Learning objectives for short-track Gymnasium

In our preparatory courses, we deal with all topics that are relevant to the entrance examination. However, the courses of Lern-Forum go beyond the entrance exam. We also look at individual topics that will be dealt with at the beginning of the probationary period. We want you to have a great start at Gymnasium!

Mathematics

The materials which students will be questioned on depends on the teaching material of the primary school. Exam topics are taken from the Mathematik 1 textbook (all chapters) and about half of the Mathematik 2 textbook (up to chapter 5a: Prices - Actions - VAT). Students may be asked to do the following:

Numbers and Variables (Arithmetic and Algebra)

• Basic operations with natural, whole, and rational numbers, exponentiation and root extraction, calculation rules
• Prime factorisation, greatest common factors and lowest common denominator
• Enter and read number pairs in the coordinate system
• Adequately describe and calculate contexts with numbers
• Derive terms from situational and geometric contexts, insert numbers in terms and calculate term values
• Algebraic term transformations (to and with fractions and roots)
• Derive linear equations from acontext and determine the solution of the equation
• Solve formulas according to different variables

 Data and Chance

• Create and interpret column, line, and pie charts
• Perform calculations with absolute and relative probabilities
• Probability calculations for 1 and 2-stage Laplace experiments
• Interpret line graphs to determine relative frequency

Size and Mass

• Lengths, areas, volumes (solid and capacity), weights and times
• Percentage calculations
• Calculations with gross and net prices, discount and VAT 4. functional relationships
• Represent dependent size pairs as a table or graph in a coordinate system
• Draw and interpret path-time graphs and fill graphs
• Proportionality

Form and Space

• Axis, rotation and point symmetrical figures
• Construct axis and point reflections
• Geometric figures (cube, cuboid, pyramid, straight prism)
• Nets and bodies
• Volume and surface calculations
• Body views from the right, top, and front, reconstruct bodies from different views
• Trace movements of cubes and prisms
• Outline the body of a cube
• Pythagorean theorem

2D geometry

• Definitions and properties of special triangles and quadrilaterals (isosceles and equilateral triangle, square, rectangle, rhombus, parallelogram, kite, trapezium)
• Perimeter and area of mentioned shapes
• Calculate angles and lengths (also with Pythagoras theorem)
• Properties of bisectors, angle bisectors, centre parallels (and use of design tasks)
• Thales' theorem
• Know and construct special points and lines on a triangle

French

The underlying material is that of unités 1 to 10 (textbook and modules, higher requirements) of “envol 7” and “envol 8”. The requirements are broadly similar to those of the waystage (A2) level of the European Language Portfolio.

Communication

• Listening ("true“/“false“/“unknown“ questions)
• Reading comprehension
• Writing a short text

Grammar

• Nouns: forming plurals
• Adjectives: adapting the feminine and plural forms, comparatives
• Definite and indefinite articles
• Partitive articles (du, de la, de l’, des, de, d’)
• Contracted articles (à les = aux)
• Personal pronouns (je, tu, il, elle, nous, vous, ils, elles)
• Direct and indirect objects (adapted to respective noun, correct position in sentence)
• Possessives and demonstratives
• Question words (quand, quel/quelle, etc.)
• Indefinite pronouns (tout, chaque, chacun/e)
• Asking questions with est-ce que
• Negatives (ne...pas, ne...plus, ne...rien)
• Imperative form (impératif)
• Tenses: présent, passé composé, futur composé
• Reflexive verbs (se laver)
• Irregular verbs: être, avoir, faire, vouloir, pouvoir, devoir, prendre, venir, tenir, partir, sortir, mettre, vendre, rendre, répondre, attendre, écrire, lire, voir, aller, acheter, préférer
• Vocabulary = entire vocabulary from unités 1-10 from envol 7 and 8 textbooks

German

The German exam involves two parts:

Writing a text

• Write down what has been experienced, observed, invented, received or reflected in a text
• Write texts depending on the addressee
• Marking according to 3 areas: Content, style, grammar. At Lern-Forum, we intensively practise the writing of good essays. Teachers will only correct some of the essays written by the students. The rest will be corrected by an external, specialised team who will follow the official guidelines of the central entrance examination when marking their assessments.

Text comprehension and language observation (Grammar and Expression)

• Answer questions on text comprehension (also reading between the lines)
• Vocabulary and expressions: Hierarchisation of terms ("Weiler-Dorf-Stadt-Region"), word families ("fahren, Fahrer, Fährte") and word fields ("fahren, brausen, flitzen, rasen"), proverbs and phrases ("eine Abfuhr erteilen")
• Coherent forming and linking of sentences in a text (sentence linking with conjunctions, logical reference to pronouns, logical progression of time and relationships, clear narrative steps)
• Direct and indirect speech
• Active and Passive
• Personal forms of verbs
• Verb tenses: Präsens, Präteritum, Perfekt, Plusquamperfekt, Futur
• Modal verbs: Indikativ, Imperativ, Konjunktiv I und II
• Auxiliary verbs and modal verbs
• Gender and cases of nouns
• Comparitive forms of adjectives
• Recognising pronouns (no division into different subgroups)
• Recognising particles, conjunctions and prepositions
• Recognising and marking the subject, verbal phrase and objects (dative, accusative, genitive)

Further information on the learning objectives as well as the exact requirements (grades, etc.) for the entrance examination can be found on our website www.lern-forum.ch. We offer preparatory courses from autumn onwards. Courses are offered both during the semester and during the holidays. We teach in small groups of up to 8 students. Thanks to our up-to-date and proven course materials and excellent teachers, we provide outstanding preparation for the entrance exam. Click here to see costs, course locations and open places.