#NumberAndAlgebra >[!info]- [Multiplicative relations A | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-3/fafab309e2) >- MA3-MR-01 selects and applies appropriate strategies to solve multiplication and division problems >- MA3-MR-02 constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations >[!abstract]- Prior Knowledge >- Multiplicative Relations (Stage 2) ## Determine products and factors - Use the term _product_ to describe the result of multiplying 2 or more numbers - Model different ways to show a whole number as a product (Reasons about structure) - Determine factors for a given whole number - Determine whether a number is prime, composite or neither (0 or 1) ## Use partitioning and place value to multiply 2-, 3- and 4-digit numbers by one-digit numbers - Use mental strategies to multiply one-digit numbers by 10, 100, 1000 and their multiples - Estimate the product of 2 numbers (one-digit by 2- or 3-digit numbers) using multiples of 10 or 100 - Use informal written strategies such as the area model to solve multiplication and division problems - Use the distributive property with the area model to partition numbers in representing multiplication problems - Use the distributive property with partial products to solve problems by multiplying the hundreds, then the tens and then the ones - Record the product of multiplying by a one-digit number using a formal algorithm ## Select and apply mental and written strategies to multiply 2- and 3-digit numbers by 2-digit numbers - Factorise numbers to aid mental multiplication - Extend the area model to represent 2-digit by 2-digit multiplication - Use a multiplication algorithm with understanding (Reasons about relations) - Solve multiplication word problems ## Represent and solve division problems with whole number remainders - Model division, including where the answer involves a remainder, using materials or diagrams - Record remainders in words to division problems - Use known multiplication fact families to solve division problems for which answers may include a remainder - Use the term _quotient_ to describe the result of a division calculation - Show the connection between division and multiplication involving the divisor and quotient ## Select and apply strategies to divide a number with 3 or more digits by a one-digit divisor - Estimate the result of dividing by a one-digit divisor - Use knowledge of multiples to partition as appropriate and divide - Apply and record appropriate strategies to solve division word problems - Use and interpret remainders in solutions to division problems - Use digital technologies to divide whole numbers by one- and 2-digit divisors ## Use estimation and rounding to check the reasonableness of answers to calculations - Use estimation to check the reasonableness of answers to multiplication and division calculations