Use partitioning and known facts to divide 2-digit by 1-digit numbers mentally

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Maths
Year 3
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Use partitioning and known facts to divide 2-digit by 1-digit numbers mentally
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CanDo Maths

Maths Resource Description

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ArithmeKit 3 offers a strategic approach to dividing 2-digit numbers by 1-digit numbers using mental arithmetic. The method involves partitioning and applying known multiplication and division facts to simplify calculations. For example, to divide 42 by 3, one would partition the number 42 into 30 and 12. These parts are then individually divided by 3, resulting in 10 and 4 respectively. When summed, these results give the final answer of 14. This technique is not just limited to one problem; it can be applied to various calculations such as 54 ÷ 3, 48 ÷ 3, and 52 ÷ 4, with answers being 18, 16, and 13 respectively.

The kit also includes activities to match division problems with their correct answers, such as pairing 72 ÷ 3 with 24. These exercises help strengthen mental division skills and understanding of numerical relationships. Additionally, there are puzzles where students fill in missing digits to complete division statements correctly, reinforcing the concept that division of a 2-digit number by a 1-digit number may not always result in a 2-digit quotient. This engaging learning tool encourages students to explore multiple methods and find patterns in numbers, enhancing their arithmetic fluency and problem-solving abilities.