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
- MAO-WM-01 develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
- MA3-RN-01 applies an understanding of place value and the role of zero to represent the properties of numbers
- MA3-MR-01 selects and applies appropriate strategies to solve multiplication and division problems
National Numeracy Learning Progression
The full National Numeracy Learning Progression details are included in the resource, available via the Universal Resources Hub.
MuS5 –MuS7 Multiplicative strategies
UnM7 Understanding money
UuM5-UuM6 Understanding unit of measurement .
Task outline
Full task descriptions are included in the resource, available via the Universal Resources Hub.
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 (2 activities).
Task 3: The tiler
Students complete a multiplicative reasoning task with multiplicative thinking, based on the tiler problem solving task from reSolve (2 activities).
Multiplication
Task 4: youcubed math cards
Students play the youcubed math cards game to practice and consolidate their learning of multiplication and division (2 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 (2 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 (3 activities).