Search results

Result list

• VCMNA285

  Plot graphs of non-linear real life data with and without the use of digital technologies, and interpret and analyse these graphs

  Elaborations

  • investigating different combinations of length and width of a rectangle for a fixed area, and drawing the corresponding graph
  • using graphs to analysing change in the value of a currency against another currency over a specified period

  VCMNA285 | Mathematics | Level 8 | Number and Algebra | Linear and non-linear relationships

• 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

• Mathematics Version 2.0: Level 8 description

  In Level 8, 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...

  Level description | Mathematics | Mathematics Version 2.0

• 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

• Mathematics Version 2.0: Level 8 achievement standards

  By the end of Level 8, students recognise irrational numbers as numbers that cannot develop from the division of integer values by natural numbers and terminating or recurring decimals. They apply the exponent laws to calculations with numbers involving positive integer exponents. Students...

  Level description | Mathematics | Mathematics Version 2.0 | Level 8

• VC2M8M05

  recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure

  Elaborations

  • identifying examples of rates in the real world, including constant rates, rate of pay, cost per kilogram, recipes, simple interest and average rates
  • applying rates to solve problems involving the conversion between different units of measure; for example, using a conversion rate to convert distances from miles to kilometres, or using currency exchange rates to determine the price of items
  • applying rates to calculate solutions to problems in different contexts, for example, required run rates in cricket, dilution of concentrated chemicals and comparing the petrol consumption rates of different vehicles
  • using taxation tables to calculate an individual's annual income tax
  • investigating the application of rates in Aboriginal and Torres Strait Islander Peoples’ land management practices, including the rate of fire spread under different environmental conditions such as fuel types, wind speed, temperature and relative humidity; the conservation of water by Aboriginal and Torres Strait Islander Peoples by estimating rates of water evaporation based on surface area and climatic conditions

  VC2M8M05 | Mathematics | Mathematics Version 2.0 | Level 8 | Measurement

• VC2M8A05

  experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

  Elaborations

  • using graphing software to investigate the effect of systematically varying parameters of linear functions on the corresponding graphs, making and testing conjectures; for example, making a conjecture that if the coefficient of x is negative, then the line will slope down from left to right
  • using graphing software to systematically contrast the graphs of y=2x, -y=2x, y=-2x and -y=-2x with those of
    y<2x, -y<2x, y<-2x and -y<-2x and those of y>2x, -y>2x,  y>-2x and -y>-2x, making and testing conjectures about sign and direction of the inequality
  • using digital tools to investigate integer solutions to equations such as 2x+3y=48

  VC2M8A05 | Mathematics | Mathematics Version 2.0 | Level 8 | Algebra

• VC2M8P02

  determine all possible outcome combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific events in practical situations

  Elaborations

  • describing events using language of ‘at least’, exclusive ‘or’ (A or B but not both), inclusive ‘or’ (A or B or both) and ‘and’
  • using the relation Pr(A and B) + Pr(A and not B) + Pr(not A and B) + Pr(not A and not B) = 1 to calculate probabilities, including the special case of mutually exclusive events where Pr(A and B) = 0
  • using Venn diagrams or two-way tables to demonstrate the difference between events that are mutually exclusive, such as whether a coin toss will land on a head or a tail, and those that are not mutually exclusive, such as people who have blonde hair and people who have blue eyes
  • exploring Aboriginal and/or Torres Strait Islander children’s instructive games, for example, Battendi from the Ngarrindjeri Peoples of Lake Murray and Lake Albert in southern Australia, applying possible combinations and relationships and calculating probabilities using two-way tables and Venn diagrams

  VC2M8P02 | Mathematics | Mathematics Version 2.0 | Level 8 | Probability

• Chinese - Background Language Learner - 7–10 Sequence: Levels 7 and 8 achievement standards

  By the end of Year 8, students use spoken and written Chinese to sustain interactions in their personal and social worlds (for example, 你叫什么名字？你多大了？你住在哪个城市？,不对，我是说… and 老师，我可以用电脑吗？), making appropriate language choices for different roles, relationships and situations, for example, 你的那个，那个 as...

  Level description | Languages | Chinese | Background Language Learner | 7–10 Sequence | Levels 7 and 8

• VCMMG286

  Choose appropriate units of measurement for area and volume and convert from one unit to another

  Elaborations

  • choosing units for area including mm², cm², m², hectares, km², and units for volume including mm³, cm³, m³
  • recognising that the conversion factors for area units are the squares of those for the corresponding linear units
  • recognising that the conversion factors for volume units are the cubes of those for the corresponding linear units

  VCMMG286 | Mathematics | Level 8 | Measurement and Geometry | Using units of measurement

• Digital Technologies: Levels 7 and 8 description

  In Levels 7 and 8, students analyse the properties of networked systems and their suitability and use for the transmission of data types. They acquire, analyse, validate and evaluate various types of data, and appreciate the complexities of storing and transmitting that data in digital systems.

  Stude...

  Level description | Technologies | Digital Technologies

• Mathematics: Level 8 achievement standards

  Number and Algebra

  Students use efficient mental and written strategies to make estimates and carry out the four operations with integers, and apply the index laws to whole numbers. They identify and describe rational and irrational numbers in context. Students estimate answers and solve everyday...

  Level description | Mathematics | Level 8

• VCICCD016

  Evaluate the ways in which the community demonstrates the value it places on cultural diversity, and why this valuing of cultural diversity is important to the community

  Elaborations

  • exploring how councils or Governments support community commemorations and celebrations, such as Chinese New Year
  • identifying buildings or spaces that are used for cultural gatherings/meeting or religious purposes, such as libraries, theatres, community halls, prayer rooms, churches and mosques
  • discussing the ways in which different community members participate in events held across the year, such as annual fairs and music events, or by looking into the services or programs offered at libraries, in your local paper or within the school
  • using Australian Bureau of Statistics census data to create a presentation that tracks changes to the cultural composition in the local community over time and use an online service such as Trove (National Library of Australia) to uncover images or newspaper articles to include in the presentation
  • asking students to imagine they are coordinating a local event and to outline the steps they would take to show the value placed on including culturally diverse community members

  VCICCD016 | Capabilities | Intercultural Capability | Levels 7 and 8 | Cultural Diversity

• VCRAU068

  Understand that language is not neutral and that its use reflects cultural ideas, assumptions and perspectives

  Elaborations

  • analysing culture-specific values reflected in the language such as respect for diversity, social justice and social responsibility and comparing these values to those evident in own language and culture
  • analysing the meaning and nuances of culture-specific descriptions
  • recognising that there are culture-specific meanings associated with body language, for example, hands on hips can suggest arrogance and aggression
  • recognising that language and cultural practices are interconnected and that some expressions may have religious connotations, for example, OMG
  • investigating and using language associated with significant cultural practices and events such as celebrations, birthdays, New Year

  VCRAU068 | Languages | Roman Alphabet Languages | F–10 Sequence | Levels 7 and 8 | Understanding | Role of language and culture

• VCZHC230

  Plan, rehearse and deliver presentations of classical Chinese literature and famous speeches and discuss how cultural values can be transferred

  Elaborations

  • discussing the impact of Chinese traditional entertainment on contemporary Chinese culture, for example, 相声
  • analysing classical poems and the values they convey, and relating them to culturally significant events, for example, Chinese New Year in 宋代诗人王安石《元日》
  • comparing the Gettysburg Address with a speech of equal significance in Chinese and discussing why these speeches are important and what language features are used to convey messages

  VCZHC230 | Languages | Chinese | First Language Learner | 7–10 Sequence | Levels 7 and 8 | Communicating | Creating

• Auslan - First Language Learner - 7–10 Sequence: Levels 7 and 8 achievement standards

  By the end of Level 8, students interact with the teaching team, class visitors and each other to share information about themselves, their families, friends, routines, pastimes and experiences. They refer to family members and classmates using fingerspelling or sign names as appropriate, and...

  Level description | Languages | Auslan | First Language Learner | 7–10 Sequence | Levels 7 and 8

• VC2M8M03

  solve problems involving the circumference and area of a circle using formulas and appropriate units

  Elaborations

  • deducing that the area of a circle is between 2 radius squares and 4 radius squares, and using 3 × radius² as a rough estimate for the area of a circle
  • investigating the area of circles using a square grid or by rearranging a circle divided into smaller and smaller sectors or slices to resemble a close approximation of a rectangle
  • applying the formulas for the area and circumference of a circle to solve practical problems, and using one of the measures of radius, diameter, circumference or area to deduce the value of the other measures; for example, determining the length of material needed to edge a round table, given its dimensions as the area of the tabletop
  • exploring traditional weaving designs by Aboriginal and Torres Strait Islander Peoples and investigating the significance and use of circles

  VC2M8M03 | Mathematics | Mathematics Version 2.0 | Level 8 | Measurement

• VC2M8SP01

  identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations

  Elaborations

  • developing an understanding of what it means for shapes to be congruent or similar
  • using the enlargement transformation and digital tools to develop sets of similar shapes
  • investigating sufficient conditions to establish that 2 triangles are congruent
  • applying logical reasoning and tests for congruence and similarity, to problems and proofs involving plane shapes
  • comparing angle and side measurements of shapes under transformation to answer questions such as ‘What changes?’ and ‘What stays the same?’
  • establishing that 2 shapes are congruent if one lies exactly on top of the other after one or more transformations, including translations, reflections and rotations, and recognising that the matching sides and the matching angles are equal

  VC2M8SP01 | Mathematics | Mathematics Version 2.0 | Level 8 | Space