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 4
A student:

end of STAGE 4
A student:

UNDERSTANDING MATHEMATICAL INFORMATION IN TEXTS AND TASKS
  • Interprets and comprehends a range of everyday mathematical information in texts, tables and diagrams in familiar and unfamiliar contexts
  • Understands index notation e.g. 24 and uses square root and cube root symbols

 

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  • Extracts, interprets and comprehends a range of mathematical information in texts, tables, diagrams and graphs in familiar and unfamiliar contexts
  • Uses π in calculations

 

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APPLYING WHOLE NUMBER CONCEPTS
  • Understands positive and negative numbers of any size
  • Compares and orders positive and negative integers
  • Sequences both positive and negative events, measurements and temperatures

 

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  • Interprets and comprehends a range of mathematical information involving positive and negative numbers of any size in familiar contexts

 

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ESTIMATING AND PROBLEM SOLVING
  • Solves complex problems, estimates the solution, checks the solution for accuracy and provides reasons for the solution

 

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  • Solves complex problems, estimates the solutions, checks the solutions for accuracy, provides reasons for the solutions and communicates the mathematical thinking

 

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APPLYING ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION
  • Interprets and comprehends complex problems involving addition and subtraction in unfamiliar contexts involving numbers of any size
  • Understands whole numbers as the products of primes, e.g. 12 = 2 x 3 x 2
  • Calculates square roots and cube roots
  • Uses integers to solve problems and checks reasonableness of solutions

 

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  • Uses concepts of addition and subtraction in relation to variables
  • Uses zero and positive indices Understands irrational numbers
  • Combines strategies to solve problems involving rational numbers and integers
  • Calculates with very small and large numbers, including those in scientific notation
  • Solves complex problems by estimating and calculating using efficient strategies

 

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UNDERSTANDING FRACTIONS, DECIMALS, PERCENTAGES, RATES, RATIOS
  • Solves problems involving a range of fractions, mixed numbers and unrelated denominators
  • Finds percentages of a quantity
  • Operates with simple ratios
  • Rounds decimals

 

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  • Solves problems involving percentage increase and decrease
  • Understands terminating and recurring decimals
  • Understands, calculates and interprets ratios and rates problems

 

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UNDERSTANDING MONEY AND FINANCE
  • Performs calculations involving GST and discounts and calculates the unit cost of products

 

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  • Identifies and justifies best buys
  • Solves problems involving profit and loss

 

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KLA APPLICATION AND CONSIDERATIONS

VISUAL ARTS

  • Converts currency for authentic tasks, e.g. you have A$50 to spend on presents for your family while travelling in a different country

VISUAL ARTS

  • Uses fractions to represent parts of beats in listening, performance and composition

GEOGRAPHY

  • Calculates the difference between maximum and minimum temperatures over a period of time
  • Uses topographic maps to calculate gradients and altitudes and develop cross sections
  • Uses data to infer relationships, patterns and trends from geographical inquiry

HISTORY

  • Sequences numbers and understands chronology
  • Describes different perceptions of time across cultures and civilisations
  • Relates strata to the dating of archaeological finds
  • Calculates number of years between two dates on BCE and CE timelines

PDHPE

  • Calculates heart rates, kilojoule intakes, serving sizes and weekly meal plans
  • Adds and subtracts integers when scoring in games
  • Understands the court space and uses fractions such as halves and quarters and thirds to describe positions

TAS

  • Creates budgets
  • Uses ratios and fractions to adjust quantities in recipes

SCIENCE

  • Calculates density as mv (massvolume)

 

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LANGUAGES

  • Reads a menu in the target language and calculates total costs, discounts and percentages, e.g. for tipping
  • Extracts, interprets and comprehends a range of mathematical information in the target language from texts, tables, diagrams and graphs in a range of contexts, e.g. weather charts, TV guides, timetables
  • Creates budgets and costs items in a foreign currency, e.g. shopping for souvenirs

CREATIVE ARTS

  • Calculates a mix of paint according to a ratio Uses fractions to represent the impact of contrast

GEOGRAPHY

  • Compares large urban areas of Australia with the USA, e.g. location, population, spatial distribution, boundary divisions and major landform features

HISTORY

  • Compares demographic data using graphs, percentages and numbers of any magnitude

MUSIC

  • Calculates the length of musical segments to fit timeframes in multimedia presentations

SCIENCE

  • Measures volume of water in a container before and after rainfall

 

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