Arrays are a visual representation of objects arranged in rows and columns. Commonly used to teach multiplication and division, arrays provide a clear, visual way to understand these operations, transforming abstract concepts into concrete representations while reinforcing the commutative property of multiplication.

At Key Stage 1, we introduce young learners to multiplication through repeated addition and arrays. Arrays then become a fundamental part of introducing and understanding new times tables. Why not begin by giving pupils counters and physical objects to build arrays; soon enough, they will become more comfortable with drawn representations.

As students get older, arrays become extremely useful in working with factors, multiples, and prime numbers. They aid in finding fractions of sets of objects, lay the groundwork for algebraic thinking, and demonstrate how partitioning can be used when multiplying numbers with two or more digits, while simultaneously emphasising the distributive

property.

The use of arrays and the area model remains relevant in KS3 and 4, particularly in the manipulation of algebraic expressions and introduction of algebra tiles, such as expanding binomials and polynomials. Introducing learners to this model early not only supports their understanding of numbers but also benefits their mathematical journey at

school. Take a look at our range of KS1 and 2 resources below that use arrays for visual representation.

## PRINTABLE PDF ARRAY WORKSHEETS WITH ANSWERS

Build a strong maths foundation with array worksheets. This visual tool makes multiplication clear and intuitive, building understanding that unlocks fractions and lays the groundwork for algebra. Arrays offer a powerful advantage in early learning that supports confidence and success in later maths concepts. Help students or your child grasp maths visually for a strong foundation that pays off in their entire learning journey.

### What are Arrays in maths?

Arrays in maths are visual tools that organize numbers or objects into rows and columns. This clear arrangement helps illustrate multiplication, division, and relationships between numbers. Arrays make abstract maths concepts more concrete by providing a structured, visual representation. Beyond basic operations, they support understanding fractions, algebra, and more advanced mathematical ideas.

### importance of Arrays

Arrays transform maths from rote memorization to true understanding. Their visual nature clarifies calculations that can seem mysterious when only presented as numbers. For young learners, arrays make the ‘why’ behind multiplication and division click.

For Example, a student struggling with 4 x 6 could build an array with 4 rows and 6 columns. Counting the total ‘cells’ within makes the answer (24) clear and reinforces the concept of multiplication as groups.

### uses of Arrays

While arrays in mathematics might not have direct everyday equivalents, the skills they develop are widely applicable. Arrays promote organized thinking, like when creating a grocery list or schedule. They highlight numerical patterns, which can be helpful for analyzing data sets like sales figures over time. Arrays also encourage a visual problem-solving approach by breaking down problems into smaller components (like finding the area of a room), a skill transferable to approaching any complex situation step-by-step.