Improper and Proper Fractions of an Integer, with solutions, Differentiated, Starter or Plenary

Ideal starter for KS3, although could be used for younger or older as differentiation available.

The general concept has been derived from a function machine. You start with 9 input numbers, which needs to go through an operation. The operation for this specific function machine is to find fractions of amounts. So you need to find five sixths of 30 for example. There are a total of four operations so there up to 36 answers students need to find. Working alongside this is a more challenging sheet, which involves the students using the ‘output’ numbers first to work out the ‘input’ numbers, and hence understanding the importance of working backwards through the operations. Most importantly, both the basic style worksheet and the challenging worksheet work in conjunction with each other, such that they both link to the same solutions, which are provided. The picture provided demonstrates the answers to one of the potential worksheets.

Has been used many times successfully within classrooms for year 7s, 8s, and year 9s.
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If you would like an infinite number of these worksheets please visit: https://www.tes.com/teaching-resource/fractions-of-amounts-last-minute-maths-starter-colourful-differentiated-worksheets-solutions-11847685

For a bundle of 4 of these resources see https://www.tes.com/teaching-resource/last-minute-starter-differentiated-worksheets-number-pc-fractions-and-more-solutions-11692992