Holdet IB2 maAIHL/2 (2025/26) - Undervisningsbeskrivelse

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Undervisningsbeskrivelse

Stamoplysninger til brug ved prøver til gymnasiale uddannelser
Termin(er) 2024/25 - 2025/26
Institution Hasseris Gymnasium
Fag og niveau Matematik -
Lærer(e) Per Kirkegaard
Hold 2024 maAIHL/2 (IB1 maAIHL/2, IB2 maAIHL/2)

Oversigt over gennemførte undervisningsforløb
Titel 1 Curriculum

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

Mathematics Applications and interpretations HL 1+2
Michael Haese et. al. 2019.

Autumn 2024:
1.6 Approximation, rounded numbers, percentage errors and estimation
1.1 Scientific notation
1.5 Laws of exponents with integer exponents and logarithms with base 10 and e
1.9 Laws of logarithms
1.10 Expressions involving rational exponents
1.8 Systems of linear equations and polynomial equations

2.1 Equation of a straight line
2.2 Concept of a function, domain, range. Inverse function.
2.3 Graphs
2.8 Transformation of graphs
2.4 Key features of graphs
2.7 Composite functions

1.2 Arithmetic sequences and series
1.3 Geometric sequences and series
1.4 Financial application of geometric sequences and series
1.11 Sum of infinite geometric sequences
1.7 Amortizatinon and annuities using technology

3.1 3D solids and distance between two points
3.2 Trigonometric ratios, sine and cosine rules and area of triangle
3.3 Applications of trigonometry incl bearings
3.4 Length of arc and area of sector
3.5 Perpendicular bisectors
3.6 Voronoi diagrams
3.7 Radians and conversion between degrees and radians
3.8 The unit circle and trigonometric equations

1.12 Complex numbers - cartesian form
1.13 Modulus-argument and exponential form

Spring 2025:
2.5 Modelling with functions
2.9 Modelling - exponential, natural logarithmic, sinusoidal, logistic and piecewise models
2.6 Fitting models using regression
2.10 Log-log and semi-log graphs

4.1 Key terms in descriptive statistics
4.2 Presentation of data
4.3 Measures of central tendency and dispersion
4.5 Key concepts in probability
4.6 Diagrams, combined events, mutually exclusive events, independent events and conditional probability

1.14 Matrices
1.15 Eigenvalues and eigenvectors
3.9 Geometric transformations using matrices
4.19 Transition matrices

3.14 Graph theory
3.15 Walks and weighted adjacency tables
3.16 Walks, trails, paths, circuits, cycles, etc

Autumn 2025:
4.7 Probability distributions and expected value
4.8 Binomial distribution
4.9 Normal distribution
4.17 Poisson distribution
4.11 Chi-squared distribution and t-test
4.18 Test for population mean, and Type I and II errors

5.1 Concept of limit and derivatives
5.2 Increasing and decreasing functions
5.3 Derivative of polynomial functions
5.9 Derivative of trigonometric, logarithmic functions. Chain, product and quotient rules
5.4 Tangents and normals
5.5 Integration as anti-differentiation
5.6 Stationary points
5.10 The second derivative
5.7 Optimisation
5.8 Approximating areas using the trapezoidal rule
5.11 Integration by substitution
5.12 Area of region and volume of revolution
5.13 Kinematic problems
5.14 Differential equations and separation of variables
5.15 Slope fields
5.16 Euler's method
5.17 Coupled differential equations
5.18 Solution of second order equations by Euler's method

Spring 2026:
3.10 Key concepts in vectors
3.11 Vector equation of a line
3.12 Vector application to kinematics
3.13 Scalar and cross products, Components of vectors

4.10 Spearman's rank correlation coefficient vs Pearson's product moment correlation coefficient
4.4 Linear correlation and regression
4.12 Design of data collection methods, reliability and validity
4.13 Non-linear regression
4.14 Linear transformation of random variable
4.15 Central limit theorem
4.16 Confidence intervals
Indhold
Kernestof:
Omfang Estimeret: 180,00 moduler
Dækker over: 156 moduler
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