"Some infinities are bigger than other infinities" - Hazel Grace Lancaster, in "The Fault in Our Stars," by John Green

What happens when you divide things that aren't numbers?

Thanks to Google Making and Science for supporting this series, and to Sean Carroll for collaborating on it!



This video is about why there's no such thing as cause and effect at the level of fundamental particle...

There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it...

There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses...

"Some infinities are bigger than other infinities" - Hazel Grace Lancaster, in "The Fault in Our Stars," by John Green

One deck. Fifty-two cards. How many arrangements? Let's put it this way: Any time you pick up a well shuffled deck, you are almost certainly holding an arrangement of cards that has never before existed and might not exist again. Yannay...

Only 4 steps stand between you and the secrets hidden behind RSA cryptography. Find out how to crack the world's most commonly used form of encryption.

New ReviewIn this video I am going. ork through how to multiply and divide a fraction by an integer fast

New ReviewIn this video we are going to look at multiplying a fraction by an integer fast

You will plot integers on a number line.

Pupil outcome: I can identify numbers on marked but unlabelled number lines. Key learning points: - Within a mixed number, the whole number is the most significant part. - The whole number part of a mixed number can be used to decide...

Pupil outcome: I can estimate the position of a number on a number line using fraction sense. Key learning points: - To estimate the position of mixed numbers on a number line, first identify which integers it sits between. - Then use...

Pupil outcome: I can state the properties of a prime number and can identify prime numbers. Key learning points: - Prime numbers all share the same properties. - Prime numbers can be identified using factors. - Prime numbers can be...

Pupil outcome: I can use a graphical representation to show all of the points (within a range) that satisfy a relationship. Key learning points: - A line can be drawn using coordinates found following a rule. - You can check any point on...

Pupil outcome: I can state the value of any digit in any given integer in any given form. Key learning points: - An integer can be read aloud in different ways. - Context may affect how an integer is read aloud. - An integer can be...

Pupil outcome: I can use the technique of rationalising the denominator to transform a fraction to an equivalent fraction. Key learning points: - Fractions should be given in their simplest term. - The denominator should be written as...

Pupil outcome: I can state the value of any digit in a given integer. Key learning points: - It is difficult to know what a digit represents if you do not know its place value. - An integer can be written as the sum of the place value of...

Pupil outcome: I can use my knowledge of calculating with integers and decimals to solve problems. Key learning points: - Integers and decimals appear in many real-world contexts. - Calculating with money is an example of decimals. -...

Pupil outcome: I can order and compare numbers and measures using <, >, = Key learning points: - The symbol < means: less than. - The symbol > means: greater than. - The symbol ≤ means: less than or equal to. - The symbol ≥ means:...

Pupil outcome: I can use my understanding of place value to create numbers that meet certain conditions. Key learning points: - The place value of a digit affects the overall value of an integer. - Integers with the same digits have...

Pupil outcome: I can use multiplying by 10 or 100 to divide decimal fractions by 1-digit numbers mentally. Key learning points: - When we divide decimal fractions by 1-digit numbers, make the decimal into a whole number by multiplying by...

Pupil outcome: I can fluently write general algebraic forms for different number properties. Key learning points: - The divisibility tests can be used to help write general algebraic forms of multiples. - By understanding the general...

Pupil outcome: I can represent situations using algebra. Key learning points: - Missing numbers can be found in context. - Missing number problems can be expressed algebraically. - Pairs of numbers that satisfy an equation with two...