Multiplication and Division (1) - Multiply by 10, 100 and 1,000 - Starter

In the context of a Year 5 mathematics lesson, students are presented with a variety of tasks to enhance their understanding of multiplication and division, specifically multiplying by 10, 100, and 1,000. The exercises begin with basic multiplication problems where students are asked to calculate the products of single and double-digit numbers with multiples of ten. Examples include multiplying 4 by 10 and 100, as well as 78 by 10 and 100, which helps students grasp the concept of scaling numbers by powers of ten. The correct answers to these problems would be 40, 400, 780, and 7,800 respectively. This exercise reinforces the idea that multiplying by 10 or 100 shifts the digits to the left, creating larger numbers.

Additionally, the lesson incorporates a spatial reasoning element by asking students to translate coordinates on a grid. They apply their knowledge of direction and distance to move points a specified number of units down, left, right, or up. For example, moving the point (14,9) eight units down and three to the left results in the new coordinates (11,1). This practical application of mathematical concepts helps students visualise the effects of coordinate transformations. Moreover, students are prompted to compare the surface area of two shapes, enhancing their ability to evaluate and reason about space and measurement. The lesson also includes arithmetic problems that involve adding and subtracting fractions with a common denominator, such as 13/67 and 27/34, which are designed to challenge students' numerical fluency and understanding of fractions.