Math Games

Measurement
• Measure at a level of precision appropriate to the task.
• Apply the relationships between units in the metric system, including the units for measuring different attributes and derived measures.
• Calculate volumes, including prisms, pyramids, cones, and spheres, using formulae.

Shape
• Deduce and apply the angle properties related to circles.
• Recognise when shapes are similar and use proportional reasoning to fi nd an unknown length.
• Use trigonometric ratios and Pythagoras’ theorem in two and three dimensions.

Position and orientation
• Use a co-ordinate plane or map to show points in common and areas contained by two or more loci.

Transformation
• Compare and apply single and multiple transformations.
• Analyse symmetrical patterns by the transformations used to create them.

Number strategies and knowledge
• Apply direct and inverse relationships with linear proportions.
• Extend powers to include integers and fractions.
• Apply everyday compounding rates.
• Find optimal solutions, using numerical approaches.

Equations and expressions
• Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns.

Patterns and relationships
• Generalise the properties of operations with rational numbers, including the properties of exponents.
• Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns.
• Relate rate of change to the gradient of a graph.

Statistical investigation
• 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, relationships between variables, and differences within and between distributions), using multiple displays;
– making informal inferences about populations from sample data;
– justifying findings, using displays and measures

Statistical literacy
• Evaluate statistical reports in the media by relating the displays, statistics, processes, and probabilities used to the claims made.

Probability
• Investigate situations that involve elements of chance:
– comparing discrete theoretical distributions and experimental distributions, appreciating the role of sample size;
– calculating probabilities in discrete situations.