Statistical investigation • Carry out investigations of phenomena, using the statistical enquiry cycle: – conducting experiments using experimental design principles, conducting surveys, and using existing data sets; – finding, using, and assessing appropriate models (including linear regression for bivariate data and additive models for timeseries data), seeking explanations, and making predictions; – using informed contextual knowledge, exploratory data analysis, and statistical inference; – communicating fi ndings and evaluating all stages of the cycle. • Make inferences from surveys and experiments: – determining estimates and confi dence intervals for means, proportions, and differences, recognising the relevance of the central limit theorem; – using methods such as resampling or randomisation to assess the strength of evidence.
Interpret Line Plots with Up to 5 Data Points
Interpret Line Plots
Interpret Line Plots with Numbers Up to 40
Interpret Histograms
Convert Graphs to Input/Output Tables
Scatter Plots
Rate of Change
Create Line Plots
Create Line Plots II
Interpret Stem and Leaf Plots
Interpret Bar Graphs
Create Bar Graphs Using Tables
Create Bar Graphs
Create Histograms
Create Frequency Charts
Interpret Circle Graphs
Circle Graphs and Central Angles
Create Line Graphs
Interpret Box-And-Whisker Plots
Choose the Best Graph Type
Identify Biased Samples
Identify Representative Samples
Identify Representative, Random, and Biased Samples
Identify Random Samples
Statistical literacy • Evaluate a wide range of statistically based reports, including surveys and polls, experiments, and observational studies: – critiquing causal-relationship claims; – interpreting margins of error.
Probability • Investigate situations that involve elements of chance: – calculating probabilities of independent, combined, and conditional events; – calculating and interpreting expected values and standard deviations of discrete random variables; – applying distributions such as the Poisson, binomial, and normal.
Patterns and relationships • Apply the geometry of conic sections. • Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions. • Use permutations and combinations. • Use curve fi tting, log modelling, and linear programming techniques. • Develop network diagrams to fi nd optimal solutions, including critical paths.
Equations and expressions • Manipulate trigonometric expressions. • Form and use trigonometric, polynomial, and other non-linear equations. • Form and use systems of simultaneous equations, including three linear equations and three variables, and interpret the solutions in context. • Manipulate complex numbers and present them graphically
Calculus • Identify discontinuities and limits of functions. • Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods. • Form differential equations and interpret the solutions.