The Riemann hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it was first proposed by Bernhard Riemann in 1859, the conjecture has maintained the status of the “Holy Grail” of mathematics. In fact, the person who solves it will win a $1 million prize from the Clay Institute of Mathematics. So, what is the Riemann hypothesis? Why is it so important? What can it tell us about the chaotic universe of prime numbers? And why is its proof so elusive?

Read more at Quanta Magazine.

On MathsLinks: https://mathslinks.net/links/the-riemann-hypothesis-explained

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L. Mahadevan is a professor of applied mathematics, physics, and organismic and evolutionary biology at Harvard University. He uses mathematics and physics to explore commonplace phenomena, showing that many of the objects and behaviors we take for granted, and consequently give little thought to, are quite extraordinary upon closer examination. Read more at Quanta Magazine.

On MathsLinks: https://mathslinks.net/links/the-extraordinary-math-hidden-in-everyday-life

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Dimensions.com is an ongoing reference database of dimensioned drawings documenting the standard measurements and sizes of the everyday objects and spaces that make up our world.

On MathsLinks: https://mathslinks.net/links/dimensions.com

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A simulation game where you are an Uber driver managing a variety of expenses. Good for budgeting conversations and for students who may want to enter the gig economy.

On MathsLinks: https://mathslinks.net/links/the-uber-game

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A 20 minute investment game where students choose different options for investing money. Can be played as a class or as an individual.

On MathsLinks: https://mathslinks.net/links/build-your-stax-investment-game

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An American resource that was designed to demonstrate how loan terms can hurt you if you don’t pay attention. You play the role of a loan shark and have to make the most money possible by choosing different loan options. Lots of compound interest calculations!

On MathsLinks: https://mathslinks.net/links/shady-sam-loan-shark

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About Archimedes and parabolas by Johnny Ball.

On MathsLinks: https://mathslinks.net/links/parabolas-and-archimedes

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Dr. Tom and Will need to get to the bottom of a puzzling case of averages to see who is being honest and who is telling lies!

You’ll learn how to find out the mean, mode, and median values for different sets of data as you help solve this perplexing investigation…

See the description on YouTube for an accompanying worksheet…

On MathsLinks: https://mathslinks.net/links/mean-mode-median-learn-maths-with-will

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Lucy and Will are on an epic adventure to find the scroll of Pythagoras and uncover its secrets! The legend says that the Pythagoras’ Theorem will be revealed to the person standing closest to the scroll…

You’ll find out what a^{2} + b^{2} = c^{2} means and how can we use it to find the missing length of a triangle. You’ll also be helping Lucy and Will escape the cave by using Pythagoras’ Theorem to find the exit!

See the description on YouTube for an accompanying worksheet.

On MathsLinks: https://mathslinks.net/links/pythagoras-theorem-learn-maths-with-will

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When we split up a whole number to share it, we write it as a fraction. Fractions are like bits of whole numbers. In this video, you’ll learn all about fractions and play some games with some pizza and brownies! You’ll find out what the two numbers in a fraction mean and how to read them and you’ll also learn how to write your own fractions!

Check the description on YouTube for an accompanying worksheet.

On MathsLinks: https://mathslinks.net/links/fractions-learn-maths-with-will

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Gavin Sinclair has shared lesson notes and a YouTube playlist for the Year 12 Mathematics Extension 1 topic Differential Equations.

On MathsLinks: https://mathslinks.net/links/12mx1-differential-equations

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Let's say there are more pigeons than pigeon holes. Then, if all the pigeons are in the holes, at least one of the holes must house at least two of the pigeons. Completely obvious. However, this unassuming pigeon hole principle strikes all over mathematics and yields some really surprising, deep and beautiful results. In this video the Mathologer presents his favourite seven applications of the pigeon hole principle.

On MathsLinks: https://mathslinks.net/links/the-pigeon-hole-principle-7-gorgeous-proofs

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This video uses 6 congruent pyramids to prove the formula for volume of a pyramid. Was used in class with a metre cube and followed by a demonstration of the water proof.

On MathsLinks: https://mathslinks.net/links/volume-of-a-pyramid

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Steve Mould and Matt Parker make a binary adding machine using water and syphons.

On MathsLinks: https://mathslinks.net/links/i-made-a-water-computer-and-it-actually-works

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A game for understanding vector coordinates.

On MathsLinks: https://mathslinks.net/links/naval-battle-vector-game

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On online manipulative task using algebra tiles to model factoring trinomials.

On MathsLinks: https://mathslinks.net/links/factoring-trinomials

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A good flow chart and guided questions with explanations as to how to decide on which rule - SOHCAHTOA, Sine Rule, Cosine Rule and Pythagoras included as well. There are practice questions at the end and click 'show me' to see the detailed solutions.

On MathsLinks: https://mathslinks.net/links/non-right-angled-trig-how-to-decide-which-rule-to-use

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A video that explores the size of very large and very small parts of our universe using A4 paper either doubled or halved for scale.

On MathsLinks: https://mathslinks.net/links/halving-doubling-through-metric-paper

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An interactive investigation of surface area.

On MathsLinks: https://mathslinks.net/links/surface-area-introductory-exercises

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The missing square puzzle is an optical illusion where students could use Pythagoras and area calculations to prove what's really going on.

On MathsLinks: https://mathslinks.net/links/the-missing-square-puzzle

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