# Activities to Teach Students to Multiply Unit Fractions by Whole Numbers: Sorting

When it comes to teaching students how to multiply unit fractions by whole numbers, it can be a challenging task. However, there are many engaging activities that can help students understand these concepts. One activity that has proven to be effective is sorting.

Sorting is an activity that involves categorizing objects or ideas based on their characteristics. In the context of multiplying unit fractions by whole numbers, sorting can be used to help students understand the relationship between the two.

To begin the activity, the teacher can provide students with a set of cards, each with a multiplication problem involving a unit fraction and a whole number.

For example, a card might read “1/2 x 2.” Another card could say, “1/3 x 3.” The teacher can also incorporate visuals, such as pies or pizzas, to help students visualize the fractions.

The students then work together to sort the cards into two categories: “Multiplication Problems That Result in a Fraction Less Than One” and “Multiplication Problems That Result in a Whole Number.”

This sorting activity allows students to see how certain multiplication problems will result in a fraction that is less than one, while others will result in a whole number. The goal is for students to understand that multiplying a unit fraction by a whole number will always result in a fraction that is less than or equal to one.

Once the students have sorted the cards, the teacher can facilitate a discussion to reinforce their understanding of the concepts. The teacher can ask questions such as, “What do you notice about the multiplication problems that resulted in a fraction less than one?” and “What do you notice about the multiplication problems that resulted in a whole number?”

This sorting activity can be done individually, in pairs, or as a whole group. It is a simple yet effective way to help students grasp the concept of multiplying unit fractions by whole numbers. By incorporating visuals and providing opportunities for discussion, students can more easily understand these abstract concepts, leading to a deeper understanding of fractions and multiplication.