Search results

Result list

• 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

• 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

• VC2M10A16

  solve equations graphically or using systematic numerical guess-check-and-refine with digital tools, with consideration of whether all solutions have been found

  Elaborations

  • refining intervals on graphs and/or in tables of values to determine with increasing accuracy when the values of 2 functions are approximately equal
  • applying the graphing zoom functionality of digital tools and systematically refining intervals to identify approximate location of points of intersection of the graphs of 2 functions, such as x2=2x

  VC2M10A16 | Mathematics | Mathematics Version 2.0 | Level 10 | Algebra

• VCGGC075

  Represent data and the location of places and their characteristics by constructing tables and simple graphs and maps of appropriate scale that conform to cartographic conventions of border, scale, legend, title and north point

  Elaborations

  • creating tables or picture and column graphs to show patterns in data collected from observations or other sources about the similarities and differences between places
  • using maps of vegetation for Australia, Africa and South America to compare the most common types of vegetation in each continents
  • making a plan of the classroom or home, using pictorial symbols
  • annotating a map to show selected natural and human characteristics of Australia, Africa or South America using the appropriate cartographic conventions including map symbols and north point
  • constructing maps to show the features of places, using basic cartographic conventions including map symbols and north point

  VCGGC075 | The Humanities | Geography | Levels 3 and 4 | Geographical Concepts and Skills | Data and information

• VC2M8A02

  graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution

  Elaborations

  • recognising that in a table of values, if the first difference between consecutive values of the dependent variable is constant, then it is a linear relation
  • graphing linear functions and relations of the form x=a , y=a , x ≤a , x>a , y ≤a , y>a on the Cartesian plane for known values of a
  • completing a table of values, plotting the resulting points on the Cartesian plane and determining whether the relationship is linear
  • graphing the linear relationship ax+b=c for given values of a, b and c and identifying from the graph where ax+b <c or where ax+b >c
  • solving linear equations of the form ax+b=c and one-variable inequalities of the form ax+b <c or ax+b >c where a > 0 using inverse operations and digital tools, and checking solutions by substitution
  • solving linear equations such as 3x+7=6x-9 , representing these graphically, and verifying solutions by substitution

  VC2M8A02 | Mathematics | Mathematics Version 2.0 | Level 8 | Algebra

• VCSIS110

  Construct and use a range of representations including graphs, keys and models to record and summarise data from students’ own investigations and secondary sources, and to represent and analyse patterns and relationships

  Elaborations

  • understanding different types of diagrammatic, graphical and physical representations and considering their strengths and limitations
  • comparing and contrasting data from a number of sources in order to create a summary of collected data
  • using diagrammatic representations to convey abstract ideas and to simplify complex situations

  VCSIS110 | Science | Levels 7 and 8 | Science Inquiry Skills | Recording and processing

• VCSIS137

  Construct and use a range of representations, including graphs, keys, models and formulas, to record and summarise data from students’ own investigations and secondary sources, to represent qualitative and quantitative patterns or relationships, and distinguish between discrete and continuous data

  Elaborations

  • using spreadsheets to present data in tables and graphical forms and to carry out mathematical analyses of data
  • designing and constructing appropriate graphs to represent data and to look for trends and patterns

  VCSIS137 | Science | Levels 9 and 10 | Science Inquiry Skills | Recording and processing

• VC2M2ST02

  create different graphical representations of data using software where appropriate; compare the different representations, and identify and describe common and distinctive features in response to questions

  Elaborations

  • collecting data from a limited list of choices, creating 2 different graphical representations of the data, and discussing and comparing the different representations; for example, asking the class to choose their favourite colour from a given set, then co-creating a picture graph with colours on the horizontal axis and comparing it to a column graph with colours on the horizontal axis and numbers on the vertical axis
  • creating different data displays (for example, lists, tally charts, jointly created column graphs and picture graphs) to represent a data set, describing the information that each display represents and discussing how easy or hard they are to interpret and why
  • using digital tools to create picture graphs to represent data using one-to-one correspondence, deciding on an appropriate title for the graph and considering whether the categories of data are appropriate for the context
  • comparing picture graphs with one-to-one column graphs of the same data, interpreting the data in each and saying how they are the same and how they are different; for example, collecting data on the country of birth of each student and creating different pictographs to represent classroom data
  • using dot plots, sticker charts, picture graphs, bar charts and column graphs to represent data

  VC2M2ST02 | Mathematics | Mathematics Version 2.0 | Level 2 | Statistics

• VC2M6ST01

  interpret and compare data sets for ordinal and nominal categorical, discrete and continuous numerical variables using comparative displays or visualisations and digital tools; compare distributions in terms of mode, range and shape

  Elaborations

  • determining the range for a numerical data set by finding the difference between the highest and the lowest value in the set and comparing the range for different data sets
  • representing acquired numerical data sets using side-by-side column graphs, comparing the spread of each data set using the range, the highest frequency for each data set using the mode, and discussing the shape
  • representing ordinal data collected through surveys, using visualisation tools including dot plots and bar charts, and discussing the distribution of data in terms of shape
  • using technology to access data sets and graphing software to construct side-by-side column graphs or stacked line graphs; and comparing data sets that are grouped by gender, year level, age group or other variables, and discussing findings

  VC2M6ST01 | Mathematics | Mathematics Version 2.0 | Level 6 | Statistics