### 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 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

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

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

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

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

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

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

• 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

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

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

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

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

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)

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