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 3
A student:

end of STAGE 3
A student:

UNDERSTANDING MATHEMATICAL INFORMATION IN TEXTS AND TASKS
  • Identifies and interprets simple mathematical information in texts, tables and diagrams in familiar and routine contexts
  • Recognises and uses the symbol < and >

 

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  • Identifies and interprets a range of mathematical information in texts, tables and diagrams in non-routine contexts
  • Recognises and uses the symbol ≤ and ≥
  • Recognises and uses the symbol %

 

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APPLYING WHOLE NUMBER CONCEPTS
  • Understands numbers of any size including larger than a million
  • Reads, writes, orders and states the place value of digits in any number
  • Determines factors and multiples of whole numbers

 

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  • Understands positive and negative numbers
  • Orders negative integers of any size
  • Uses order of operations and grouping symbols
  • Locates negative numbers on a number line
  • Identifies and describes prime, composite, square and triangular numbers

 

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ESTIMATING AND PROBLEM SOLVING
  • Estimates the solution to a problem and checks the solution for accuracy

 

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  • Estimates the solution to complex problems, checks the solution for accuracy and communicates the mathematical thinking

 

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APPLYING ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION
  • Selects and applies efficient mental, written and calculator strategies for addition and subtraction
  • Solves word problems and records the strategy used
  • Uses a range of mental and written strategies and algorithms to multiply by one- and two-digit numbers
  • Uses a range of mental and written strategies to divide numbers with three or more digits by a one-digit operator including those that result in a remainder

 

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  • Interprets and comprehends complex problems involving addition and subtraction of whole numbers
  • Applies efficient mental, written and calculator strategies to solve word problems and records the strategy used
  • Interprets remainders and uses estimation to check answers to calculations

 

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UNDERSTANDING FRACTIONS, DECIMALS, PERCENTAGES, RATES, RATIOS
  • Compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12 and 100
  • Expresses mixed numerals as improper fractions and vice versa
  • Models strategies to add and subtract fractions with the same denominator
  • Applies the place value system to represent thousandths as a decimal
  • Compares, orders and represents decimals of up to three decimal places

 

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  • Compares, orders, adds and subtracts fractions with the same denominators and mixed numerals
  • Solves problems involving 10%, 20%, 25%, 50%, 75%
  • Finds equivalent fractions, simplifies and multiplies fractions with whole numbers
  • Adds and subtracts decimals of up to three decimal places, multiplies decimals by one- and two-digit whole numbers
  • Divides decimals by one-digit whole numbers and by 10, 100, 1000

 

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UNDERSTANDING MONEY AND FINANCE
  • Creates a simple budget
  • Uses estimation to check answers to calculations
  • Solves word problems involving money and records the strategies used

 

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  • Calculates with money
  • Creates financial plans and finds savings
  • Solves problems involving money and predicts cost

 

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KLA APPLICATION AND CONSIDERATIONS

HISTORY

  • Uses mathematical language to describe significant historical people and events

MUSIC

  • Continues to explore metre, rhythm and subdivision of beats, including in traditional notation
  • Can identify patterns in number and can invert these
  • Identifies relationship of music to mathematics

DANCE

  • Combines multiple movement sequences

VISUAL ARTS

  • Creates symbols to represent a series of numbers in a grid and uses mathematical equations to create artworks from these symbols
  • Create models of fractions
  • Consider and identify the use of patterns in art and the relationship to number
  • Create artworks incorporating numbers or symbols

DRAMA

  • Role play budgeting and money situations
  • Role play word problems and possible solutions

 

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GEOGRAPHY

  • Investigates differences between countries economic, demographic and social characteristics: population size, density, life expectancy, per capita income, energy consumption

LANGUAGES

  • Understands and adapts a recipe in the target language for different size groups of people
  • Converts currency, e.g. Australian dollars to Euro

MUSIC

  • Continues to develop knowledge of pattern and symbol eg. groupings
  • Notates own music through symbol and explores relationship to traditional notation
  • Aurally identifies symbols and groupings in music

DANCE

  • Explores the relationship of mathematics to dance in routine, sequences and diagrams of movement

VISUAL ARTS

  • Illustrations demonstrate fractions, percentages, decimals including company equivalent fraction
  • Explores symbol in art and environment and relationship to mathematics eg. ∞ , %

DRAMA

  • Role plays complex problems
  • Explores situations involving percentages or fractions eg. shopping

 

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