Multiplication and division - Multiply two digits by one digit - Presentation

In the realm of multiplication and division, the lesson titled "Multiply two digits by one digit" introduces students to the concept of exchanging when the product of multiplication exceeds a single column's capacity. The lesson begins by encouraging students to reflect on what exchange means and when it might be necessary. Using practical examples, such as calculating 24 multiplied by 4 with the aid of Base 10 blocks, the students explore the process of multiplication in a visual and tangible way. The activities are designed to solidify their understanding of what happens when the ones column accumulates more than ten units, necessitating an exchange to the tens column for proper place value representation.

As the lesson progresses, students are presented with various multiplication scenarios that require them to apply the concept of exchange. For instance, they use place value counters to multiply numbers like 16 by 4, observing what occurs when the ones column reaches or surpasses twenty. The lesson also prompts students to compare two different methods of calculation—Zach's method using Base 10 blocks and Malachi's method with place value counters—encouraging them to discuss and evaluate which they prefer and why. Through a series of activities, including reasoning exercises and independent work, students are challenged to identify and correct mistakes, such as incorrect exchanges, and to apply their skills to get as close as possible to a target number through multiplication, thereby deepening their comprehension of the multiplication process and its relationship with place value.