What happens if you multiply things that aren't numbers? And what happens if that multiplication is not associative?

Howcast -Learn about six common autism behaviors from pediatrician and child development expert Asma J. Sadiq, M.D. in this Howcast video.

Pupil outcome: I can explain what each factor represents in a multiplication story. Key learning points: - In a multiplication, one factor represents the group size. - In a multiplication, one factor represents the number of groups. -...

Pupil outcome: I can represent multiplication equations in different ways. Key learning points: - The same multiplication can be represented in two different ways. - If you have 5 groups of 2 you have 2 five times so 5 x 2 = 2 x 5 -...

Pupil outcome: I can use knowledge of the 2, 5 and 10 times tables to solve problems. Key learning points: - Numbers in the 10 times table are also in the 2 and 5 times tables. - Multiples of 2 are all even numbers. - Multiples of 10 all...

Pupil outcome: I can apply the commutative and associative laws to simplify problems in a range of contexts. Key learning points: - To simplify a multiplication calculation, you can change the order of the factors. - To simplify a...

Pupil outcome: I can apply the commutative and associative laws to simplify multiplications of three or more numbers. Key learning points: - Rearranging or grouping the factors in a multiplication can make it easier to solve.

Pupil outcome: I can explain the use of the commutative and associative laws when multiplying three or more numbers. Key learning points: - You can change the order of the factors or group them in different ways and the product remains...

Pupil outcome: I can explain how to use the factor pairs of 100 to solve calculations efficiently. Key learning points: - Scales are often marked in factors of 100 - Rearranging calculations to make use of factors of 100 can simplify them

Pupil outcome: I can explain that factor pairs can be written in any order. Key learning points: - 5 groups of 2 can be said as 2, five times so 5 x 2 = 2 x 5 - Factor pairs can be written in any order. - You can say that multiplication...

Pupil outcome: I understand that numbers can be added in any order. Key learning points: - The order we add the addends does not change the sum. - Addition is commutative. - Commutative means that we can change the order of the addends...

Pupil outcome: I can recognise number pairs that total 10 and use them to find the sum of three numbers. Key learning points: - Rearranging the addends identifies the pairs that total 10. - Place value means we can add a single digit to...

Pupil outcome: I can apply the commutative and associative laws to simplify volume calculations. Key learning points: - To simplify a multiplication calculation, you can change the order of the factors. - To simplify a multiplication...

Pupil outcome: I can explain how to multiply two unit fractions. Key learning points: - When you multiply by a unit fraction you find that fraction of the other factor. - Multiplication can be represented by the word of. - One-half...

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 factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals. Key learning points: - Factorising multiples of 10 can scale the calculation to easier values. - It is...

Pupil outcome: I can use properties of numbers and the commutative and associative laws to simplify calculations. Key learning points: - By rearranging a calculation it can be made easier to solve mentally

Pupil outcome: I can explain what each factor represents in a multiplication equation. Key learning points: - Factors can either represent the number of groups or the size of each group. - Factors are commutative so they can swap...

Pupil outcome: I can calculate using priority of operations, including brackets, powers and exponents with positive and negative integers and decimals. Key learning points: - Division and multiplication have the same priority - With...

Pupil outcome: I can calculate using priority of operations, including brackets, powers and exponents with positive integers Key learning points: - Division and multiplication have the same priority. - With addition and subtraction,...

Pupil outcome: I can use the laws of indices to multiply two powers where the bases are the same. Key learning points: - When multiplying two terms, you can sometimes write this more simply. - If the powers have the same base, then the...

Pupil outcome: I can appreciate the mathematical structures that underpin multiplication of numbers represented in standard form. Key learning points: - The commutative law allows the product of two numbers represented in standard form...

Pupil outcome: I can use my knowledge of standard form to solve problems. Key learning points: - It can be useful to have very large or very small numbers written in standard form. - Being able to perform arithmetic operations on numbers...

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...