FOCUS AREA 1: Mental computation and numerical reasoning
A student identifies mathematical information, understands numbers, calculates, estimates and solves problems

ASPECTS OF NUMERACY FOCUS AREA 1

early in STAGE 5
A student:

end of STAGE 5
A student:

UNDERSTANDING MATHEMATICAL INFORMATION IN TEXTS AND TASKS
  • Extracts, interprets and comprehends a range of mathematical information in texts, tables, diagrams and graphs in familiar and unfamiliar contexts


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  • Extracts, comprehends and analyses a range of mathematical information in complex texts, diagrams and tasks in familiar and unfamiliar contexts


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APPLYING WHOLE NUMBER CONCEPTS
  • Extracts, interprets and comprehends a range of mathematical information involving positive and negative numbers of any size in unfamiliar contexts


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  • Comprehends and analyses a range of mathematical information involving positive and negative numbers of any size in unfamiliar contexts


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ESTIMATING AND PROBLEM SOLVING


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  • Solves complex problems, estimates the solutions, checks and justifies responses


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  • Solves complex problems in unfamiliar contexts, estimates the solutions, checks the solutions and justifies the responses through mathematical proof


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APPLYING ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION
  • Extracts, comprehends and analyses a range of mathematical information related to number, including rational and irrational numbers
  • Applies index laws to operate with algebraic expressions involving indices
  • Rounds numbers to a number of significant figures
  • Converts between metric units for very large and very small measurements, e.g. digital measurements involving the prefixes nano, micro, mega, giga and tera


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  • Analyses a range of mathematical information related to number
  • Expresses numbers in scientific notation using positive and negative powers of 10


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UNDERSTANDING FRACTIONS, DECIMALS, PERCENTAGES, RATES, RATIOS
  • Recognises direct and indirect proportion and solves problems involving direct proportion


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  • Draws, interprets and analyses graphs of physical phenomena


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UNDERSTANDING MONEY AND FINANCE
  • Solves problems involving earning money, taxation and simple interest


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  • Solves problems involving compound interest and depreciation


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KLA APPLICATION AND CONSIDERATIONS

HISTORY

  • Outlines, represents and explains population movements, e.g. movement from country villages to towns and cities and emigration to other countries
  • Finds the time difference between two events
  • Explains reasons for the development of different perceptions of time across cultures and civilisations
  • Explains the effects of global events (including wars) using graphs, percentages and numbers of any magnitude as historical evidence

SCIENCE

  • Calculates speed as d(distance ÷ time)


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SCIENCE

  • Uses appropriate scales to describe differences in sizes of and distance between structures making up the universe

GEOGRAPHY

  • Analyses topographic maps, gradients, altitudes and cross sections to draw conclusions Uses data as evidence to explain relationships, patterns and trends from geographical inquiry

HISTORY

  • Uses a range of sources to explain how the growths of cities, population and industries have effected the environment in Australia and the world


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