Curated OER
Pythagorean Theorem
Eighth graders draw right triangles and identify the parts of a right triangle: right angle, interior and exterior angles, hypotenuse and legs. They predict and identify any relationships that exist between the sides of a right...
Curated OER
Using the Pythagorean Theorem
Students apply the Pythagorean Theorem to solve real-world problems. They draw diagrams based on written descriptions to calculate the examples.
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson plan of this 25-part module. Using the Pythagorean Theorem, scholars collect data on...
Illustrative Mathematics
Eratosthenes and the Circumference of the Earth
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
Curated OER
Pythagorean Theorem
Young scholars solve right triangles using the Pythagorean Theorem. In this solving right triangles using the Pythagorean Theorem lesson, students find the missing side of a right triangle. Young scholars find the hypotenuse given two...
Curated OER
The Pythagorean Theorem
Young scholars research Pythagoras and learn how to apply his theorem. They solve real life problems using the theorem and demonstrate knowledge of exponents, equations, and radicals. Students include diagrams in their research papers.
Curated OER
Pythagorean Relationships
Oh that Pythagorean Theorem is so useful. Learners engage in a 45 minute learning activity that requires them to solve for missing angles and sides of a right triangle. They'll use the Pythagorean Theorem to find the rations of sides and...
Virginia Department of Education
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Curated OER
How Far Am I Traveling
Pupils solve for missing sides using the Pythagorean theorem. In this algebra instructional activity, students derive the six trigonometric values using the right triangle. They relate the Pythagorean theorem to the distance formula.
Curated OER
Slope Right Up
Middle schoolers use triangles to find the length and slope of each side. After connecting the vertices, they add points based on their specific instructions. They use the Pythagorean Theorem to complete a worksheet to end the lesson.
Curated OER
Navy Sail Design
Students use the Pythagorean Theorem to explore sailboat design. In this Pythagorean Theorem lesson, two sides of a triangular sail are measured, and the theorem is used to calculate the third side. A worksheet, bulletin board design,...
Curated OER
Geometry In the Yard
Students are responsible for creating a border around a triangular garden spot, of which they know the measurements for two sides. They use the Pythagorean Theorem to calculate the third side and complete the garden.
Pennsylvania Department of Education
Kites: On the Right Track
Students use the Pythagorean theorem to discover the relationships between the lengths of sides of a right triangle. In this right triangles lesson plan, students use their reasoning and mathematical skills.
Curated OER
Roll It! Creating an Entrance Ramp
Pupils explore the concept of triangles. In this triangles lesson, students are to propose a plan for a ramp at their school. Pupils use the Pythagorean Theorem and trigonometry to determine the length, height, and angle of the ramp. ...
Curated OER
Investigating the Pythagorean Triples
Students investigate the Pythagorean triples. In this geometry instructional activity, students solve for different parts of a right triangle. They identify the missing side or angle using the pythagorean theorem.
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the different...
Curated OER
Pythagorean Circles
Students solve problems using smaller steps. In this geometry lesson, students find the diagonals of rectangles and the area of the annulus between two circles. They are given the starting point and the radius.
Mathalicious
Been Caught Stealing
You're safe, when calculating the odds of stealing second base! Learners compare the rate of a runner to the distance the ball travels, in a instructional activity that explores right triangles and measurement. Full of discussion...
Curated OER
Investigating Pythagorean Triples
Students investigate and solve Pythagorean triples. In this geometry lesson plan, students find the missing sides and angles of a right triangle. They graph right triangles and move the sides around to create different angles.
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Curated OER
Special Right Triangles
Using the Pythagorean Theorem to solve for missing angles, learners evaluate right triangles and their properties.
Curated OER
Investigating Triangles 1
Students independently investigate the Pythagorean Theorem. They are given a set of triangles that involve whole number Pythagorean Triples. The main focus of the lesson is exploration rather than discovering the Pythagorean Theorem.
Curated OER
Mathematical Proofs
Students explore the nature of mathematical proofs and mathematical inquiry. They complete the activity "Using the Pythagorean Theorem". They read selected articles and participate in class discussions.