that include using the Pythagorean theorem to solve each one. First, they find each missing measure given the hypotenuse of a right triangle....
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Exploring the Pythagorean Theorem

For Students 9th
In this Pythagorean theorem worksheet, 9th graders solve and complete 16 different problems that include applying the Pythagorean theorem to solve algebraic equations. First, they determine the missing side length of each triangle...
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Applying the Pythagorean Theorem

For Students 9th
In this Pythagorean theorem activity, 9th graders solve and complete 17 different problems that include applying the Pythagorean theorem to each situation. First, they find the length of the third side to the nearest tenth of a unit...
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Mean Twisters - Mean Proportional

For Students 9th - 10th
In this mean proportional worksheet, students work in pairs to solve right triangle problems. They use ratios and proportions of similar triangles to determine a missing length. This two-page worksheet contains 16 problems.
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Pythagorean Theorem

For Students 8th - 10th
In this Pythagorean Theorem worksheet, students explore examples and explanations about the Pythagorean Theorem. Afterward, they apply the Pythagorean Theorem to models and real world story problems. This ten-page worksheet contains...
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Pythagorean Theorem

For Students 8th - 9th
In this Pythagorean Theorem worksheet, students determine the length of a missing side of triangles. They read story problems, draw diagrams, and use the Pythagorean Theorem to solve real life problems. This one-page worksheet contains...
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Pythagorean Theorem Word Problems

For Students 10th
In this Pythagorean theorem worksheet, 10th graders solve 10 different word problems that include using the Pythagorean theorem in each. First, they determine the height of an equilateral triangle. Then, students determine the length of...
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Geometric Mean and the Pythagorean Theorem

For Students 10th
For this geometric mean and Pythagorean Theorem worksheet, 10th graders solve 9 problems related to determining the geometric mean by applying the Pythagorean Theorem in each problem. First, they find the geometric mean between each pair...
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Linear/Planar Geometry - Week 5

For Teachers 12th - Higher Ed
In this linear and planar geometry worksheet, young scholars use the Pythagorean Theorem, equation of a line, slope of a line and area formulas to solve problems. This three-page worksheet contains seven problems.
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Extra Practice 44: Solving Problems Using Quadratic Equations

For Teachers 9th - 10th
In this quadratic worksheet, students read short stories, write quadratic equations and use their problem solving skills to solve the equation. Students use the Pythagorean Theorem to find the length of a diagonal, dimensions of a...