Level 6: Level statement Students compare and order rational numbers and use scientific notation as a short-hand method of representing very large or very small numbers. They develop personal plans, consider financial options and monitor financial situations using available information. Students use a range of computation methods and strategies to solve problems that involve rational numbers, rates, ratios and direct and inverse proportions. Core learning outcome: N 6.2 Students identify and solve addition and subtraction problems involving rational numbers using a range of computation methods and strategies. Elaborations To support investigations that emphasise thinking, reasoning and working mathematically Core content — Students know: Students may: Addition and subtraction how to identify situations explain whether an exact or approximate answer is required rational numbers involving rational numbers that select and justify computation methods and strategies used to solve problems Connections require addition or subtraction, check reasonableness of solutions inverse (backtracking) or both check solutions using alternative computation methods for solving problems mental computation strategies Mental computation strategies pose and solve real-life problems involving addition and subtraction of rational numbers. and computation methods for relevant to integers and whole solving addition and numbers, common fractions and subtraction problems involving decimal fractions rational numbers generalisations about addition and how to solve addition and subtraction subtraction problems involving Computation methods rational numbers. mental computations exact approximate written recordings student-generated traditional methods calculators, computers At each level, investigations should occur in a range of contexts. For example, students could investigate: weather patterns such as the Southern Oscillation Index financial transactions involving profit and loss bank balances temperatures in outer space exploration of outer space water usage in domestic and commercial situations mass of electrons.
Level 6: Level statement Students compare and order rational numbers and use scientific notation as a short-hand method of representing very large or very small numbers. They develop personal plans, consider financial options and monitor financial situations using available information. Students use a range of computation methods and strategies to solve problems that involve rational numbers, rates, ratios and direct and inverse proportions. Core learning outcome: N 6.2 Students identify and solve addition and subtraction problems involving rational numbers using a range of computation methods and strategies. Elaborations — To support investigations that emphasise thinking, reasoning and working mathematically Core content Students know: how to identify situations involving rational numbers that require addition or subtraction, or both mental computation strategies and computation methods for solving addition and subtraction problems involving rational numbers how to solve addition and subtraction problems involving rational numbers. Students may: explain whether an exact or approximate answer is required select and justify computation methods and strategies used to solve problems check reasonableness of solutions check solutions using alternative computation methods for solving problems pose and solve real-life problems involving addition and subtraction of rational numbers. Addition and subtraction rational numbers Connections inverse (backtracking) Mental computation strategies relevant to integers and whole numbers, common fractions and decimal fractions generalisations about addition and subtraction Computation methods mental computations exact approximate written recordings student-generated traditional methods calculators, computers At each level, investigations should occur in a range of contexts. For example, students could investigate: weather patterns such as the Southern Oscillation Index financial transactions involving profit and loss bank balances temperatures in outer space exploration of outer space water usage in domestic and commercial situations mass of electrons.