Multiplicative relations A
Mathematics K–10 (2022) · Stage 3 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA3-MR-01 selects and applies appropriate strategies to solve multiplication and division problemsMA3-MR-02 constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculationsContent dot points
Each dot point has its own page with resources matched to it.
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) 1 resource · 1 interactive/game
- Determine factors for a given whole number 3 resources · 2 interactive/game
- 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 1 resource · 1 interactive/game
- Use the distributive property with the area model to partition numbers in representing multiplication problems 2 resources · 1 interactive/game
- 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 1 resource · 1 interactive/game
- 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 2 resources · 2 interactive/game
- Use the term quotient to describe the result of a division calculation
- Show the connection between division and multiplication involving the divisor and quotient 1 resource · 1 interactive/game
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 1 resource
- Apply and record appropriate strategies to solve division word problems 1 resource
- Use and interpret remainders in solutions to division problems 2 resources
- 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
Stage 3 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence – Stage 3
- Unit/PlanningMaking connections – Stage 3 (parallel content)