Curriculum+Level+5+Mathematics+and+statistics

=Curriculum levels=

=Level Five Mathematics and Statistics= In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:

Number strategies and knowledge
• Reason with linear proportions. • Use prime numbers, common factors and multiples, and powers (including square roots). • Understand operations on fractions, decimals, percentages, and integers. • Use rates and ratios. • Know commonly used fraction, decimal, and percentage conversions. • Know and apply standard form, significant figures, rounding, and decimal place value.

Equations and expressions
• Form and solve linear and simple quadratic equations.

Patterns and relationships
• Generalise the properties of operations with fractional numbers and integers. • Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.

Measurement
• Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate. • Convert between metric units, using decimals. • Deduce and use formulae to find the perimeters and areas of polygons and the volumes of prisms. • Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders.

Shape
• Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties. • Create accurate nets for simple polyhedra and connect three-dimensional solids with different two-dimensional representations.

Position and orientation
• Construct and describe simple loci. • Interpret points and lines on co-ordinate planes, including scales and bearings on maps.

Transformation
• Defi ne and use transformations and describe the invariant properties of figures and objects under these transformations. • Apply trigonometric ratios and Pythagoras’ theorem in two dimensions.

Statistical investigation
• 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, variations, relationships, and trends in multivariate data sets; – comparing sample distributions visually, using measures of centre, spread, and proportion; – presenting a report of findings.

Statistical literacy
• Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings.

Probability
• Compare and describe the variation between theoretical and experimental distributions in situations that involve elements of chance. • Calculate probabilities, using fractions, percentages, and ratios.