Overview of the Mathematics K–6 Syllabus :Overview of the Mathematics K–6 Syllabus


Implementation :2 Implementation K–6 Syllabus: determined by systems Years 7–10 Syllabus: 2004 – Years 7 and 8 2005 – Years 7 to 9 2006 – Years 7 to 10


Continuum of learning K–10 :3 Continuum of learning K–10 overview of key ideas illustrates prior learning and pathways for future learning content is not repeated DET Sales: 9793 3086 www.det.nsw.edu.au/detsales


The new K–10 Mathematics Syllabuses :4 The new K–10 Mathematics Syllabuses programming Working Mathematically Essential Content and Additional Content assessment for learning/ assessment of learning


K–10: Essential Content in six strands :5 K–10: Essential Content in six strands process strand : Working Mathematically content strands : Number, Patterns and Algebra *, Data *, Measurement, Space and Geometry


Support for Mathematics K–6 :6 Support for Mathematics K–6 Principal’s Package Introduction for Parents/Community Members Sample Units of Work CD-ROM: all print documents assessment activities with annotated work samples all materials available: K–6 website: www.bosnsw-k6.nsw.edu.au email: clientservices@boardofstudies.nsw.edu.au


K–6 CD-ROM …1 :7 K–6 CD-ROM …1


K–6 CD-ROM …2 :8 K–6 CD-ROM …2


K–6 CD-ROM …3 :9 K–6 CD-ROM …3


K–6 CD-ROM …4 :10 K–6 CD-ROM …4


K–6… Number :11 K–6… Number number concepts strengthened focus on visualisation and mental computation 5 substrands : Whole Numbers, Addition and Subtraction, Multiplication and Division, Fractions and Decimals, Chance money negative numbers on the number line page 59: should read:


K–6… Patterns and Algebra :12 K–6… Patterns and Algebra pre-algebra concepts developed from Early Stage 1 importance of early number learning in the development of algebraic thinking emphasises number patterns and number relationships completing a table of values


K–6… Data :13 K–6… Data understand, interpret and analyse data displayed in tabular or graphical forms collection, organisation, display and analysis of data real-life contexts using concrete materials use of technology: spreadsheets, databases, software packages, Internet finding the mean comparison of different displays misleading representation


K–6… Measurement :14 K–6… Measurement compare and order objects approximation and estimation use of appropriate unit and device in measuring a particular attribute 5 substrands: Length, Area, Volume and Capacity, Mass, Time temperature not a substrand surface area of a rectangular prism


K–6… Space and Geometry :15 K–6… Space and Geometry representation of shape, pattern, position and movement of objects develop angle concepts 3 substrands: Three-dimensional Space, Two-dimensional Space, Position identify and name parts of a circle determine the order of rotational symmetry


Stage 4: Number :16 Stage 4: Number recognises the properties of special groups of whole numbers and applies a range of strategies to aid computation compares, orders and calculates with integers operates with fractions, decimals, percentages, ratios and rates solves probability problems involving simple experiments


Stage 4: Patterns and Algebra :17 Stage 4: Patterns and Algebra uses letters to represent numbers and translates between words and algebraic symbols creates, records, analyses and generalises number patterns using words and algebraic symbols in a variety of ways uses the algebraic symbol system to simplify, expand and factorise simple algebraic expressions uses algebraic techniques to solve linear equations and simple inequalities graphs and interprets linear relationships on the number plane


Stage 4: Data :18 Stage 4: Data constructs, reads and interprets graphs, tables, charts and statistical information collects statistical data using either a census or a sample, and analyses data using measures of location and range


Stage 4: Measurement :19 Stage 4: Measurement uses formulae and Pythagoras’ theorem in calculating perimeter and area of circles and figures composed of rectangles and triangles calculates surface area of rectangular and triangular prisms and volume of right prisms and cylinders performs calculations of time that involve mixed units


Stage 4: Space and Geometry :20 Stage 4: Space and Geometry describes and sketches three-dimensional solids including polyhedra, and classifies them in terms of their properties identifies and names angles formed by the intersection of straight lines, including those related to transversals on sets of parallel lines, and makes use of the relationships between them classifies, constructs, and determines the properties of triangles and quadrilaterals identifies congruent and similar two-dimensional figures stating the relevant conditions