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• VCMNA249

  Recognise and solve problems involving simple ratios

  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

  VCMNA249 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA329

  Factorise algebraic expressions by taking out a common algebraic factor

  Elaborations

  • using the distributive law and the index laws to factorise algebraic expressions
  • understanding the relationship between factorisation and expansion

  VCMNA329 | Mathematics | Level 10 | Number and Algebra | Patterns and algebra

• VCMNA251

  Introduce the concept of variables as a way of representing numbers using letters

  Elaborations

  • understanding that arithmetic laws are powerful ways of describing and simplifying calculations and that using these laws leads to the generality of algebra

  VCMNA251 | Mathematics | Level 7 | Number and Algebra | Patterns and algebra

• VCMSP270

  Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data

  Elaborations

  • understanding that summarising data by calculating measures of centre and spread can help make sense of the data

  VCMSP270 | Mathematics | Level 7 | Statistics and Probability | Data representation and interpretation

• 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

• VCMSP102

  Represent data with objects and drawings where one object or drawing represents one data value. Describe the displays

  Elaborations

  • understanding one-to-one correspondence
  • describing displays by identifying categories with the greatest or least number of objects

  VCMSP102 | Mathematics | Level 1 | Statistics and Probability | Data representation and interpretation

• 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

• Mathematics | Mathematics: Learning in Mathematics

  The proficiencies of Understanding, Fluency, Problem Solving and Reasoning are fundamental to learning mathematics and working mathematically and are applied across all three strands Number and Algebra, Measurement and Geometry, and Statistics and Probability.

  Understanding refers to students...

  Overview material | Mathematics

• VCMMG099

  Give and follow directions to familiar locations

  Elaborations

  • understanding that people need to give and follow directions to and from a place, and that this involves turns, direction and distance
  • understanding the meaning and importance of words such as ‘clockwise’, ‘anticlockwise’, ‘forward’ and ‘under’ when giving and following directions
  • interpreting and following directions around familiar locations

  VCMMG099 | Mathematics | Level 1 | Measurement and Geometry | Location and transformation

• VCMNA208

  Identify and describe properties of prime, composite, square and triangular numbers

  Elaborations

  • understanding that some numbers have special properties and that these properties can be used to solve problems
  • representing composite numbers as a product of their prime factors and using this form to simplify calculations by cancelling common primes
  • understanding that if a number is divisible by a composite number then it is also divisible by the prime factors of that number.

  VCMNA208 | Mathematics | Level 6 | Number and Algebra | Number and place value

• VCMMG122

  Interpret simple maps of familiar locations and identify the relative positions of key features

  Elaborations

  • understanding that we use representations of objects and their positions, such as on maps, to allow us to receive and give directions and to describe place
  • constructing arrangements of objects from a set of directions

  VCMMG122 | Mathematics | Level 2 | Measurement and Geometry | Location and transformation

• VCMMG229

  Investigate the effect of combinations of transformations on simple and composite shapes, including creating tessellations, with and without the use of digital technologies

  Elaborations

  • understanding which attributes of a shape remain the same or change under the effects of transformations such as size, shape or orientation
  • creating tessellations with simple shapes or simple composite shapes

  VCMMG229 | Mathematics | Level 6 | Measurement and Geometry | Location and transformation

• VCMNA355

  Define rational and irrational numbers and perform operations with surds and fractional indices

  Elaborations

  • understanding that the real number system includes irrational numbers
  • extending the index laws to rational number indices
  • performing the four operations with surds

  VCMNA355 | Mathematics | Level 10A | Number and Algebra | Real numbers

• VCMSP294

  Identify complementary events and use the sum of probabilities to solve problems

  Elaborations

  • identifying the complement of familiar events
  • understanding that probabilities range between 0 to 1 and that calculating the probability of an event allows the probability of its complement to be found

  VCMSP294 | Mathematics | Level 8 | Statistics and Probability | Chance

• Mathematics: Foundation Level description

  In Foundation level, students play with objects and draw pictures to develop links between their immediate environment, everyday language and mathematical activity.

  Students classify and sort objects into sets and form simple correspondences between them. They decide when two sets are of equal...

  Level description | Mathematics

• Mathematics: Level B achievement standards

  Number and Algebra

  Students participate in everyday activities that involve numbers and counting, comparing groups of objects, and pattern activities. Students can rote count to three. Students identify ‘one’ and ‘lots’ of objects and show an understanding of ‘more...

  Level description | Mathematics | Level B

• 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