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	Topic	At least grade	Previous knowledge	Possible contents
	Animated movies	11	concept of functions, interpolation	interpolation
	Image classification and machine learning	10	vectors	vectors, scalar product, distance point straight/plane
	Computer tomography	11	Straight lines in R2, calculation of intersections	Inverse  problems, parameter representation of straight lines and planes, matrices
	Data compression	9 11	concept of functions vectors, matrices	functional equations, trigonometric functions matrices, vectors and their multiplication
	Evolution	8	relative frequency, arithmetic mean, median, proportionality	Handling of data, distance measurement, transition matrices and stochastic processes, clustering methods, metrics
	Fitness tracker	9	concept of functions	functional equations, trigonometric functions
	Google	10	systems of linear equations	probability concept, limit value, transition matrices
	GPS	10	system of equations	systems of equations, tangent equations in three-dimensional space, compensation calculation
	Climate change	10	concept of function, differential calculus, arithmetic mean	linear regression analysis, coefficient of determination, hypothesis tests
	Climate records	10	Probabilities and random experiments, path rules	Handling data, law of large numbers, Laplace probability, path rules, stochastic independence, expected value
	Cooling process of metal	11	differentiation, difference quotient, integration, sum of rectangles	Inverse problems, differentiation, difference quotient, integration, sum of rectangles, measurement error
	Netflix	10
	Shazam	9	concept of functions	functional equations, trigonometric functions
	Solar energie	8 10	angle pairs	geometry, trigonometry, angle relations in triangles integration, optimization
	Social networks	7	First experiences with Boxplots	relative frequency, arithmetic mean, median, span, quartile distance, box plots
	Word predictions	10	absolute and relative frequencies, probabilities and random experiments	transition graphs, transition tables, n-th order Markov chains, weighted mean, logarithm function, optimization

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