In this GeoGebra-Book it should be about to make practical connections of the differential and integral calculus recognizable. Previous knowledge Knowledge from the lower level
Calculate volume
linear function and gradient triangle
Functional relationships
Calculate and interpret intersections of two functions
Describe vessel filling using functions
Differential calculus
Difference quotient / differential coefficient
Differentiate functions
Practical applications (for example: Relationship between distance travelled, speed and acceleration)
Integral calculus
Integrate functions
Definite and indefinite integral
Interpret the area under a function
Practical applications in the integrated calculus
Learning-outcomes
Pupils can interpret and apply differential and integral calculus in practical applications.
Students know the connection between differential and integral calculus.
Pupils can better understand competency-based math problems.
Lesson activities The students work with the GeoGebra-Book (https://www.geogebra.org/m/vHBvfGc8). They answer the key questions digital in the GeoGebra-Book with experimenting on the sliders. Concrete:
The students work in groups of two or alone.
The students can use her own laptops for using GeoGebra, if that is not possible, you need the IT-infrastructure of the school.
Activity 1 (10 minutes) Explaining the work order, turn on the computers, form groups Activity 2 (25 minutes) The students independently develop the answers to the questions asked, and the GeoGebra applet is used as an aid. Teacher support the students during this sequence. Activity 3 (15 minutes) Securing the learning outcome Applet and key questions are discussed in class plenum, possible problems with understanding can be taken up and lead to discussion. If you use GeoGebra Groups, the teacher can also check the answers from the students digital. Homework: https://aufgabenpool.srdp.at/bhs/index.php?action=14&cmd=3, Kompetenzbeispiel Quellwasser Evaluation: Can students handle practical application examples better (for example, Matura tasks of the BMB)? https://aufgabenpool.srdp.at/bhs/index.php?action=14&cmd=3, Kompetenzbeispiel Quellwasser
Neue Materialien
Zehnerpotenzen
Ordne zu! - Begriffe geometrische Körper
Ordnen von Zehnerpotenzen
Grafische Herleitung der 3. Binomischen Formel
Zahlenmauer - Brüche multiplizieren
Entdecke Materialien
Stammfunktion
Hypothesentest - Veranschaulichung von Fehler 1. und 2. Art
