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• VCMMG264

  Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal

  Elaborations

  • defining and classifying pairs of angles as complementary, supplementary, adjacent and vertically opposite

  VCMMG264 | Mathematics | Level 7 | Measurement and Geometry | Geometric reasoning

• 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

• VCMMG261

  Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries

  Elaborations

  • describing patterns and investigating different ways to produce the same transformation such as using two successive reflections to provide the same result as a translation
  • creating and re-creating patterns using combinations of reflections and rotations, using digital technologies

  VCMMG261 | Mathematics | Level 7 | Measurement and Geometry | Location and transformation

• VCMMG260

  Draw different views of prisms and solids formed from combinations of prisms

  Elaborations

  • using aerial views of buildings and other 3-D structures to visualise the structure of the building or prism

  VCMMG260 | Mathematics | Level 7 | Measurement and Geometry | Shape

• 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

• VCMMG263

  Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral

  Elaborations

  • using concrete materials and digital technologies to investigate the angle sum of a triangle and quadrilateral

  VCMMG263 | Mathematics | Level 7 | Measurement and Geometry | Geometric reasoning

• 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

• VCMMG262

  Classify triangles according to their side and angle properties and describe quadrilaterals

  Elaborations

  • identifying side and angle properties of scalene, isosceles, right-angled and obtuse-angled triangles
  • describing squares, rectangles, rhombuses, parallelograms, kites and trapeziums

  VCMMG262 | Mathematics | Level 7 | Measurement and Geometry | Geometric reasoning

• 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

• VCMNA243

  Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

  Elaborations

  • exploring and developing efficient strategies to solve additive problems involving fractions (for example by using fraction walls or rectangular arrays with dimensions equal to the denominators)

  VCMNA243 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA248

  Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.

  Elaborations

  • using authentic problems to express quantities as percentages of other amounts

  VCMNA248 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA242

  Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line

  Elaborations

  • exploring equivalence among families of fractions by using a fraction wall or a number line (for example by using a fraction wall to show that 2/3 is the same as 4/6 and 6/9)

  VCMNA242 | Mathematics | Level 7 | Number and Algebra | Real numbers

• 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

• VCMNA246

  Round decimals to a specified number of decimal places

  Elaborations

  • using rounding to estimate the results of calculations with whole numbers and decimals, and understanding the conventions for rounding

  VCMNA246 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA247

  Connect fractions, decimals and percentages and carry out simple conversions

  Elaborations

  • justifying choices of written, mental or calculator strategies for solving specific problems including those involving large numbers
  • understanding that quantities can be represented by different number types and calculated using various operations, and that choices need to be made about each
  • calculating the percentage of the total local municipal area set aside for parkland, manufacturing, retail and residential dwellings to compare land use

  VCMNA247 | Mathematics | Level 7 | Number and Algebra | Real numbers

• 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

• VCMNA255

  Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point

  Elaborations

  • plotting points from a table of integer values and recognising simple patterns, such as points that lie on a straight line

  VCMNA255 | Mathematics | Level 7 | Number and Algebra | Linear and non-linear relationships

• VCMNA256

  Solve simple linear equations

  Elaborations

  • solving equations using concrete materials, such as the balance model, and explain the need to do the same thing to each side of the equation using substitution to check solutions
  • investigating a range of strategies to solve equations

  VCMNA256 | Mathematics | Level 7 | Number and Algebra | Linear and non-linear relationships

• VCMNA257

  Investigate, interpret and analyse graphs from real life data, including consideration of domain and range

  Elaborations

  • using travel graphs to investigate and compare the distance travelled to and from school
  • interpreting features of travel graphs such as the slope of lines and the meaning of horizontal lines
  • using graphs of evaporation rates to explore water storage
  • describing and comparing temperature during a day at different times of the year from the corresponding graphs

  VCMNA257 | Mathematics | Level 7 | Number and Algebra | Linear and non-linear relationships

• VCMNA240

  Apply the associative, commutative and distributive laws to aid mental and written computation and make estimates for these computations

  Elaborations

  • simplifying calculations
  • forming simple estimates for calculations involving multiple and/or combined operations

  VCMNA240 | Mathematics | Level 7 | Number and Algebra | Number and place value