Holdet 2024 maAIHL/2 - Undervisningsbeskrivelse - Lectio - X

Holdet 2024 maAIHL/2 - Undervisningsbeskrivelse

Undervisningsbeskrivelse

Stamoplysninger til brug ved prøver til gymnasiale uddannelser

Termin(er)	2024/25 - 2025/26
Institution	X - Hasseris Gymnasium
Fag og niveau	Matematik -
Lærer(e)	Per Kirkegaard
Hold	2024 maAIHL/2 (IB1 maAIHL/2, IB2 maAIHL/2)

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Titel 1

Curriculum

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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: Introduction to IB math. Reflect on Michael Haese mf: Mathematics - Applications and Interpretation SL 2, Haese Mathematics; sider: 22-30, 32-44, 63-73, 101-131, 167, 169, 171, 173, 217-231 Homework See OneNote Errors in measurements for homework Michael Haese mf: Mathematics - Core Topics SL 1, Haese Mathematics; sider: 20-38, 101-142, 149-158, 171-205, 229-235, 239-247, 281-320 Error and sector. I will be a good idea to have printet the formula booklet. Practice until you don't get i wrong. Michael Haese mf.: Mathematics: Applications and Interpretation HL, Haese; sider: 217-239, 242-263, 265-275, 279-287, 290-294, 296, 310, 313, 334, 337, 349, 353-374, 807-809 Bring a scissor and a ruler. Homework. In OneNote Solids with curved surface See the videos and reflect on the content. How can you incorporate the ideas presented into you daily work in math and perhaps other topics? In OneNote. Private section->homework->Volume Exercises. In OneNote -> Homework -> Complex numbers(02) Right Angle Trigonometry (IB Maths Studies) Read chapter 11G. do exercise: #1,2,3 and 4 on page 280 Mathematics: Core Topics HL, Haese; sider: 178-185, 190-193, 198-200, 204-208, 212-220, 425 Do exercise 8D #5,9 page 198 P.177 7B 1+2+3+4 - Write your working in OneNote-Private section->Finding equations Entranceticket to the class is knowing the formulas for sin, cos and tan by heart. (page 174 center). Homework in OneNote-> Homework -> In OneNote -> Private->Review 7A Exercise 11H1 Homework. exercise 8E #1,6,7,9,14,16 Exercise 11H.2 page 286+287. To further understand the toolbox Homework in OneNote "3 dim. Points and measurements exercises" Flash cards Trigonometry.pptx description Exercise 9+10+11 by hand Exercise 6+7 Flash cards Sequences and series.pptx Exercise 8+11+13+14+15+16 Exercises page 293+294 6-14. 12+13 by calculator. 14 exact result. mc24pben.pdf description page 334 13B exercise 1-4 review set 13A 14B +14C+14D+14E HL - remember to bring your HL Core book. In OneNote ->private section->Homework->Loans and annuities Remember to have your calculator fully charged. Some of the calculations are hard, if you want to do them by hand. Think of what are the challenges with meeting the criteria in HL, when doing HL/SL lessons and how can we find a solution (formel) Page 51 in Book 2 exercise 2B #7-11 Exercises Make sure, that you have done all of them HL: we will need book 2 for this lesson HL will need book 2 for this lesson Do the exercises 8F #8+9. Remember to check your results. HL: Exercise 1I - Work for an hour - trying to finish the exercises from wednesday In OneNote-private section->Periodic functions -exercises SL: In OneNote. Do the exercises I will take attendance after the lesson and having checked, that you have uploaded your work to OneNote. In OneNote->private section->homework->Review Spearman HL Book 2, p. 163 #4+5 Practice 1 hr of Vector calculations. Do review 9A and 9B We are talking about Book 2 This is on bias and related to descriptive statistics Introduction video. This video coveres the entire chapter, so see it as inspiration or later as revision. EE_maths_exampleA_e.pdf description I hope you will enjoy the day and have fun with the exercises below In OneNote->Private section-> HomeWork->Exercises Graph Theory 1. Graph Theory Flashcard.pptx description 1 hour of exercises Voronoi in Pixar movies Preparation Revise, what you need to revise! Do exercise 10B on page 246 in book 1 (SL) We will start with chapter 27 - page 698 We are using Book 1 for SL 27B # 1,2,3,8,9,10,11 10D page 252 #1,2,3, 10, 17,24 HL: Review set 27A #1-11 We will look into the math that is ahead of us. And give a warm welcome to our new classmates. We will be using book 2 for differentiation. Rules for differentiation Afsnit Exercise p. 473-474 Do what you are missing from SL - do 2 exercises from 11A of your own choice, to make sure that you know the proces. HL - 9A page 497 1,2,4,5,10,11,12,13,14,15,21 SL crew invitation - do hand-in IA exploration process can be found in Teams - SL october 2025 test_answers.docx description HL October 2025_marks.docx description Do the exercises from the hand-out from previous lesson. Page 567 22A - 1-5,7 HL only page 579 #5+8 on integral by substitution. From Book 2 HL page 644-646 Bring a computer. We will look at examcookie. Do review set 25A - page 666. Bring book 2 IA criteria from IB.pdf Do exercises 1-4+7+8 Type I and Type II error We will meet again - everybody HL and SL - Yeaa Let’s try again Reflect on how to optimize the revision lessons.
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