Fractions

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1
Main: addition and subtraction of fractions and mixed numbers

    ¾ + ½,       ¾ - ½,       3¼ + 1½,    2¼ - 1½

Addition and Subtraction of fractions Powerpoint

Addition and Subtraction of fractions Easiteach

Mymaths: Number: Fractions: Adding Subtracting
 
         
 2 Starter: multiplying a fraction by an integer e.g. ½ x 60, 1/5 x 20

Main: multiply a fraction by a fraction including mixed numbers cancelling at the end

    ¾  x  ½,       ¾ x ½,       3¼ x 1½

Mymaths; Number: Fractions: Improper and Mixed: 4-5

Plenary: understand the term ‘reciprocal’ and that the product of a number and it’s reciprocal is 1 and zero has no reciprocal because 1 divided by zero is undefined
           
3
Starter: dividing an integer by a fraction e.g. 20 ÷ ¼

Main: division of fractions cancelling at the end (understand the term ‘reciprocal’ as a multiplicative inverse)

    ¾ ÷ ½,       ¾ ÷ ½,       3¼ ÷ 1½       

Extension: multiply and divide fractions and mixed by cancelling common factors before you multiply






4
Starter: converting fractions to decimals e.g. write 7/20 as a decimal using equivalent fractions or use short division to write 3/7 as a decimal

Main: Order fractions by writing them with a common denominator and/or converting fractions to decimals

Equivalent fractions diagrams powerpoint

Investigation: pupils find out which fractions are terminating and understand the difference between terminating and recurring decimals.






5
Main: convert simple recurring decimals to fractions

Recuuring Decimals Easiteach
Recurring Decimals 2

Candidates should recognise that recurring decimals are exact fractions and that some exact fractions are recurring decimals






6
Main: harder questions involving converting– insist on the proper method with no short cuts including proofs.