DARTEF Digital Experimentation Laboratory

In the table below you will find mathematical experimentations in real-life context for selected topics. Click on pictures to open experimentations.  You can download examples of several worksheets (PDF and editable Word), contact us for more worksheets. For the best experience view table and perform experiments on desktop computer, notebook or tablet.

 

Curriculum topic

Sub-topics

Real-life context

Description of real-life context

Open digital experiment

Worksheet

A-B

No topics from A to B published yet. Contact us if you wish to teach specific math topic in real-life context.

C

Cartesian coordinate system

Cartesian coordinate system

Smart transportation

Students are using Cartesian coordinates system for giving X and Y coordinates for streets and roads. Coordinates are used by autonomous car to navigate (custom map can be uploaded).

Contact us to get worksheet for this experimentation

Common fractions

– Introduction

– Fundamental property of a fraction

– Transforming fractions

Entertainment, wellbeing

In this experimentation students are using basic properties of common fractions to control the performance of the fountains. 

Addition and subtraction of common fractions

Entertainment, wellbeing

In this experimentation students can apply their knowledge on addition and subtraction of common fraction to design fountains of different shapes.

Contact us to get worksheet for this experimentation

Addition and subtraction of common fractions and decimal fractions

Coming soon…

Coming soon…

Coming soon…

Coming soon…

Multiplication and division of common fractions

Entertainment, wellbeing

Similarly to addition and subtraction of fractions, this experimentation can be used for giving fountains very special shapes via their multiplication and division.

Contact us to get worksheet for this experimentation

Constant motion and its graph

Constant motion and its graph

Space exploration

Coming soon…

Coming soon…

Coming soon…

D-K

No topics from D to K published yet. Contact us if you wish to teach specific math topic in real-life context.

L


Linear function

Linear function and its graph

Smart transportation

In this experiment, properties of linear function are applied to define path of the autonomous car. City map can be uploaded so that the car can navigate on real streets of your town. Experimentation with Cartesian coordinates can be explored before as well.

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Linear function and its graph

Culture, entertainment

In this experiment  students can control the lighting of the theatre stage with the help of linear function. Slope and intercept of function are given authentic real-world representations.

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Linear function and its graph

Smart transportation

Students can try to predict dangerous situations on the road with the help of linear function and build simple model for artificial intelligence. Two linear function graphs are plotted on coordinate plane. 

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M-O

No topics from M to O published yet. Contact us if you wish to teach specific math topic in real-life context.

P

Percentages

Finding percentage from a given number

Sports, healthcare

This experimentation gives students first introduction into percentages and show finding percentage from a given number via design of algorithm for hand activity monitor

– Percentage fraction

– Finding a number from a given percentage.

Sports, healthcare

Next topic for percentages is finding percentage if number is given. This activity might be complementary to the previous one.

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Change of quantity in percentages

Sports, healthcare

One of the most difficult topics in percentages is presented in the context increasing and decreasing daily training load on a person.

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Proportional relations

Proportion

Geography, demography

In this software students learn how to use proportional relation for creation of demography maps. Diameter of the circumference on the map is proportional to the population of city, country or continent.

Polynomials

– Introduction

– Addition and substraction of polynomials

Smart agriculture

In this software, polynomials are introduced in the context of vertical farming – promising approach to growing healthy food. Students use polynomials to model sprinkling of the plants.

Pythagorean theorem

Pythagoran theorem

Smart medicine, healthcare

In this experimentation students discover the work of surgery robot model, performing knee accupuncture. Depth of needle insertion is calculated with the help of Pythagorean theorem. This experimentation can also be used before introduction of trigonometric ratios.

Contact us to get worksheet for this experimentation

Q

Quadratic function and quadratic equation

Quadratic function and its graph – Introduction

Space exploration

This experimentation allows students to send spacecraft to the comet along parabolic trajectory. In addition to calculating if point belongs to parabola, students need to reсall formulas for calculating constant speed.

Geometrical interpretation and solving of quadratic equation

Space exploration

In this experimentation students can calculate the meeting point of spacecraft and explorer on X axis. In addition to calculating if point belongs to parabola, students need to reсall formulas for calculating constant speed.

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Incomplete quadratic equation

Space exploration

Coming soon…

Coming soon…

Contact us to get worksheet for this experimentation

R

Rational numbers

Addition and subtraction of rational numbers.

Climatology

In this experimentation students are able to apply their knowledge of  subtraction of rational number to make weather forecast and understand the nature of thunderstorm causes.

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S

Straight line equation

Straight line equation

Culture, entertainment

This experimentation is similar to linear functions, however here students are asked to perform linear control of theatre stage lighting using method of two points.

Contact us to get worksheet for this experimentation

T

Trigonometry

Triginometry of acute angle

Smart medicine, healthcare

In this experimentation students discover the work of surgery robot model, performing knee accupuncture. Depth of needle insertion is calculated with the help of trigonometric ratios. Very good connection to Pythagorean theorem.

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Inverse trig functions

Smart medicine, healthcare

In this experimentation students learn other functionality of surgical robot and apply inverse trig functions for calculation the rotation angle of the syringe.

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U-Z

No topics from U to Z published yet. Contact us if you wish to teach specific math topic in real-life context.