Students will develop their efficiency, flexibility and confidence in using a variety of mental strategies to solve problems of a multiplicative nature. They will use their own informal recordings to represent their strategies and communicate effectively with others. Students will also deepen their understanding of the operations themselves and the inverse relationship between multiplication and division.
- MA2-1WM: uses appropriate terminology to describe, and symbols to represent, mathematical ideas
- MA2-2WM: selects and uses appropriate mental or written strategies, or technology, to solve problems
- MA2-3WM: checks the accuracy of a statement and explains the reasoning used
- MA2-4NA: applies place value, informally, to count, order, read and represent two- and three-digit numbers
- MA2-6NA: uses mental and informal written strategies for multiplication and division
- MA2-7NA: represents and models halves, quarters and eighths
- MA2-10MG: measures, records, compares and estimates areas using square centimetres and square metres
National Numeracy Learning Progression
The full National Numeracy Learning Progression details are included in the resource, available for download on this page.
MuS2: Perceptual multiples
MuS3: Figurative (imagined units)
MuS4: Repeated abstract composite units
MuS5: Coordinating composite units
MuS6: Flexible strategies for single digit multiplication and division
MuS7: Flexible strategies for multiplication and division
Full task descriptions are included in the resource, available for download on this page
Task 1: Factors fun
Students explore division, work out a solution and explain their thinking (one activity).
Task 2: Factors and products
Students create various models and representations for the factors of whole numbers (one activity).
Task 3: What do I know about partitioning?
Students explore the various ways to partition a dividend (one activity).
Task 4: 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 5: Remainders game
Students play the remainders game to reinforce division with remainders (one activity).
Task 6: Chicken scramble
Students choose a counting strategy to quantify a large collection of items using counting strategies (one activity).
Task 7: Finding dice totals
Students find ways to group the dice and use mental strategies to determine the most effective way to calculate the total (two activities).
Task 8: Doubles fill
Students play the doubles fill game to builds number sense by connecting quantities with symbols and language. (one activity).
Task 9: Array bingo
Students play a game of bingo with arrays to help students see how numbers can be represented (one activity).
Task 10: Multiplication toss
Students develop multiplicative automaticity through this game using grid paper to represent multiplication (one activity).