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• Mathematics: Level 10A description

  Level 10A provides optional, additional content for students to be extended in their mathematical studies.

  Students could extend work in number and algebra to investigate the structure and properties of number systems, with further analysis of order relations and inequalities. They could extend...

  Level description | Mathematics

• 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

• Mathematics: Level 10 description

  In Level 10, students extend their use of mathematical models to a wide range of familiar and unfamiliar contexts, involving the use of all types of real numbers. They recognise the role of logical argument and proof in establishing mathematical propositions. Students apply mental, written or...

  Level description | Mathematics

• 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