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 
1315 years 

Pythagoras´ Theorem, extreme value tasks, Fermat´s principle   
Relationship between Mass and Volume of a Liquid 
1315 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 ParallaxMeasurement 
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 
1516 Jahre   Proportions 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 
1517 years 

function, logarithm, universe, sound, earthquake   
Functional Relations 2 
1518 years 

concept of function, functional thinking, linear, sqaure, antiproportional 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)   