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• VCMNA252

  Create algebraic expressions and evaluate them by substituting a given value for each variable

  Elaborations

  • using authentic formulas to perform substitutions

  VCMNA252 | Mathematics | Level 7 | Number and Algebra | Patterns and algebra

• 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

• VCMSP270

  Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data

  Elaborations

  • understanding that summarising data by calculating measures of centre and spread can help make sense of the data

  VCMSP270 | Mathematics | Level 7 | Statistics and Probability | Data representation and interpretation

• VCMMG260

  Draw different views of prisms and solids formed from combinations of prisms

  Elaborations

  • using aerial views of buildings and other 3-D structures to visualise the structure of the building or prism

  VCMMG260 | Mathematics | Level 7 | Measurement and Geometry | Shape

• VCMNA256

  Solve simple linear equations

  Elaborations

  • solving equations using concrete materials, such as the balance model, and explain the need to do the same thing to each side of the equation using substitution to check solutions
  • investigating a range of strategies to solve equations

  VCMNA256 | Mathematics | Level 7 | Number and Algebra | Linear and non-linear relationships

• VCMNA254

  Design and implement mathematical algorithms using a simple general purpose programming language

  Elaborations

  • finding the sum of a set of consecutive numbers using a loop structure
  • constructing geometric patterns such as a honeycomb, using dynamic geometry functionality

  VCMNA254 | Mathematics | Level 7 | Number and Algebra | Patterns and algebra

• 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

• 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

• VCMNA238

  Investigate index notation and represent whole numbers as products of powers of prime numbers

  Elaborations

  • defining and comparing prime and composite numbers and explaining the difference between them
  • applying knowledge of factors to strategies for expressing whole numbers as products of powers of prime factors, such as repeated division by prime factors or creating factor trees
  • solving problems involving lowest common multiples and greatest common divisors (highest common factors) for pairs of whole numbers by comparing their prime factorisation

  VCMNA238 | Mathematics | Level 7 | Number and Algebra | Number and place value

• VCMSP269

  Construct and compare a range of data displays including stem-and-leaf plots and dot plots

  Elaborations

  • understanding that some data representations are more appropriate than others for particular data sets, and answering questions about those data sets
  • using ordered stem-and-leaf plots to record and display numerical data collected in a class investigation, such as constructing a class plot of height in centimetres on a shared stem-and-leaf plot for which the stems 12, 13, 14, 15, 16 and 17 have been produced

  VCMSP269 | Mathematics | Level 7 | Statistics and Probability | Data representation and interpretation