Curated OER
Worksheet 6: Functions
In this math worksheet, learners answer 7 questions having to do with continuous functions, the Squeeze Theorem, and the Product Rule for differentiation.
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Neighborhood Map
Find the distance between various locations in a neighborhood. Scholars use the interactive to find distances between locations on a map. The map is overlaid onto a grid to provide coordinates for each location, and pupils apply...
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Distance Between Friends
Pupils use an interactive to help visualize the right triangles needed to calculate distances between friends' houses. Individuals solve five problems on how to determine distances and comparing the distances.
Curated OER
Pascal's Theorem
In this Pascal's Theorem worksheet, learners prove 1 theorem. Students use GeoGebra to construct lines given three points and prove Pascal's Theorem.
Annenberg Foundation
Geometry 3D Shapes: Euler's Theorem
How do you get a theorem named after you? Euler knows what it takes! The third lesson of five asks pupils to use an interactive activity to compare the faces, vertices, and edges of seven different three-dimensional solids. They use...
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...
Curated OER
The Notorious Four-Color Problem
Take a walk through time, 1852 to 2005, following the mathematical history, development, and solution of the Four-Color Theorem. Learners take on the role of cartographers to study a United States map that is to be colored. One rule: no...
Charleston School District
3D Applications of the Pythagorean Theorem
How many right triangles can you find in a prism, cone, or pyramid? Using right triangles to find lengths in three-dimensional figures is the focus of the lesson. After working with the Pythagorean Theorem to find missing side lengths...
Curated OER
Senior Analysis
A good review instructional activity on simplifying rational expressions, solving equations with factorials, solving problems on permutations and combinations, and using the Binomial Theorem.
Curated OER
Volume of Solids
In this volume of solids activity, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of the...
Curated OER
Fish Tale
Here is a cute problem that requires visualizing two-dimensional shapes within a three-dimensional object, and using properties of triangles and the Pythagorean theorem to solve a real-world problem. There is a small mistake in this...
Curated OER
Pythagorean Theorem Worksheet
In this geometry worksheet, 10th graders use the Pythagorean Theorem to find the length of the unknown side of the right triangle. The one page interactive worksheet contains twelve questions. Answers and hints are included.
Curated OER
Pythagorean Theorem Worksheet
In this online math worksheet, students use the Pythagorean Theorem to determine if given triangles are "right" triangles. This excellent resource allows the students to check their answers, and to get "hints" should they run into...
Curated OER
Stokes' Theorem (and some review!)
In this calculus worksheet, students answer 4 short answer questions each about Green's Theorem and Stokes' Theorem. Questions require students to rephrase each theorem and tell when they may be used. Students solve questions using...
Curated OER
The Pythagorean Theorem
Students create both a visual and formal proof of the Pythagorean theorem, as well as view four additional geometric demonstrations of the theorem. They construct a square and conjecture the following theorem: The sum of the areas of...
Curated OER
Fundamental Theorem of Algebra
In this worksheet, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.
Curated OER
The Triangle Midsegment Theorem
For this geometry worksheet, 10th graders identify the vocabulary associated with the Triangle Midsegment Theorem and solve problems in which they find the size of a missing angle or segment. The one page worksheet contains nineteen...
Curated OER
Euler's Theorem
In this Euler's Theorem worksheet, 10th graders solve and complete 15 various types of problems. First, they find the distance and midpoint of a segment given its endpoints. Then, students identify the number of vertices, edges, and...
Curated OER
Geometry Regents Questions: Isosceles Triangle Theorem
In this isosceles triangle worksheet, students solve 19 multiple choice and short answer problems. Students use the isosceles triangle theorem to determine unknown angle measures.
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the class...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Shodor Education Foundation
Squaring the Triangle
Teach budding mathematicians how to square a triangle with an interactive that shows a graphical proof of the Pythagorean Theorem. Pupils alter the lengths of the legs using sliders. Using the inputted lengths, the applet displays the...
Shodor Education Foundation
Pythagorean Explorer
Make sure the measurement is right. The interactive provides right triangles with a missing side measurement. Pupils use the given sides and the Pythagorean Theorem to calculate the length of the missing side. After entering the length,...
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