Holdet 1jkl Ma/1 (2025/26) - Undervisningsbeskrivelse

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Undervisningsbeskrivelse

Stamoplysninger til brug ved prøver til gymnasiale uddannelser
Termin(er) 2025/26
Institution Ikast-Brande Gymnasium
Fag og niveau Matematik B
Lærer(e) Laura Martí Perez
Hold 2025 1jkl Ma/1 (1jkl Ma/1)

Oversigt over gennemførte undervisningsforløb
Titel 1 Numbers and Exponents
Titel 2 Sets and Probability
Titel 3 Geometry
Titel 4 Algebra and quadratic equations
Titel 5 Quadratic functions and exponential functions

Beskrivelse af de enkelte undervisningsforløb (1 skema for hvert forløb)
Titel 1 Numbers and Exponents

Prime numbers: basic terms, prime decomposition, highest common factor and lowest common multiple. [Not in the book]

Exponent (index) laws: basic properties and definitions for rational exponents [In the book: Chapter 1, but rational exponents are not in the book]
Indhold
Kernestof:

Skriftligt arbejde:
Titel Afleveringsdato
Assignment 1, in class 18-11-2025
Omfang Estimeret: 6,00 moduler
Dækker over: 6 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 2 Sets and Probability

Sets: basic concepts, subsets, compliment, union, intersection, special sets of numbers, notation. [Chapter 4]

Venn Diagrams: regions and problem solving [Chapter 6]

Probability: sample space and events, theoretical probability, the addition law of probabilities, independent and dependent events, experimental probability and expectation, conditional probability {Chapter 19]
Indhold
Kernestof:

Skriftligt arbejde:
Titel Afleveringsdato
Assignment 2, in class 05-12-2025
Test 2 16-12-2025
Assignment 3, in class 12-01-2026
Omfang Estimeret: 10,00 moduler
Dækker over: 15 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 3 Geometry

Pythagoras Theorem: the theorem and its converse, Pythagorean triples, problem solving [Chapter 8]

Circle Theorems [Chapter 16, Sections A, B and C]

Measurements: perimeter and area of 2D figures, surface area, volume and capacity of 3D figures [Chapter 11]

Similarity: similar triangles [Chapter 15, Section C]

Right- angle trigonometry: trigonometric ratios, finding lengths and angles, problem solving, true bearings [Chapter 17]

Non-right angled trigonometry: the unit circle, the area of a triangle, the sine rule, the cosine rule, problem solving  [Chapter 18]
Indhold
Kernestof:

Skriftligt arbejde:
Titel Afleveringsdato
Test 3 23-01-2026
Assignment 4 in class 19-02-2026
Assignment 5 in class 05-03-2026
Omfang Estimeret: 18,00 moduler
Dækker over: 20 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 4 Algebra and quadratic equations

Expansion and factorisation (Chapters 2 and 3)
The distributive law. Particular cases

Common factors
Difference between two squares, perfect squares factorisation
Expression with 4 terms
Factorising x^2+bx+c and ax^2+bx+c by splitting the middle term

Algebraic fractions (Chapter 9)
Evaluating and simplifying algebraic fractions
Operations
Equations

Quadratic equations (Chapter 12)
Special cases, "completed square form"
The null factor law, solving by factorising
Completing the square
The quadratic formula
Problem solving
Indhold
Kernestof:

Skriftligt arbejde:
Titel Afleveringsdato
Assignment 6, in class 13-03-2026
Assignment 7, in class 20-03-2026
Test 4 13-04-2026
Omfang Estimeret: 12,00 moduler
Dækker over: 13 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 5 Quadratic functions and exponential functions


Chapter 23: Quadratic functions. Graphs of quadratic functions. Vertex form, standard form, factorised form. The five main features of a parabola. Quadratic optimisation.

Chapter 25: Exponential functions. Graphs of exponential functions. Growth and decay.
Indhold
Kernestof:

Skriftligt arbejde:
Titel Afleveringsdato
Assignment 8, in class 01-05-2026
Assignment 9, in class 22-05-2026
Omfang Estimeret: 13,00 moduler
Dækker over: 14 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer