- 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
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