This video explains how Shor’s Algorithm factors the pseudoprime number 314191 into its prime factors using a quantum computer. The quantum computation relies on the number-theoretic analysis of the...

Like many heroes of Greek myths, the philosopher Hippasus was rumored to have been mortally punished by the gods. But what was his crime? Did he murder guests or disrupt a sacred ritual? No, Hippasus's transgression was mathematically...

New ReviewIn this short math video, students learn how to factor a quadratic by grouping using a clear, five-step process. The lesson begins by reviewing the standard form of a quadratic, and then models each step carefully so students can follow...

New ReviewIn this video we are going to focus on how to find the zeros of a polynomial by factoring to the 5th power

New ReviewI like students to understand distributive property before we get to factoring because it reinforces the understanding combining like terms and where that dreaded middle term goes.

New ReviewLet's explore o to identify the zeros of a polynomial and the multiplicity of those zeros by factoring. Each of these examples we will explore a different factoring technique.

Factoring is the opposite of distributing. If you can find a common factor, you can reduce an expression.

Pupil outcome: I can use long division and give the remainder as a decimal. Key learning points: - Fraction and decimal equivalence can be used to convert fraction remainders to decimals. - 1 one is equivalent to 10 tenths so a 1 can be...

Pupil outcome: I can use fraction, decimal and percentage conversions to solve problems. Key learning points: - To convert from percent to a fraction, start by converting each percentage into a fraction with a denominator of 100 - Use...

Pupil outcome: I can use knowledge of fractions in their simplest form when solving addition and subtraction problems. Key learning points: - You divide the numerator and denominator by the same factor to create the equivalent fraction....

Pupil outcome: I can convert a percentage to a fraction where the denominator is not 100 Key learning points: - Start by converting each percentage into a fraction with a denominator of 100 - Then, divide the denominator and numerator by...

Pupil outcome: I can reason about how to write a fraction in its simplest form. Key learning points: - A common factor is a number which is a factor of both the numerator and denominator. - A fraction is in its simplest form when there...

Pupil outcome: I can explain how to write a fraction in its simplest form Key learning points: - A fraction in its simplest form is equivalent to the original fraction. - Equivalent fractions have the same value. - To simplify fractions...

Pupil outcome: I can use the associative, distributive and commutative laws to flexibly and efficiently solve problems Key learning points: - A calculation may be made easier by applying more than one of the associative, commutative or...

Pupil outcome: I can state the distributive law and use it to calculate efficiently. Key learning points: - The distributive law can be used when two (or more) values have a common factor. - By using the distributive law, calculations...

Pupil outcome: I can use the multiplication tables to identify factors and multiples. Key learning points: - Multiplication tables can be used to find multiples of a number. - Multiplication tables can be used to find factor pairs of a...

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...

Pupil outcome: I can state what a factor is and can identify factors of positive integers. Key learning points: - Divisibility tests can help identify factors of a number. - Using factors pairs it is possible to systematically find all...

Pupil outcome: I can use the mathematical structures that underpin the multiplication of fractions. Key learning points: - An array can help expose the structure behind multiplying fractions. - The denominators give us the number of rows...

Pupil outcome: I can use the prime factorisation of two or more positive integers to efficiently identify the highest common factor. Key learning points: - Common factors can be found by comparing the products of their primes. - The...

Pupil outcome: I can use knowledge of the distributive law to solve two part subtraction problems efficiently. Key learning points: - Partitioning a factor is called distribution or using the distributive law. - Partitioned factors can...

Pupil outcome: I can use knowledge of common equivalents to compare fractions and decimals. Key learning points: - 0.1 is equal to 1/10 - 0.2 is equal to 1/5 - 0.25 is equal to 1/4 - 0.5 is equal to 1/2 - 0.75 is equal to 3/4

Pupil outcome: I can explain how to identify common factors between two or more numbers. Key learning points: - A common factor is a factor which is shared by two or more numbers

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...