Maths: Applications and Interpretation: every topic explained
27 short explanations for Maths: Applications and Interpretation, one per syllabus topic: the idea, the rules, the common mistake and a worked example. Each one links to our notes and a free test on that topic.
Free Maths: Applications and Interpretation testMaths: Applications and Interpretation notes
Number and algebra
- Standard form, approximation and errors
- Arithmetic sequences and series
- Geometric sequences and series
- Financial applications: compound interest, depreciation, loans and annuities
- Exponents and logarithms
- Systems of linear equations and polynomial equations (technology)
Functions
- Equations of straight lines
- Functions, graphs and their key features
- Linear, quadratic, cubic and variation models
- Exponential and sinusoidal models; the modelling process
Geometry and trigonometry
- Three-dimensional geometry: distance, solids and angles
- Right-angled and non-right-angled trigonometry
- Applications of trigonometry: elevation, bearings, arcs and sectors
- Perpendicular bisectors and Voronoi diagrams
Statistics and probability
- Collecting data and sampling
- Presenting data: histograms, cumulative frequency and box plots
- Measures of central tendency and dispersion
- Correlation and regression
- Probability: Venn diagrams, tree diagrams and conditional probability
- Discrete random variables and the binomial distribution
- The normal distribution
- Hypothesis testing: χ² and t-tests
Calculus
- The derivative as a rate of change; increasing and decreasing functions
- Differentiating axⁿ; tangents and normals
- Stationary points and optimisation
- Integration and areas
- The trapezoidal rule
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