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Maths: AA HL - Concept Videos

Access clear, step-by-step explanations to Learn Smarter and Faster.

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Definition and general term of arithmetic sequences

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Sum of an arithmetic sequence

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Geometric sequences and their general term

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Sum of a geometric sequence

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Polynomial expressions and their factorizations

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Rational expressions and their simplification

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Division of polynomials

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Exponent laws and properties

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Logarithmic functions and their properties

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Solving exponential and logarithmic equations

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Binomial expansion and coefficients

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Applications of binomial expansions

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Equation of a straight line

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Distance formula, midpoint formula, and area of triangle

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Circles and their equations

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Definitions of sine, cosine, and tangent

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Unit circle and angle measurement

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Trigonometric identities

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Law of Sines and its applications

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Law of Cosines and its applications

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Solving triangles using these laws

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Rules of differentiation (power, product, quotient, chain rule)

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Applications of derivatives in optimization problems

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Definition of a derivative (rate of change)

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Indefinite integrals and their properties

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Definite integrals and the area under a curve

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Applications of integration in areas and volumes

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Solving first-order differential equations

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Applications of differential equations in real-life problems

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Definition and calculation of limits

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Continuity of functions at a point

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Squeeze theorem

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Measures of central tendency (mean, median, mode)

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Measures of spread (range, variance, standard deviation)

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Box plots and histograms

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Basic probability rules and concepts

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Conditional probability and Bayes’ theorem

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Probability distributions (binomial, normal etc.)

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Hypothesis testing and confidence intervals

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Z-scores and t-tests

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Correlation and regression analysis

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Identifying a research question

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Mathematical models and their exploration

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Writing an exploration and report

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Developing problem-solving strategies

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Real-world applications of mathematics

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Using mathematical models in investigations

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Definition and types of functions (one-to-one, onto etc.)

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Domain and range of functions

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Inverses of functions

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Translation, reflection, stretching, and compression

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The effect of transformations on the graph of a function

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Sine, cosine, and tangent functions

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Trigonometric identities and equations

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Graphing trigonometric functions

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Real-world applications of functions (e.g. growth models)

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Solving problems using functions

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