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

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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 ÷

• Identifies simple mathematical information in texts, tables and diagrams

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

• 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

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

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

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

• 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

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

• 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

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

• Solves word problems involving money

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

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

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