Addition, Subtraction, Multiplication and Division - Area model (PV counters) - Presentation

In a mathematics presentation focused on the four operations, students are introduced to the area model as a visual method for multiplying two-digit numbers. The area model, also known as the box method, involves using a grid to break down the numbers into tens and ones, creating a clear representation of the multiplication process. For example, to multiply 23 by 22, students would construct an area model with lengths of 20 and 3 and widths of 20 and 2, then multiply each section separately before summing the parts to find the total area, which represents the product of the multiplication.

Throughout the presentation, students are engaged in a series of activities that involve using base 10 blocks and place value counters to build the area model for various two-digit multiplication problems. They are encouraged to discuss and explore different aspects of the model, such as identifying the parts that represent specific multiplication components like 20 x 20 or what the number 40 signifies in the context of the model. This hands-on approach helps to solidify their understanding of the multiplication process and its relation to area, while also addressing common misconceptions and reasoning skills through targeted questions and problem-solving scenarios.