The Homeschool Resource

• Arrays help children understand multiplication as repeated addition by providing a visual representation, making the concept easier to grasp compared to memorization of facts.

• Hands-on learning with manipulatives and drawings allows children to build foundational skills step-by-step, starting with physical objects and progressing to abstract representations.

• Incorporating games, videos, books, and real-life examples keeps learning engaging and fun, helping children connect multiplication to the world around them.

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Teaching Multiplying with Arrays

Multiplication is a fundamental math skill that children generally begin to learn in the 3rd grade. One of the most effective and engaging strategies for teaching multiplication is through the use of arrays. Arrays help children visualize multiplication as repeated addition and provide a concrete way to help build their number sense. Teaching multiplication using arrays goes from hands-on exploration then moves toward drawings and number sentences, building a solid foundation for understanding multiplication in your child.

To begin teaching arrays, first you will need to explain to your child what an array is, a set of objects arranged in rows and columns. For example, an array with 3 rows and 2 columns shows 3 × 2, or six items. Arrays take the concept of multiplication and make it a visible thing. So, rather than simply memorizing facts, children can see and count the groups, which will help them grasp what multiplication really means. For young children, this visual and tactile approach is a developmentally appropriate and easy to follow method.

When teaching multiplication using arrays to your child, it is important to use a combination of manipulatives, games, and guided practice. This provides both fun and education and allows your child to better understand how arrays represent multiplication problems. To start these lessons, begin with hands-on learning activities with manipulatives. Provide students with physical items like buttons, blocks, or cereal pieces and ask them to place them one at a time an array of equally numbered rows and equally numbered columns. Eventually, once the basics are mastered with physical items, move on to drawings and multiplication sentences.

Hands-On Activities

Multiplication can be taught in a variety of fun ways. However, showing multiplication using arrays is one of the easiest and most effective methods. Here are some ways to incorporate hands-on learning with your multiplication lessons:

• Manipulatives:Use small physical objects such as toy cars, blocks, stickers, or food items like cereal or goldfish crackers to demonstrate multiplication arrays e.g., a 3×4 array shows three rows of four objects. Connect the array to repeated addition and the multiplication equation. Once you show them some examples, allow your child to create some arrays by giving them a multiplication problem and have them model it. For example, give them a problem such as 2 x 4 and have your child create two rows. Then, have them place four objects in each row. Finally, point out that the total number of objects (8) represents the product of the given multiplication problem. 
• White Boards/Paper: Another way to demonstrate arrays is to use a white/black board. You can also draw dots or circles on paper to represent the array. You can then give your child a multiplication problem and have them draw the array and then write the multiplication fact that it represents. 
• Games: To keep learning fun and meaningful, you can incorporate games into your math lessons. One idea would be to create a scavenger hunt, to get your child to look around the house or classroom for real-life examples of arrays. This could include egg cartons, muffin trays, or even windows. Let your child describe these items using multiplication facts.

Other Fun Activities

Some other fun and engaging learning activities include age-appropriate videos, online games, and books. Here are some of my family’s favorites:

• Kid-Friendly videos such as Multiplication Using Arrays by Mighty Owl and Arrays for Kids | What are multiplication arrays? by Doodles and Digits provide children with visuals of arrays and examples of multiplication problems to help your child master the lesson.
• Online games can help kids practice multiplying using arrays. Candy Shop Arrays game at Education.com and this Multiplication Array game at Mathsframe are fun games for your kids to play while learning how to multiply.
• Reading about multiplying not only adds enjoyment to numbers practice but also incorporates ELA into your math lesson. Books such as Look for the Math Around You: Arrays by Alice Aspinall and Amanda Bean’s Amazing Dream: A Mathematical Story by Cindy Neuschwander help bring a new perspective and understanding to numbers and multiplication.

Teaching multiplication using arrays to young children is more than just helping them learn how to multiply, it’s about fostering an understanding of how the numbers in each column and row represent real quantities. Using a combination of different resources and hands-on engagements makes learning fun and will help your child master multiplication. Arrays not only help children make sense of math, but they also make learning more visual, interactive, and fun. With consistent practice and engaging instruction, your child will not only learn multiplication facts but also understand what those facts truly represent.

My Multiplying with Arrays Packet and Freebie

Multiplication is not only a requirement for all students but is the basis for higher mathematical learning. Lessons using arrays as visuals will not only be educational but will be better received because they are fun. That’s why I created a worksheet pages packet to keep your children engaged in the lesson and ready to learn more.

My full packet contains 5 colorful pages of educational and engaging worksheets along with the answer keys. Here are 3 of the worksheets:

One of the worksheets gives colorful arrays with shapes. One number in the multiplication sentence is given, and the directions ask the student to finish the multiplication equation by counting the items in the array.

The next worksheet is a sweets filled page where your child will look at the array and write in the multiplication sentence that goes along with it.

A third worksheet shows colored arrays in squares. For each array your child is asked to write the equation shown by the colored squares.

My full packet contains these pages as well as 2 others. I also have a FREE multiplying with arrays packet that includes the 1^st worksheet mentioned as well as an additional one. You can find the link to both of these packets below.

What kinds of activities helped your child to master multiplication? Please share your lesson ideas with the community in the comments below.