Learning objectives Short-term gymnasium

In our preparation courses, we cover all topics that are relevant for the entrance exam. However, Lern-Forum.ch always offers a view beyond the entrance exam in its courses. We also look at individual topics that are dealt with at the beginning of the probationary period. This is how you get off to a successful start in gymnasium!

Mathematics

The material tested is based on the teaching material used in elementary school. The topics asked on the exam range from the textbook Mathematics 1 (all chapters) to about half of the book Mathematics 2 (up to chapter 5a: Prices - Actions - Value Added Tax). Students can solve tasks from the following areas:

Number and variable (Arithmetic and Algebra)

• Basic operations in the natural, whole and rational numbers, exponentiation and root extraction, calculation rules
• Prime factorization, ggT and kgV
• Enter and read pairs of numbers in the coordinate system
• Adequately describe and calculate factual contexts with numbers
• Derive terms from factual and geometric contexts, insert numbers into terms and calculate term values
• Algebraic term transformations (up to and including fraction and root terms)
• Derive linear equations from a factual context and determine the solution of the equation
• Resolve formulas according to different variables

 Data and random

• Create and interpret bar, line, and pie charts.
• Calculations with absolute and relative probabilities
• Calculate probabilities for 1- and 2-step laplace experiments
• Interpret line graphs for the development of relative frequency

Sizes and dimensions

• Lengths, areas, volumes (room and hollow mass), weights and times
• Calculating percentages
• Calculations with gross and net prices, discount and VAT 4. Functional relationships
• Represent dependent pairs of quantities in a table or as a graph in a coordinate system, draw and interpret displacement-time graphs and fill graphs.
• Proportionality

Form and space

• Complete axis-, rotation- and point-symmetric figures
• Construct axis and point reflections
• Geometric figures (cube, cuboid, pyramid, straight prism)
• Meshes and solids
• Volume and surface calculations
• Body views from right, top and front, reconstruct bodies from different views
• Reconstruct movements of cube bodies and prisms
• Sketch cube bodies
• Pythagorean theorem

Plane geometry

• Definitions and properties of special triangles and quadrilaterals (isosceles and equilateral triangle, square, rectangle, rhombus, parallelogram, kite quadrilateral, trapezoid).
• perimeter and area of mentioned figures
• Calculate angles and lengths (also with Pythagoras theorem)
• Properties of perpendiculars, bisectors, parallels (and use of construction problems)
• Thales circle
• Know and construct special points and lines in the triangle

French and English

No longer tested. Foreign languages are included in the examination result as part of the certificate grade.

German

The German exam has two parts:

Writing a text

• Write down in a text what has been experienced, observed, invented, received or reflected upon.
• Designing texts according to the addressee
• Evaluation according to 3 points of view: content, style, grammar at Lern-Forum.ch we intensively practice writing good essays. The teachers who teach the courses correct only a part of the essays written by the students. The rest is corrected by an external, specialized team, which follows the official guidelines of the Central Entrance Examination when writing the evaluations.

Text comprehension and language observation (grammar and expression)

• Answer questions about a text comprehension (reading between the lines is also required).
• Vocabulary and expression: hierarchy of terms ("hamlet-village-city-region"), word families ("drive, driver, track") and word fields ("drive, roar, dash, speed"), proverbs and word combinations ("to give a rebuff")
• Coherent formation and linking of individual sentences to a text (sentence linking with conjunctions, logical reference to pronouns, logical flow of time stages and relationships, clear narrative steps)
• Direct and indirect speech
• Active and passive voice
• Personal forms of the verb
• Tenses of the verb: present, past, perfect, past perfect, future tense
• Modal forms of the verb: indicative, imperative, subjunctive I and II
• Auxiliary verbs and modal verbs
• Gender and cases of nouns
• Comparative forms of adjectives
• Recognition of pronouns (no division into different subgroups)
• Recognize particles, especially recognize conjunctions and prepositions
• Recognize and mark subject, verbal parts and objects (dative, accusative, genitive)

For more information on the learning objectives and the exact requirements (grade point average, etc.) for the entrance exam, please visit our website at www.lern-forum.ch. We offer preparatory courses starting from 1st secondary school of each year. There are both school-accompanying and vacation courses. We teach in small groups of up to 8 students. Thanks to our course materials, which are always up-to-date and have been tried and tested over many years, as well as our excellent teachers, we offer excellent preparation for the entrance examination. Click here to see costs, course locations and available seats.