Welcome to our comprehensive series of Advanced High School Mathematics Tutorials! This series is perfect for students, teachers, and anyone looking to deepen their understanding of higher-level mathematics. Each video breaks down...

We've learned about matrix diagonalization, which is a type of matrix decomposition. There are some others that we must learn, including LU decomposition, Cholesky decomposition, QR decomposition, and singular value decomposition. Let's...

To determine the area of a triangle, you use the formula: Area = 1/2 × Base × Height. This formula works because a triangle is essentially half of a rectangle or square. By identifying the base (the bottom side) and the height (the...

Maximizing Space: The Science of Packing Efficiency"

Packing efficiency, also known as packing fraction or atomic packing factor, is a measurement of how efficiently atoms or particles are packed in a crystal structure. Magnetic...

Join Mac Lesggy and interior designer Philippe Ponceblanc as they unveil the secrets to making small spaces appear larger without major renovations. This documentary explores innovative techniques like dual-aspect windows, strategic...

Do you need to learn an easier way to multiply fractions? Then this video is for you! I will show you how to use common factors to cancel or replace larger numbers with smaller ones making multiplying fractions much easier!

In this video we will explore how to the differences between long division and synthetic division between two polynomials



⭐️ 3 Easy Synthetic Division Problems -    • You Have To Know How To Divide T
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Philosopher of science James Robert Brown, University of Toronto, demonstrates a compelling “picture proof” of a basic result of number theory that appears to give us equal certainty to the standard mathematical proof by induction.

In this video, the teacher explains how to use the Pythagorean theorem in the coordinate plane to find the length of a segment. They walk through the steps of identifying the right triangle, finding the values of the legs, plugging...

In this video, the teacher explains how to find the length of a diagonal without using a ruler. They demonstrate the concept by creating squares and counting the units inside and outside the square. The teacher also introduces the...

👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Quantum coin flipping is the fairest way to flip a coin over the phone. How does it work?!

This video explains how fractional pieces that have different shapes can still be equivalent. By using cake models, the teacher demonstrates that one fourth of a rectangle and one fourth of a triangle are both equal to one fourth of a...

👉 Learn how to solve problems with kites. A kite is a four-sided shape (quadrilateral) with two equal pairs of adjacent sides and the diagonals are perpendicular. Some of the properties of kites are: each pair of adjacent sides are...

This nugget shows how shapes can be made to look the same by reflecting them through mirrors or rotating them through various turns.

n this video we will learn how to recognize a quadrilateral as trapezium & kite based on their properties

Learn how to create slope fields and sketch the particular solution to a differential equation. Slope fields are tools used to graphically obtain the solutions to a differential equation. It is the estimation of the graphical...

A fantastic co-operative play game that will have your group guessing, laughing and working together to find their way in Project Adventure Pathways!

In This Episode, Tyler Teaches Us About Finding the Measure of the Diagonal of a Rectangle

👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are...

Supertall skyscraper “The One” is set to become the tallest building in Canada at 309 meters once it is completed in Toronto later this year. <br/>

👉 Learn how to determine whether two triangles are similar given the coordinate points of the vertices of the triangle. Two triangles are said to be equal when the corresponding angles of the triangles are congruent (equal) or when the...

Performing diagonalization.