 • 7
Year 7 Standards
Top Mathematicians
• Statistics
• 7.S.1.1
Statistical investigation
Carry out investigations of phenomena, using the statistical enquiry cycle:
– conducting surveys that require random sampling techniques, conducting experiments, and using existing data sets;
– evaluating the choice of measures for variables and the sampling and data collection methods used;
– using relevant contextual knowledge, exploratory data analysis, and statistical inference.
Make inferences from surveys and experiments:
– making informal predictions, interpolations, and extrapolations;
– using sample statistics to make point estimates of population parameters;
– recognising the effect of sample size on the variability of an estimate.
• 7.S.1.2
Statistical literacy
Evaluate statistically based reports:
– interpreting risk and relative risk;
– identifying sampling and possible non-sampling errors in surveys, including polls.
• 7.S.1.3
Probability
Investigate situations that involve elements of chance:
– comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions;
– calculating probabilities, using such tools as two-way tables, tree diagrams, simulations, and technology.
• Mathematics
• 7.MA.1.1
Patterns and relationships
Apply co-ordinate geometry techniques to points and lines.
Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs.
Use arithmetic and geometric sequences and series.
Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions.
Choose appropriate networks to fi nd optimal solutions.
• 7.MA.1.2
Equations and expressions
Manipulate rational, exponential, and logarithmic algebraic expressions.
Form and use linear, quadratic, and simple trigonometric equations.
Form and use pairs of simultaneous equations, one of which may be non-linear.
• 7.MA.1.3
Calculus
Sketch the graphs of functions and their gradient functions and describe the relationship between these graphs.
Apply differentiation and anti-differentiation techniques to polynomials.