### 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 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 >

• 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 %

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

• 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

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

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

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

• 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

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

• 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

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

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

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

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