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• VCMSP372

  Calculate and interpret the mean and standard deviation of data and use these to compare data sets. Investigate the effect of individual data values including outliers, on the standard deviation

  Elaborations

  • using the standard deviation to describe the spread of a set of data
  • using the mean and standard deviation to compare numerical data sets
  • constructing distributions for the mean and standard deviation of simple random samples from a population

  VCMSP372 | Mathematics | Level 10A | Statistics and Probability | Data representation and interpretation

• VCMMG368

  Use the unit circle to define trigonometric functions as functions of a real variable, and graph them with and without the use of digital technologies

  Elaborations

  • establishing the symmetrical properties of trigonometric functions
  • investigating angles of any magnitude
  • understanding that trigonometric functions are periodic and that this can be used to describe motion
  • identifying points on the unit circle via arc lengths in radians, which correspond to specified values of the circular functions sine, cosine and tangent

  VCMMG368 | Mathematics | Level 10A | Measurement and Geometry | Pythagoras and trigonometry

• VCMNA247

  Connect fractions, decimals and percentages and carry out simple conversions

  Elaborations

  • justifying choices of written, mental or calculator strategies for solving specific problems including those involving large numbers
  • understanding that quantities can be represented by different number types and calculated using various operations, and that choices need to be made about each
  • calculating the percentage of the total local municipal area set aside for parkland, manufacturing, retail and residential dwellings to compare land use

  VCMNA247 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMMG098

  Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features

  Elaborations

  • focusing on geometric features and describing shapes and objects using everyday words such as 'corners', 'edges' and 'faces'

  VCMMG098 | Mathematics | Level 1 | Measurement and Geometry | Shape

• VCMMG118

  Name and order months and seasons

  Elaborations

  • investigating the seasons used by Aboriginal people, comparing them to those used in Western society and recognising the connection to weather patterns.

  VCMMG118 | Mathematics | Level 2 | Measurement and Geometry | Using units of measurement

• VCMNA220

  Explore the use of brackets and order of operations to write number sentences

  Elaborations

  • appreciating the need for rules to complete multiple operations within the same number sentence

  VCMNA220 | Mathematics | Level 6 | Number and Algebra | Patterns and algebra

• Mathematics: Level 9 achievement standards

  Number and Algebra

  Students apply the index laws using integer indices to variables and numbers, express numbers in scientific notation, solve problems involving very small and very large numbers, and check the order of magnitude of calculations. They solve problems involving simple interest. Students...

  Level description | Mathematics | Level 9

• VCMSP148

  Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording

  Elaborations

  • refining questions and planning investigations that involve collecting data, and carrying out the investigation. For example narrowing the focus of a question such as ‘which is the most popular breakfast cereal?’ to ‘which is the most popular breakfast cereal among students in our class?’

  VCMSP148 | Mathematics | Level 3 | Statistics and Probability | Data representation and interpretation

• 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

• Mathematics | Mathematics: Scope and Sequence

  The curriculum sets out what students are expected to learn and is designed as a continuum of learning. The curriculum is being presented in a scope and sequence chart to support teachers to easily see the progression and assist in planning teaching and learning programs to meet the diverse...

  Overview material | Mathematics

• 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

• Mathematics: Level 1 description

  In Level 1, students use mathematical symbols and language as well as materials and drawings in their mathematical explorations of daily life.

  Students recognise, represent and order numbers to at least 100 using materials, diagrams, words, numerals and a number line, and apply this with respect...

  Level description | Mathematics

• VCMNA304

  Solve problems involving simple interest

  Elaborations

  • understanding that financial decisions can be assisted by mathematical calculations

  VCMNA304 | Mathematics | Level 9 | Number and Algebra | Money and financial mathematics

• Mathematics: Level D achievement standards

  Number and Algebra

  Students connect number names and numerals with sets of up to 10 elements. They match individual objects with counting sequences up to and back from 10. They recognise and point to numerals in and around the classroom, for example, numbers on a clock face. Students use concrete...

  Level description | Mathematics | Level D

• 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

• 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

• VCMNA255

  Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point

  Elaborations

  • plotting points from a table of integer values and recognising simple patterns, such as points that lie on a straight line

  VCMNA255 | Mathematics | Level 7 | Number and Algebra | Linear and non-linear relationships

• VCMNA310

  Sketch linear graphs using the coordinates of two points and solve linear equations

  Elaborations

  • determining linear rules from suitable diagrams, tables of values and graphs and describing them using both words and algebra

  VCMNA310 | Mathematics | Level 9 | Number and Algebra | Linear and non-linear relationships

• 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

• Mathematics: Level 2 description

  In Level 2, students use grouping partitioning and re-arrangement to apply place value and extend the range of numbers they use and apply to thousands.

  Students recognise, model and order numbers to at least 1000 and use a variety of strategies to count efficiently, including skip counting forwards...

  Level description | Mathematics