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Year 3 programme of study - Number – fractions- recognise and show, using diagrams, equivalent fractions with small denominators.

These resources contain three basic approaches to understanding equivalent fractions:

  • Using 2-D shapes in the form of rectangles
  • The number line.
  • The numerical processes with multipliers and divisors.

Equivalent Fractions with rectangles
Equivalent fractions are modeled using rectangles, each representing the same area of a whole. This is an ideal visual way to introduce equivalent fractions before proceeding onto the using the number line or purely the numerical method.
The 4 Sets of Worksheets provide a step by step approach as follows:
Worksheet Set 1: Pupils are asked to write down the (equivalent) fractions of two colored-in rectangles.
Worksheet Set 2: Pupils colour in the areas on two rectangles that represent two given equivalent fractions.
Worksheet Set 3: Given two coloured-in rectangles and the denominators of the equivalent fractions, pupils must determine the numerators and the multiplier that connects the two fractions.
Worksheet Set 4: Given two coloured-in rectangles pupils are asked to write down the full fractions coloured-in and the multiplier connecting the two fractions.
How many worksheets are in each set ?
(almost) Unlimited. At the click of a button the numbers and the corresponding shaded parts of the rectangles are randomised, so you can create as many different worksheets as you need for classwork, homework, revision, preparing for assessment, fillers etc and the numbers will change every time.

Equivalent fractions on the number line.
Equivalent fractions are located at the same point on the number line.
The printable Worksheets consist of question containing 2 number lines divided up into a different number of equal parts between 0 and 1 which the pupils then have to compare
Worksheet Set 1: Pupils are asked to write down the equivalent fraction to the one shown taking into account the number of equal parts on the line.
Worksheet Set 2: Pupils have to write down the two equivalent fractions indicated on parallel number lines, each number line divided into a different number of equal parts.
How many worksheets are in each set ?
As with the worksheets with rectangles …almost Unlimited.
Answers are automatically generated every time.
Note
These Worksheets work with the official Adobe Acrobat Reader on Windows or Mac computers.

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