A naked singularity is something that should be a black hole, but it’s neither black nor a hole. If they exist, they’ll rewrite physics as we know it.

A beautiful proof of why slicing a cone gives an ellipse.

Pupil outcome: I can comprehend and summarise ‘The Boscombe Valley Mystery’. Key learning points: - Holmes and Watson have set out to solve the Boscombe Valley mystery. - It is believed Charles McCarthy was murdered. - McCarthy was seen...

Pupil outcome: I can describe a situation using algebraic symbols. Key learning points: - A conjecture about a generalisation can be expressed algebraically. - The algebraic expression can be used to test the conjecture. - Substituting...

Pupil outcome: I can make and test conjectures about the generalisations that underline patterns and relationships. Key learning points: - A conjecture can be made about underlying patterns. - The conjecture can be tested to see if it...

Pupil outcome: I can manipulate and transform algebraic expressions in order to prove or show a result. Key learning points: - Any algebraic expression must be defined so that it is clear what it represents. - Algebraic expressions can...

Pupil outcome: I can appreciate what constitutes the proof of a statement and what is required to disprove. Key learning points: - Substituting values can reveal whether the conjecture is wrong. - This is referred to as disproving. - A...

Pupil outcome: I can use algebra and algebraic manipulation to construct logical arguments. Key learning points: - A logical argument is a series of statements that progress in a clear way. - Each subsequent statement is based on the...

Pupil outcome: I can recognise when values have been rounded and state sensible suggestions of what the unrounded value could have been. Key learning points: - When a number has been rounded you can make conjectures about what the...

Are you obsessed with crime-based entertainment like CSI and Sherlock? How accurately is crime scene investigation depicted on such shows? What exactly is forensic science, and what are the scientific principles it utilizes? If you want...

In This Episode, Tyler Teaches Us About Indirect Proof and Inequalities in One Triangle - Geometry

This video provides an in-depth look at the pineal gland, including its location and function in the brain. It debunks some of the popular claims and speculations surrounding the gland, while also exploring its connection to the body's...

Today, we look at the weird age of scientific racism. What weird extremes did it get to?

In this video, the presenter discusses two methods of mathematical proof: proof by exhaustion and disproof by counterexamples. They explain that proof by exhaustion involves checking all possible cases, while disproof by counterexamples...

In this video, the presenter discusses two methods of mathematical proof: proof by exhaustion and disproof by counterexamples. They explain that proof by exhaustion involves checking all possible cases, while disproof by counterexamples...

After watching this lesson, you will be able to support your discussion of Much Ado About Nothing’s themes with detailed textual analysis!<br/>
This lesson unpacks the most famous and significant quotes uttered by Claudio and Hero.

In this video we go over 3 examples that illustrates how to use previously proven theorems, assumptions, properties of real numbers, variables, and operations as a reason in a proof.

In this video we will present and prove our first two theorems in geometry. Right angles theorem and Straight angles theorem.

This video provides examples of different research questions and demonstrates how to formulate null and alternative hypotheses. The video also discusses the importance of probability and the consequences of different conclusions.