Illustrative Mathematics
Illustrative Mathematics: G Srt Shortest Line Segment From a Point P to a Line L
In this task, students develop an understanding that the shortest path from a point to a line always meets the line at a right angle. Aligns with G-SRT.C.8.
CK-12 Foundation
Ck 12: Trigonometry: Lengths of Sides in Isosceles Right Triangles
[Free Registration/Login may be required to access all resource tools.] Here you'll learn what an isosceles right triangle is, the relationships between the sides of an isosceles right triangle, and how to find the length of an unknown...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Slopes and Circles
The purpose of this task is to lead students through an algebraic approach to a well-known result from classical geometry, namely, that a point X is on the circle of diameter AB whenever angle AXB is a right angle. This consists of...
Illustrative Mathematics
Illustrative Mathematics: G C, G Srt Neglecting the Curvature of the Earth
Jerry and Ashley are trying to find out if it is possible to see the lowest point in the USA from the highest point in the USA. It turns out that the highest point in the United States, the peak of Mount Whitney, is only 85 miles from...
Cut the Knot
Cut the Knot!: Example of Convergent Infinite Series
This site explains the sum of a simple convergent series using a geometric illustration.
ClassFlow
Class Flow: Right Triangles
[Free Registration/Login Required] Use this flipchart to help your high school students understand right triangles using the Pythagorean Theorem.
Alabama Learning Exchange
Alex: How Tall Is the School's Flagpole?
The purpose of this lesson is to help students apply math concepts concerning similar triangles and trigonometric functions to real life situations. The students learn how to take these concepts and use them to find measurements of...
Oswego City School District
Regents Exam Prep Center: Mean Proportional in a Right Triangle
Material to supplement classroom instruction on mean proportional in a right triangle: a lesson with a definition of "mean proportional" as well as theorems with examples; an online multiple-choice quiz with answers; and guidelines for...
Harvey Mudd College
Mudd Math Fun Facts: Football Field
Here is a math problem using a football field as its basis. The solution to the problem involves the Pythagorean theorem.
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.
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.
CK-12 Foundation
Ck 12: Interactive Geometry: 7.7 Law of Cosines
Learn how the Law of Cosines uses the measure of angle C to provide an equation that relates the three sides of the triangle with angle C.
Sophia Learning
Sophia: Calculating the Surface Area of Pyramids
Surface area of pyramids is explored in this video resource. The lesson includes three detailed examples using a square, hexagonal, and triangular pyramid.
TeachEngineering
Teach Engineering: Stay in Shape
In this activity, students will learn that math is important in navigation and engineering. Ancient land and sea navigators started with the most basic of navigation equations (Speed x Time = Distance). Today, navigational satellites use...
TeachEngineering
Teach Engineering: Handheld Trigonometry
In addition to understanding the concept of similar right triangles and how they apply to trigonometric ratios, students explore a clinometer app, and discover how it can be used to test the mathematics underpinning trigonometry.
Other
Achieve: Miniature Golf Design Task [Pdf]
In this task students are asked to combine numerous skills to create a miniature golf hole. Students create a scale drawing of the hole, calculate the area of the hole and determine the percentage of total area used. In addition,...
TeachEngineering
Teach Engineering: Vector Voyage!
In this activity, students will use vector analysis to understand the concept of dead reckoning. Students will use vectors to plot their course based on a time and speed. They will then correct the positions with vectors representing...
Curated OER
45 45 90 and 30 60 90 Triangles
The formulas for 45-45-90 and 30-60-90 triangles and the use of the Pythagorean theorem to prove the formulas.
Ducksters
Ducksters: Physics for Kids: Basic Vector Math
Kids learn about basic vector math in the science of physics. How to add vectors using the head-to-tail method and the Pythagorean theorem. Example problems and the commutative and associative laws.
Other
Ctte: Geometer's Sketch Pad Activities
This site offers numerous activities for middle school and high school learners to explore using Geometer's Sketch Pad.
Pennsylvania State University
Pennsylvania State Univ.: Trilingual Packaging Dilemma
This site from the Pennsylvania State University provides a hands-on activity to bridge the gap between right triangles, 30-60-90 and 45-45-90 theorems, and trigonometry, and what every student wants to know, "When will I ever use this?"...
CK-12 Foundation
Ck 12: Algebra: Solving Equations With Fractional Exponents
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving equations where the variable has a rational exponent.
Curated OER
A 30 60 90 Degree Triangle
The formulas for 45-45-90 and 30-60-90 triangles and the use of the Pythagorean theorem to prove the formulas.
Curated OER
A 45 45 90 Degree Triangle
The formulas for 45-45-90 and 30-60-90 triangles and the use of the Pythagorean theorem to prove the formulas.