Multiplicative strategies
Learning intention
Students will develop their efficiency, flexibility and confidence in using a variety of mental strategies to solve problems of a multiplicative nature.
Syllabus outcome
MA3-1WM: describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA3-2WM: selects and applies appropriate problem-solving strategies, including the use of digital technologies, in undertaking investigations
MA3-3WM: gives a valid reason for supporting one possible solution over another
MA3-4NA: orders, reads and represents integers of any size and describes properties of whole numbers
- MA3-6NA: uses mental and informal written strategies for multiplication and division
- MA3-10MG: selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles
National Numeracy Learning Progression
The full National Numeracy Learning Progression details are included in the resource, available for download on this page.
MuS5 –MuS7 Multiplicative strategies
UnM7 Understanding money
UuM5-UuM6 Understanding unit of measurement .
Task outline
Full task descriptions are included in the resource, available for download on this page.
Division
Task 1: Factors fun
Students play the factors fun game to explore division, work out a solution and explain their thinking (one activity).
Task 2: Remainders game
Students play the remainders game to reinforce division with remainders (two activities).
Task 3: The tiler
Students complete a multiplicative reasoning task with multiplicative thinking, based on the tiler problem solving task from reSolve (two activities).
Multiplication
Task 4: youcubed math cards
Students play the youcubed math cards game to practice and consolidate their learning of multiplication and division (two activities).
Task 5: Prime climb hundreds chart
Students develop knowledge of factors, multiples and vocabulary associated with multiplication and division (one activity).
Task 6: Here is a problem
Students use close positioning scaffolds to consider the relationship between problems and not treat them as separate and unrelated (one activity).
Task 7: Array bingo
Students recognise the different ways numbers can be presented in an array (two activities).
Task 8: Multiplication toss
Students play in pairs to develop multiplicative automaticity (one activity).
Task 9: Always, sometimes, never
Students reason with situations, instances and concepts that are always, sometimes or never true (one activity).
Task 10: Multiplication squares
Students use their knowledge of factors and products to find the missing element in a grid (three activities).