 • 6
Year 6 Standards
Top Mathematicians
• Geometry & Measurement
• 6.GM.1.1
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.
• 6.GM.1.2
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.
• 6.GM.1.3
Position and orientation
Use a co-ordinate plane or map to show points in common and areas contained by two or more loci.
• 6.GM.1.4
Transformation
Compare and apply single and multiple transformations.
Analyse symmetrical patterns by the transformations used to create them.
• Number and Algebra
• 6.NA.1.1
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.
• 6.NA.1.2
Equations and expressions
Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns.
• 6.NA.1.3
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.
• Statistics
• 6.S.1.1
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
• 6.S.1.2
Statistical literacy
Evaluate statistical reports in the media by relating the displays, statistics, processes, and probabilities used to the claims made.
• 6.S.1.3
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.