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Cut the Knot!: Interactive Mathematics: Geometry Articles, Theorems, Problems WebsiteCut the Knot!: Interactive Mathematics: Geometry Articles, Theorems, Problems Website
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Cut the Knot
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Cut the Knot!: Interactive Mathematics: Geometry Articles, Theorems, Problems

Curated by ACT

Contains over five hundred Geometry articles, problems, puzzles, and games. Some sites relating to circles are provided within this list.

3 Views 1 Download
Concepts

geometric constructions, magic squares, number systems, paradoxes, probability, archimedes
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Additional Tags
al, base conversion, chaos, games, generalization, geometry, group theory, interactive education, radix, rapid, recurrence, solving puzzles, ceva theorem, cut the knot!: interactive mathematics: geometry articles, theorems, problems, cut the knot!, cycloids, epicycloids, eye opener series, farey series, game of logic, geometry articles, theorems, problems, hanoi tower, hausdorff dimension, hypocycloids, interactive mathematics, josephus flavius, julia set, loyd, mandelbrot set, moebius strip, napoleon's theorem, nim, nimble, non-euclidean geometries, northcott, peano curve, pick's theorem, ptolemey's theorem, sierpinski, sliders, space filling curves, stern-brocot tree, tower of hanoi, arbelos, circle, construction, cryptarithms, emergence of chaos, groups of permutations, permutation, puzzles and games, ruler, selfreference
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Resource Details
Grade
9th - 10th
Subjects
Math
1 more...
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Websites
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For Administrator Use
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Lesson Plan

Thales’ Theorem

EngageNY
Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...
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Lesson Plan

Ptolemy's Theorem

EngageNY
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
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Printables

High School Mathematics Geometry Vocabulary Word Wall Cards

Virginia Department of Education
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...
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Unit Plan

Interactive Mathematics: The Binomial Theorem

Interactive Mathematics
This tutorial contains detailed information about the Binomial Theorem. Includes practice exercises and interactives.
9th - 10th Math
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Handout

Cut the Knot!: Fundamental Theorem of Algebra

Cut the Knot
Contains detailed historical information regarding the Fundamental Theorem of Algebra and the various proofs that were developed. Click on the links at the bottom of the page to access all the information.
9th - 10th Math
CCSS: Designed
Activity

Interactive Mathematics: Graphs of the Trigonometric Functions

Interactive Mathematics
The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
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Instructional Video

Khan Academy: Geometry: Ca Geometry: Pythagorean Theorem, Compass Constructions

Khan Academy
This video tutorial demonstrates solutions to problems #51-55 of the California Geometry released state test questions. Problems address proving and using the Pythagorean theorem and compass constructions. [12:35]
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Website

Cut the Knot!: Mathematics as a Language

Cut the Knot
A sophisticated discussion on the language of mathematics, its origins, meanings, and precision.
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Interactive

Pythagorean Theorem to Determine Distance: Ladders

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Young mathematicians to the rescue! Pupils use an interactive to find lengths relating a ladder against a building. The problems involve determining how long a ladder must be to reach a given floor to what floor can a given ladder reach.
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Handout

Cut the Knot!: Pythagoras' Theorem

Cut the Knot
This site explains the Pythagorean theorem, giving a proof from Euclid, and gives a great interactive visual aid with a good explanation with it.
9th - 10th Math
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