Flipped Math
Inverse Trig Ratios
Put trigonometric ratios into inverse. Scholars learn how to find an unknown angle in a right triangle by using inverse trigonometric ratios. The pupils understand how the inverses undo a trigonometric ratio to provide the angle measure....
CK-12 Foundation
Square Roots and Irrational Numbers: Estimating Radicals
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between...
Alabama Learning Exchange
"I Saw the Sine"
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
Curated OER
30-60-90 Right Triangles in Cabri Jr.
Young mathematicians draw and label right triangles using Cabri Jr. technology. They create other special right triangles and identify the length of the hypotenuse and each leg. Students explore the ratios to determine how the hypotenuse...
Curated OER
Integration: Geometry - The Pythagorean Theorem
In this math worksheet, students are given that c is the hypotenuse of a right triangle. Students must find 12 sets of missing measures. Students also use the Pythagorean Theorem to determine whether a given set of measures would form a...
Curated OER
Pythagorean Theorem
In this Pythagorean theorem learning exercise, students use the Pythagorean theorem to find the length of a missing side of a right triangle. This two--page learning exercise contains 15 problems.
Curated OER
A Real Life Example of the Distance Formula
Students answer the following question: "Using the lines of latitude and longitude, what is the distance (in degrees) if you were to travel from NASA Dryden to NASA Ames?" They use the distance formula to find the distance (measured in...
Curated OER
Pythagorean Theorem
Students explore the Pythagorean Theorem. In this math lesson plan, students apply the Pythagorean Theorem to real life situations. Students find the hypotenuse and solve real world problems.
Curated OER
Applying the Pythagorean Theorem to find Distances Between Cities
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the Pythagorean Triple and use it to solve real life problems.
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
Pythagorean Theorem
In this measurement lesson, learners examine the Pythagorean Theorem, perimeter, and areas of right triangles. They record their measurements and research their findings on a grid.
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
EngageNY
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
Charleston School District
Pythagorean Theorem and Converse
You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second...
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
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Virginia Department of Education
Pythagorean Theorem
Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.
West Contra Costa Unified School District
Pythagorean Theorem and Its Converse
Challenge scholars to prove the Pythagorean Theorem geometrically by using a cut-and-paste activity. They then must solve for the missing sides of right triangles.
Curated OER
Find the Radius of the Smallest Circle that Contains the Figure
In this geometry activity, students calculate the radius of the smallest possible circle that contains the figure provided. The complete solution is provided by clicking on the "show solution" button found below the problem.
Curated OER
Finding the Shortest Distance Between The Spider and The Fly
In this word problem activity, students solve for the shortest distance between a spider and a fly. The solution is provided.
Curated OER
Applying Special Right Triangles
In this geometry worksheet, 10th graders use the theorems regarding right triangles to find the missing length in a special right triangle. The one page worksheet contains eleven questions. Answers are included.
Curated OER
Pythagorean Theorem
For this pythagorean theorem worksheet, students identify the missing length of one side for 10 triangles. Each triangle gives the lengths of two sides and students must find the length of the third.
Curated OER
Right Triangles
In this right triangles worksheet, 10th graders solve 10 different problems that include determining the means proportionally in each right triangle. First, they use the given information to determine the measure of each line segment....
Curated OER
Extra Practice 44: Solving Problems Using Quadratic Equations
In this quadratic worksheet, learners read short stories, write quadratic equations and use their problem solving skills to solve the equation. Students use the Pythagorean Theorem to find the length of a diagonal, dimensions of a...