Level 3 - Victorian Curriculum

View

Mathematics Version 2.0

Mathematics Version 2.0 Level Description

In Level 3, learning in Mathematics builds on each student’s prior learning and experiences. Students engage in a range of approaches to the learning and doing of mathematics that develop their understanding of and fluency with concepts, procedures and processes by making connections, reasoning, problem-solving and practice. Proficiency in mathematics enables students to respond...

Students further develop proficiency and positive dispositions towards mathematics and its use as they:

become increasingly aware of the usefulness of mathematics to model situations and solve practical problems
recognise that mathematics has conventions and language enabling the unambiguous communication of ideas and results
experience the power of being able to manipulate numbers using a range of strategies that are based on proficiency with single-digit addition facts and their understanding of place value in the base-10 number system, partitioning and regrouping
begin to apply their understanding of algorithms and technology to experiment with numbers and recognise patterns
develop, extend and apply their addition and multiplication facts and related facts for subtraction and division through recognising connections between operations, and develop automaticity for 3, 4, 5 and 10 multiplication facts through games and meaningful practice
learn to formulate, choose and use calculation strategies, communicating their solutions within a modelling context
use metric units to measure and compare objects and events
recognise the relationship between dollars and cents and learn to represent money values in different ways, including virtual money
determine key features of objects and spaces, and use these when they build models and spatial representations
undertake, with guidance, statistical investigations that are meaningful to them, making decisions about their use and representation of categorical and discrete numerical data, and reporting findings
develop a qualitative understanding of chance and use the language of chance to describe and compare the outcomes of familiar chance events
become increasingly able to understand that different outcomes can be the results of random processes.

Show less

Mathematics Version 2.0 Content Descriptions

Number

identify, explain and use the properties of odd and even numbers (VC2M3N01)
recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000 (VC2M3N02)
recognise and represent unit fractions including $\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{1}{4}$ , $\frac{1}{5}$ and $\frac{1}{10}$ and their multiples in different ways; combine fractions with the same denominator to complete the whole (VC2M3N03)
add and subtract two- and three-digit numbers using place value to partition, rearrange and regroup numbers to assist in calculations without a calculator (VC2M3N04)
multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies (VC2M3N05)
estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculations (VC2M3N06)
recognise the relationships between dollars and cents and represent money values in different ways (VC2M3N07)
use mathematical modelling to solve practical problems involving additive and multiplicative situations, including financial contexts; formulate problems using number sentences and choose calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation (VC2M3N08)
follow and create algorithms involving a sequence of steps and decisions to investigate numbers; describe any emerging patterns (VC2M3N09)

Algebra

recognise and explain the connection between addition and subtraction as inverse operations, apply to partition numbers and find unknown values in number sentences (VC2M3A01)
extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator (VC2M3A02)
recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts (VC2M3A03)

Measurement

identify which metric units are used to measure everyday items; use measurements of familiar items and known units to make estimates (VC2M3M01)
measure and compare objects using familiar metric units of length, mass and capacity, and instruments with labelled markings (VC2M3M02)
recognise and use the relationship between formal units of time, including days, hours, minutes and seconds, to estimate and compare the duration of events (VC2M3M03)
describe the relationship between the hours and minutes on analog and digital clocks, and read the time to the nearest minute (VC2M3M04)
identify angles as measures of turn and use right angles as a reference to compare angles in everyday situations (VC2M3M05)

Space

make, compare and classify objects, identifying key features and explaining why these features make them suited to their uses (VC2M3SP01)
interpret and create two-dimensional representations of familiar environments, locating key landmarks and objects relative to each other (VC2M3SP02)

Statistics

acquire data for categorical and discrete numerical variables to address a question of interest or purpose by observing, collecting and accessing data sets; record the data using appropriate methods, including frequency tables and spreadsheets (VC2M3ST01)
create and compare different graphical representations of data sets, including using software where appropriate; interpret the data in terms of the context (VC2M3ST02)
conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest (VC2M3ST03)

Probability

identify practical activities and everyday events that involve chance, and describe possible outcomes and events as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’, explaining reasoning (VC2M3P01)
conduct repeated chance experiments; identify and describe possible outcomes, record the results, and recognise and discuss the variation (VC2M3P02)

Mathematics Version 2.0 Achievement Standard

By the end of Level 3, students order and represent natural numbers beyond 10 000, classify numbers as either odd or even, and use the properties of odd and even numbers. They partition, rearrange and regroup two- and three-digit numbers in different ways to assist in calculations. Students extend and use single-digit addition and related subtraction facts and apply additive strategies to model and solve problems involving two- and three-digit numbers. They use a range of strategies to apply mathematical modelling to solve practical problems involving single-digit multiplication and division, recalling multiplication facts for twos, threes, fours, fives and tens. Students represent unit fractions and their multiples in different ways. They make estimates and determine the reasonableness of financial and other calculations.

Students find unknown values in number sentences involving addition and subtraction. They create algorithms to investigate numbers and explore simple patterns.

Students use familiar metric units when estimating, comparing and measuring the attributes of objects and events. They identify angles as measures of turn and compare them to right angles. Students estimate and compare measures of duration using formal units of time. They represent money values in different ways.

Students make, compare and classify objects using key features. They interpret and create two-dimensional representations of familiar environments.

Students conduct guided statistical investigations involving categorical and discrete numerical data and interpret their results in terms of the context. They record, represent and compare data they have collected.

Students use practical activities, observation or experiment to identify and describe outcomes and the likelihood of everyday events explaining reasoning. Students conduct repeated chance experiments and discuss variation in results.