Unit Plan
CK-12 Foundation

Ck 12: Geometry: Distance Formula in the Coordinate Plane

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to find the distance between two points using the distance formula. Students examine guided notes, review guided practice, watch...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Distance Formula in the Coordinate Plane

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students use the Distance Formula to find the distance between two points. Students examine guided notes, review guided practice, watch instructional...
Handout
National Council of Teachers of Mathematics

The Math Forum: Vector Length

For Students 9th - 10th Standards
Describes how to use the Pythagorean Theorem to find the length, or magnitude, of a vector.
Lesson Plan
Alabama Learning Exchange

Alex: Growing in a Triangle

For Teachers 6th - 8th
Middle school students explore the Pythagorean Theorem by measuring and calculating diagonal lengths using the Pythagorean Theorem. Students view an animated proof of the Pythagorean Theorem. They access an Internet site to view and...
Activity
Texas Instruments

Texas Instruments: Science Today Scientists Go Below to Find

For Teachers 9th - 10th
In this activity, using the USA TODAY Infograph "Scientists go below to find," students will graph a city's location by using latitude and longitude coordinates. Students will determine the distance to travel between cities using a...
Activity
Texas Instruments

Texas Instruments: From a Distance, You Can See It!

For Teachers 9th - 10th
In this activity, students find the distance between points using common fractions and decimals, with the concepts of midpoint and distance. They also learn to solve problems using the Pythagorean theorem.
Activity
Texas Instruments

Texas Instruments: Going Out of Business

For Teachers 6th - 8th Standards
In this activity, students use the Pythagorean theorem to compute the diagonals of rectangles.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Area of a Trapezoid

For Teachers 8th Standards
Eighth graders are given various dimensions of a trapezoid and are asked to find its area. This requires them to use the Pythagorean Theorem and to decompose the trapezoid into other polygons. Aligns with 8.G.B.7.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g, G Srt Points From Directions

For Teachers 9th - 10th Standards
For this problem, learners must carefully read the description of a triangle and a fourth point that lies outside it and draw a picture to represent the problem. They must then use the Pythagorean Theorem to find side lengths. Aligns...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Two Triangles' Area

For Teachers 8th Standards
In this task, 8th graders are given the dimensions of two isosceles triangles and are asked to compare their areas. They must draw them and use the Pythagorean Theorem and the triangle area formula to solve the problem. Aligns with 8.G.B.7.
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Square Roots Video

For Students 6th - 8th Standards
This video illustrates the concepts of square roots, slope, and the Pythagorean Theorem as they are used in designing and constructing skate park rails, ramps, and pipes. An interactive activity is also included where students are able...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Geometry

For Students 9th - 10th Standards
Practice using your graphing calculator for geometry problems, including the use of the Pythagorean Theorem and the distance formula. If you get stumped or if you would like to check your work, then select the View Solution button, which...
Handout
Purple Math

Purplemath: Distance Formula

For Students 9th - 10th Standards
A concise presentation of a lesson showing how the Distance Formula is really just the Pythagorean Theorem, and how it can be used to find the distance between two sets of coordinates.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Triangle Perimeters

For Teachers 9th - 10th Standards
Students are shown two triangles touching points on a coordinate grid and are asked to answer questions about their perimeters. The purpose of this task is to apply the Pythagorean theorem to calculate distances and areas. Aligns with...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 1

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, learners can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 2

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Website
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: The Distance Formula

For Students 9th - 10th Standards
Northeast Parallel Architecture Center, Syracuse University, provides a lesson on finding the distance between two points using the coordinates and Pythagorean Theorem.
Website
National Council of Teachers of Mathematics

The Math Forum: Famous Problems in the History of Mathematics

For Students 9th - 10th
On this site, there are several math problems to explore and solve. Look through some solutions by famous mathematicians and expand your thinking about some interesting math concepts. Teachers of elementary grades may want to use this...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt, G Mg How Far Is the Horizon?

For Teachers 9th - 10th Standards
Some friends are at the beach looking out onto the ocean on a clear day and they wonder how far away the horizon is. A second problem asks how far the horizon would be from the top of a mountain. Students must also answer a question...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: El Teorema De Pitagoras

For Students 9th - 10th Standards
In this unit you can gain some knowledge about the Pythagorean Theorem. You can learn about the famous mathematician, familiarize with the theorem and then use your knowledge to find the area of plane figures.
Unknown Type
Khan Academy

Khan Academy: Distance Between Two Points

For Students 7th - 8th Standards
In this exercise, students practice using the distance formula, which is derived from the Pythagorean Theorem, to find the distance between two points on a coodinate grid. Students receive immediate feedback and have the opportunity to...
Interactive
Calculator Soup

Calculator Soup: Right Triangles Calculator

For Students 9th - 10th Standards
Use this calculator to find the unknown angles in a right triangle using the Pythagorean Theorem. Once you know the sides you can calculate the perimeter, semiperimeter, area, and the altitudes.
Activity
CK-12 Foundation

Ck 12: Swimming Pools

For Students 9th - 10th
[Free Registration/Login Required] Students use knowledge of pythagorean theorem and pythagorean triple to determine the size and compare the size of the new pool to the old pools. Click learn more to watch a video and click challenge me...
Lesson Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: El Teorema De Pitagoras

For Teachers 9th - 10th Standards
Interactive resources and activities that could be used in the classroom either as an introduction or review to a unit dealing with the Pythagoras Theorem. [Requires Java.]