Multiplication and division - Related Calculations - Worksheet

The provided worksheet from masterthecurriculum.co.uk is designed to reinforce the understanding of multiplication and division through related calculations. The National Curriculum objective is for students to write and calculate mathematical statements for multiplication and division, using known multiplication tables, and to apply this knowledge to larger numbers, progressing from mental to formal written methods. To support learning, differentiated sheets and teaching slides are recommended. The vocabulary for the lesson includes terms such as multiplication, division, calculation, place value counters, manipulatives, and related calculations. Students are expected to use multiplication facts they are familiar with to solve new problems, recognizing patterns such as tenfold increases in one of the numbers in the calculation resulting in a tenfold increase in the answer. Concrete manipulatives are suggested to aid conceptual understanding.

Key questions posed in the worksheet encourage students to compare and contrast the use of place value counters, to understand how known facts can assist in solving new problems, and to validate their answers using manipulatives. The worksheet tasks vary in complexity, catering to different levels of proficiency. For instance, some children work on simpler times tables, multiplying by 2, 5, and 10, while others tackle a range of multiplication facts or larger calculations beyond the known facts, including more problem-solving questions. Reasoning and problem-solving sections challenge students to validate statements such as "4 × 20 = 2 × 40" and to apply their understanding of scaling by ten in practical contexts. This structured approach ensures that students not only practice fluency and precision in their calculations but also deepen their understanding of the concepts involved.