Multiplication and Division (2) - Area model (Base ten) - Worksheet

In Lesson 4 of the multiplication and division series, students are introduced to the area model for multiplying numbers, using Base 10 blocks to visually represent and understand the concept. The National Curriculum objective is to multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers. The lesson provides differentiated sheets and teaching slides to cater to different learning levels. Students will start by using Base 10 to represent the area model, allowing them to grasp the size and scale involved in multiplication. Progressing through the lesson, children will transition from visual representation using Base 10 to more abstract methods, such as place value counters and grid methods, enhancing their fluency and precision in multiplication.

The lesson includes a variety of activities designed to deepen understanding. Students begin with calculations provided on sheets where they can manipulate cut-out representations and partition their answers in their workbooks. As they advance, they write their calculations and represent them using the area model independently. For those working towards, within, or at greater depth, the lesson offers reasoning and problem-solving exercises. These exercises challenge students to match calculations with their corresponding area models, represent calculations with given Base 10 blocks, and determine the smallest and greatest possible products by analyzing the blocks' orientation. Such activities not only reinforce the multiplication concepts but also develop critical thinking and problem-solving skills.