Umiejętności z podstawy programowej

Mathematics: analysis and approaches

Number and algebra9

• Scientific notation2 zad.
• Arithmetic patterns and totals37 zad.
• Geometric patterns and totals32 zad.
• Interest and depreciation models19 zad.
• Integer powers and introductory logarithms1 zad.
• Direct algebraic arguments10 zad.
• Rational powers and logarithm rules44 zad.
• Convergent geometric totals7 zad.
• Finite binomial expansions19 zad.

Functions11

• Straight-line relationships15 zad.
• Functions, domains and ranges13 zad.
• Representing functions graphically10 zad.
• Reading graph features and intersections8 zad.
• Composition and inverse functions39 zad.
• Quadratic forms and geometry16 zad.
• Quadratic solutions and discriminants56 zad.
• Linear-over-linear rational functions29 zad.
• Exponential and logarithmic functions33 zad.
• Analytic and numerical equation solving14 zad.
• Basic graph transformations16 zad.

Geometry and trigonometry8

• Spatial measures and right-triangle geometry59 zad.
• Triangle relationships and area48 zad.
• Trigonometric modelling of positions7 zad.
• Radians, arcs and sectors36 zad.
• Unit-circle values and ambiguous triangles10 zad.
• Basic trigonometric identities27 zad.
• Periodic graphs and models41 zad.
• Trigonometric equations on intervals17 zad.

Statistics and probability12

• Sampling, data quality and outliers5 zad.
• Frequency and cumulative displays21 zad.
• Location, spread and transformed data37 zad.
• Correlation and predicting y from x27 zad.
• Events and expected counts11 zad.
• Combined-event diagrams and probabilities35 zad.
• Discrete probability models and means36 zad.
• Binomial models27 zad.
• Normal probabilities with known parameters28 zad.
• Predicting x from y6 zad.
• Conditional probability and independence tests31 zad.
• Standardization and unknown normal parameters16 zad.

Calculus11

• Limits and the meaning of a derivative6 zad.
• Derivative signs and monotonicity6 zad.
• Differentiating integer powers10 zad.
• Tangent and normal equations24 zad.
• Antiderivatives and introductory area2 zad.
• Elementary derivatives and differentiation rules31 zad.
• Second derivatives and linked graphs13 zad.
• Extrema, inflections and optimization49 zad.
• Calculus of motion59 zad.
• Elementary integration techniques27 zad.
• Definite integrals and regions30 zad.