Worksheet
Curated OER

The Theorem of Pythogoras

For Students 9th - 10th
In this geometry worksheet, students solve right angle triangles using the Pythagorean Theorem. They calculate the area and sides of triangles and circles. There are 52 questions total.
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
Lesson Plan
Curated OER

Investigating AAS

For Teachers 9th - 10th
Students investigate the theorems of ASA, AAS, AAA and ASA. In this geometry lesson, students discuss the theorems of triangles and how it is used to solve for missing sides or angles. They review how two angles are formed by two rays...
Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 10th
In this geometry worksheet, 10th graders solve for missing sides and angles of a triangle. They use the pythagorean theorem to solve for the unknown in a right triangle. There are 5 questions on this worksheet.
Lesson Plan
Curated OER

Triangle Sum Theorem

For Teachers 10th
Tenth graders investigate the theorems of angles and lines to prove triagle sum theorem. In this geometry lesson, 10th graders discuss the theorems of triangles and how it is used to solve for missing sides or angles. They review how two...
Lesson Plan
Curated OER

Proving the Pythagorean Theorem

For Teachers 9th - 11th
Students solve problems using the pythagorean Theorem. In this geometry lesson, students complete proofs using the Pythagorean Theorem. They share their proofs and solutions with their classmates and family members.
Lesson Plan
Curated OER

Measuring the Egyptian Way using the Pythagorean Theorem

For Teachers 9th - 10th
Students measure using the Pythagorean Theorem. In this geometry lesson, students solve right triangles using the properties of the Pythagorean theorem. They apply the same knowledge to solving story problems.
Interactive
Curated OER

Circle Theorem

For Students 8th - 10th
In this geometry worksheet, students draw an illustration of a circle centered between two points. They draw three line segments. Students answer two questions about the resulting angles. A sample, interactive drawing is included with...
Lesson Plan
Curated OER

Geometry Exploration Basic Trig Functions

For Teachers 10th
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the...
Worksheet
Curated OER

Finding the Shortest Total Distance possible

For Students 10th - 11th
In this geometry worksheet, students solve the problem of finding the shortest total distance traveling in straight lines.  The solution is provided.
Lesson Plan
Curated OER

Pythagorean Theorem Investigation

For Teachers 8th
Eighth graders investigate the Pythagorean Theorem and practice applying the theorem to various triangles. Finally, in the next lesson in the sequence, 8th graders create a song or a story to help them remember the Pythagorean Theorem.
Lesson Plan
Curated OER

Pythagorean Theorem Proof

For Teachers 10th
Tenth graders investigate the Pythagorean Theorem. Then they type up a formal paragraph proof of a proof of their choice.
Lesson Plan
Curated OER

Pick's Theorem

For Teachers 9th - 11th
Students investigate polygons and their lattice. In this calculus lesson, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the interior lattice.
Worksheet
Curated OER

Standardized Geometry Test Practice

For Students 10th
In this angles, lines and figures review worksheet, 10th graders solve and complete 33 standardized multiple choice problems. First, they use the Segment Addition Postulate to solve for a variable given an equation for each line. Then,...
Lesson Plan
EngageNY

The Power of Algebra—Finding Pythagorean Triples

For Students 10th - 12th Standards
The Pythagorean Theorem makes an appearance yet again in this lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity. 
Lesson Plan
EngageNY

Segments That Meet at Right Angles

For Teachers 9th - 12th Standards
Can segments be considered perpendicular if they don't intersect? Learners look at nonintersecting segments on the coordinate plane and make conclusions about the lines that contain those segments. They determine if they are...
Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 5th - 11th
Students examine the patterns in Pascal's Triangle. In this recognizing lesson, students view a model of Pascal's Triangle and describe the patterns of the multiples. Students identify the shapes that are made within Pascal's Triangle.
Lesson Plan
Virginia Department of Education

How Many Triangles?

For Teachers 9th - 11th Standards
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the...
Lesson Plan
Illustrative Mathematics

Joining Two Midpoints of Sides of a Triangle

For Teachers 9th - 11th Standards
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...
Assessment
Illustrative Mathematics

Coordinates of Equilateral Triangles

For Students 9th - 12th Standards
Can it be constructed? The task poses the question whether it is possible to have an equilateral triangle with its vertices located at integer coordinates. Pupils work with their knowledge of trigonometric ratios and the Pythagorean...
Unit Plan
Radford University

Natural Disaster Recovery and Quadrilaterals: Fencing and Roofing Materials

For Students 9th - 12th Standards
Storm into a better understanding of geometry. Using a tornado as a backdrop, scholars practice their skills finding perimeters and areas of rectangles. Learners apply their knowledge of the Pythagorean Theorem to find missing sides of...
Performance
Radford University

Getting Around Millbrook

For Teachers 9th - 12th Standards
When is the distance formula not accurate? Referencing a map of the school, pairs determine the walking distance between two locations. Creating coordinates for each location, pupils determine the distance between the two points and...
Lesson Plan
Curated OER

Tennis Balls in a Can

For Teachers 9th - 10th Standards
Make your classroom interesting by teaching or assessing through tasks. Deepen the understanding of Geometry and motivate young mathematicians. The task uses investigation with tennis balls and their container to prompt learners to...

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