YR 4- MATHEMATICS YEAR MATHEMATICS LEVEL STRANDS MATH SUBSTRANDS ELEMENT CODE ELEMENT 4 Number and Algebra Number and (ACMNA001) Establish understanding place value (Fof the language and 8) processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point (ACMNA001) 4 Number and Algebra Number and (ACMNA071) Investigate and use the place value (Fproperties of odd and 8) even numbers (ACMNA071) 4 Number and Algebra Number and (ACMNA072) Recognise, represent and place value (Forder numbers to at least 8) tens of thousands (ACMNA072) 4 Number and Algebra 4 Number and Algebra Number and (ACMNA073) Apply place value to place value (Fpartition, rearrange and 8) regroup numbers to at least tens of thousands to assist calculations and solve problems (ACMNA073) Number and (ACMNA074) Investigate number place value (Fsequences involving 8) multiples of 3, 4, 6, 7, 8, and 9 (ACMNA074) 4 Number and Algebra 4 Number and Algebra 4 Number and Algebra Fractions and (ACMNA077) Investigate equivalent Decimals (1-6) fractions used in contexts (ACMNA077) 4 Number and Algebra Fractions and (ACMNA078) Count by quarters halves Decimals (1-6) and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078) Number and (ACMNA075) Recall multiplication facts place value (Fup to 10 × 10 and 8) related division facts (ACMNA075) Number and (ACMNA076) Develop efficient mental place value (Fand written strategies 8) and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076) ELABORATION MATH LINKS reading stories from other cultures featuring counting in sequence to assist students to recognise ways of counting in local languages and across cultures identifying the number words in sequence, backwards and forwards, and reasoning with the number sequences, establishing the language on which subsequent counting experiences can be built developing fluency with forwards and backwards counting in meaningful contexts, including stories and rhymes understanding that numbers are said in a particular order and there are patterns in the way we say them using the four operations with pairs of odd or even numbers or one odd and one even number, then using the relationships established to check the accuracy of calculations reproducing five-digit numbers in words using their numerical representations, and vice versa recognising and demonstrating that the place-value pattern is built on the operations of multiplication or division of tens COUNTING recognising that number sequences can be extended indefinitely, and determining any patterns in the sequences using known multiplication facts to calculate related division facts using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder exploring the relationship between families of fractions (halves, quarters and eighths or thirds and sixths) by folding a series of paper strips to construct a fraction wall converting mixed numbers to improper fractions and vice versa investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations GENERAL CAPABILITIES CROSSCURRICULA PRIORITIES Literacy , Numeracy ALGEBRA/PATTERNS, Critical and COUNTING creative thinking , Literacy , Numeracy PLACE VALUE Critical and creative thinking , Literacy , Numeracy PLACE VALUE Critical and creative thinking , Literacy , Numeracy COUNTING, MULTIPLYING Critical and creative thinking , Literacy , Numeracy DIVIDING, MULTIPLY/DIVIDE, MULTIPLYING Numeracy DIVIDING, MULTIPLY/DIVIDE, MULTIPLYING Critical and creative thinking , ICT, Numeracy FRACTION/ DECIMAL Literacy , Numeracy FRACTION/ DECIMAL Literacy , Numeracy Aboriginal Torres Strait Is history and culture, Sustainability YR 4- MATHEMATICS YEAR MATHEMATICS LEVEL STRANDS MATH SUBSTRANDS ELEMENT CODE ELEMENT ELABORATION MATH LINKS 4 Number and Algebra Fractions and (ACMNA079) Recognise that the place Decimals (1-6) value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079) Critical and creative thinking , Literacy , Numeracy 4 Number and Algebra Money and (ACMNA080) financial Maths (1-10) Critical and creative thinking , ICT, Literacy , Numeracy 4 Number and Algebra Patterns and (ACMNA081) algebra (F-10) 4 Number and Algebra Patterns and (ACMNA082) algebra (F-10) 4 Number and Algebra Patterns and (ACMNA083) algebra (F-10) 4 Measurement and Geometry Using units of measurement (F-10) (ACMMG084) 4 Measurement and Geometry Using units of measurement (F-10) (ACMMG290) 4 Measurement and Geometry (ACMMG085) 4 Measurement and Geometry Using units of measurement (F-10) Using units of measurement (F-10) 4 Measurement and Geometry Shape (F-7) (ACMMG087) 4 Measurement and Geometry Shape (F-7) (ACMMG088) 4 Measurement and Geometry Location and (ACMMG090) transformation (F-7) 4 Measurement and Geometry Location and (ACMMG091) transformation (F-7) (ACMMG086) using division by 10 to FRACTION/ DECIMAL extend the place-value system using knowledge of fractions to establish equivalences between fractions and decimal notation Solve problems involving recognising that not all MONEY purchases and the countries use dollars and calculation of change to cents, eg India uses the nearest five cents rupees. with and without digital Carrying out calculations technologies in another currency as (ACMNA080) well as in dollars and cents, and identifying both as decimal systems Explore and describe identifying examples of ALGEBRA/PATTERNS number patterns resulting number patterns in from performing everyday life multiplication (ACMNA081) Solve word problems by representing a word ALGEBRA/PATTERNS using number sentences problem as a number involving multiplication or sentence division where there is no writing a word problem remainder (ACMNA082) using a given number sentence Use equivalent number reading and interpreting ALGEBRA/PATTERNS sentences involving the graduated scales on addition and subtraction a range of measuring to find unknown instruments to the nearest quantities (ACMNA083) graduation Use scaled instruments to reading and interpreting CAPACITY, LENGTH, measure and compare the graduated scales on MASS, TEMPERATURE lengths, masses, a range of measuring capacities and instruments to the nearest temperatures graduation (ACMMG084) Compare objects using comparing areas using AREA, VOLUME familiar metric units of grid paper area and volume comparing volume using (ACMMG290) centicubes Convert between units of identifying and using the TIME time (ACMMG085) correct operation for converting units of time Use am and pm notation calculating the time spent TIME and solve simple time at school during a problems (ACMMG086) normal school day calculating the time required to travel between two locations determining arrival time given departure time Compare the areas of comparing areas using SHAPE regular and irregular metric units, such as shapes by informal counting the number of means (ACMMG087) square centimetres required to cover two areas by overlaying the areas with a grid of centimetre squares Compare and describe identifying common two- SHAPE two dimensional shapes dimensional shapes that that result from are part of a composite combining and splitting shape by re-creating it common shapes, with and from these shapes without the use of digital creating a twotechnologies dimensional shapes from (ACMMG088) verbal or written instructions Use simple scales, identifying the scale SPACE/ LOCATION, legends and directions to used on maps of cities TRANSFORMATION interpret information and rural areas in contained in basic maps Australia and a city in (ACMMG090) Indonesia and describing the difference using directions to find features on a map Create symmetrical using stimulus materials SPACE/ LOCATION, patterns, pictures and such as the motifs in TRANSFORMATION shapes with and without Central Asian textiles, GENERAL CAPABILITIES CROSSCURRICULA PRIORITIES Asia and Australia’s engagement with Asia Critical and creative thinking , Literacy , Numeracy Critical and creative thinking , Literacy , Numeracy Critical and creative thinking , Literacy , Numeracy Literacy , Numeracy Numeracy Literacy , Numeracy Literacy , Numeracy Critical and creative thinking , ICT, Literacy , Numeracy Literacy , Numeracy Asia and Australia’s engagement with Asia Critical and Aboriginal creative thinking Torres Strait Is , ICT, Numeracy history and YR 4- MATHEMATICS YEAR MATHEMATICS LEVEL STRANDS MATH SUBSTRANDS ELEMENT CODE ELEMENT ELABORATION MATH LINKS digital technologies (ACMMG091) 4 Measurement and Geometry Geometric reasoning (310) (ACMMG089) 4 Statistics and Probability Chance (1-10) (ACMSP092) 4 Statistics and Probability Chance (1-10) (ACMSP093) 4 Statistics and Probability Chance (1-10) (ACMSP094) 4 Statistics and Probability Data (ACMSP095) representation / interpretation (F-10) 4 Statistics and Probability Data (ACMSP096) representation / interpretation (F-10) 4 Statistics and Probability Data (ACMSP097) representation / interpretation (F-10) Tibetan artefacts, Indian lotus designs and symmetry in Yolngu or Central and Western Desert art Compare angles and creating angles and ANGLES classify them as equal to, comparing them to a greater than or less than right angle using digital a right angle technologies (ACMMG089) Describe possible using lists of events CHANCE everyday events and familiar to students and order their chances of ordering them from ‘least occurring (ACMSP092) likely’ to ‘most likely’ to occur Identify everyday events using examples such as CHANCE where one cannot weather, which cannot happen if the other be dry and wet at the happens (ACMSP093) same time Identify events where the explaining why the CHANCE chance of one will not be probability of a new affected by the baby being either a boy occurrence of the other or a girl does not (ACMSP094) depend on the sex of the previous baby Select and trial methods comparing the DATA for data collection, effectiveness of different including survey questions methods of collecting and recording sheets data (ACMSP095) choosing the most effective way to collect data for a given investigation Construct suitable data exploring ways of DATA displays, with and presenting data and without the use of digital showing the results of technologies, from given investigations or collected data. Include investigating data tables, column graphs displays using many-toand picture graphs one correspondence where one picture can represent many data values (ACMSP096) Evaluate the interpreting data DATA effectiveness of different representations in the displays in illustrating media and other forums data features including in which symbols variability (ACMSP097) represent more than one data value suggesting questions that can be answered by a given data display and using the display to answer questions GENERAL CAPABILITIES Literacy , Numeracy Literacy , Numeracy Literacy , Numeracy Critical and creative thinking , Literacy , Numeracy Critical and creative thinking , Literacy , Numeracy Critical and creative thinking , ICT, Literacy , Numeracy Literacy , Numeracy CROSSCURRICULA PRIORITIES culture, Asia and Australia’s engagement with Asia