Level 5
Outcomes
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Number and Algebra
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Number Strategies and Knowledge
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Reason with linear proportions
Reason with linear proportionsExamples
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Use prime numbers, common factors and multiples, and powers (including square roots)
Use prime numbers, common factors and multiples, and powers (including square roots)Play Activities 140Examples
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Understand operations on fractions, decimals, percentages, and integers
Understand operations on fractions, decimals, percentages, and integersPlay Activities 714Examples
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Use rates and ratios
Use rates and ratiosPlay Activities 188Examples
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Know commonly used fraction, decimal, and percentage conversions
Know commonly used fraction, decimal, and percentage conversionsExamples
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Know and apply standard form, significant figures, rounding, and decimal place value
Know and apply standard form, significant figures, rounding, and decimal place valuePlay Activities 174Examples
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Reason with linear proportions
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Equations and Expressions
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Form and solve linear and simple quadratic equations
Form and solve linear and simple quadratic equationsExamples
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Form and solve linear and simple quadratic equations
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Patterns and Relationships
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Generalise the properties of operations with fractional numbers and integers
Generalise the properties of operations with fractional numbers and integersExamples
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Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns
Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patternsExamples
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Generalise the properties of operations with fractional numbers and integers
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Number Strategies and Knowledge
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Geometry and Measurement
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Measurement
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Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate
Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximateExamples
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Convert between metric units, using decimals
Convert between metric units, using decimalsExamples
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Deduce and use formulae to find the perimeters and areas of polygons and the volumes of prisms
Deduce and use formulae to find the perimeters and areas of polygons and the volumes of prismsExamples
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Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders
Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylindersExamples
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Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate
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Shape
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Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties
Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these propertiesExamples
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Create accurate nets for simple polyhedra and connect three-dimensional solids with different two-dimensional representations
Create accurate nets for simple polyhedra and connect three-dimensional solids with different two-dimensional representationsExamples
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Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties
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Position and Orientation
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Construct and describe simple loci
Construct and describe simple lociExamples
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Interpret points and lines on co-ordinate planes, including scales and bearings on maps
Interpret points and lines on co-ordinate planes, including scales and bearings on mapsExamples
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Construct and describe simple loci
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Transformation
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Define and use transformations and describe the invariant properties of figures and objects under these transformations
Define and use transformations and describe the invariant properties of figures and objects under these transformationsExamples
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Apply trigonometric ratios and Pythagoras' theorem in two dimensions
Apply trigonometric ratios and Pythagoras' theorem in two dimensionsExamples
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Define and use transformations and describe the invariant properties of figures and objects under these transformations
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Measurement
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Statistics
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Statistical Investigation
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Plan and conduct surveys and experiments using the statistical enquiry cycle: determining appropriate variables and measures; considering sources of variation; gathering and cleaning data; using multiple displays, and re-categorising data to find patterns
Plan and conduct surveys and experiments using the statistical enquiry cycle: determining appropriate variables and measures; considering sources of variation; gathering and cleaning data; using multiple displays, and re-categorising data to find patternsExamples
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Plan and conduct surveys and experiments using the statistical enquiry cycle: determining appropriate variables and measures; considering sources of variation; gathering and cleaning data; using multiple displays, and re-categorising data to find patterns
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Statistical Literacy
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Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings
Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findingsExamples
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Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings
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Probability
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Calculate probabilities, using fractions, percentages, and ratios
Calculate probabilities, using fractions, percentages, and ratiosExamples
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Calculate probabilities, using fractions, percentages, and ratios
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Statistical Investigation