This text book contains a series of chapters covering topics which can all be used to build up the appreciation of the relationships between number patterns, sequences, formulae and the geometric context in which they are generated.
Shapes and numbers develops the link between geometric representation of square numbers, rectangles, factors and multiples, prime numbers, and the relationships between consecutive triangular number and square numbers.
Numbers from patterns explores a variety of practical patterns from which number patterns can be generated such as surrounding coins with other coins, patterns using tennis balls and the mystic rose.
Exploring numbers explores how number sequences are generated by growing shapes drawn on isometric paper, drawing squares or using interlinking cubes. Students are asked to explore, generate and explain formulae for the perimeter of a rectangle, the area of a square and the area of shapes made using pin boards and elastic bands.
Spreadsheets and sequences lead the learner through a number of situations in which sequences can be generated. To be able to generate the number sequences requires the students to understand the structure of the sequence.