Multiplication and Division (2) - Multiply 4-Digits by 1-Digit (Pictorial representations) - Worksheet

The provided worksheet is aimed at enhancing the mathematical skills of students, particularly focusing on multiplying 4-digit numbers by 1-digit numbers, with an emphasis on using pictorial representations to aid understanding. The lesson aligns with the National Curriculum objective of multiplying numbers up to 4 digits by a one- or two-digit number using a formal written method. To facilitate learning, differentiated sheets and teaching slides are employed as resources. The vocabulary central to the lesson includes multiplication, product, represent, place holder, and exchange. Students begin by using concrete manipulatives to represent the multiplication of a 4-digit number by a 1-digit number, carefully addressing common misconceptions such as the use of 0 as a place holder.

As the lesson progresses, students are challenged with word problems that require them to complete calculations based on pictorial images. They practice laying out their calculations, understanding the value of each digit, and dealing with exchanges when a column exceeds ten. For instance, students may encounter a problem where they have to calculate the total earnings of an individual over several weeks, using the provided place value chart to aid in their multiplication. The worksheet encourages students to think critically about the structure of multiplication and the importance of precision in their calculations. By addressing reasoning and problem-solving tasks, students deepen their understanding of multiplication and develop their ability to represent and solve word problems pictorially.