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• VC2M7M05

  demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles

  Elaborations

  • using concrete materials to demonstrate that the sum of the interior angles of a triangle is 180°; for example, using paper triangles and tearing to demonstrate that the interior angles when combined form 180°
  • using decomposition and the angle sum of a triangle to generalise the interior angle sum of an n-sided polygon, as 180n-2=180n-360

  VC2M7M05 | Mathematics | Mathematics Version 2.0 | Level 7 | Measurement

• VC2M8N04

  use the 4 operations with integers and with rational numbers, choosing and using efficient mental and written strategies, and digital tools where appropriate, and making estimates for these computations

  Elaborations

  • using patterns to assist in establishing the rules for the multiplication and division of integers
  • applying and explaining efficient strategies such as using the commutative or associative property for regrouping, partitioning, place value, patterning, multiplication or division facts to solve problems involving positive and negative integers, fractions and decimals
  • recognising the effect of sign in the multiplication of integers, for example, (-1)4=1 and (-1)5=-1

  VC2M8N04 | Mathematics | Mathematics Version 2.0 | Level 8 | Number

• VC2M7N08

  compare, order and solve problems involving addition and subtraction of integers

  Elaborations

  • using less-than and greater-than notation in expressions when comparing and ordering integers; for example, negative 5 is less than positive 2 and can be represented as -5<+2; -3>-6
  • discussing language such as ‘addition’, ‘subtraction’, ‘magnitude’, ‘difference’ and ‘sign’ and synonyms of these terms
  • ordering, adding and subtracting integers using a number line

  VC2M7N08 | Mathematics | Mathematics Version 2.0 | Level 7 | Number

• Drama: Foundation Level description

  In Foundation, students explore drama and learn about how they can make drama to communicate ideas and stories. They share their drama with peers and experience drama as audiences.

  Students are introduced to processes that assist them to make drama about real and imagined situations. They learn...

  Level description | The Arts | Drama

• VC2M7A03

  solve one-variable linear equations of increasing complexity with natural number solutions; verify equation solutions by substitution

  Elaborations

  • recognising that solving an equation is a process of determining a value that makes the equation true; and using substitution to determine whether a given number is a solution to an equation or not
  • solving equations using concrete materials, the balance model and backtracking, explaining the process
  • solving linear equations such as 3x+7=19 algebraically, and verifying the solution by substitution

  VC2M7A03 | Mathematics | Mathematics Version 2.0 | Level 7 | Algebra

• VC2M5N04

  recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents

  Elaborations

  • recognising applications of percentages used in everyday contexts, for example, the bar model used for charging devices indicating the percentage of power remaining, and advertising in retail contexts relating to discounts or sales
  • creating a model by subdividing a whole (for example, using 10 × 10 grids to represent various percentage amounts) and recognising complementary percentages (such as 30% and 70%) combine to make 100%
  • creating a model by subdividing a collection of materials, such as blocks or money, to connect decimals and percentage equivalents of tenths and the commonly used fractions 12, 14 and 34; for example, connecting that one-tenth or 0.1 represents 10% and one-half or 0.5 represents 50%, and recognising that 60% of a whole is 10% more of the whole than 50%
  • using physical and virtual materials to represent the relationship between decimal notation and percentages, for example, 0.3 is 3 out of every 10, which is 30 out of every 100, which is 30%

  VC2M5N04 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• VC2M8P01

  recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts

  Elaborations

  • understanding that knowing the probability of an event allows the probability of its complement to be found, including for those events that are not equally likely, such as getting a specific novelty toy in a supermarket promotion
  • using the relationship that for a single event A, Pr(A) + Pr(not A) = 1; for example, if the probability that it rains on a particular day is 80%, the probability that it does not rain on that day is 20%, or the probability of not getting a 6 on a single roll of a fair dice is 1-16=56
  • using the sum of probabilities to solve problems, such as the probability of starting a game by throwing a 5 or 6 on a dice is 13 and probability of not throwing a 5 or 6 is 23

  VC2M8P01 | Mathematics | Mathematics Version 2.0 | Level 8 | Probability

• Technologies | Digital Technologies: Learning in Digital Technologies

  In Digital Technologies, students are actively engaged in the processes of analysing problems and opportunities, designing, developing and evaluating digital solutions, and creating and sharing information that meets a range of current and future needs. Students learn to safely and ethically exploit...

  Overview material | Digital Technologies

• English | English: Structure

  The English curriculum is organised by language modes and strands.

  Language Modes

  The language modes are interrelated and the learning in one often supports and extends learning of the others. Each content description has been placed in the mode which is the major focus of its learning.

  Classroom...

  Overview material | English

• VC2M10AP01

  explore counting principles, and factorial notation as a representation that provides efficient counting in multiplicative contexts, including calculations of probabilities

  Elaborations

  • applying the multiplication principle to problems involving combinations including probabilities relating to sampling with and without replacement, and representing these using tree diagrams
  • understanding that a set with n elements has 2ⁿ different subsets formed by considering each element for inclusion or not in combination, and that these can be systematically listed using a tree diagram or a table; for example, the set {a, b, c} has 2³ = 8 subsets which are { ∅, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}}
  • using the definition of n! to represent and calculate in contexts that involve choices from a set; for example, how many different combinations of 3 playing cards from a pack? How many if the suits are ignored? How many with and without replacement?
  • performing calculations on numbers expressed in factorial form, such as n!r! to evaluate the number of possible arrangements of n objects in a row, r of which are identical; for example, 5 objects, 3 of which are identical, can be arranged in a row in
    5!3!=5×4×3×2×13×2×1= 20 different ways

  VC2M10AP01 | Mathematics | Mathematics Version 2.0 | Level 10A | Probability

• VC2M9A02

  simplify algebraic expressions, apply the distributive law to expand algebraic expressions including binomial products, and factorise monic quadratic expressions

  Elaborations

  • expanding combinations of binomials such as x+7x+8, x+7x-8,  x-7x+8,  (x-7)(x-8) to identify expansion and factorisation patterns related to x+ax+b=x2+a+bx+ab, where a and b are integers
  • using manipulatives such as algebra tiles or area models to expand or factorise algebraic expressions with readily identifiable binomial factors; for example, x+1x+3=x2+4x+3, (x-5)2=x2-10x+25 or (x-3)2+4=x2-6x+9+4=x2-6x+13
  • recognising the relationship between expansion and factorisation, and using digital tools to systematically explore the factorisation of x2+mx+n where m and n are integers

  VC2M9A02 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra

• Chinese - First Language Learner - 7–10 Sequence: Levels 9 and 10 achievement standards

  By the end of Level 10, students sustain extended interactions with diverse individuals and groups, selecting spoken and written language for precision and for effect on participants. Students collate and evaluate a range of spoken, written and multimodal sources to convey different perspectives...

  Level description | Languages | Chinese | First Language Learner | 7–10 Sequence | Levels 9 and 10

• Music: Levels 3 and 4 description

  In Levels 3 and 4, learning in Music involves students making and responding to music independently and collaboratively with their peers and teachers.

  Students extend their understanding of the elements of music and their ability to interact with other musicians as they develop their music knowledge...

  Level description | The Arts | Music

• Auslan - First Language Learner - F–10 Sequence: Levels 3 and 4 achievement standards

  By the end of Level 4, students communicate with each other, the teaching team and others about aspects of their personal worlds, daily routines, preferences and pastimes at school and in the Deaf community. They show aspectual marking on verbs to indicate frequency when communicating about daily...

  Level description | Languages | Auslan | First Language Learner | F–10 Sequence | Levels 3 and 4

• 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

• Geography: Level C achievement standards

  By the end of Level C, students label personally significant places and what they do in the place. Students demonstrate a few ways they can care for a familiar place by creating a simple rule for this place.

  Students observe the familiar features of places and assist to represent these features...

  Level description | The Humanities | Geography | Level C

• Indonesian - F–10 Sequence: Levels 3 and 4 description

  Students participate orally in classroom routines and tasks. They respond to teacher-generated questions about texts. Students undertake word building and language exercises. They participate in shared reading and create texts using modelled language.

  Students become increasingly aware that Indonesian...

  Level description | Languages | Indonesian | F–10 Sequence

• Media Arts: Levels 3 and 4 achievement standards

  By the end of Level 4, students describe similarities and differences between media artworks they make and view. They discuss how and why they and others use images, sound and text to make and present media artworks. They identify the characteristics of audiences who view media artworks and the...

  Level description | The Arts | Media Arts | Levels 3 and 4

• Music: Levels 9 and 10 achievement standards

  By the end of Level 10, students interpret, rehearse and perform solo and ensemble repertoire in a range of forms and styles. They demonstrate a developing personal voice and technical control, expression and stylistic understanding. They use general listening and specific aural skills to enhance...

  Level description | The Arts | Music | Levels 9 and 10

• Music: Levels 5 and 6 achievement standards

  By the end of Level 6, students use the elements of music, their voices, instruments and technologies to improvise, arrange, compose and perform music. They sing and play music in different styles and use music terminology, demonstrating listening, technical and expressive skills, performing with...

  Level description | The Arts | Music | Levels 5 and 6