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• Mathematics | Mathematics Version 2.0: Learning in Mathematics Version 2.0

  Learning in Mathematics emphasises the importance of providing opportunities for students to develop proficiency in mathematics. This development of proficiency is achieved in how content is explored or developed, that is, how students experience the thinking and doing of mathematics.

  Proficiency...

  Overview material | Mathematics Version 2.0

• VCMNA245

  Express one quantity as a fraction of another, with and without the use of digital technologies

  Elaborations

  • using examples for the quantities to be expressed and understanding the reasons for the calculations

  VCMNA245 | Mathematics | Level 7 | 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

• Mathematics: Level 9 description

  In Level 9, students develop familiarity with a broader range of non-linear and linear functions and relations, and related algebra and graphs.

  Students apply index laws with integer indices to a range of numerical expressions and extend this to algebraic expressions involving numbers and pro-numerals...

  Level description | Mathematics

• VCMNA156

  Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder

  Elaborations

  • using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder

  VCMNA156 | Mathematics | Level 4 | Number and Algebra | Number and place value

• Mathematics | Mathematics: Rationale and Aims

  The VCAA has published the Victorian Curriculum F–10 Version 2.0. To view the curriculum, familiarisation resources and support material, go to the Victorian Curriculum F–10 Version 2.0 website.
  
  Go to the VCAA website to explore the timeline for familiarisation and implementation of...

  Overview material | Mathematics

• 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

• VCMNA214

  Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers

  Elaborations

  • extending whole-number strategies to explore and develop meaningful written strategies for addition and subtraction of decimal numbers to thousandths
  • exploring and practising efficient methods for solving problems requiring operations on decimals, to gain fluency with calculating with decimals and with recognising appropriate operations

  VCMNA214 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• 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

• 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

• VCMNA250

  Investigate and calculate 'best buys', with and without digital technologies

  Elaborations

  • applying the unitary method to identify ‘best buys’ situations, such as comparing the cost per 100g

  VCMNA250 | Mathematics | Level 7 | Number and Algebra | Money and financial mathematics

• VCMNA209

  Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations

  Elaborations

  • applying strategies already developed for solving problems involving small numbers to those involving large numbers
  • applying a range of strategies to solve realistic problems and commenting on the efficiency of different strategies
  • forming simple single digit estimates with consideration of order of magnitude of the result

  VCMNA209 | Mathematics | Level 6 | Number and Algebra | Number and place value

• VCMNA273

  Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies and make estimates for these computations

  Elaborations

  • using patterns to assist in finding rules for the multiplication and division of integers
  • using the number line to develop strategies for adding and subtracting rational numbers
  • making an estimate for the total of a family weekly grocery bill with consideration of accuracy of the estimate, or for problems involving the circumference and area of a circle

  VCMNA273 | Mathematics | Level 8 | Number and Algebra | Number and place value

• 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

• 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

• VCMMG173

  Create symmetrical patterns, pictures and shapes with and without digital technologies

  Elaborations

  • using stimulus materials such as the motifs in Central Asian textiles, Tibetan artefacts, Indian lotus designs and symmetry in Yolngu or Central and Western Desert art

  VCMMG173 | Mathematics | Level 4 | Measurement and Geometry | Location and transformation

• VCMMG120

  Describe and draw two-dimensional shapes, with and without digital technologies

  Elaborations

  • identifying key features of squares, rectangles, triangles, kites, rhombuses and circles, such as straight lines or curved lines, and counting the edges and corners

  VCMMG120 | Mathematics | Level 2 | Measurement and Geometry | Shape

• VCMNA244

  Multiply and divide fractions and decimals using efficient written strategies and digital technologies

  Elaborations

  • investigating multiplication of fractions and decimals, using strategies including patterning and multiplication as repeated addition, with both concrete materials and digital technologies, and identifying the processes for division as the inverse of multiplication

  VCMNA244 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA283

  Plot linear relationships on the Cartesian plane with and without the use of digital technologies

  Elaborations

  • completing a table of values, plotting the resulting points and determining whether the relationship is linear
  • finding the rule for a linear relationship

  VCMNA283 | Mathematics | Level 8 | Number and Algebra | Linear and non-linear relationships

• VCMNA278

  Solve problems involving profit and loss, with and without digital technologies

  Elaborations

  • expressing profit and loss as a percentage of cost or selling price, comparing the difference
  • investigating the methods used in retail stores to express discounts

  VCMNA278 | Mathematics | Level 8 | Number and Algebra | Money and financial mathematics