Holdet 3i ma HL (2024/25) - Undervisningsbeskrivelse - Lectio

Holdet 3i ma HL (2024/25) - Undervisningsbeskrivelse

Undervisningsbeskrivelse

Stamoplysninger til brug ved prøver til gymnasiale uddannelser

Termin(er)	2023/24 - 2024/25
Institution	Kolding Gymnasium
Fag og niveau	Matematik -
Lærer(e)	Ritt Sønnichsen
Hold	2023 maHL/i (2i ma HL, 3i ma HL)

Oversigt over gennemførte undervisningsforløb

Titel 1	Trigonometry and Vector Geometry
Titel 2	Functions
Titel 3	Differential calculus
Titel 4	Sequence and Series
Titel 5	Complex numbers, Polynomials and further functions
Titel 6	Calculus: Integration and differential equations
Titel 7	Vectors and complex numbers
Titel 8	Statistics and probability

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

Titel 1	Trigonometry and Vector Geometry Blue book: Chapter 1, 6-10. Green book: Chapter 12 A-M, Chapter 13 A-F
Indhold	Kernestof: Trigonometry Right Angled Trigonometry Problems with sector and arc length Mathematics Core Topics HL (BLUE); sider: 199-202, 208-220, 393-404 TI-84 Plus CE-T Python Edition kr. 1.045,00 Non-right angled triangle geometry image.png Non-right Angled Trigonometry Bring the Green book Vectors - bring the Green book exam questions for Friday 01.09.docx Vectors Mathematics AA2 (Green); sider: 270-306, 324-342 Short Unit test with out a calculator Vectors basic concepts and operations.docx Groups 21.08.2023.pdf The scalar product Try to look at problem 13A 4 page 327 20 minutes with Become a master of vector equations of lines in 3D Constant Velocity Problems Unit test Given formulas for the unit test - vectors.docx Answers for Become a master 14 questions.pdf Test feedback Shortest distance from a point to a line Functions - Bring Blue book and calculator Assignment - questions Relationship between lines Functions - Bring calculator
Omfang	Estimeret: Ikke angivet Dækker over: 20 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 2	Functions Blue book: Chapter 1, 3, 4, 14-17 Green book: Chapter 1-3
Indhold	Kernestof: Mathematics Core Topics HL (BLUE); sider: 75, 80-86, 190-198, 360-370, 385-388, 400-401, 405-420, 425-442, 447-476 Quadratic functions Domain Quadratic functions and equations Assignment 5 and 6 Quadratic equations, Sum and product of the roots Questions for assignment 6? Quadratics Sum and product of the roots Quadratics and rational functions We start with exercise 4C.5 7b and 9 page 84 Kognity - Rational functions Composite and invers functions Kognity reading: Invers and composite function (read the examples and complete the check questions). Transformation of functions, skim-read the chapter before class Old Georg Mohr exercises Trigonometric functions Trigonometric equations Bring the Green book Mathematics AA2 (Green); sider: 17-37, 42-63, 68-90 Topics and groups Reciprocal Trigonometric functions Algebra with trigonometric functions Homework Proof of The double angle identities The compound angle identities for sine and cosine Finish the exercises with the double angle formula from the worksheet. Math profile (New from Nov 2023).docx Grades, evaluation of teaching and class activities Old homework Bring your computer for class OneNote for EE Exponents and Logarithms Laws of logarithms and change of base Equations with exponentials and logarithms Exponential functions Logarithmic functions EE in Mathematics Assignment - Do you have any questions for assignment 10? Plan
Omfang	Estimeret: Ikke angivet Dækker over: 24 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 3	Differential calculus Green Book Chapter 15, 16, 17 and 18
Indhold	Kernestof: Mathematics AA2 (Green); sider: 401-412, 417-427, 430-431, 436-439, 441-448, 463-469, 476, 485-501, 504-508 Introduction to differential calculus Maths Hl Calculus notes form Wednesday 24.01.2024.pdf Calculus Calculus - The Chain Rule Problem solving - 5 stations The Chain Rule.docx - from 2nd module Calculus - The Product Rule Calculus - The Quotient Rule Unit Test 4, in class with formula booklet (45 minutes) Homework: Use Kognity to practice using the rules (chain rule, product rule and quotient rule) to find derivatives Stationary points, increasing and decreasing Properties of curves.docx Homework 20 minutes with exercises from last week (it is ok if you haven't solved all questions) Questions for assignment 12? Second derivative, Shape and inflection points In class activity - bring computer Calculus and curves Limits, Continuity and Differentiability L'Hopitals rule Implicit differentiation
Omfang	Estimeret: Ikke angivet Dækker over: 15 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 4	Sequence and Series Arithmetic, Geometric and Binomial
Indhold	Kernestof: BRING BLUE BOOK Typical questions with Arithmetic and Geometric sequences Mathematics Core Topics HL (BLUE); sider: 90-125 Sequences Sequence and series exam style questions.docx Series
Omfang	Estimeret: Ikke angivet Dækker over: 6 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 5	Complex numbers, Polynomials and further functions Green book chapter 4, 5, 6 and 8
Indhold	Kernestof: Questions for Assignment 14 (Kognity - Sequence and Series) Mathematics AA2 (Green); sider: 99-107, 110-147, 164-168, 194-202 Complex numbers Polynomials Homework: 30 minutes with chapter 5 Chapter 5 Polynomials Chapter 5 Rational functions Transformation of graphs Bring Green book image.png Prepare your own mock exam Investigation (IA or Paper 3 style) Mock preparation.docx I can bring:
Omfang	Estimeret: Ikke angivet Dækker over: 12 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 6	Calculus: Integration and differential equations Green book Chapter 20-25
Indhold	Kernestof: Welcome back Statistics Mathematics AA2 (Green); sider: 544-558, 566-573, 590-622, 630-649, 674-676, 684-695, 697-699, 729-730 image.png Introduction to differential equations Integration 10 (or 20 minutes) with exercises from 21D In Class Partial fractions Integration by parts Integrals and approximating the area under a curve The definite integral From Monday - try to solve one integral! Plan Assignment 1 answer to problem 7 and 8.pdf Afsnit Area under a curve and between curves In class we will solve the problems with the area and the y-axis and spend some time on the Kognity assignment. Areas Volumes of solids of revolution Solids of revolution Kinematics Assignment Unit test integration - bring your formula booklet Eulers Method Feedback Time to work on/finish assignment 3 Math Exploration critical reading task.docx Plan (Bring computer) Example with Differential equations and Euler's method - skimm read and use the criteria to mark it. Plan (bring computer) Test preparations Maclaurin series developed from a differential equation Exploration New topic
Omfang	Estimeret: Ikke angivet Dækker over: 31 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 7	Vectors and complex numbers Green book chapter 11-14
Indhold	Kernestof: Solving 3 x 3 systems of linear equations 3x3systems of linear equations.docx Vectors and time to work with your outlines for the exploration Mathematics AA2 (Green); sider: 270-317, 368-395 Time to work on your Math exploration or continue with vectors Exercise 12N.2 page 316 Homework: finish Exercise 12N.1 10 and 12 (cross-product) Time to work on your Math exploration or continue with vectors and planes. Exploration and vector work Vectors and planes 30 min vector test with planes lines etc as we practiced Monday IA questions and complex numbers Perpendicular distance between planes.docx Groupwork 45 minutes Green book chapter 13 In Class Complex numbers Math Exploration critical reading task Monday 28.10.2024.docx In Class - De Moivre's Theorem IA Feedback Uses of De Movire's theorem in problem solving Kognity nth roots of a complex number IA Feedback: Titouan, Illya nth roots of unity Conjugate root theorem Please answer this questionnaire during the class: Microsoft Forms
Omfang	Estimeret: Ikke angivet Dækker over: 20 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Titel 8	Statistics and probability Green book chapter 7, 26-28 Blue book chapter 2, 11-13
Indhold	Kernestof: In class Revision: Binomial expansions Mathematics AA2 (Green); sider: 164-168, 175-190, 194-205, 565-581, 656-661, 737-764, 771-777, 797 Topics in the Mock exam 2025.docx Revision: Binomial Theorem Revision: Binomial theorem for rational powers Mathematics Core Topics HL (BLUE); sider: 92-95, 114-117, 186-189, 199-200, 207-215, 248-270, 275-283 In Class Revision: Arithmetic sequence and series Paper 3 support for students Revision: Pythagorean identity. Non right angled trigonometry - area and cosine rule. Independent and dependent events, Bayes' Theorem Revision: probability matrix.docx Revision See Kognity and homework for Monday Revision - bring Green book In class - Discrete random variables Probability - Finish all exercises from Monday and Tuesday The binomial distribution: new p 756-764 Mock evaluation Discrete random variables: review p 738-755 The Binomial Distribution Binomial distribution The Standard Normal Distribution 45 min in class: Normal distribution Continuous random variables
Omfang	Estimeret: Ikke angivet Dækker over: 18 moduler
Særlige fokuspunkter
Væsentligste arbejdsformer

Vis samlet undervisningsbeskrivelse samt elevtilknytning til forløb