
4Year 4 Standards
Top Mathematicians

Statistics & Probability

4.SP.1.1
Chance
• Describe possible everyday events and order their chances of occurring
 using lists of events familiar to students and ordering them from 'least likely' to 'most likely' to occur
• Identify everyday events where one cannot happen if the other happens
 using examples such as weather, which cannot be dry and wet at the same time
• Identify events where the chance of one will not be affected by the occurrence of the other
 explaining why the probability of a new baby being either a boy or a girl does not depend on the sex of the previous baby 
4.SP.1.2
Data representation and interpretation
• Select and trial methods for data collection, including survey questions and recording sheets
 comparing the effectiveness of different methods of collecting data
 choosing the most effective way to collect data for a given investigation
• 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
 exploring ways of presenting data and showing the results of investigations
 investigating data displays using manytoone correspondence
• Evaluate the effectiveness of different displays in illustrating data features including variability
 interpreting data representations in the media and other forums in which symbols represent more than one data value
 suggesting questions that can be answered by a given data display and using the display to answer questions 

4.765

4.775

4.785

4.795

4.805

4.8120

4.825

4.835

4.8420


4.SP.1.1

Number and Algebra

4.OA.1.1
Number and place value
• Investigate and use the properties of odd and even numbers
 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
• Recognise, represent and order numbers to at least tens of thousands
 reproducing fivedigit numbers in words using their numerical representations, and vice versa
• Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
 recognising and demonstrating that the placevalue pattern is built on the operations of multiplication or division of tens
• Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9
 recognising that number sequences can be extended indefinitely, and determining any patterns in the sequences
• Recall multiplication facts up to 10 ï¿½ 10 and related division facts
 using known multiplication facts to calculate related division facts
• Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
 using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder 

4.110

4.210

4.425

4.515

4.620

4.75

4.820

4.920

4.1020

4.1165

4.1220

4.1320

4.1415

4.1520

4.1615

4.1715

4.1815

4.1915

4.2015

4.2120

4.2220

4.2315

4.2420

4.2515

4.2620

4.2715

4.2815

4.2915

4.3020

4.3120

4.3220

4.3320

4.3420

4.3520


4.OA.1.2
Fractions and decimals
• Investigate equivalent fractions used in contexts
 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
• Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line
 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
• Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation
 using division by 10 to extend the placevalue system
 using knowledge of fractions to establish equivalences between fractions and decimal notation 

4.3615

4.3715

4.3820

4.3920

4.4010

4.4120

4.4320

4.445

4.4510

4.4610

4.4710

4.4815


4.OA.1.3
Money and financial mathematics
• Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies
 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 

4.495

4.5015

4.5115

4.5220

4.5315


4.OA.1.4
Patterns and algebra
• Explore and describe number patterns resulting from performing multiplication
 identifying examples of number patterns in everyday life
• Solve word problems by using number sentences involving multiplication or division where there is no remainder
 representing a word problem as a number sentence
 writing a word problem using a given number sentence
• Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction
 writing number sentences to represent and answer questions such as: 'When a number is added to 23 the answer is the same as 57 minus 19. What is the number?'
• using partitioning to find unknown quantities in number sentences 

4.75

4.820

4.1320

4.2420

4.2515

4.5415

4.5520

4.5610


4.OA.1.1

Measurement and Geometry

4.MD.1.1
Using units of measurement
• Use scaled instruments to measure and compare lengths, masses, capacities and temperatures
 reading and interpreting the graduated scales on a range of measuring instruments to the nearest graduation
• Compare objects using familiar metric units of area and volume
 comparing areas using grid paper
 comparing volume using centicubes
 recognising that metric units are not the only units used throughout the world, for example measuring the area of floor space using tatami mats (Japan), using squares for room and house area (Australia)
• Convert between units of time
 identifying and using the correct operation for converting units of time
• Use 'am' and 'pm' notation and solve simple time problems
 calculating the time spent at school during a normal school day
 calculating the time required to travel between two locations
 determining arrival time given departure time 

4.5715

4.5815

4.5915

4.605

4.615

4.625

4.635

4.645

4.6520

4.6620

4.675


4.MD.1.2
Shape
• Compare the areas of regular and irregular shapes by informal means
 comparing areas using metric units, such as counting the number of square centimetres required to cover two areas by overlaying the areas with a grid of centimetre squares
• Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies
 identifying common twodimensional shapes that are part of a composite shape by recreating it from these shapes
 creating a twodimensional shapes from verbal or written instructions 

4.5715

4.5815

4.6815

4.695


4.MD.1.3
Location and transformation
• Use simple scales, legends and directions to interpret information contained in basic maps
 identifying the scale used on maps of cities and rural areas in Australia and a city in Indonesia and describing the difference
 using directions to find features on a map
• Create symmetrical patterns, pictures and shapes with and without digital technologies
 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 

4.7015

4.715

4.725


4.MD.1.4
Geometric reasoning
• Compare angles and classify them as equal to, greater than, or less than, a right angle
 creating angles and comparing them to a right angle using digital technologies

4.MD.1.1