Discrete geometry | Mathematical problems | Geometric dissection | Recreational mathematics | Tessellation
Squaring the square is the problem of tiling an integral square using only other integral squares. (An integral square is a square whose sides have integer length.) The name was coined in a humorous analogy with squaring the circle. Squaring the square is an easy task unless additional conditions are set. The most studied restriction is that the squaring be perfect, meaning the sizes of the smaller squares are all different. A related problem is squaring the plane, which can be done even with the restriction that each natural number occurs exactly once as a size of a square in the tiling. The order of a squared square is its number of constituent squares. (Wikipedia).
In this video, we look at a very useful pattern found in squaring square roots
From playlist Middle School - Worked Examples
Squaring the circle illusion #shorts
How to make a shape that looks like a square from one direction and a circle from another. Buy from Shapeways: http://shpws.me/Te9N Download to print yourself: https://www.printables.com/model/270848-squaring-the-circle-illusion
From playlist 3D printing
Squaring Numbers with Digits of 1
#shorts This video shows a pattern when squaring number with digits of 1.
From playlist Math Shorts
Squaring the Circle by Rolling (animated visual proof)
This is a short, animated visual proof that we can square the circle IF we allow the circle to roll. Unfortunately, this is not a solution to the squaring the circle problem from antiquity because that requires it to be done with only a straightedge and compass. #mathshorts #mathvideo #m
From playlist Pi
Solving an equation by taking the square root of a fraction
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can just use inverse operations to isolate the variable.
From playlist Solve Quadratic Equations by Factoring
Solving using the square root method with fractions
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can just use inverse operations to isolate the variable.
From playlist Solve Quadratic Equations by Factoring
algebraic expressions
From playlist Common Core Standards - 7th Grade (Part 2)
Solving a quadratic equation using inverse operations
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can just use inverse operations to isolate the variable.
From playlist Solve Quadratic Equations by Factoring
Solving an equation by using the square root property - Math help
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can just use inverse operations to isolate the variable.
From playlist Solve Quadratic Equations by Factoring
AP Calculus BC: Lesson 2.4 Trigonometric Substitution
AP Calculus BC Unit 2: Advanced Integration Lesson 4: Trigonometric Substitution
From playlist AP Calculus BC
Calculus 7.3 Trigonometric Substitution
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
How To Factor Difference of Squares - Algebra
This algebra video tutorial explains how to factor difference of squares. It contains examples with parentheses and multiple variables.
From playlist New Algebra Playlist
AP Calculus BC Homework 2.4 Trigonometric Substitution
================================= AP Calculus BC / IB Math HL Unit 2: Advanced Integration Lesson 4: Trigonometric Substitution =================================
From playlist AP Calculus BC
Simplifying Numerical Square Roots 8 Examples
I introduce Simplifying Numerical Square Roots and then work through 8 Examples Square root of a perfect square 7:21 Simplifying a non perfect square 8:06 Simplifying a fraction 9:36 Square root of the sum of two numbers 11:20 Square root of a fraction. Denominator not a perfect square. 1
From playlist PreCalculus (New)
This calculus 2 video tutorial explains how to calculate the circumference of an ellipse using integration and the arc length formula and it explains how to estimate the circumference of an ellipse using a simple formula. Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA
From playlist New Calculus Video Playlist
Pythagoras' Theorem: Introduction
An introduction to Pythagoras' Theorem with interactive examples and illustrations. Introduction: 0:00 Discover Pythagoras Yourself (Graph Paper Needed!): 0:43 Visual Demonstration (Water Wheel):
From playlist GCSE Topic Tutorials
Integration into Inverse trigonometric functions using Substitution
This calculus video tutorial focuses on integration of inverse trigonometric functions using formulas and equations. Examples include techniques such as integrating by substitution, u-substitution, splitting fractions and completing the square. This video contains plenty of practice pro
From playlist New Calculus Video Playlist
Introduction to number theory lecture 40. Examples of positive definite forms
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We study some examples of positive defiite forms of small discriminant, and work out which
From playlist Introduction to number theory (Berkeley Math 115)
Maximize the area of one ellipse!
We look at a nice geometry problem involving ellipses inscribed in a circle. Sacred Mathematics: Japanese Temple Geometry: https://amzn.to/2ZIadH9 Playlist: https://youtube.com/playlist?list=PL22w63XsKjqyZZAicSHbpVhJzLPfPMJf6 Please Subscribe: https://www.youtube.com/michaelpennmath?sub
From playlist Geometry
How to solve a quadratic when there are no solutions
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can just use inverse operations to isolate the variable.
From playlist Solve Quadratic Equations by Factoring