Level 6
Outcomes
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Number and Algebra
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Number Strategies and Knowledge
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Apply direct and inverse relationships with linear proportions
Apply direct and inverse relationships with linear proportionsPlay Activities 188Examples
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Extend powers to include integers and fractions
Extend powers to include integers and fractionsExamples
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Find optimal solutions, using numerical approaches
Find optimal solutions, using numerical approachesExamples
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Apply direct and inverse relationships with linear proportions
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Equations and Expressions
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Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns
Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknownsExamples
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Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns
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Patterns and Relationships
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Generalise the properties of operations with rational numbers, including the properties of exponents
Generalise the properties of operations with rational numbers, including the properties of exponentsExamples
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Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns
Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patternsExamples
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Relate rate of change to the gradient of a graph
Relate rate of change to the gradient of a graphExamples
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Generalise the properties of operations with rational numbers, including the properties of exponents
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Number Strategies and Knowledge
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Geometry and Measurement
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Measurement
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Calculate volumes, including prisms, pyramids, cones, and spheres, using formulae
Calculate volumes, including prisms, pyramids, cones, and spheres, using formulaeExamples
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Calculate volumes, including prisms, pyramids, cones, and spheres, using formulae
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Shape
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Deduce and apply the angle properties related to circles
Deduce and apply the angle properties related to circlesExamples
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Recognise when shapes are similar and use proportional reasoning to find an unknown length
Recognise when shapes are similar and use proportional reasoning to find an unknown lengthExamples
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Use trigonometric ratios and Pythagoras' theorem in two and three dimensions
Use trigonometric ratios and Pythagoras' theorem in two and three dimensionsExamples
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Deduce and apply the angle properties related to circles
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Transformation
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Compare and apply single and multiple transformations
Compare and apply single and multiple transformationsExamples
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Analyse symmetrical patterns by the transformations used to create them
Analyse symmetrical patterns by the transformations used to create themExamples
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Compare and apply single and multiple transformations
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Measurement
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Statistics
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Statistical Investigation
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Plan and conduct investigations using the statistical enquiry cycle: justifying the variables and measures used; managing sources of variation, including through the use of random sampling; identifying and communicating features in context (trends, relati
Plan and conduct investigations using the statistical enquiry cycle: justifying the variables and measures used; managing sources of variation, including through the use of random sampling; identifying and communicating features in context (trends, relatiExamples
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Plan and conduct investigations using the statistical enquiry cycle: justifying the variables and measures used; managing sources of variation, including through the use of random sampling; identifying and communicating features in context (trends, relati
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Statistical Investigation