Illustrative Mathematics
Area of a Trapezoid
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Noyce Foundation
Between the Lines
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
Curated OER
Pythagorean Theorem
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...
Curated OER
The Pythagorean Theorem
Seventh graders relate the Pythagorean theorem to the real world. For this algebra lesson, 7th graders identify important properties of the Pythagorean theorem and use it to solve word problems. They create a step by step plan to...
Curated OER
Pythagorean Theorem
Students find the different ratios of a triangle. In this geometry lesson, students use the Pythagorean Theorem to solve for missing sides and angles on a right triangle. They use a robot to create a right triangle.
Curated OER
Pythagorean Theorem
Students explore the history of Pythagoras and his contributions to mathematics. In this middle school geometry lesson, students use one inch tiles to investigate the Pythagorean Theorem and to find the length of the sides of a right...
Curated OER
History / Introduction of Pythagorean Theorem
Learners explore Pythagoras and the history behind his theorem. They work together to solve a proof that is embedded in the lesson.
Curated OER
Mathematics - Squares, Square Roots
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.
Curated OER
Pythagorean Theorem
Students investigate the concept of the Pythagorean Theorem. After conducting independent practice to find the hypotenuse of a triangle, they work with the teacher using examples in the lesson plan. The direct instruction is delivered...
Curated OER
Pythagorean Theorem
In this Pythagorean theorem worksheet, students use the Pythagorean theorem to find the missing side of the triangles. Students complete 8 problems total.
Balanced Assessment
Refiguring Pythagoras
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...
Del Mar College
Formulas for Elementary and Intermediate Algebra
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.
101 Questions
Taco Cart
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...
101 Questions
Snail's Pace
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...
Math Mammoth
Pythagorean Theorem; Math Mammoth.com
In this math worksheet, learners check to see if two triangles are right triangles by using the Pythagorean theorem. When given two sides of a right triangle, students find the third side. They use the Pythagorean theorem to find the...
Curated OER
Areas of Geometric Shapes with the Same Perimeter
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different...
Curated OER
The Pythagorean Theorem
Students 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
Find the Missing Side of the Right Triangle
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.
Curated OER
Flying with Pythagoras
A lengthy narrative about Pythagoras and his students precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided.
Curated OER
Picking Pythagoras
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...
DiscoverE
Build a Cable-Stayed Bridge
Large or small, bridges are architectural wonders! Construct a large-scale cable-stayed bridge during a whole class project. Scholars work in groups to erect the towers, build the roadway, and secure the cables of their very own bridges....
Curated OER
The Pythagorean Theorem
Students explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students discuss how the Pythagorean Theorem is used in their lives. Students imagine building a lean-to that is 3 ft. high and 4...
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.
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 lesson that explores right triangles and measurement. Full of discussion questions and fun...