3x - 8x3 CanDoTables Mat

The CanDoTables Mat is a teaching resource designed to help students understand and practice multiplication and division through a variety of methods and visual aids. The mat provides a structured approach to breaking down the multiplication of 3 by 8, which equals 24, by using different techniques and representations. The 'Draw it' section encourages students to visually represent the multiplication as an array, with three rows of eight, summing up to 24. The 'Derive it' section prompts students to dissect the multiplication into smaller, more manageable parts, reinforcing the concept that multiplication is repeated addition.

The 'Deepen it' section of the mat challenges students to engage with the concept on a deeper level. They are asked to use a number line to visualize the multiplication as a series of jumps, and to consider the multiplication in groups and in different forms, such as '3 multiplied by 8 is 24' or '3 groups of 8 is 24'. The exercises also involve division, asking students to think about how 24 can be divided equally into groups of 3, and what the factors and multiples of these numbers are. The mat includes true or false questions, scaling exercises, and real-world application problems, such as calculating the total number of sides in eight triangles or determining the number of chairs in rows, to help students apply their understanding in various contexts. The resource is a comprehensive tool for helping students grasp the relationship between multiplication, division, and number properties.