Practical applications of differential and integral calculus - Lesson plan
Practical applications of differential and integral calculus - Lesson plan
Lesson Information- Topic: Differential and integral calculus - practical applications
- AHS: 7./8. Class; BHS 8. Class
- Duration: one lesson
- Student activities: https://www.geogebra.org/m/vHBvfGc8
- Special Requirements: laptops or tablets
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
