Holdet 3i Map-HL (2025/26) - Undervisningsbeskrivelse - Lectio

Holdet 3i Map-HL (2025/26) - Undervisningsbeskrivelse

Undervisningsbeskrivelse

Stamoplysninger til brug ved prøver til gymnasiale uddannelser

Termin(er)	2024/25 - 2025/26
Institution	Herlufsholm Skole
Fag og niveau	Matematik -
Lærer(e)
Hold	2023 Map-HL/i (2i Map-HL, 3i Map-HL)

Oversigt over gennemførte undervisningsforløb

Titel 1	Chapters 1 - 4
Titel 2	Chapters 5-6
Titel 3	Chapters 7-8
Titel 4	End of Syllabus Plan

Beskrivelse af de enkelte undervisningsforløb (1 skema for hvert forløb)

Titel 1	Chapters 1 - 4 Chapter 1 Measuring space: accuracy and geometry - Represinting Numbers - Angles and triangles - 3D Geometry Chapter 2 Descriptive statistics - Organizing data - Statistical Measures - Ways in which you can present data - Bivariate Data Chapter 3 Coordinate geometry, Voronoi diagrams, vectors, lines - Coordinate geometry in 2D and 3D - Equation of a straight line in 2D - Voronoi diagrams - Vectors Chapter 4 Modelling Constant rates of change - Functions - Linear models - Inverse functions - Arithmetic sequences and series - Linear regression Bonus: Geometric sequences and series
Indhold	Kernestof: Homework: Questions 1,2,3 and 4. Small Homework Small homework Classwork No test today, except for Aaliyah and Alexander. Formula Book.pdf description Homework Prepare for the test Test Tiny Homework Tiny homework Notebook checkpoint Catch up on previous homework Optional Homework Bring your laptops and headphones :) Homework (Start early!) Homework (no excuses)
Omfang	Estimeret: Ikke angivet Dækker over: 65 moduler
Særlige fokuspunkter	Faglige Lytte Læse Søge information Skrive Diskutere Projektarbejde Almene (tværfaglige) Analytiske evner Overskue og strukturere IT Regneark Præsentationsgrafik
Væsentligste arbejdsformer	Forelæsninger Gruppearbejde Individuelt arbejde Lærerstyret undervisning Pararbejde

Titel 2	Chapters 5-6
Indhold	Kernestof: Homework + Bring your calculators! Test today + show me your notebooks Classwork Homework Markscheme below. File Chapter 4 test (1).pdf description Start Early! Homework Tiny homework
Omfang	Estimeret: Ikke angivet Dækker over: 29 moduler
Særlige fokuspunkter	Faglige Lytte Læse Søge information Skrive Diskutere Projektarbejde Almene (tværfaglige) Analytiske evner Overskue og strukturere Personlige Selvstændighed Sociale Samarbejdsevne IT Regneark
Væsentligste arbejdsformer	Forelæsninger Gruppearbejde Individuelt arbejde Lærerstyret undervisning Pararbejde Projektarbejde

Titel 3	Chapters 7-8 Geometric sequences and series Exponential functions Logarithms Logistic functions Radians Sinusoidal models Complex numbers
Indhold	Kernestof: Homework Test today (postponed to the 13th) Test today
Omfang	Estimeret: Ikke angivet Dækker over: 22 moduler
Særlige fokuspunkter	Faglige Lytte Læse Søge information Skrive Diskutere Projektarbejde Almene (tværfaglige) Analytiske evner Overskue og strukturere Personlige Selvstændighed Sociale Samarbejdsevne IT Regneark
Væsentligste arbejdsformer	Forelæsninger Gruppearbejde Individuelt arbejde Lærerstyret undervisning Pararbejde Projektarbejde

Titel 4	End of Syllabus Plan I. Derivatives - Optimization (finding minima and maxima in word problems) - quick - The Chain Rule, The Product Rule, and The Quotient Rule - Derivatives of special functions: trigonometric functions, e^x, ln(x) - quick - The second derivative and its interpretation - Application of derivatives on Kinematics (quick) - Related Rates of change word problems II. Integrals IIA. Integrals as area under graphs - Approximating area under graphs + definition of integrals - Calculating definite integrals on the GDC (quick) - Negative integrals and how to approach them (quick) - The Trapezoidal rule IIB. Integrals as anti-derivatives - Explaining antiderivatives and +c - Some quick antiderivatives formulae (page 489) + practice - Reverse Chain Rule (aka. The Substitution Rule) - Calculating definite integrals by hand (quick) IIC. Applications of integrals - Finding areas between curves - Finding volumes of 3D Solids of Revolution - Application of Integrals in Kinematics (quick) IID. Differential Equations - Solving equations by separating variables - Using Slope Fields to represent solutions of differential equations (low priority) - Euler's Method to numerically solve differential equations III. Vectors and Calculus - Reminder of vector quantities + practice (quick) - The component of vector a in the direction of vector b (quick) - Motion with variable velocity - Exact solutions to coupled differential equations (including phase portraits, but with low priority) - Approximate solutions to coupled differential equations - Predator - Prey. Second order differential equations IV. Graph Theory - Constructing graphs (what is a graph?), adjancency and transition matrices - Minimum spanning tree (Kruskal's and Prim's algorithms) - The Chinese Postman problem - The Travelling Salesman problem
Indhold	Kernestof: Homework Smallish homework Tiny homework Derivative Rules - explanations.pdf description Derivative Rules Worksheet.pdf description Afsnit Practice Differential Equations. Worked solutions are below. Assignment due I will be a little late. Please do questions 1ai and 1aii from 552. We were going to start with an exercise any way :)
Omfang	Estimeret: 26,00 moduler Dækker over: 27 moduler
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Væsentligste arbejdsformer

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