Search results

Result list

• 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

• VCMMG292

  Develop the conditions for congruence of triangles

  Elaborations

  • investigating the minimal conditions needed for the unique construction of triangles, leading to the establishment of the conditions for congruence (SSS, SAS, ASA and RHS)
  • solving problems using the properties of congruent figures
  • constructing triangles using the conditions for congruence

  VCMMG292 | Mathematics | Level 8 | Measurement and Geometry | Geometric reasoning

• VCMNA283

  Plot linear relationships on the Cartesian plane with and without the use of digital technologies

  Elaborations

  • completing a table of values, plotting the resulting points and determining whether the relationship is linear
  • finding the rule for a linear relationship

  VCMNA283 | Mathematics | Level 8 | Number and Algebra | Linear and non-linear relationships

• VCMNA281

  Simplify algebraic expressions involving the four operations

  Elaborations

  • understanding that the laws used with numbers can also be used with algebra

  VCMNA281 | Mathematics | Level 8 | Number and Algebra | Patterns and algebra

• VCMNA276

  Solve problems involving the use of percentages, including percentage increases and decreases and percentage error, with and without digital technologies

  Elaborations

  • using percentages to solve problems, including those involving mark-ups, discounts, and GST
  • using percentages to calculate population increases and decreases
  • using percentage error to compare relative size of error in calculations involving a given or actual value, and an estimated or measured value

  VCMNA276 | Mathematics | Level 8 | Number and Algebra | Real numbers

• 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

• VCMSP297

  Distinguish between a population and a sample and investigate techniques for collecting data, including census, sampling and observation

  Elaborations

  • identifying situations where data can be collected by census and those where a sample is appropriate
  • investigating the differences between convenience, judgemental and simple random sampling from a population

  VCMSP297 | Mathematics | Level 8 | Statistics and Probability | Data representation and interpretation

• VCMNA277

  Solve a range of problems involving rates and ratios, including distance-time problems for travel at a constant speed, with and without digital technologies

  Elaborations

  • understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem
  • calculating population growth rates in Australia and Asia and explaining their difference
  • finding one of distance travelled, time taken or average speed given the other two quantities

  VCMNA277 | Mathematics | Level 8 | Number and Algebra | Real numbers