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)

Use estimation and rounding to check the reasonableness of answers to calculations (ACMNA099)

recognising the usefulness of estimation to check calculations

applying mental strategies to estimate the result of calculations, such as estimating the cost of a supermarket trolley load

Critical and creative thinking , Literacy , Numeracy

Number and Algebra

Number and place value (F-8)

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

Critical and creative thinking , ICT, Literacy , Numeracy

Number and Algebra

Number and place value (F-8)

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

Critical and creative thinking , ICT, Literacy , Numeracy

Number and Algebra

Number and place value (F-8)

Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291)

using calculators to check the reasonableness of answers

Number and Algebra

Fractions and Decimals (1-6)

Compare and order common unit fractions and locate and represent them on a number line (ACMNA102)

recognising the connection between the value of a unit fraction and its denominator

Critical and creative thinking , Numeracy

Number and Algebra

Fractions and Decimals (1-6)

Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103)

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

Critical and creative thinking , Numeracy

Number and Algebra

Fractions and Decimals (1-6)

Recognise that the number system can be extended beyond hundredths (ACMNA104)

using knowledge of place value and division by 10 to extend the number system to thousandths and beyond

recognising the equivalence of thousandths and 0.001

Numeracy

Number and Algebra

Fractions and Decimals (1-6)

Compare, order and represent decimals (ACMNA105)

locating decimals on a number line

recognising that the number of digits after the decimal place is not equivalent to the value of the fraction

Numeracy

Number and Algebra

Money and financial Maths (1-10)

Create simple financial plans (ACMNA106)

creating a simple budget for a class fundraising event

identifying the GST component of invoices and receipts

Critical and creative thinking , Numeracy

Number and Algebra

Patterns and algebra (F-10)

Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction (ACMNA107)

using the number line or diagrams to create patterns involving fractions or decimals

Critical and creative thinking , Literacy , Numeracy

Number and Algebra

Patterns and algebra (F-10)

Use equivalent number sentences involving multiplication and division to find unknown quantities (ACMNA121)

using relevant problems to develop number sentences

Critical and creative thinking , Literacy , Numeracy

Measurement and Geometry

Using units of measurement (F-10)

Choose appropriate units of measurement for length, area, volume, capacity and mass (ACMMG108)

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

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

Literacy , Numeracy

Asia and Australia’s engagement with Asia

Measurement and Geometry

Using units of measurement (F-10)

Calculate the perimeter and area of rectangles using familiar metric units (ACMMG109)

exploring efficient ways of calculating the perimeters of rectangles such as adding the length and width together and doubling the result 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

Measurement and Geometry

Using units of measurement (F-10)

Compare 12- and 24-hour time systems and convert between them (ACMMG110)

investigating the ways time was and is measured in different Aboriginal Country, such as using tidal change

using units hours, minutes and seconds

Numeracy

Aboriginal Torres Straight Is history and culture

Measurement and Geometry

Shape (F-7)

Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111)

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

representing two-dimensional shapes such as photographs, sketches and images created by digital technologies

Literacy , Numeracy

Measurement and Geometry

Location and transformation (F-7)

Use a grid reference system to describe locations. Describe routes using landmarks and directional language (ACMMG113)

comparing aerial views of Country, desert paintings and maps with grid references

creating a grid reference system for the classroom and using it to locate objects and describe routes from one object to another

Critical and creative thinking , Literacy , Numeracy

Aboriginal Torres Straight Is history and culture

Measurement and Geometry

Location and transformation (F-7)

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (ACMMG114)

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

identifying the effects of transformations by manually flipping, sliding and turning two-dimensional shapes and by using digital technologies

Critical and creative thinking , Numeracy

Measurement and Geometry

Location and transformation (F-7)

Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original (ACMMG115)

using digital technologies to enlarge shapes

using a grid system to enlarge a favourite image or cartoon

Critical and creative thinking , Numeracy

Measurement and Geometry

Geometric reasoning (3-10)

Estimate, measure and compare angles using degrees. Construct angles using a protractor (ACMMG112)

measuring and constructing angles using both 180° and 360° protractors

Critical and creative thinking , Numeracy

Statistics and Probability

Chance (1-10)

List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116)

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)

Critical and creative thinking , Literacy , Numeracy

Asia and Australia’s engagement with Asia

Statistics and Probability

Chance (1-10)

Recognise that probabilities range from 0 to 1 (ACMSP117)

investigating the probabilities of all outcomes for a simple chance experiment and verifying that their sum equals 1

Literacy , Numeracy

Statistics and Probability

Data representation / interpretation (F-10)

Pose questions and collect categorical or numerical data by observation or survey (ACMSP118)

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

Literacy , Numeracy

Sustainability

Statistics and Probability

Data representation / interpretation (F-10)

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

Critical and creative thinking , ICT, Literacy , Numeracy

Statistics and Probability

Data representation / interpretation (F-10)

Describe and interpret different data sets in context (ACMSP120)

using and comparing data representations for different data sets to help decision making, such as choosing the best mobile phone plan

Critical and creative thinking , Literacy , Numeracy

## YEAR 5 MATHS

MATHEMATICS STRANDSMATH SUB-STRANDSELEMENTELABORATIONGENERAL CAPABILITIESCROSS-CURRICULA PRIORITIESexploring 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