Students are supported in making the shift from additive to multiplicative thinking. The use of the array model of equal rows and equal columns allows the exploration of factors and multiples and the associated number properties that underlie effective multiplicative strategies.
Teacher notes
- Students are supported to develop multiplicative thinking through exploring the relationships between word problems, equations and arrays; between multiplication and division; and between factors, multiples and 'remainders'.
- In the three 'arrays: word problem' objects, students are provided with a word problem, which they convert into a number sentence then solve. For example, 'When 21 is divided by a number the answer is 4 remainder 1. What is the number?' becomes 4 x ? + 1 = 21 or 21 ˜ 4 = ? rem 1. Students are supported as they create either a multiplication or a division number sentence. An array is used as a visual model for the number sentence to show if the correct number has been found.
- Printouts are available for all learning objects.
Learning objects
Arrays: factor families | |
Arrays: solving word problems from 10 to 30 | |
Arrays: solving word problems from 30 to 50 | |
Arrays: solving word problems from 34 to 65 | |
Arrays: explore factors |