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• VCMMG368

  Use the unit circle to define trigonometric functions as functions of a real variable, and graph them with and without the use of digital technologies

  Elaborations

  • establishing the symmetrical properties of trigonometric functions
  • investigating angles of any magnitude
  • understanding that trigonometric functions are periodic and that this can be used to describe motion
  • identifying points on the unit circle via arc lengths in radians, which correspond to specified values of the circular functions sine, cosine and tangent

  VCMMG368 | Mathematics | Level 10A | Measurement and Geometry | Pythagoras and trigonometry

• VCMNA311

  Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations

  Elaborations

  • graphing parabolas, and circles connecting x-intercepts of a graph to a related equation

  VCMNA311 | Mathematics | Level 9 | Number and Algebra | Linear and non-linear relationships

• VCMNA309

  Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software

  Elaborations

  • investigating graphical and algebraic techniques for finding midpoint and gradient
  • recognising that the gradient of a line is the same as the gradient of any line segment on that line

  VCMNA309 | Mathematics | Level 9 | Number and Algebra | Linear and non-linear relationships

• VCMNA308

  Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing software

  Elaborations

  • investigating graphical and algebraic techniques for finding distance between two points
  • using Pythagoras' theorem to calculate distance between two points

  VCMNA308 | Mathematics | Level 9 | Number and Algebra | Linear and non-linear relationships

• VCMNA301

  Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems

  Elaborations

  • identifying direct proportion in real-life contexts

  VCMNA301 | Mathematics | Level 9 | Number and Algebra | Real numbers

• VCMSP235

  Construct, interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables

  Elaborations

  • comparing different student-generated diagrams, tables and graphs, describing their similarities and differences and commenting on the usefulness of each representation for interpreting the data
  • understanding that data can be represented in different ways, sometimes with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgments

  VCMSP235 | Mathematics | Level 6 | Statistics and Probability | Data representation and interpretation

• VCMSP206

  Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies

  Elaborations

  • identifying the best methods of presenting data to illustrate the results of investigations and justifying the choice of representations

  VCMSP206 | Mathematics | Level 5 | Statistics and Probability | Data representation and interpretation

• VC2M5ST02

  interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be made

  Elaborations

  • reading and interpreting different line graphs, discussing how the horizontal axis represents measures of time such as days of the week or times of the day, and the vertical axis represents numerical quantities or ordinal categorical variables such as percentages, money, measurements or ratings such as fire hazard ratings
  • interpreting real-life data represented as a line graph showing how measurements change over a period of time, and make simple inferences
  • matching unlabelled line graphs to the context they represent based on the stories of the different contexts
  • interpreting the data represented in a line graph, making inferences; for example, reading line graphs that show the varying temperatures or ultraviolet (UV) rates over a period of a day and discussing when would be the best time to hold an outdoor assembly

  VC2M5ST02 | Mathematics | Mathematics Version 2.0 | Level 5 | Statistics

• VCSIS085

  Construct and use a range of representations, including tables and graphs, to record, represent and describe observations, patterns or relationships in data

  Elaborations

  • using familiar units such as grams, seconds and metres and developing the use of standard multipliers such as kilometres and millimetres
  • using digital technologies to record data as digital images or in spreadsheets and to present data in tables and simple graphs
  • using digital technologies to construct representations, including dynamic representations

  VCSIS085 | Science | Levels 5 and 6 | Science Inquiry Skills | Recording and processing

• VCSIS069

  Use a range of methods including tables and column graphs to represent data and to identify patterns and trends

  Elaborations

  • using provided tables to organise materials and objects based on observable properties
  • discussing with teacher guidance which graphic organisers will be most useful in sorting or organising data arising from investigations
  • discussing how to graph data presented in a table
  • identifying and discussing numerical and visual patterns in data collected from students' investigations and from other sources

  VCSIS069 | Science | Levels 3 and 4 | Science Inquiry Skills | Recording and processing

• The Humanities | Geography: Rationale and Aims

  Rationale

  The Geography curriculum presents a structured way of exploring, analysing and understanding the characteristics of the places that make up our world, using the concepts of place, space, environment, interconnection, sustainability, scale and change. It addresses scales from the personal...

  Overview material | Geography

• Mathematics: Level 2 achievement standards

  Number and Algebra

  Students count to and from, and order numbers up to 1000. They perform simple addition and subtraction calculations, using a range of strategies. They find the total value of simple collections of Australian notes and coins. Students represent multiplication and division by grouping...

  Level description | Mathematics | Level 2

• Mathematics | Mathematics: Rationale and Aims

  Rationale

  Mathematics provides students with access to important mathematical ideas, knowledge and skills that they will draw on in their personal and work lives. The curriculum also provides students, as life-long learners, with the basis on which further study and research in mathematics and...

  Overview material | Mathematics

• Languages | Auslan: Structure

  Sequences of learning

  The Auslan curriculum takes account of different entry points into language learning across F–10, which reflects current practice in language teaching.

  There are two possible learning sequences:

  • F–10 sequence for students who begin to learn the language in primary...

  Overview material | Auslan

• Languages | French: Learning in French

  French language learning

  French is an Indo-European language and belongs to the family of Romance languages derived from the spoken Latin language of the Roman Empire. It is closely related to English, due to the shared influence of Latin and to the fact that French was the official language of...

  Overview material | French

• VCELA340

  Identify and explain how analytical images like figures, tables, diagrams, maps and graphs contribute to our understanding of verbal information in factual and persuasive texts

  Elaborations

  • observing how sequential events can be represented visually by a series of images, including comic strips, timelines, photo stories, procedure diagrams and flowcharts, life-cycle diagrams, and the flow of images in picture books
  • observing how concepts, information and relationships can be represented visually through such images as tables, maps, graphs, diagrams, and icons

  VCELA340 | Curriculum content | English | Level 6 | Reading and Viewing | Language

• VCZHC052

  Locate, classify and organise relevant information, including analysing data in simple diagrams, tables and graphs, and re-present this information for known audiences

  Elaborations

  • comparing travel brochures to identify places of interest, public transport information and activities
  • recognising the word/phrase boundaries in 我们学校/有/二百八十七个学生 and applying knowledge of Chinese information-sequencing rules, for example, using the knowledge that Chinese speakers organise information from most general to most specific in order to locate details in a Chinese address
  • identifying the common organising categories in tables or graphs, for example, deducing that 国籍 means ‘nationality’ by determining the meanings of 中国，澳大利亚 etc. in a table column

  VCZHC052 | Languages | Chinese | Second Language Learner | F–10 Sequence | Levels 7 and 8 | Communicating | Informing

• VCZHC084

  Locate factual information about life in other communities and about aspects of Australian life, including data from graphs and tables, and convey this information to known audiences

  Elaborations

  • locating and identifying key information in written texts such as timetables, calendars, brochures and advertisements, recognising familiar features of texts and organisation of content, and the word/phrase boundaries in sentences such as 我们学校/有/二百八十七/个/学生/
  • identifying the categories used to organise graphs and tables by considering common themes across examples listed, for example, deducing that the heading 国籍 means ‘nationality’ by determining the meanings of 中国，澳大利亚 in a table column
  • reading familiar text types such as shopping brochures, understanding particular phrases such as 八折, and working out the final price, with the support of online dictionaries and word lists
  • recognising markers of time (for example, 第二天) in a sequence of events to monitor information flow and assist reading for overall meaning
  • presenting information in alternative formats to suit different purposes and the needs of the reader, for example, creating graphs or tables to categorise information when contrasting 澳大利亚和中国的地理

  VCZHC084 | Languages | Chinese | Second Language Learner | 7–10 Sequence | Levels 7 and 8 | Communicating | Informing

• VC2M10AM02

  explore the effect of increasingly small changes in the value of variables on the average rate of change and in relation to limiting values

  Elaborations

  • using the gradient of the line segment between 2 distinct points as a measure of rate of change to obtain numerical approximations to instantaneous speed and interpreting ‘tell me a story’ piecewise linear position-time graphs

  VC2M10AM02 | Mathematics | Mathematics Version 2.0 | Level 10A | Measurement

• Auslan - Second Language Learner - F–10 Sequence: Foundation to Level 2 achievement standards

  By the end of Level 2, students interact with teachers and each other to talk about themselves, their families, friends and immediate environment. They follow instructions to complete action-based activities such as signing games or transactional activities, using repeated constructions, gestures...

  Level description | Languages | Auslan | Second Language Learner | F–10 Sequence | Foundation to Level 2