Addition, Subtraction, Multiplication and Division - Reason from known facts - Worksheet

The worksheet titled "Reason from Known Facts" is a mathematics resource designed to help Year 6 students improve their arithmetic skills by using estimation to verify the accuracy of their answers and determine the appropriate level of precision required in the context of a problem. The National Curriculum objective is to encourage the use of estimation alongside calculations to ensure results are reasonable. Students are provided with differentiated worksheets and teaching slides to aid their learning. The key vocabulary for this lesson includes terms such as calculations, inverse operations, estimation, and commutativity. The exercises encourage students to utilize known facts from one calculation to find the answers to similar ones without recalculating from scratch. This involves applying their understanding of the commutative property of multiplication and the concept of inverse operations.

Students are prompted to answer key questions such as identifying the inverse operation and understanding when and how to use it. The worksheet tasks involve finding products or quotients using known facts. For example, students might use the fact that 70 divided by 2 equals 35 to solve similar division problems. The exercises are tiered according to difficulty level, with some children working with simple multiples of 5 and 10, while others tackle a range of 2-digit or 3-digit numbers. The activity also includes reasoning and problem-solving sections where students determine the truth of given statements based on their calculations and identify which calculations yield the same product as a specific multiplication, such as 15 times 6. This approach reinforces their arithmetic skills and enhances their ability to reason mathematically based on known facts.