The partial products strategy is essential for students to build a foundational understanding of place value as it relates to multiplication. This lesson may be taught on its own or used as a pre-lesson to Multiplying Multiples.
Students will be able to solve multi-digit multiplication with the partial products strategy.
Students will be able to discuss the meaning and process of the partial products strategy to multiply, using partner work and sentence starters.
Ask students to consider the multiplication problem: "There are 52 rows with 25 seats in each row in the school's auditorium. How many people can the auditorium seat?"
Give students time to discuss the problem with a partner. Have them explore how they might approach solving it.
Gather students' responses and acknowledge their background knowledge on multiplication. Students may mention the standard algorithm, area models, repeated addition, or other strategies they know. Jot down their ideas and allow for student exploration and interaction with the various strategies to solve the problem and reach the conclusion that the auditorium can fit 1,300 people.
Tell students that today they will learn how to multiply multi-digit numbers with a useful strategy called partial products.