Multiplication and Division - Efficient Multiplication - Worksheet

The worksheet titled 'Efficient Multiplication' is designed to enhance Year 6 pupils' proficiency in mental multiplication by utilising place value, known facts, and derived facts. It encourages students to explore various methods of calculating by partitioning two-digit numbers into tens and ones or into factor pairs. This approach is aimed at fostering flexibility and efficiency in mental multiplication. The resources provided for this lesson include differentiated sheets and teaching slides, while the key vocabulary encompasses terms such as multiplication, efficient, calculate, partition, factor pairs, and mental methods. The worksheet poses questions to students such as which multiplication method they find most efficient and challenges them to explain the methods used by others.

One of the techniques highlighted in the worksheet is Tia's method for multiplying numbers by 5. This involves initially multiplying the number by 10 and then halving the result. For instance, to calculate 64 x 5, one would first find 64 x 10 to get 640, and then divide by 2 to arrive at 320. This method is then applied to other calculations such as 88 x 5 and 42 x 5. Additionally, the worksheet presents different methods for multiplying numbers like 20 x 8, and asks students to compare them, choose their preferred method, and suggest other efficient ways to perform the calculation. The worksheet concludes with reasoning and problem-solving sections, where students are tasked with comparing methods used by characters such as Zach and Esin to find the most efficient approach to multiplication problems like 20 x 6 and 45 x 7.