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• VCMNA154

  Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9

  Elaborations

  • recognising that number sequences can be extended indefinitely, and determining any patterns in the sequences

  VCMNA154 | Mathematics | Level 4 | Number and Algebra | Number and place value

• VCMNA281

  Simplify algebraic expressions involving the four operations

  Elaborations

  • understanding that the laws used with numbers can also be used with algebra

  VCMNA281 | Mathematics | Level 8 | Number and Algebra | Patterns and algebra

• VCMNA276

  Solve problems involving the use of percentages, including percentage increases and decreases and percentage error, with and without digital technologies

  Elaborations

  • using percentages to solve problems, including those involving mark-ups, discounts, and GST
  • using percentages to calculate population increases and decreases
  • using percentage error to compare relative size of error in calculations involving a given or actual value, and an estimated or measured value

  VCMNA276 | Mathematics | Level 8 | Number and Algebra | Real numbers

• Mathematics: Level 2 achievement standards

  Number and Algebra

  Students count to and from, and order numbers up to 1000. They perform simple addition and subtraction calculations, using a range of strategies. They find the total value of simple collections of Australian notes and coins. Students represent multiplication and division by grouping...

  Level description | Mathematics | Level 2

• Mathematics: Level 3 achievement standards

  Number and Algebra

  Students count and order numbers to and from 10 000. They recognise the connection between addition and subtraction, and solve problems using efficient strategies for multiplication with and without the use of digital technology. Students recall addition and multiplication facts...

  Level description | Mathematics | Level 3

• 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

• 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

• 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

• 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

• VCMNA110

  Recognise and interpret common uses of halves, quarters and eighths of shapes and collections

  Elaborations

  • recognising that sets of objects can be partitioned in different ways to demonstrate fractions
  • relating the number of parts to the size of a fraction

  VCMNA110 | Mathematics | Level 2 | Number and Algebra | Fractions and decimals

• 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

• 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

• VCMNA093

  Investigate and describe number patterns formed by skip counting and patterns with objects

  Elaborations

  • using place-value patterns beyond the teens to generalise the number sequence and predict the next number
  • investigating patterns in the number system, such as the occurrence of a particular digit in the numbers to 100

  VCMNA093 | Mathematics | Level 1 | Number and Algebra | Patterns and algebra

• VCMNA285

  Plot graphs of non-linear real life data with and without the use of digital technologies, and interpret and analyse these graphs

  Elaborations

  • investigating different combinations of length and width of a rectangle for a fixed area, and drawing the corresponding graph
  • using graphs to analysing change in the value of a currency against another currency over a specified period

  VCMNA285 | Mathematics | Level 8 | Number and Algebra | Linear and non-linear relationships

• VCMNA114

  Apply repetition in arithmetic operations, including multiplication as repeated addition and division as repeated subtraction

  Elaborations

  • using technology to construct a sequence of numbers based on constant addition or subtraction from a given starting value
  • sharing a set of objects equally between a small number of groups

  VCMNA114 | Mathematics | Level 2 | Number and Algebra | Patterns and algebra

• VCMNA139

  Use a function machine and the inverse machine as a model to apply mathematical rules to numbers or shapes

  Elaborations

  • finding and describing simple rules in words to solve problems
  • using simple function machines to represent and apply a process or the inverse process, such as increase or decrease the value of a number by a specified amount

  VCMNA139 | Mathematics | Level 3 | Number and Algebra | Patterns and algebra

• VCMNA358

  Devise and use algorithms and simulations to solve mathematical problems

  Elaborations

  • applying a systematic guess-check-and-refine algorithm to identify an approximate value for the root of an equation in an interval
  • developing simulations for counter-intuitive problems in probability such as the Monty Hall problem or derangements

  VCMNA358 | Mathematics | Level 10A | Number and Algebra | Patterns and algebra

• VCMSP373

  Use digital technology to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation, make predictions based on this straight line and discuss limitations

  Elaborations

  • investigating different techniques for finding a ‘line of best fit’
  • using a fitted line to data to make predictions between and beyond existing data value sand discuss limitations of these predictions

  VCMSP373 | Mathematics | Level 10A | Statistics and Probability | Data representation and interpretation

• 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