Num 7 FractionsThe Num 7 Fractions network begins with two topics in which activities with physical objects develop the concepts of denominator and numerator, leading to viewing fractions as a double operation. Bar notation for fractions is introduced leading to equivalent fractions and decimal fractions (concurrently with supporting decimal fraction activities in NuSp 1, The Number track and the number line network). Fractions also come to be seen as numbers and as quotients. Activities dealing with rounding decimal fractions in placevalue notation round out the network. A listing of the individual activities contained in the Num 7 network follows the Num 7 "concept map."
© Richard R. Skemp, 1993, 1994. SAIL through Mathematics, Volume 1, Volume 2.

Topic 1 Making equal parts 1/1 Making equal parts 1/2 Same kind, different shapes 1/3 Parts and bits 1/4 Sorting parts 1/5 Match and mix: parts Topic 2 Take a number of like parts 2/1 Feeding the animals 2/2 Trainee keepers, qualified keepers 2/3 Head keepers Topic 3 Fractions as a double operation; notation 3/1 Expanding the diagram 3/2 "Please may I have?" (Diagrams and notation) Topic 4 Simple equivalent fractions 4/1 "Will this do instead?" 4/2 Sorting equivalent fractions 4/3 Match and mix: equivalent fractions 
Topic 5 Decimal fractions and equivalents 5/1 Making jewellery to order 5/2 Equivalent fraction diagrams (decimal) 5/3 Pair, and explain 5/4 Match and mix: equivalent decimal fractions Topic 6 Decimal fractions in placevalue notation 6/1 Reading headed columns in two ways 6/2 Same number, or different? 6/3 Claiming and naming Topic 7 Fractions as numbers. Addition of decimal fractions in placevalue notation. 7/1 Target, 1 7/2 "How do we know that our method is still correct?" Topic 8 Fractions as quotients 8/1 Fractions for sharing 8/2 Predict, then press 8/3 "Are calculators clever?" 8/4 Number targets by calculator Topic 9 Rounding decimal fractions in placevalue notation 9/1 Rounding decimal fractions 9/2 Fractional number targets 