Search results

Result list

• VCMMG098

  Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features

  Elaborations

  • focusing on geometric features and describing shapes and objects using everyday words such as 'corners', 'edges' and 'faces'

  VCMMG098 | Mathematics | Level 1 | Measurement and Geometry | Shape

• VC2M9M01

  solve problems involving the volume and surface area of right prisms, cylinders and composite objects using appropriate units

  Elaborations

  • analysing nets of objects to generate short cuts and establish formulas for surface area 
  • determining the amount of material needed to make can-coolers for a class fundraising project and working out the most cost-efficient way to cut out the pieces
  • finding different prisms that have the same volume but different surface areas, making conjectures as to what type of prism would have the smallest or largest surface area
  • investigating objects and technologies of Aboriginal and Torres Strait Islander Peoples, analysing and connecting surface area and volume, and exploring their relationship to their capacity

  VC2M9M01 | Mathematics | Mathematics Version 2.0 | Level 9 | Measurement

• VCMMG118

  Name and order months and seasons

  Elaborations

  • investigating the seasons used by Aboriginal people, comparing them to those used in Western society and recognising the connection to weather patterns.

  VCMMG118 | Mathematics | Level 2 | Measurement and Geometry | Using units of measurement

• VCMNA220

  Explore the use of brackets and order of operations to write number sentences

  Elaborations

  • appreciating the need for rules to complete multiple operations within the same number sentence

  VCMNA220 | Mathematics | Level 6 | Number and Algebra | Patterns and algebra

• VC2M10ST01

  compare data distributions for continuous numerical variables using quartiles and interquartile range and appropriate data displays including boxplots, histograms and dot plots; discuss the shapes of these distributions in terms of centre, spread, shape and outliers in the context of the data

  Elaborations

  • finding the five-number summary (minimum and maximum values, median and upper and lower quartiles) and using its graphical representation, the boxplot, as tools for both numerically and visually comparing the centre and spread of data sets
  • exploring the effect of varying data values, including outliers, on the interquartile range for different sets of data
  • constructing and interpreting boxplots and using them to compare data sets, understanding that boxplots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
  • comparing shapes of distributions using boxplots, histograms, cumulative frequency graphs and dot plots, discussing symmetry, skew and modality
  • using digital tools to compare boxplots and histograms as displays of the same data in the light of the statistical questions being addressed and the effectiveness of the display in helping to answer the question
  • comparing the information that can be extracted and the stories that can be told about continuous and discrete numerical data sets that have been displayed in different ways, including histograms, dot plots, boxplots and cumulative frequency graphs

  VC2M10ST01 | Mathematics | Mathematics Version 2.0 | Level 10 | Statistics

• VC2M3ST03

  conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest

  Elaborations

  • creating a poster, flow chart or infographic that describes the process of statistical investigation, and the components, tools and types of data that can be collected, represented and interpreted for a purpose
  • collaboratively working through a whole-class investigation by choosing a question of interest, using an efficient collection method and recording collected data, and then interpreting the data in terms of the question
  • planning and carrying out investigations that involve collecting data; for example, narrowing the focus of a question such as ‘Which is the most popular breakfast cereal?’ to ‘Which is the most popular breakfast cereal among Year 3 students in our class?’
  • conducting a whole-class statistical investigation into the best day to hold an open day for parents by creating a simple survey, collecting the data by asking the parents, representing and interpreting the results, and deciding as a class which day would be best
  • investigating seasonal calendars of Aboriginal and/or Torres Strait Islander Peoples by collecting data and creating frequency tables and spreadsheets based on environmental indicators, and creating one-to-one data displays about frequency of environmental indicators for the current season

  VC2M3ST03 | Mathematics | Mathematics Version 2.0 | Level 3 | Statistics

• VC2M4ST03

  conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results

  Elaborations

  • creating a survey to collect class responses to a preferred movie choice, and recording data responses using spreadsheets; graphing data using a column graph or other appropriate representations; and interpreting the results of the survey and reporting findings back to the class
  • conducting a statistical investigation and acquiring data from different online sources; for example, using online query interfaces to select and retrieve data from an online database such as weather records, data frequency mapping software such as Google Trends, or the World Health Organization
  • investigating different contexts in which statistical investigations can take place and the types of questions to ask to collect data relevant to the context; for example, investigating supermarket customer complaints that breakfast cereals with the most sugar are positioned at children’s eye level, discussing what questions they would need to ask and answer

  VC2M4ST03 | Mathematics | Mathematics Version 2.0 | Level 4 | Statistics

• Mathematics: Level 9 achievement standards

  Number and Algebra

  Students apply the index laws using integer indices to variables and numbers, express numbers in scientific notation, solve problems involving very small and very large numbers, and check the order of magnitude of calculations. They solve problems involving simple interest. Students...

  Level description | Mathematics | Level 9

• VC2M8A03

  use mathematical modelling to solve applied problems involving linear relations, including financial contexts involving profit and loss; formulate problems with linear functions, and choose a representation; interpret and communicate solutions in terms of the context, and review the appropriateness...

  Elaborations

  • modelling situations involving linear functions, including practical contexts such as taxi fares involving flag fall fees, motion in a straight line at a constant speed, trade quotes involving call-out fees, cooking that includes resting or cooling times, or water leakage from water tanks, interpreting the constant rate of change and initial value in context, and identifying when values of a model lie within a given range
  • modelling problems in practical situations and interpreting solutions within the context of the problem, including giving attention to all units of measure and whether results are suitable; for example, once a water tank is empty no more water can flow from it
  • modelling financial problems involving pay rates, using a table of values to represent the pay amounts and hours worked using an hourly rate of pay, and graphing the relationship to make inferences
  • modelling patterns on Country/Place and exploring their connections and meaning to linear equations, using the model as a predictive tool and critiquing results by connecting back to Country/Place

  VC2M8A03 | Mathematics | Mathematics Version 2.0 | Level 8 | Algebra

• VC2M10SP02

  interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness

  Elaborations

  • investigating how networks and network diagrams can be used to model authentic situations, recognising what real-world quantity is represented by the nodes (vertices), and what real-world quantity is represented by the links between them (edges)
  • investigating the use of graphs to represent a network, for example, investigating the Seven Bridges of Königsberg problem
  • investigating how polyhedrons may be represented as a network using edges, vertices, and interior and exterior faces; and representing the number of edges, vertices and faces in a table, exploring and demonstrating how Euler’s formula F + V = E + 2 applies
  • investigating how a social network, intranet, local area network (LAN), electrical wiring or wireless network of a home can be represented as a network diagram to specify relationships; for example, using network diagrams to investigate practical problems involving connections, power overload or the need for routers
  • investigating the use of networks to represent authentic situations, for example, rail or air travel between or within London, Paris and Hong Kong; a food web representing a simple ecosystem; metabolic networks and other chemical or biological structures
  • representing Aboriginal and Torres Strait Islander Peoples’ kinship systems using network diagrams and exploring the significance of relationships to Country/Place

  VC2M10SP02 | Mathematics | Mathematics Version 2.0 | Level 10 | Space

• VCMSP148

  Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording

  Elaborations

  • refining questions and planning investigations that involve collecting data, and carrying out the investigation. For example narrowing the focus of a question such as ‘which is the most popular breakfast cereal?’ to ‘which is the most popular breakfast cereal among students in our class?’

  VCMSP148 | Mathematics | Level 3 | Statistics and Probability | Data representation and interpretation

• VCMNA342

  Solve equations using systematic guess-check-and-refine with digital technology

  Elaborations

  • refining intervals on graphs and/or in tables of values to determine with increasing accuracy when the values of two functions are approximately equal

  VCMNA342 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• Mathematics Version 2.0: Level 9 description

  In Level 9, 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...

  Level description | Mathematics | Mathematics Version 2.0

• VC2M3N02

  recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000

  Elaborations

  • moving materials from one place to another on a place value model to show renaming of numbers (for example, 1574 can be shown as one thousand, 5 hundreds, 7 tens and 4 ones, or as 15 hundreds, 7 tens and 4 ones)
  • using the repeating pattern of place value names and spaces within sets of 3 digits to name and write larger numbers: ones, tens, hundreds, ones of thousands, tens of thousands, hundreds of thousands, ones of millions, tens of millions; for example, writing four hundred and twenty-five thousand as 425 000
  • predicting and naming the number that is one more than 99, 109, 199, 1009, 1099, 1999, 10 009 … 99 999 and discussing what will change when one, one ten and one hundred is added to each
  • comparing the Hindu-Arabic numeral system to other numeral systems; for example, investigating the Japanese numeral system, 一、十、百、千、万
  • comparing, reading and writing the numbers involved in more than 60 000 years of Aboriginal and Torres Strait Islander Peoples’ presence on the Australian continent through timescales relating to pre-colonisation and post-colonisation

  VC2M3N02 | Mathematics | Mathematics Version 2.0 | Level 3 | Number

• VC2M2N06

  use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the context

  Elaborations

  • modelling practical problems by interpreting an everyday additive or multiplicative situation; for example, making a number of purchases at a store and deciding whether to use addition, subtraction, multiplication or division to solve the problem and justifying the choice of operation, such as ‘I used subtraction to solve this problem as I knew the total and one of the parts, so I needed to subtract to find the missing part’
  • modelling and solving simple money problems involving whole dollar amounts with addition, subtraction, multiplication or division, for example, ‘If each member of our class contributes $5, how much money will we have in total?’
  • modelling and solving practical problems such as deciding how many people should be in each team for a game or sports event, how many teams for a given game can be filled from a class, or how to share out some food or distribute money in whole dollar amounts, including deciding what to do if there is a remainder
  • modelling and solving the problem ‘How many days are there left in this year?’ by using a calendar
  • modelling problems involving equal grouping and sharing in Aboriginal and/or Torres Strait Islander children’s instructive games; for example, in Yangamini from the Tiwi Peoples of Bathurst Island, representing relationships with a number sentence and interpreting and communicating solutions in terms of the context

  VC2M2N06 | Mathematics | Mathematics Version 2.0 | Level 2 | Number

• VC2M3N09

  follow and create algorithms involving a sequence of steps and decisions to investigate numbers; describe any emerging patterns

  Elaborations

  • following or creating an algorithm to generate number patterns formed by doubling and halving using technology to assist, where appropriate, and identifying and describing emerging patterns
  • following or creating an algorithm that determines whether a given number is a multiple of 2, 5 or 10, identifying and discussing emerging patterns
  • creating an algorithm as a set of instructions that a classmate can follow to generate multiples of 3 using the rule ‘To multiply by 3 you double the number and add on one more of the number’ (for example, for 3 threes, you double 3 and add on 3 to get 9; for 3 fours you double 4 and add one more 4 to get 12 …)
  • creating a sorting algorithm that will sort a collection of 5-cent and 10-cent coins and providing the total value of the collection by applying knowledge of multiples of 5 and 10

  VC2M3N09 | Mathematics | Mathematics Version 2.0 | Level 3 | Number

• Mathematics | Mathematics: Scope and Sequence

  The curriculum sets out what students are expected to learn and is designed as a continuum of learning. The curriculum is being presented in a scope and sequence chart to support teachers to easily see the progression and assist in planning teaching and learning programs to meet the diverse...

  Overview material | Mathematics

• Mathematics: Level 1 achievement standards

  Number and Algebra

  Students count to and from 100 and locate these numbers on a number line. They partition numbers using place value and carry out simple additions and subtractions, using counting strategies. Students recognise Australian coins according to their value. They identify representations...

  Level description | Mathematics | Level 1

• Mathematics: Level 1 description

  In Level 1, students use mathematical symbols and language as well as materials and drawings in their mathematical explorations of daily life.

  Students recognise, represent and order numbers to at least 100 using materials, diagrams, words, numerals and a number line, and apply this with respect...

  Level description | Mathematics

• Mathematics Version 2.0: Level 7 achievement standards

  By the end of Level 7, students represent natural numbers in expanded form and as products of prime factors, using exponent notation. They solve problems involving squares of numbers and square roots of perfect square numbers. Students solve problems involving addition and subtraction...

  Level description | Mathematics | Mathematics Version 2.0 | Level 7