
5Year 5 Standards
Top Mathematicians

Statistics & Probability

5.SP.1.1
Chance
• List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
 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 jankenpon (rockpaperscissors)
• Recognise that probabilities range from 0 to 1
 investigating the probabilities of all outcomes for a simple chance experiment and verifying that their sum equals 1 

5.805

5.815

5.8210


5.SP.1.2
Data representation and interpretation
• Pose questions and collect categorical or numerical data by observation or survey
 posing questions about insect diversity in the playground, collecting data by taping a onemetresquare piece of paper to the playground and observing the type and number of insects on it over time
• Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
 identifying the best methods of presenting data to illustrate the results of investigations and justifying the choice of representations
• Describe and interpret different data sets in context
 using and comparing data representations for different data sets to help decision making 

5.835

5.845

5.855

5.865

5.875

5.885

5.895

5.905

5.915

5.925

5.9320

5.9420

5.955

5.965

5.975

5.985

5.995


5.SP.1.1

Measurement and Geometry

5.MD.1.1
Using units of measurement
• Choose appropriate units of measurement for length, area, volume, capacity and mass
 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
• Calculate perimeter and area of rectangles using familiar metric units
 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
• Compare 12 and 24hour time systems and convert between them
 investigating the ways time was and is measured in different Aboriginal Country, such as using tidal change
 using units hours, minutes and seconds 

5.635

5.645

5.6515

5.6615


5.MD.1.2
Shape
• Connect threedimensional objects with their nets and other twodimensional representations
 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 twodimensional shapes such as photographs, sketches and images created by digital technologies 

5.675

5.685


5.MD.1.3
Location and transformation
• Use a grid reference system to describe locations. Describe routes using landmarks and directional language
 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
• Describe translations, reflections and rotations of twodimensional shapes. Identify line and rotational symmetries
 identifying and describing the line and rotational symmetry of a range of twodimensional shapes, by manually cutting, folding and turning shapes and by using digital technologies
 identifying the effects of transformations by manually flipping, sliding and turning twodimensional shapes and by using digital technologies
• Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original
 using digital technologies to enlarge shapes
 using a grid system to enlarge a favourite image or cartoon 

5.6915

5.7010

5.7110

5.725

5.7310

5.745

5.755

5.765


5.MD.1.4
Geometric reasoning
• Estimate, measure and compare angles using degrees. Construct angles using a protractor
 measuring and constructing angles using both 180ï¿½ and 360ï¿½ protractors
 recognising that angles have arms and a vertex, and that size is the amount of turn required for one arm to coincide with the other 

5.7710

5.785

5.795


5.MD.1.1

Number and Algebra

5.OA.1.1
Number and place value
• Identify and describe factors and multiples of whole numbers and use them to solve problems
 exploring factors and multiples using number sequences
 using simple divisibility tests
• Use estimation and rounding to check the reasonableness of answers to calculations
 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
• Solve problems involving multiplication of large numbers by one or twodigit numbers using efficient mental, written strategies and appropriate digital technologies
 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
• Solve problems involving division by a one digit number, including those that result in a remainder
 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
• Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
 using calculators to check the reasonableness of answers 

5.120

5.215

5.320

5.420

5.520

5.620

5.720

5.815

5.915

5.1020

5.1120

5.1220

5.1320

5.1420

5.1520

5.1620

5.1720

5.1815

5.1920

5.205

5.2120

5.2215

5.2320

5.2415

5.2510

5.2620

5.2720

5.2820

5.2920

5.3020

5.3120

5.3215

5.3315

5.3420

5.3525

5.365

5.375

5.3820

5.3915

5.4020

5.4120

5.425


5.OA.1.2
Fractions and decimals
• Compare and order common unit fractions and locate and represent them on a number line
 recognising the connection between the order of unit fractions and their denominators
• Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
 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
• Recognise that the place value system can be extended beyond hundredths
 using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
 recognising the equivalence of one thousandths and 0.001
• Compare, order and represent decimals
 locating decimals on a number line 

5.4320

5.4415

5.4520

5.4620

5.4720

5.4820

5.4915

5.5020

5.5115

5.525

5.5310

5.5410

5.5510

5.5615

5.5715

5.5815

5.5915


5.OA.1.3
Money and financial mathematics
• Create simple financial plans
 creating a simple budget for a class fundraising event
 identifying the GST component of invoices and receipts 

5.OA.1.4
Patterns and algebra
• Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
 using the number line or diagrams to create patterns involving fractions or decimals
• Find unknown quantities in number sentences involving multiplication and division and identify equivalent number sentences involving multiplication and division
 using relevant problems to develop number sentences

5.OA.1.1