6-week session/ 45-minute virtual sessions, that's 4 and 1/2 hours of learning!
Sept. 9, 16, 23, 30 (skip Oct. 6) Oct. 14, 21
9:30-10:15am

Join our virtual workshops and discover the power of division exploration!

This workshop is designed for students to build a solid foundation for understanding division. We will move beyond rote memorization of facts to explore the conceptual underpinnings of division, making it a more intuitive and meaningful operation for learners.

I. Understanding the Concept of Division: Grouping and Sharing Models

We will begin by establishing the two fundamental models of division: sharing and grouping. Using hands-on manipulatives, we will differentiate between these two concepts.

Sharing: A quantity is distributed equally among a known number of groups. For example, "15 cookies are shared equally among 3 friends. How many cookies does each friend get?" Here, the number of groups is known, and we are solving for the size of each group.

Grouping: A quantity is grouped into a known size. For example, "You have 15 cookies and want to put 3 cookies in each bag. How many bags can you fill?" Here, the size of each group is known, and we are solving for the number of groups.

Understanding this distinction is crucial for problem-solving and selecting appropriate strategies.

II. Visualizing Division: The Case of 25 ÷ 5

Next, we will take a deeper dive into the specific problem of 25 ÷ 5, using a variety of visual models to demonstrate the different ways to think about this operation.

Arrays: We will arrange 25 objects into a rectangular array. By forming rows of 5, we can see that there are 5 columns, visually representing 25 ÷ 5 = 5. This model beautifully connects to the concept of repeated subtraction.

Area Model: We will use a visual area model to show a rectangle with an area of 25 square units. If one side length is 5, we can determine the other side length is also 5. This model builds a strong connection between division and geometry.

Multiple Strategies: Beyond arrays and area models, we will explore other strategies such as repeated subtraction on a number line, skip counting, and using manipulatives. This section will highlight that there isn't just one way to solve a division problem.

III. The Relationship Between Multiplication and Division

Finally, we will explore the inverse relationship between multiplication and division. We will use the models we've built to demonstrate how 25 ÷ 5 = 5 is directly related to 5 × 5 = 25. Understanding this relationship is a powerful tool for solving problems and checking for accuracy. We will introduce the concept of a "fact family" to solidify this understanding, showing how the numbers 5, 5, and 25 are interconnected through both multiplication and division.

This workshop will provide students with practical strategies to make the concept of division clear, accessible, and engaging for all learners.