# Arrays: word problems with products from 30 to 50

TLF ID L2055

Read a number problem and think about how to solve it. For example, when 38 is divided by a number, the answer is 7 with a remainder of 3. Write the problem as a multiplication or division number sentence with a missing number. Think about multiplication or division facts to find the missing number. Test your answer by making an array of equal rows and columns to show the multiplication or division fact and the remainder. This learning object is one in a series of five objects.

#### Educational details

Key learning objectives
• Students apply knowledge of factors of numbers to solve problems with products up to 50.
• Students apply the commutative property of multiplication.
Educational value
• Students develop and consolidate knowledge of basic number facts that underlie effective multiplicative thinking.
• Students interpret word problems to construct equations.
• Provides opportunities to consider the relationship between multiplication and division.
• Automated array construction provides a visual model to support understanding of the multiplicative relationship between factors and the additive nature of the remainder.
Year level

5

Learning area
• mathematics
Strand
• Mathematics/Number and algebra
Concept
• Mathematics/Multiples
• Mathematics/Multiplication
• Mathematics/Factors
• Mathematics/Guess-Check-Improve
• Mathematics/Arithmetic
• Mathematics/Division
Skill
• Knowledge;
• Comprehension;
• Application
Student activity
• Interactives;
• Experiment;
• Analysis;
• Modelling
Learning design
• Experiential learning;
• Independent learning;
• Problem solving;
• Visual learning

#### Other details

Contributors
• Script writer
• Name: Erica Dale
• Organisation: Tungaroo Software
• Address: Manly NSW 2095 Australia
• Subject matter expert
• Name: Jenni Way
• Address: Springwood NSW 2777 Australia
• Technical implementer
• Educational validator
• Publisher
• Date of contribution: 20 Sep 2013
• Organisation: Education Services Australia
• Address: Melbourne VIC 3000 Australia
• URL: http://www.esa.edu.au/
Access profile
• Colour independence
• Device independence
• Hearing independence
Learning resource type
• Interactive Resource
Browsers
• Microsoft Internet Explorer - minimum version: 8.0 (MS-Windows) - maximum version: 9.0 (MS-Windows)
• Firefox - minimum version: (MS-Windows)
• Safari - minimum version: 5.1 (MacOS)
Operating systems
• MacOS - minimum version: 10.6
• MS-Windows - minimum version: x - maximum version: 7
Rights
• © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.