Holdet 2023 IB/Math HL - Undervisningsbeskrivelse - Lectio

Holdet 2023 IB/Math HL - Undervisningsbeskrivelse

Undervisningsbeskrivelse

Stamoplysninger til brug ved prøver til gymnasiale uddannelser

Oversigt over gennemførte undervisningsforløb

Titel 1	Straight lines and Voronoi diagrams
Titel 2	Functions and calculus part 1
Titel 3	Trigonometry and trigonometric functions.
Titel 4	Series, functions and calculus part 2
Titel 5	Descriptive statistics, probability
Titel 6	Vectors and 2D kinematics
Titel 7	Calculus antiderivatives
Titel 8	Complex numbers
Titel 9	Bivariate statistics and chi square tests

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

Titel 1	Straight lines and Voronoi diagrams
Indhold	Kernestof: Haese Mathematics Read sections 1 A, B and C. Finish exercises 1C: 2, 3, 4. Challenge 1C: 7 www.khanacademy.org Read section 16A (Purple book) and finish exercises 16A: 1, 2, 3 and 6 Read sections 16 D and E and finish exerises 16D: 2, 3 and 4 and get more sleep!
Omfang	Estimeret: Ikke angivet Dækker over: 4 moduler
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Titel 2	Functions and calculus part 1 Functions, transformations of functions, quadratics, piece-wise functions, derivatives.
Indhold	Kernestof: Read sections 16 B and C (purple book) Read sections 15 A, B, C and E (blue book). Finish as much as possible of exercises 15A: 3, 7, 8, 15B: 6, 15C: 2, 3, 7 and 15E: 1, 5, 6. Read section 15F (blue book). Finish exercises 15F: 2, 3, 11 and 14. Consider trying one of the challenges 15F: 20 and 22. Loading Activity... Paper 1 MS.docx Read sections 16 A, B, C, D (Blue book). Do exercises 16A: 1 and 16B: 1, 3. Command terms.pdf Finish exercises 16D: 7 and 8 Titel Challenge - Prove the quadratic formula by completing the square. Read sections 14 A, B, C, E, F and G. Finish exercises 14G: 4, 5, 6 and 7 Describing Graphs.docx Last lesson we introduced derivatives (section 18A, but only for integer powers of x) and saw The paradox of the derivative \| Chapter 2, Essence of calculus Powers in direct and inverse variation.docx Practice using the laws of exponents exercises 3D: 1, 2, 11, 13 and 14 (chose a selection) Yesterday we did this -> Describing Graphs using derivatives.docx. The theory is in sections 19 C, D, E and F Read sections 19 C, D, E and F and 20 B. Finish exercise 20B: 4 Test! November test IB1 MS.docx Bearings.docx
Omfang	Estimeret: Ikke angivet Dækker over: 23 moduler
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Titel 3	Trigonometry and trigonometric functions. Trigonometry and trigonometric functions. Derivatives of trigonometric functions
Indhold	Kernestof: Finish exercises 17H: 1, 2 and 3 Trigmodels exam style.docx Optional, if you want to see an Oxford professor sweating over an IB exam. Oxford University Mathematician takes High School IB Maths Exam
Omfang	Estimeret: Ikke angivet Dækker over: 8 moduler
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Titel 4	Series, functions and calculus part 2 Exponential functions, logarithms, logistical functions, derivatives, rules of derivatives. Sequences and series. Funance.
Indhold	Kernestof: Read sections 18 B and 18 G. Finish exercises 18 B.2: 3 and 4 Read sections 1 C, D, E, F and G in the purple book. Finish exercise 1 G.2: 7 Read sections 1H and 18E (both in the purple book). (b) and (c) in example 11 in section 18E uses two rules for derivatives we haven't learned yet - so skip them. Koch-Snowflake-printer-friendly.pdf Koch-Snowflake-Area-printer-friendly.pdf Read sections 18 D, E and G Yesterday we covered sections 1I and 2 A, B and C and did exercises 1I: 1, 2, 3 and 2A: 1, 3 and 2C:1 Problems with logarithms.docx Problems on rational functions.docx Read sections 6 A, B, C, D and E. Tell me whether we need to cover some of it in class. Read sections 5 F, G and H. Finish exercises 5G: 1, 3, 5 and 8
Omfang	Estimeret: Ikke angivet Dækker over: 16 moduler
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Titel 5	Descriptive statistics, probability Descriptive statistics, probability, binomial distirbution, poisson distribution, normal distribution, linear combinations of normal distributed variables, the central limit theorem
Indhold	Kernestof: Descriptive statistics grouped observations.docx Paper 11.docx New mean and variance.docx Sampling techniques and errors cases.docx We covered chapter 13 (blue book) over the last two lessons. Make sure to read the chapter whenever you can find your time for it. Do investigation 4 page 352 in the blue book Introduction to Mathematics IA.pptx EE in Mathematics.pdf Assesment criteria Guide_Extended_essay_en.pdf On Lectio in the folder "Exploration IA" there are a lot of examples of IAs in math. Find one example and read it, then read the examiner's comments and grades. In this lesson, you should be able to tell the other students: Yesterday we covered sections 11A-E (blue book) and 27A (purple book). We did exercises 11B:1 and 11D: 7, 9, 13, 15, 17 and 18. Repeat homework (since no one did it - again!!!!!): Present your findings from paper 10. Read sections 11H and I and finish exercises 11H: 7, 9, 10, 12 and 11I: 2 Binomial distribution exam style.docx Have at least one calculation ready, that you think is likely to go into your IA to present to me today. Poisson distribution exam style.docx
Omfang	Estimeret: Ikke angivet Dækker over: 20 moduler
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Titel 6	Vectors and 2D kinematics
Indhold	Kernestof: 2D Kinematics.docx Paper 14 MS.docx IA: Finishing touches Related rates.docx
Omfang	Estimeret: Ikke angivet Dækker over: 15 moduler
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Titel 7	Calculus antiderivatives Antiderivatives, integration, kinematics
Indhold	Kernestof: Intro problems antiderivatives.docx Read section 22B and finish at least one exercise (that you did not already do in class) from section 22B Read section 22 E and finish exercise 22E: 4 Problems trapezoidal rule.docx Watch: https://www.youtube.com/watch?v=MwVBzE7Z5gw Volumes of revolution and integrals in applications.docx
Omfang	Estimeret: Ikke angivet Dækker over: 7 moduler
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Titel 8	Complex numbers
Indhold	Kernestof: Work through sections 24 A, B, C and D. Most of it you should know already, but the concepts of total displacement, total distance travelled and motion diagrams are new. Read sections 11 A, B and C. Do a couple of questions from problem 11C: 1 and 6 Complex numbers exam style.docx Paper 3 MS.docx
Omfang	Estimeret: Ikke angivet Dækker over: 7 moduler
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Titel 9	Bivariate statistics and chi square tests
Indhold	Kernestof: Combining trig using complex.docx Least square residuals.docx Paper 5 MS.docx chi squared examstyle.docx
Omfang	Estimeret: Ikke angivet Dækker over: 10 moduler
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