Addition, Subtraction, Multiplication and Division - Division with remainders (Place value counters) - Starter

In a series of mathematical exercises designed for Year 6 pupils during the Autumn term, students are challenged with a variety of tasks involving division with remainders, using place value counters and short division methods. They are tasked to complete calculations by employing their understanding of place value and the operations of addition and subtraction. For instance, one problem requires students to subtract six hundreds and thirty-eight ones from a total of four thousands and sixty-seven tens, with the aim of finding the missing number in the equation 9,039 minus an unknown equals 8,276. This exercise not only tests their arithmetic skills but also reinforces their grasp of number placement and the concept of exchange in column addition.

Additionally, the material includes a visual representation of place value counters to aid in understanding the process of division and the necessity of exchanging values between columns. For example, students are shown how to write out a calculation in numerals and explain why certain exchanges are made, such as converting ten tens into one hundred or ten hundreds into one thousand. Moreover, the exercises incorporate the conversion of fractions to decimals, with students being required to recognise that the fraction 1/100 is equivalent to the decimal 0.14. These activities are designed to deepen the pupils' comprehension of numerical relationships and the practical application of mathematical concepts in problem-solving scenarios.