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PBS
Why Quantum Computing Requires Quantum Cryptography
Quantum computing is cool, but you know what would be extra awesome - a quantum internet. In fact if we want the first we’ll need the latter. And the first step to the quantum internet is quantum cryptography.
PBS
Solving Quantum Cryptography
Your extensive posting history on r/birdswitharms and your old fanfiction-heavy livejournal are both one tiny math problem away from becoming public knowledge. That math problem is prime number factoring, and the new era of quantum...
PBS
Hacking at Quantum Speed with Shor's Algorithm
Classical computers struggle to crack modern encryption. But quantum computers using Shor's Algorithm make short work of RSA cryptography. Find out how.
3Blue1Brown
Pi hiding in prime regularities
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
3Blue1Brown
Pi hiding in prime regularities
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
3Blue1Brown
Why do prime numbers make these spirals?
A curious pattern in polar plots with prime numbers, together with discussion of Dirichlet's theorem
PBS
How to Break Cryptography
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.
Curated Video
How to Factor Linear Expressions Two Ways 7.EE.A.1
In this math video lesson we will learn how to factor linear expressions using the greatest common factor (GCF) and rewrite expressions using parentheses, aligned to 7.EE.A.1. Viewers will be able to find the GCF of a linear expression...
Curated Video
Calculating integers from their prime factor expressions
Pupil outcome: I can evaluate a number written as a product of its prime factors. Key learning points: - Evaluating a product of primes will give a unique positive integer. - It is useful to compare numbers using their prime factor...
Curated Video
Using the fx-83/85GT CW for number
Pupil outcome: I can use the fx-83/85GT CW to perform calculations with numbers. Key learning points: - Some calculators can perform more than just basic calculations. - The fx-83/85GT CW can convert between different formats for values....
Curated Video
Converting fractions to terminating decimals
Pupil outcome: I can divide the numerator of a fraction by its denominator and know that this results in an equivalent terminating decimal. Key learning points: - The line in a fraction means divide. - Dividing the numerator by the...
Curated Video
Expressing one number as a fraction of another
Pupil outcome: I can express one number as a fraction of another. Key learning points: - There exists a multiplier for any pair of values. - The multiplier is more than just a scaling factor. - The multiplier also expresses one number as...
Curated Video
Deepening understanding of multiplication with fractions
Pupil outcome: I can generalise and fluently use strategies to multiply with mixed numbers. Key learning points: - Mixed numbers can be converted into improper fractions. - It is not necessary to convert both fractions. - Each fraction...
Curated Video
Converting fractions to recurring decimals
Pupil outcome: I can divide the numerator of a fraction by its denominator and know that this results in an equivalent recurring decimal. Key learning points: - Dividing the numerator by the denominator may result in an equivalent...
Curated Video
Problem solving with factors, multiples, squares and cubes
Pupil outcome: I can use my knowledge of factors, multiples, squares and cubes to solve problems. Key learning points: - Knowledge of factors and multiples can be used to solve problems - Knowledge of squares and cubes can be used to...
Curated Video
Expressing an integer as a product of its prime factors
Pupil outcome: I can write any positive integer uniquely as a product of its prime factors. Key learning points: - Every composite number has prime number factors. - All the factors of a number can be broken down into prime factors. -...
Curated Video
Checking and securing understanding of prime factorisation
Pupil outcome: I can write any positive integer uniquely as a product of its prime factors. Key learning points: - Every positive integer can be broken down into prime factors. - Every positive integer can be written as a product of its...
Curated Video
Checking and further securing understanding of the commutative law
Pupil outcome: I can state the commutative law and use it to calculate efficiently. Key learning points: - A number can be expressed as the product of prime factors. - By using the commutative law, you can chose which factors to multiply...
Curated Video
HCF or LCM
Pupil outcome: I can use the prime factorisation of two or more positive integers to efficiently find either the highest common factor or lowest common multiple, depending on the context of the question. Key learning points: - It may be...
Curated Video
Between numbers
Pupil outcome: I can appreciate that, for any two numbers, there is always another number in between them. Key learning points: - Using a number line you can find numbers between two integers. - Using a number line you can find numbers...
Curated Video
Simplifying fractions
Pupil outcome: I can simplify fractions by dividing both the numerator and denominator by common factors and know why this works. Key learning points: - When a fraction is multiplied by 1 it remains the same but may look different. -...
Curated Video
Lowest common multiple
Pupil outcome: I can use the prime factorisation of two or more positive integers to efficiently find their lowest common multiple. Key learning points: - Common multiples can be found using the prime factorisation of numbers - The...
Curated Video
Securing understanding of multiplication with fractions
Pupil outcome: I can multiply unit, non-unit and improper fractions. Key learning points: - When multiplying you multiply the numerators together and the denominators together. - Any value can be written as a fraction with one as the...