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• 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

• VCMMG313

  Calculate the surface area and volume of cylinders and solve related problems

  Elaborations

  • analysing nets of cylinders to establish formulas for surface area
  • connecting the volume and capacity of a cylinder to solve authentic problems

  VCMMG313 | Mathematics | Level 9 | Measurement and Geometry | Using units of measurement

• VCMMG314

  Solve problems involving the surface area and volume of right prisms

  Elaborations

  • solving practical problems involving surface area and volume of right prisms

  VCMMG314 | Mathematics | Level 9 | Measurement and Geometry | Using units of measurement

• VCMMG316

  Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar

  Elaborations

  • establishing the conditions for similarity of two triangles and comparing this to the conditions for congruence
  • using the properties of similarity and ratio, and correct mathematical notation and language, to solve problems involving enlargement. For example, scale diagrams
  • using the enlargement transformation to establish similarityunderstanding that similarity and congruence help describe relationships between geometrical shapes and are important elements of reasoning and proof

  VCMMG316 | Mathematics | Level 9 | Measurement and Geometry | Geometric reasoning

• VCMNA129

  Investigate the conditions required for a number to be odd or even and identify odd and even numbers

  Elaborations

  • identifying even numbers using skip counting by twos or by grouping even collections of objects in twos
  • explaining why all numbers that end in the digits 0, 2, 4, 6 and 8 are even and that numbers ending in 1, 3, 5, 7 and 9 are odd

  VCMNA129 | Mathematics | Level 3 | Number and Algebra | Number and place value

• VCMMG365

  Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids

  Elaborations

  • using formulas to solve problems
  • using authentic situations to apply knowledge and understanding of surface area and volume

  VCMMG365 | Mathematics | Level 10A | Measurement and Geometry | Using units of measurement

• VCMMG343

  Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids

  Elaborations

  • investigating and determining the volumes and surface areas of composite solids by considering the individual solids from which they are constructed

  VCMMG343 | Mathematics | Level 10 | Measurement and Geometry | Using units of measurement

• VCMSP177

  Identify events where the chance of one will not be affected by the occurrence of the other

  Elaborations

  • explaining that the probability of a new baby being either a boy or a girl does not depend on the sex of the previous baby

  VCMSP177 | Mathematics | Level 4 | Statistics and Probability | Chance

• VCMMG265

  Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning

  Elaborations

  • constructing parallel and perpendicular lines using their properties, a pair of compasses and a ruler, and dynamic geometry software
  • defining and identifying the relationships between alternate, corresponding and co-interior angles for a pair of parallel lines cut by a transversal

  VCMMG265 | Mathematics | Level 7 | Measurement and Geometry | Geometric reasoning

• VCMSP348

  Use the language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language

  Elaborations

  • using two-way tables and Venn diagrams to understand conditional statements
  • using arrays and tree diagrams to determine probabilities

  VCMSP348 | Mathematics | Level 10 | Statistics and Probability | Chance

• VCMSP347

  Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence

  Elaborations

  • recognising that an event can be dependent on another event and that this will affect the way its probability is calculated

  VCMSP347 | Mathematics | Level 10 | Statistics and Probability | Chance

• VCMNA303

  Express numbers in scientific notation

  Elaborations

  • representing extremely large and small numbers in scientific notation, and numbers expressed in scientific notation as whole numbers or decimals

  VCMNA303 | Mathematics | Level 9 | Number and Algebra | Real numbers

• VCMMG123

  Investigate the effect of one-step slides and flips with and without digital technologies

  Elaborations

  • understanding that objects can be moved but changing position does not alter an object’s size or features

  VCMMG123 | Mathematics | Level 2 | Measurement and Geometry | Location and transformation

• VCMNA189

  Recognise that the place value system can be extended beyond hundredths

  Elaborations

  • using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
  • recognising the equivalence of one thousandths and 0.001

  VCMNA189 | Mathematics | Level 5 | Number and Algebra | Fractions and decimals

• VCMSP176

  Identify everyday events where one cannot happen if the other happens

  Elaborations

  • using examples such as weather, which cannot be dry and wet at the same time

  VCMSP176 | Mathematics | Level 4 | Statistics and Probability | Chance

• VCMNA137

  Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents

  Elaborations

  • recognising the relationship between dollars and cents, and that not all countries use these denominations and divisions. For example, the Japanese Yen

  VCMNA137 | Mathematics | Level 3 | Number and Algebra | Money and financial mathematics

• VCMNA160

  Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies

  Elaborations

  • recognising that not all countries use dollars and cents, eg India uses rupees.
  • carrying out calculations in another currency as well as in dollars and cents, and identifying both as decimal systems

  VCMNA160 | Mathematics | Level 4 | Number and Algebra | Money and financial mathematics

• VCMNA159

  Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation

  Elaborations

  • using division by 10 to extend the place-value system
  • using knowledge of fractions to establish equivalences between fractions and decimal notation

  VCMNA159 | Mathematics | Level 4 | Number and Algebra | Fractions and decimals

• 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

• 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