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• VCMNA337

  Solve simultaneous linear equations, using algebraic and graphical techniques including using digital technology

  Elaborations

  • associating the solution of simultaneous equations with the coordinates of the intersection of their corresponding graphs

  VCMNA337 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• VCMNA364

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

  Elaborations

  • using graphs to determine a convergent set of intervals which contain a point of intersection of the graphs of two functions
  • using cobweb diagram to solve simultaneous equations numerically

  VCMNA364 | Mathematics | Level 10A | Number and Algebra | Linear and non-linear relationships

• Mathematics | Mathematics: Structure

  The curriculum is organised by the three strands of Number and Algebra, Measurement and Geometry, and Statistics and Probability.

  Each strand is organised by sub-­strands. Sub-strands group content descriptions under an appropriate concept, to provide both a focus and a clear sequence for the...

  Overview material | Mathematics

• VCMNA363

  Use function notation to describe the relationship between dependent and independent variables in modelling contexts

  Elaborations

  • identify independent and dependent variables in modelling contexts and represent the relation between them using tables, graphs and rules
  • using technology to draw graphs of functions defined using function notation with consideration of domain and range

  VCMNA363 | Mathematics | Level 10A | Number and Algebra | Linear and non-linear relationships

• VCMSP371

  Investigate reports of studies in digital media and elsewhere for information on their planning and implementation

  Elaborations

  • evaluating the appropriateness of sampling methods in reports where statements about a population are based on a sample
  • evaluating whether graphs in a report could mislead, and whether graphs and numerical information support the claims

  VCMSP371 | Mathematics | Level 10A | Statistics and Probability | Chance

• VCMNA359

  Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations

  Elaborations

  • applying transformations, including translations, reflections in the axes and stretches to help graph parabolas, rectangular hyperbolas, circles and exponential functions

  VCMNA359 | Mathematics | Level 10A | Number and Algebra | Linear and non-linear relationships

• 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

• 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

• VCMNA058

  Using money in everyday financial situations and matching coins to two dimensional images

  Elaborations

  • matching coins to 2D images
  • using money to pay for goods and services in the community

  VCMNA058 | Mathematics | Level D | Number and Algebra | Money and financial mathematics

• VCMSP323

  Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians

  Elaborations

  • investigating a range of data and its sources. For example, the age of residents in Australia, Cambodia and Tonga, or the number of subjects studied at school by 14-year-old students in Australia, Japan and Timor-Leste

  VCMSP323 | Mathematics | Level 9 | Statistics and Probability | Chance

• Mathematics: Level 7 achievement standards

  Number and Algebra

  Students solve problems involving the order, addition and subtraction of integers. They make the connections between whole numbers and index notation and the relationship between perfect squares and square roots. They solve problems involving all four operations with fractions...

  Level description | Mathematics | Level 7

• 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

• Mathematics: Level 10 achievement standards

  Number and Algebra

  Students recognise the connection between simple and compound interest. They solve problems involving linear equations and inequalities, quadratic equations and pairs of simultaneous linear equations and related graphs, with and without the use of digital technology. Students...

  Level description | Mathematics | Level 10

• Mathematics: Level 4 description

  In Level 4, students extend the number system to simple decimal fractions, and broaden their use of measures and scales.

  Students model, represent and order numbers to tens of thousands, and extend place value to tenths and hundredths. They investigate odd and even numbers and explore number patterns...

  Level description | Mathematics

• Mathematics: Level 7 description

  In Level 7, students work with powers of whole numbers, use index notation, represent numbers as products of powers of prime numbers, and investigate square roots of perfect squares. They use number properties to assist with calculation and order, and to add and subtract integers. Students find...

  Level description | Mathematics

• VCMNA210

  Investigate everyday situations that use integers. Locate and represent these numbers on a number line

  Elaborations

  • recognising that integers form an ordered infinite set {…-3, -2, -1, 0, 1, 2, 3…} with no first element or last element
  • solving everyday additive problems using a number line
  • investigating everyday situations that use integers, such as temperatures
  • using number lines to position and order integers around zero

  VCMNA210 | Mathematics | Level 6 | Number and Algebra | Number and place value

• VCMSP271

  Describe and interpret data displays using median, mean and range

  Elaborations

  • using mean and median to compare data sets and explaining how outliers may affect the comparison
  • locating mean, median and range on graphs and connecting them to real life

  VCMSP271 | Mathematics | Level 7 | Statistics and Probability | Data representation and interpretation

• VCMNA242

  Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line

  Elaborations

  • exploring equivalence among families of fractions by using a fraction wall or a number line (for example by using a fraction wall to show that 2/3 is the same as 4/6 and 6/9)

  VCMNA242 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA094

  Recognise the importance of repetition of a process in solving problems

  Elaborations

  • using one-to-one correspondence to determine which of two sets is larger, or if they are of equal size
  • dividing a set of blocks in a simple ratio such as ‘2 for me’, ‘1 for you’

  VCMNA094 | Mathematics | Level 1 | Number and Algebra | Patterns and algebra

• 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