The tasks described do not require a textbook, a scheme or a worksheet. Various starting points re suggested and these are intended to capture students' interest. Each task begins with a practical, hand-on approach, using paper folding and Cuisenaire rods. Working in these ways I have found students are able to engage with concepts, such as adding fractions, by exploring for themselves the underpinning ideas.
Differentiated extension tasks are intended to cater for students' different learning needs. With regard to the content of the curriculum, the following skills and concepts can be accessed, developed or consolidated:
• comparing fractional lengths;
• fractional amounts in a circle;
• angles of regular shapes;
• adding fractions;
• writing fractions as decimal fractions;
• generalising fraction to decimal sequences;
• graphing fractions as decimals;
• equivalence of fractions;
• deriving gradients of straight lines.
Starting points and extension tasks
• Fractions from paper strips and paper circles (KS2 and KS3)
• Converting fractions to decimals (KS3)