Flexible multiplicative strategies with rational numbers
A resource to support development of flexible multiplicative strategies with rational numbers, providing opportunities for students to develop a strong understanding of written methods for multiplication and division, and extending whole number multiplicative strategies when working with fractions and decimals.
This resource was developed in partnership with the NSW Mathematics Strategy Professional Learning team, Curriculum Early Years and Primary Learners, and Literacy and Numeracy.
Using the resource
This resource is the final section of a 4-part resource supporting flexible multiplicative thinking. Use this resource in conjunction with the other resources in this series to support a connected network of critical mathematical concepts, skills and understanding.
Supporting tasks
Refer to the resource (available for download via the Universal Resources Hub) for full instructions on how to use each of these tasks and includes materials, related tasks and learning intentions.
Task 1: Which would you work out in your head? Multiplication or division
Students critique different strategies and problem situations to develop knowledge.
Task 2: Tombola
Students develop fluency and understanding of factor-factor-product relationships.
Task 3: Investigating written methods for multiplication
Students critique different written strategies for multiplication to develop knowledge.
Task 4: Written methods for division
Students develop understanding of the division problems through visual representations.
Task 5: Decimal sort
Students develop a sense of decimal size compared to benchmark decimals.
Task 6: Estimate me
Students develop their estimation skills, through reasoning and reflecting.
Task 7: If I know... with fractional numbers
Students extend their understanding of number relationships to fractional numbers.
Task 8: Understanding multiplying by fractions and decimals
Students develop fluency and understanding of multiplying by fractions and decimals.
Task 9: Beat the calculator
Students use place value and factor-factor-product relationships to determine the product of decimal numbers.
Task 10: Investigating decimal multiplication
Students explore the relationship between fractions and decimals through visual representations.
Task 11: The remainders game
Students develop fluency and understanding of operating with remainders and fair share situations.
Task 12: Paper folding to divide a fraction
Students develop understanding of fractions through direct instruction, manipulatives and visual representations.
Task 13: Hex
Students develop fluency and understanding of factor-factor-product relationships and operating with division.
Related supporting flexible multiplicative thinking resources
Contact
For more information, contact literacy.numeracy@det.nsw.edu.au