MATHS-+5

= YEAR 5 MATHS = exploring efficient ways of finding the areas of rectangles, such as recognising that counting the number of square centimetres in a grid gives the same result as multiplying the length and width || Critical and creative thinking, Numeracy ||  ||
 * ** MATHEMATICS STRANDS **  ||  ** MATH SUB-STRANDS **   ||  ** ELEMENT **   || * ** ELABORATION ** ||  ** GENERAL CAPABILITIES **   ||  ** CROSS-CURRICULA PRIORITIES **   ||
 * Number and Algebra || Number and place value (F-8) || Identify and describe factors and multiples of whole numbers and use them to solve problems (ACMNA098) || * exploring factors and multiples using number sequences
 * using simple divisibility tests || Critical and creative thinking, Literacy , Numeracy ||  ||
 * Number and Algebra || Number and place value (F-8) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Use estimation and rounding to check the reasonableness of answers to calculations (ACMNA099) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">recognising the usefulness of estimation to check calculations
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">applying mental strategies to estimate the result of calculations, such as estimating the cost of a supermarket trolley load || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Literacy , Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and place value (F-8) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">exploring techniques for multiplication such as the area model, the Italian lattice method or the partitioning of numbers
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">applying the distributive law and using arrays to model multiplication and explain calculation strategies || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, ICT, Literacy , Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and place value (F-8) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Solve problems involving division by a one digit number, including those that result in a remainder (ACMNA101) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">using the fact that equivalent division calculations result if both numbers are divided by the same factor
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">interpreting and representing the remainder in division calculations sensibly for the context || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, ICT, Literacy , Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and place value (F-8) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">using calculators to check the reasonableness of answers ||  ||   ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Fractions and Decimals (1-6) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Compare and order common unit fractions and locate and represent them on a number line (ACMNA102) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">recognising the connection between the value of a unit fraction and its denominator || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Fractions and Decimals (1-6) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">modelling and solving addition and subtraction problems involving fractions by using jumps on a number line, or making diagrams of fractions as parts of shapes || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Fractions and Decimals (1-6) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Recognise that the number system can be extended beyond hundredths (ACMNA104) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">recognising the equivalence of thousandths and 0.001 || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Fractions and Decimals (1-6) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Compare, order and represent decimals (ACMNA105) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">locating decimals on a number line
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">recognising that the number of digits after the decimal place is not equivalent to the value of the fraction || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Money and financial Maths (1-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Create simple financial plans (ACMNA106) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">creating a simple budget for a class fundraising event
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">identifying the GST component of invoices and receipts || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Patterns and algebra (F-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction (ACMNA107) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">using the number line or diagrams to create patterns involving fractions or decimals || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Literacy , Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Number and Algebra || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Patterns and algebra (F-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Use equivalent number sentences involving multiplication and division to find unknown quantities (ACMNA121) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">using relevant problems to develop number sentences || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Literacy , Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Measurement and Geometry || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Using units of measurement (F-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Choose appropriate units of measurement for length, area, volume, capacity and mass (ACMMG108) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">recognising that some units of measurement are better suited for some tasks than others, for example kilometres rather than metres to measure the distance between two towns
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">investigating alternative measures of scale to demonstrate that these vary between countries and change over time, for example temperature measurement in Australia, Indonesia, Japan and USA || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Literacy, Numeracy || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Asia and Australia’s engagement with Asia ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Measurement and Geometry || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Using units of measurement (F-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Calculate the perimeter and area of rectangles using familiar metric units (ACMMG109) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">exploring efficient ways of calculating the perimeters of rectangles such as adding the length and width together and doubling the result
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Measurement and Geometry || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Using units of measurement (F-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Compare 12- and 24-hour time systems and convert between them (ACMMG110) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">investigating the ways time was and is measured in different Aboriginal Country, such as using tidal change
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">using units hours, minutes and seconds || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Numeracy || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Aboriginal Torres Straight Is history and culture ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Measurement and Geometry || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Shape (F-7) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">identifying the shape and relative position of each face of a solid to determine the net of the solid, including that of prisms and pyramids
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">representing two-dimensional shapes such as photographs, sketches and images created by digital technologies || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Literacy, Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Measurement and Geometry || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Location and transformation (F-7) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Use a grid reference system to describe locations. Describe routes using landmarks and directional language (ACMMG113) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">comparing aerial views of Country, desert paintings and maps with grid references
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">creating a grid reference system for the classroom and using it to locate objects and describe routes from one object to another || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Literacy , Numeracy || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Aboriginal Torres Straight Is history and culture ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Measurement and Geometry || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Location and transformation (F-7) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (ACMMG114) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">identifying and describing the line and rotational symmetry of a range of two-dimensional shapes, by manually cutting, folding and turning shapes and by using digital technologies
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">identifying the effects of transformations by manually flipping, sliding and turning two-dimensional shapes and by using digital technologies || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Measurement and Geometry || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Location and transformation (F-7) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original (ACMMG115) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">using digital technologies to enlarge shapes
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">using a grid system to enlarge a favourite image or cartoon || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Measurement and Geometry || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Geometric reasoning (3-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Estimate, measure and compare angles using degrees. Construct angles using a protractor (ACMMG112) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">measuring and constructing angles using both 180° and 360° protractors || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Statistics and Probability || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Chance (1-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">commenting on the likelihood of winning simple games of chance by considering the number of possible outcomes and the consequent chance of winning in simple games of chance such as jan-ken-pon (rock-paper-scissors) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Literacy , Numeracy || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Asia and Australia’s engagement with Asia ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Statistics and Probability || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Chance (1-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Recognise that probabilities range from 0 to 1 (ACMSP117) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">investigating the probabilities of all outcomes for a simple chance experiment and verifying that their sum equals 1 || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Literacy, Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Statistics and Probability || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Data representation / interpretation (F-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Pose questions and collect categorical or numerical data by observation or survey (ACMSP118) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">posing questions about insect diversity in the playground, collecting data by taping a one-metre-square piece of paper to the playground and observing the type and number of insects on it over time || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Literacy, Numeracy || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Sustainability ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Statistics and Probability || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Data representation / interpretation (F-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies (ACMSP119) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">identifying the best methods of presenting data to illustrate the results of investigations and justifying the choice of representations || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, ICT, Literacy , Numeracy ||  ||
 * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Statistics and Probability || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Data representation / interpretation (F-10) || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Describe and interpret different data sets in context (ACMSP120) || * <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">using and comparing data representations for different data sets to help decision making, such as choosing the best mobile phone plan || <span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 90%;">Critical and creative thinking, Literacy , Numeracy ||  ||