GENERAL CAPABILITIES- ICT- MATHEMATICS- F-6
MATHEMATICS STRANDS / MATH SUB-STRANDS / YEAR LEVEL / ELEMENT / · ELABORATION /Measurement and Geometry / Shape (F-7) / 2 / Describe and draw two-dimensional shapes, with and without digital technologies (ACMMG042) / · identifying key features of squares, rectangles, triangles, kites, rhombuses and circles, such as straight lines or curved lines, and counting the edges and corners
Measurement and Geometry / Location and transformation (F-7) / 2 / Investigate the effect of one-step slides and flips with and without digital technologies (ACMMG045) / · understanding that objects can be moved but changing position does not alter an object’s size or features
Number and Algebra / Number and place value (F-8) / 3 / Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057) / · writing simple word problems in numerical form and vice versa
· using a calculator to check the solution and reasonableness of the answer
Statistics and Probability / Data representation / interpretation (F-10) / 3 / Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies (ACMSP069) / · exploring meaningful and increasingly efficient ways to record data, and representing and reporting the results of investigations
Number and Algebra / Number and place value (F-8) / 4 / Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076) / · using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder
Number and Algebra / Money and financial Maths (1-10) / 4 / Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies (ACMNA080) / · recognising that not all countries use dollars and cents, eg India uses rupees.
· Carrying out calculations in another currency as well as in dollars and cents, and identifying both as decimal systems
Measurement and Geometry / Shape (F-7) / 4 / Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies (ACMMG088) / · identifying common two-dimensional shapes that are part of a composite shape by re-creating it from these shapes
· creating a two-dimensional shapes from verbal or written instructions
Measurement and Geometry / Location and transformation (F-7) / 4 / Create symmetrical patterns, pictures and shapes with and without digital technologies (ACMMG091) / · using stimulus materials such as the motifs in Central Asian textiles, Tibetan artefacts, Indian lotus designs and symmetry in Yolngu or Central and Western Desert art
Statistics and Probability / Data representation / interpretation (F-10) / 4 / Construct suitable data displays, with and without the use of digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values (ACMSP096) / · exploring ways of presenting data and showing the results of investigations
· investigating data displays using many-to-one correspondence
Number and Algebra / Number and place value (F-8) / 5 / Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) / · exploring techniques for multiplication such as the area model, the Italian lattice method or the partitioning of numbers
· applying the distributive law and using arrays to model multiplication and explain calculation strategies
Number and Algebra / Number and place value (F-8) / 5 / Solve problems involving division by a one digit number, including those that result in a remainder (ACMNA101) / · using the fact that equivalent division calculations result if both numbers are divided by the same factor
· interpreting and representing the remainder in division calculations sensibly for the context
Statistics and Probability / Data representation / interpretation (F-10) / 5 / Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies (ACMSP119) / · identifying the best methods of presenting data to illustrate the results of investigations and justifying the choice of representations
Number and Algebra / Number and place value (F-8) / 6 / Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123) / · applying strategies already developed for solving problems involving small numbers to those involving large numbers
· applying a range of strategies to solve realistic problems and commenting on the efficiency of different strategies
Number and Algebra / Fractions and Decimals (1-6) / 6 / Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies (ACMNA127) / ·
Number and Algebra / Fractions and Decimals (1-6) / 6 / Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128) / · extending whole-number strategies to explore and develop meaningful written strategies for addition and subtraction of decimal numbers to thousandths
· exploring and practising efficient methods for solving problems requiring operations on decimals, to gain fluency with calculating with decimals and with recognising appropriate operations
Number and Algebra / Fractions and Decimals (1-6) / 6 / Multiply decimals by whole numbers and perform divisions that result in terminating decimals, with and without digital technologies (ACMNA129) / · interpreting and representing the remainder in division calculations, including non-integral remainders, appropriate to the context (for example understanding that the result of 6.5 ÷ 4 is sensibly expressed as 1.625km if the context involves dividing a 6.5km running course into four equal legs; $1.63 if it represents the price of one item where four sell for $6.50)
Number and Algebra / Money and financial Maths (1-10) / 6 / Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132) / · using authentic information to calculate prices on sale goods
Measurement and Geometry / Location and transformation (F-7) / 6 / Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142) / · understanding that translations, rotations and reflections can change the position and orientation of shapes and objects but not their geometric features or size
· visualising, demonstrating and describing the effects of transformations, such as using computer technology to visualise, test and record the movement of two-dimensional shapes, or designing a school or brand logo using transformation of one or more shapes
Measurement and Geometry / Geometric reasoning (3-10) / 6 / Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles (ACMMG141) / · building on students' understanding of turn and rotation in mapping and rotational symmetry to measure, estimate and compare angles in degrees and classify angles according to their sizes
· investigating the use of rotation and symmetry in the diagrammatic representations of kinship relationships of Central and Western Desert people
· estimating, measuring and comparing angles, for example, by recognising the magnitude of angles including 30°, 45°, 90°, 180° and 270° to make reasonable estimates of angles up to a complete turn of 360°, or using a protractor to measure angles to the nearest degree
· identifying that angles have arms and a vertex, and that size is the amount of turn required for one arm to coincide with the other; the size is measured in degrees with a protractor using the two alternate conventions for naming angles
· identifying that the size of a right angle is 90° and defining acute, obtuse and reflex angles and rotation by relating them to right angles
Statistics and Probability / Chance (1-10) / 6 / Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145) / · conducting repeated trials of chance experiments, identifying the variation between trials and realising that the results tend to the prediction with larger numbers of trials