### 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 5
A student:

end of STAGE 5
A student:

UNDERSTANDING MATHEMATICAL INFORMATION IN TEXTS AND TASKS
• Extracts, interprets and comprehends a range of mathematical information in texts, tables, diagrams and graphs in familiar and unfamiliar contexts

• Extracts, comprehends and analyses a range of mathematical information in complex texts, diagrams and tasks in familiar and unfamiliar contexts

APPLYING WHOLE NUMBER CONCEPTS
• Extracts, interprets and comprehends a range of mathematical information involving positive and negative numbers of any size in unfamiliar contexts

• Comprehends and analyses a range of mathematical information involving positive and negative numbers of any size in unfamiliar contexts

ESTIMATING AND PROBLEM SOLVING

• Solves complex problems, estimates the solutions, checks and justifies responses

• Solves complex problems in unfamiliar contexts, estimates the solutions, checks the solutions and justifies the responses through mathematical proof

APPLYING ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION
• Extracts, comprehends and analyses a range of mathematical information related to number, including rational and irrational numbers
• Applies index laws to operate with algebraic expressions involving indices
• Rounds numbers to a number of significant figures
• Converts between metric units for very large and very small measurements, e.g. digital measurements involving the prefixes nano, micro, mega, giga and tera

• Analyses a range of mathematical information related to number
• Expresses numbers in scientific notation using positive and negative powers of 10

UNDERSTANDING FRACTIONS, DECIMALS, PERCENTAGES, RATES, RATIOS
• Recognises direct and indirect proportion and solves problems involving direct proportion

• Draws, interprets and analyses graphs of physical phenomena

UNDERSTANDING MONEY AND FINANCE
• Solves problems involving earning money, taxation and simple interest

• Solves problems involving compound interest and depreciation

KLA APPLICATION AND CONSIDERATIONS

HISTORY

• Outlines, represents and explains population movements, e.g. movement from country villages to towns and cities and emigration to other countries
• Finds the time difference between two events
• Explains reasons for the development of different perceptions of time across cultures and civilisations
• Explains the effects of global events (including wars) using graphs, percentages and numbers of any magnitude as historical evidence

SCIENCE

• Calculates speed as d(distance ÷ time)

SCIENCE

• Uses appropriate scales to describe differences in sizes of and distance between structures making up the universe

GEOGRAPHY

• Analyses topographic maps, gradients, altitudes and cross sections to draw conclusions Uses data as evidence to explain relationships, patterns and trends from geographical inquiry

HISTORY

• Uses a range of sources to explain how the growths of cities, population and industries have effected the environment in Australia and the world