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 2
A student:

end of STAGE 2
A student:

UNDERSTANDING MATHEMATICAL INFORMATION IN TEXTS AND TASKS
  • Identifies simple mathematical information in texts and simple tables
  • Recognises and uses the symbols × and ÷

 

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  • Identifies simple mathematical information in texts, tables and diagrams

 

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APPLYING WHOLE NUMBER CONCEPTS
  • Understands numbers of up to four digits
  • Reads, writes, orders and states the place value of digits in numbers of up to four digits
  • Counts forwards and backwards by tens and hundreds from any starting point

 

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  • Understands numbers of up to five digits
  • Reads, writes, orders and states the place value of digits in numbers of up to five digits
  • Records numbers of up to five digits using expanded notation

 

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ESTIMATING AND PROBLEM SOLVING
  • Estimates and checks the solution to a problem
  • Models and applies the associative property for addition e.g. 2 + 3 + 8 = 2 + 8 + 3 = 10 + 3 = 13
  • Models and applies the commutative property for multiplication e.g. 5 x 8 = 8 X 5

 

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  • Estimates the solution to a problem, checks the solution and communicates the mathematical thinking
  • Uses +, - as inverse operations to check calculations

 

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APPLYING ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION
  • Uses a range of mental strategies for addition and subtraction of two-, three- and four-digit numbers
  • Uses the = symbol to record equivalent number sentences
  • Recalls multiplication facts for twos, threes, fives and tens
  • Links multiplication and division using arrays
  • Multiplies one-digit numbers by multiples of 10

 

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  • Uses a range of thinking strategies and algorithms for addition or subtraction of two-, three-, four- and five- digit numbers
  • Recalls multiplication facts up to 10 × 10 fluently and relates multiplication facts to inverse division facts
  • Determines multiples and factors of whole numbers Uses the = symbol to record equivalent number relationships involving multiplication
  • Uses strategies to multiply and divide a two-digit number by a one-digit number, including those that result in a remainder

 

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UNDERSTANDING FRACTIONS, DECIMALS, PERCENTAGES, RATES, RATIOS
  • Represents fractions with denominators of 2, 3, 4, 5 and 8
  • Counts by halves, quarters and thirds, including with mixed numerals
  • Represents fractions on number lines, including number lines that extend beyond 1

 

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  • Finds equivalent fractions with denominators of 2, 4 and 8; 3 and 6; and 5, 10 and 100
  • Applies the place value system to represent tenths and hundredths as decimals
  • Makes connections between fraction and decimal notation
  • Models, compares and represents decimals of one and two decimal places
  • Represents decimals on number lines

 

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UNDERSTANDING MONEY AND FINANCE
  • Performs calculations with money, including calculating equivalent amounts using different denominations

 

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  • Solves word problems involving money

 

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KLA APPLICATION AND CONSIDERATIONS

LANGUAGES

  • Orders coins and/or notes from a different currency according to their value
  • Expresses prices in the target language

HISTORY

  • Interprets the significance of ‘greater than’ and ‘less than’ from timelines

MUSIC

  • Sings songs about number eg. times tables
  • Explores groupings of beats and metre in time signatures
  • Identifies simple note values and the relation to the beat

DANCE

  • Adds movement sequences together
  • Uses additive techniques eg. adding to original moves

VISUAL ARTS

  • Creates symbols to represent numbers in a grid and creates artworks from these symbols
  • Creates symbols in a grid and uses these for artworks
  • Models 12 , 14 , 13 using various media
  • Models arrays using a variety of forms

DRAMA

  • Uses sequences to structure drama
  • Role plays calculations using money

 

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HISTORY

  • Understands the significance of ‘tens of thousands of years’ in a historical context

MUSIC

  • Uses songs and pulse to recall number facts
  • Identifies sequences in musical composition
  • Explore metre and time signature further

DANCE

  • Explore size by expanding on condensing a sequence
  • Explore rhythmic patterns and variety to suit the number of beats

VISUAL ARTS

  • Visually represent fractions
  • Illustrates equivalent fractions and decimals
  • Creates visually, sequences of multiplication facts
  • Explores line and symbol

DRAMA

  • Role plays number problems eg. Odd Squad, Numberjacks problems

 

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