Oswego City School District
Regents Exam Prep Center: Length of a Line Segment (Distance)
Use the coordinate plane and Pythagorean theorem to determine the length of a line segment. Click on the "Topic Index" to find a related practice exercise and teacher resource.
Analyze Math
Analyze Math: Triangle Problems
Here are five triangle problems to solve using the Law of Sines, Law of Cosines, Pythagorean Theorem, and trigonometry. All problems have detailed written solutions included.
Physics Classroom
The Physics Classroom: Motion and Forces in Two Dimensions: Component Addition
In this physics tutorial, students learn how to approach more complex vector addition situations by combining the concept of vector components and the principles of vector resolution with the use of the Pythagorean theorem.
Khan Academy
Khan Academy: Distance Between Two Points
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...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Squares on a Coordinate Grid
The purpose of this task is to use the Pythagorean Theorem and knowledge about quadrilaterals in order to construct squares of different sizes on a coordinate grid. Aligns with G-GPE.B.7.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Triangle Perimeters
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...
Illustrative Mathematics
Illustrative Mathematics: F Tf Special Triangles 1
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.
Illustrative Mathematics
Illustrative Mathematics: F Tf Special Triangles 2
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.
Other
Mathway: Algebra Formulas
Comprehensive resource provides algebra formulas for exponents, absolute value, factoring Pythagorean Theorem, linear equations, quadratic formula, distance formula, midpoint formula, and slope of a line through two points.
Illustrative Mathematics
Illustrative Mathematics: 8.g.b.7: Spiderbox
The purpose of this task is for students to work on their visualization skills and to apply the Pythagorean Theorem. Aligns with 8.G.B.7.
Illustrative Mathematics
Illustrative Mathematics: 8.g a Rectangle in the Coordinate Plane
In this task, 8th graders are shown a picture of a quadrilateral on a coordinate grid and are asked to use the Pythagorean Theorem to find lengths and to explain why the quadrilateral is a rectangle. Aligns with 8.G.B.
Illustrative Mathematics
Illustrative Mathematics: 8.g Glasses
In this task, 8th graders are presented with a drawing of three glasses of different shapes and their measurements. They are asked to make several calculations that require the application of the Pythagorean Theorem and volume formulas....
Illustrative Mathematics
Illustrative Mathematics: 8.g, G Srt Points From Directions
For this problem, students 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...
Illustrative Mathematics
Illustrative Mathematics: 8.g Area of a Trapezoid
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.
Illustrative Mathematics
Illustrative Mathematics: 8.g Two Triangles' Area
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.
Illustrative Mathematics
Illustrative Mathematics: 8.g.7 Running on the Football Field
This task asks students to apply the Pythagorean Theorem to find the approximate number of yards two players ran during a football game and compare their distances. Aligns with 8.G.B.7.
Other
Gobierno De Navarra: Teorema De Pitagoras
Interactive figures to learn about the Pythagorean Theorem.
Alabama Learning Exchange
Alex: The Clock Tower
This project resulted from the collaboration of a computer aided drafting teacher (pre-engineering), Chris Bond, and a math teacher, Lee Cable, (Hewitt-Trussville High School) to provide higher math expectations in CT and real life...
Shodor Education Foundation
Shodor Interactivate: Squaring the Triangle
Learn about how the Pythagorean Theorem works through investigating the standard geometric proof.
Khan Academy
Khan Academy: The Sat Math Test: Additional Topics in Math
Math questions on the test fall into different categories; one of these domains is Additional Topics in Math: questions that ask about geometry and complex numbers. The additional topics include essential geometric and trigonometric...
CK-12 Foundation
Ck 12: Interactive Geometry: 10.2 Equations of Circles
Derive the equation of a circle with the help of the Pythagorean Theorem.
PBS
Pbs Learning Media: Formulas: Targeted Math Instruction
At the end of this lesson plan about formulas, young scholars will be able to identify and apply the correct formula for a given situation, solve for any unknown component of the formulas for perimeter, circumference, and area of regular...
World History Encyclopedia
World History Encyclopedia: Greek Mathematics
Discusses the major cultural influences on the development of mathematics in ancient Greece, and how the Greeks went on to surpass those cultures. The work of the Pythagoreans and of Euclid are described, along with some famous...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: El Teorema De Pitagoras
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.]