Addition, Subtraction, Multiplication and Division - Area model (PV counters) - Starter

In a mathematics session for Year 6, students are tasked with a series of calculations to test their proficiency in addition, subtraction, multiplication, and division. The exercise begins with a 'Fluent in Four - Revision' section, where the children are required to convert mixed numbers into improper fractions and perform a subtraction involving large numbers. For example, the subtraction problem 58,481 minus 4,058 is presented, and students must calculate the result. Additionally, they are asked to solve a multiplication problem using an area model with place value (PV) counters, which helps visualise the multiplication process across thousands, hundreds, tens, and ones.

Another part of the lesson involves estimating the total cost of a school trip by rounding the costs of individual components to the nearest hundred. The costs provided include tickets at £266.40, coach hire at £342.90, and lunch at £135.60. Students must use their rounding skills to approximate the total cost, reinforcing their understanding of place value and estimation. In the context of fractions, they must convert mixed numbers such as 3 4/7 into improper fractions, further enhancing their numerical fluency and ability to manipulate different mathematical forms. The session is designed to provide a comprehensive review of key mathematical concepts, ensuring that students are well-prepared for more advanced topics.