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 and algebra
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.
Geometry and 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.
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.
Define and use transformations and describe the invariant properties of figures and objects under these transformations.
Apply trigonometric ratios and Pythagoras’ theorem in two dimensions.
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.
Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings.
Compare and describe the variation between theoretical and experimental distributions in situations that involve elements of chance.
Calculate probabilities, using fractions, percentages, and ratios.