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• VCMMG259

  Calculate volumes of rectangular prisms

  Elaborations

  • investigating volumes of cubes and rectangular prisms and establishing and using the formula V = l × b × h
  • understanding and using cubic units when interpreting and finding volumes of cubes and rectangular prisms

  VCMMG259 | Mathematics | Level 7 | Measurement and Geometry | Using units of measurement

• VCMMG258

  Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving

  Elaborations

  • building on the understanding of the area of rectangles to develop formulas for the area of triangles
  • establishing that the area of a triangle is half the area of an appropriate rectangle
  • using area formulas for rectangles and triangles to solve problems involving areas of surfaces

  VCMMG258 | Mathematics | Level 7 | Measurement and Geometry | Using units of measurement

• VCMMG320

  Apply trigonometry to solve right-angled triangle problems

  Elaborations

  • understanding the terms 'adjacent' and 'opposite' sides in a right-angled triangle
  • selecting and accurately using the correct trigonometric ratio to find unknown sides (adjacent, opposite and hypotenuse) and angles in right-angled triangles

  VCMMG320 | Mathematics | Level 9 | Measurement and Geometry | Pythagoras and trigonometry

• VCMMG318

  Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles

  Elaborations

  • understanding that Pythagoras' Theorem is a useful tool in determining unknown lengths in right-angled triangles and has widespread applications
  • recognising that right-angled triangle calculations may generate results that can be integers, fractions or irrational numbers

  VCMMG318 | Mathematics | Level 9 | Measurement and Geometry | Pythagoras and trigonometry

• VCMMG095

  Measure and compare the lengths, masses and capacities of pairs of objects using uniform informal units

  Elaborations

  • understanding that in order to compare objects, the unit of measurement must be the same size
  • lifting to compare the mass of objects using words, for example, heavier, lighter, same
  • measuring the capacity of containers using uniform material, for example cups or buckets

  VCMMG095 | Mathematics | Level 1 | Measurement and Geometry | Using units of measurement

• VCMNA092

  Recognise, describe and order Australian coins according to their value

  Elaborations

  • showing that coins are different in other countries by comparing Asian coins to Australian coins
  • understanding that the value of Australian coins is not related to size
  • describing the features of coins that make it possible to identify them

  VCMNA092 | Mathematics | Level 1 | Number and Algebra | Money and financial mathematics

• VCMNA212

  Solve problems involving addition and subtraction of fractions with the same or related denominators

  Elaborations

  • understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions
  • solving realistic additive (addition and subtraction) problems involving fractions to develop understanding of equivalent fractions and the use of fractions as operators
  • modelling and solving additive problems involving fractions by using methods such as jumps on a number line, or by making diagrams of fractions as parts of shapes

  VCMNA212 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMMG028

  Recognise and participate in familiar events that happen on a daily basis

  Elaborations

  • recognising the sequence of familiar events, for example ‘first and then’, with the support of picture-based schedules
  • understanding and using environmental cues such as equipment, staff and location to predict and identify activities
  • assisting in the construction of visual timetable for the class
  • responding to the signal from a timer to indicate the end of an activity

  VCMMG028 | Mathematics | Level B | Measurement and Geometry | Using units of measurement

• VCMMG064

  Use direct comparison to sort three dimensional objects and two dimensional shapes

  Elaborations

  • sorting shapes that are the ‘same’ or ‘different’
  • identifying, matching and sorting simple familiar two and three dimensional objects according to a single attribute
  • identifying familiar shapes hidden in a picture
  • investigating the inside and outside shape of an object
  • understanding the relationship between shape and template, for example, insert puzzle, inserting a shape in a matching shaped hole

  VCMMG064 | Mathematics | Level D | Measurement and Geometry | Shape

• 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

• VCMMG288

  Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving determining radius, diameter, circumference and area from each other

  Elaborations

  • investigating the circumference and area of circles with materials or by measuring, to establish an understanding of formulas
  • investigating the area of circles using a square grid or by rearranging a circle divided into sectors
  • solving problems given one of radius, diameter, circumference or area of a circle, then the other quantities are determined from this

  VCMMG288 | Mathematics | Level 8 | Measurement and Geometry | Using units of measurement

• VCMMG291

  Define congruence of plane shapes using transformations and use transformations of congruent shapes to produce regular patterns in the plane including tessellations with and without the use of digital technology

  Elaborations

  • understanding the properties that determine congruence of triangles and recognising which transformations create congruent figures
  • establishing that two figures are congruent if one shape lies exactly on top of the other after one or more transformations (translation, reflection, rotation), and recognising that the matching sides and the matching angles are equal
  • exploring tiling patterns in art and design

  VCMMG291 | Mathematics | Level 8 | Measurement and Geometry | Geometric reasoning

• VCMNA019

  Correspond ‘one’ with a single object

  Elaborations

  • showing understanding of object permanency, by tracking and finding an object
  • exploring ‘oneness’ and indicate one, for example one clap, experiencing one object, giving out materials one at a time, requesting one, hearing one sound or beat
  • distributing objects and materials with support, using basic one-to-one correspondence

  VCMNA019 | Mathematics | Level B | Number and Algebra | Number and place value

• VCMNA105

  Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting

  Elaborations

  • using an abacus to model and represent numbers
  • understanding three-digit numbers as comprised of hundreds, tens and ones/units
  • demonstrating and using models such as linking blocks, sticks in bundles, place-value blocks and Aboriginal bead strings and explaining reasoning

  VCMNA105 | Mathematics | Level 2 | Number and Algebra | Number and place value

• VCMNA072

  Compare, order and make correspondences between collections, initially to 20, and explain reasoning

  Elaborations

  • comparing and ordering items of like and unlike characteristics using the words ‘more’, ‘less’, ‘same as’ and ‘not the same as’ and giving reasons for these answers
  • understanding and using terms such as ‘first’ and ‘second’ to indicate ordinal position in a sequence.
  • using objects which are personally and culturally relevant to students

  VCMNA072 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• 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

• VC2M9P02

  calculate relative frequencies from given or collected data to estimate probabilities of events involving ‘and’, inclusive ‘or’ and exclusive ‘or’

  Elaborations

  • understanding that relative frequencies from large data sets or long-run experiments can provide reliable measures of probability and can be used to make predictions of decisions 
  • using Venn diagrams or two-way tables to estimate frequencies of events involving ‘and’ and ‘or’ questions

  VC2M9P02 | Mathematics | Mathematics Version 2.0 | Level 9 | Probability

• VCMSP235

  Construct, interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables

  Elaborations

  • comparing different student-generated diagrams, tables and graphs, describing their similarities and differences and commenting on the usefulness of each representation for interpreting the data
  • understanding that data can be represented in different ways, sometimes with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgments

  VCMSP235 | Mathematics | Level 6 | Statistics and Probability | Data representation and interpretation

• VCMSP350

  Construct and interpret box plots and use them to compare data sets

  Elaborations

  • understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
  • using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

  VCMSP350 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• 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