Prepared Teaching Modules

Concept of Parallelism

10 - 12 years Parallel, distance, concept of equal distance

Toy car – acceleration

10 - 16 years Velocity, speed, safety in traffic situations

Lego Robot and Coordinate System

10 - 18 years Lego, Robot, Mindstorms, NXT

Temperature

12 - 15 years Variable, change, rate of change, controlling variables
controlled variable, dependent variable, fair test

Experiments to Proportional Factor 1

12 - 15 years Proportionality, proportional factor, concept of function,
functional relation, linear function

Physical Experiments to Proportional Factor 2

12 - 15 years Proportionality, proportional factor, concept of function,
functional relation, linear function
Physical experiments in interdisciplinary lessons

Boyle´s Law and Concept of Variable

12 - 16 years Concept of variable, modelling, functional relationships,
inverse proportional relation, law of Boyle& Mariotte

Buouyancy and Concept of Variable

12 - 16 years Concept of variable, modelling, functional relationships,
proportional relationship, buouyancy

Refraction and Concept of Variable

12 - 16 years Concept of variable, modelling, functional relationships,
proportional relationship, refraction

Thermal Expansion of a Liquid and Concept of Variable

12 - 16 years Concept of variable, modelling, functional relationsships,
thermal expansion of a liquid

Functional Relations 1

12 - 17 years function, linear, quadratic, cubic,
inverse proportional and other functional relationships
contexts in reality - simple experiments in mathematical lessons

Solar system - Role Play

12 - 17 years Solar system, distances, star, planet, large numbers

Arithmetic Mean and Car Differential

13 years and older Arithmetic mean, car differential

Bicycle Gears as Ratios

13 years and older bicycle gears, bicycle shifting, ratios

Fermat meets Pythagoras

13-15 years Pythagoras´ Theorem, extreme value tasks, Fermat´s principle

Relationship between Mass and Volume of a Liquid

13-15 years and other Variable, proportionality, constant, function, unit, density

Nutrition Circle and Pie Charts

14 - 16 years Pie Charts, Percentage calculation, Nutrition Circle, Nutrition

Similar Triangles for Parallax-Measurement

14 - 17 years Similar triangles, parallax measurement

Center of mass/ gravity

14 - 19 years intersection in triangles, center of mass in
planes and bodies, applicatons of linear algebra, gravity

Sound Functions

15 years and older Function, Digital, Sound, Resolution

Proportions, similarity and allometry

15-16 JahreProportions and ratio in geometry and biology,
similarity of planes and bodies, allometry at of animals

Parabola and Horizontal launch

15 to 16 years Parabola, Horizontal launch

Experiments to investigate Decaying Processes

15 to 16 years (stunted) growth, decay, experiments, analysing measuring values,
regression of measuring values, modelling

Parabola and Car lights

15 years and older Parabola, car lights

Logarithmic Function

15-17 years function, logarithm, universe, sound, earthquake

Functional Relations 2

15-18 years concept of function, functional thinking, linear, sqaure,
anti-proportional and other functions,
physical experiments in interdisciplinary lessens

Function x^(3/2) and x^(1/2): practical examples with pendulum

15 - 18 years function, potential function (rational powers), oscillation of pendulum

Growth

15 - 18 years exponential and linear growth, functional relationships,
applications of growth, mathematical models, modelling

GPS and fair Insurence Premia

15 - 19 years Modelling, functional relations, reflecting

x^-0,5 , Square root function in divisor

16 years old Square root function in divisor

Introduction of Trigonometric Function

16 - 17 years Trigonometric functions, circulation, oscillation

Functional Relation 3

16 - 18 years concept of function, functional thinking,
"unknown" functions in interdisciplinary contextes

Fermat´s Principle and Calculus

16 - 18 years optimization problems, calculus, Fermat´s principle

Paramecia

16 - 19 years logistic growth, modelling, functional relationships,
concept of derivative, rate of change

Modelling Things in Traffic

16 - 19 years Modelling activities in the context of traffic

Arc length of a plane curve - "proved by physics"

18 to 20 years Arc length (horizontal launch)



Further teaching modules
(in all available European languages)