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• 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

• VCMNA307

  Apply set structures to solve real-world problems

  Elaborations

  • using a sort algorithm to determine the median of a set of numbers
  • exploring variation in proportion and means of random samples, drawn from a population

  VCMNA307 | Mathematics | Level 9 | Number and Algebra | Patterns and algebra

• VCMMG145

  Identify and describe slides and turns found in the natural and built environment

  Elaborations

  • recognising and representing slides and turn used in brickwork around the school
  • recognising and representing slides and turn used in sporting activities

  VCMMG145 | Mathematics | Level 3 | Measurement and Geometry | Location and transformation

• VCMNA076

  Sort and classify familiar objects and explain the basis for these classifications, and copy, continue and create patterns with objects and drawings

  Elaborations

  • observing natural patterns in the world around us
  • creating and describing patterns using materials, sounds, movements or drawings
  • extending patterns using materials and drawings to the right and to the left
  • identifying which part of the pattern is being repeated (happening over and over again)

  VCMNA076 | Mathematics | Foundation Level | Number and Algebra | Patterns and algebra

• Mathematics: Level 8 description

  In Level 8, students consolidate their proficiency with the four arithmetic operations, and combinations of these, for general computation involving natural numbers, integers and rational numbers, with and without the use of technology. They represent these numbers on the real number line. They...

  Level description | Mathematics

• VCMNA275

  Investigate the concept of irrational numbers, including π

  Elaborations

  • understanding that the real number system includes irrational numbers

  VCMNA275 | Mathematics | Level 8 | Number and Algebra | Real numbers

• VCMNA243

  Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

  Elaborations

  • exploring and developing efficient strategies to solve additive problems involving fractions (for example by using fraction walls or rectangular arrays with dimensions equal to the denominators)

  VCMNA243 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA335

  Solve problems involving linear equations, including those derived from formulas

  Elaborations

  • representing word problems with simple linear equations and solving them to answer questions

  VCMNA335 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• VCMSP178

  Select and trial methods for data collection, including survey questions and recording sheets

  Elaborations

  • comparing the effectiveness of different methods of collecting data
  • choosing the most effective way to collect data for a given investigation

  VCMSP178 | Mathematics | Level 4 | Statistics and Probability | Data representation and interpretation

• VCMSP180

  Evaluate the effectiveness of different displays in illustrating data features including variability

  Elaborations

  • interpreting data representations in the media and other forums in which symbols represent more than one data value
  • suggesting questions that can be answered by a given data display and using the display to answer questions

  VCMSP180 | Mathematics | Level 4 | Statistics and Probability | Data representation and interpretation

• VCMSP353

  Investigate and describe bivariate numerical data, including where the independent variable is time

  Elaborations

  • investigating biodiversity changes in Australia since European occupation
  • constructing and interpreting data displays representing bivariate data over time
  • constructing scatter-plots for two numerical variables and investigate trends such as water storage levels over time or weight and height distributions

  VCMSP353 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP300

  Investigate the effect of individual data values including outliers, on the range, mean and median

  Elaborations

  • using displays of data to explore and investigate effects
  • exploring the effect of outliers on the range for different sets of data by comparing its value with and without outliers included

  VCMSP300 | Mathematics | Level 8 | Statistics and Probability | Data representation and interpretation

• VCMMG345

  Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

  Elaborations

  • distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent)
  • performing a sequence of steps to determine an unknown angle giving a justification in moving from one step to the next.
  • communicating a proof using a sequence of logically connected statements

  VCMMG345 | Mathematics | Level 10 | Measurement and Geometry | Geometric reasoning

• VCMMG346

  Solve right-angled triangle problems including those involving direction and angles of elevation and depression

  Elaborations

  • applying Pythagoras's Theorem and trigonometry to problems in surveying and design

  VCMMG346 | Mathematics | Level 10 | Measurement and Geometry | Pythagoras and trigonometry

• VCMMG290

  Solve problems involving duration, including using 12- and 24-hour time within a single time zone

  Elaborations

  • identifying regions in Australia and countries in Asia that are in the same time zone

  VCMMG290 | Mathematics | Level 8 | Measurement and Geometry | Using units of measurement

• VCMMG229

  Investigate the effect of combinations of transformations on simple and composite shapes, including creating tessellations, with and without the use of digital technologies

  Elaborations

  • understanding which attributes of a shape remain the same or change under the effects of transformations such as size, shape or orientation
  • creating tessellations with simple shapes or simple composite shapes

  VCMMG229 | Mathematics | Level 6 | Measurement and Geometry | Location and transformation

• VCMNA070

  Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond

  Elaborations

  • understanding that each object must be counted only once, that the arrangement of objects does not affect how many there are, and that the last number counted answers the ‘how many’ question
  • using scenarios to help students recognise that other cultures count in a variety of ways, such as by placing one pebble in a bag to represent one object. For example to count the number of cattle

  VCMNA070 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• VCMNA158

  Count by quarters, halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line

  Elaborations

  • converting mixed numbers to improper fractions and vice versa
  • investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations

  VCMNA158 | Mathematics | Level 4 | Number and Algebra | Fractions and decimals

• VCMNA257

  Investigate, interpret and analyse graphs from real life data, including consideration of domain and range

  Elaborations

  • using travel graphs to investigate and compare the distance travelled to and from school
  • interpreting features of travel graphs such as the slope of lines and the meaning of horizontal lines
  • using graphs of evaporation rates to explore water storage
  • describing and comparing temperature during a day at different times of the year from the corresponding graphs

  VCMNA257 | Mathematics | Level 7 | 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