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Holdet 2023 ma/AASL - Undervisningsbeskrivelse
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Undervisningsbeskrivelse
Stamoplysninger til brug ved prøver til gymnasiale uddannelser
Termin(er)
2023/24 - 2024/25
Institution
X - Hasseris Gymnasium
Fag og niveau
Matematik -
Lærer(e)
Thomas Bastholm Lynge, Tina Madsen
Hold
2023 ma/AASL (
IB1 maAASL
,
IB1 maAASL study
,
IB2 maAASL
,
IB2 maAASL study
)
Oversigt over gennemførte undervisningsforløb
Titel 1
1) Algebra & Function Basics
Titel 2
MathAA SL
Titel 3
2) Functions
Titel 4
2) Exponential & Logarithmic Functions
Titel 5
3) Trigonometric Functions & Equations
Titel 6
3) Geometry & Trigonometry
Titel 7
5) Differential Calculus I
Titel 8
5) Differential Calculus II
Titel 9
Revision
Titel 10
5) Integral Calculus I
Titel 11
1) Sequences & Series
Titel 12
Math IA
Beskrivelse af de enkelte undervisningsforløb (1 skema for hvert forløb)
Titel 1
1) Algebra & Function Basics
Indhold
Kernestof:
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 2-7, 16-21, 24-34, 36-46
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 2-14, 17-26, 28-38
Polynomial Root Finder and Simultaneous Equation Solver App
Ex. 1.1:1-5.
Ex. 1.2:1-11.
Ex. 1.3:1-7.
Ex. 1.4:1-4,5a-g,6-10.
Ex. 1.4:1-4,5a-g,6-8.
Ex. 1.5:1-4.
Omfang
Estimeret:
Ikke angivet
Dækker over: 7
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 2
MathAA SL
Course Overview
Course book: Ibrahim Wazir & Tim Garry,
Mathematics Analysis and Approaches for the IB Diploma SL
______________________________________________
IB1
______________________________________________
Topic 1: Number and Algebra
Course book Ch. 1
Topic 2: Functions
Course book Ch. 2,4
Topic 3: Geometry and Trigonometry
Course book Ch. 5-6
Topic 4: Statistics and Probability
Course book Ch. 7
Topic 5: Calculus
Course book Ch. 9-11
______________________________________________
IB2
______________________________________________
Topic 1: Number and Algebra
Course book Ch. 3
Topic 4: Statistics and Probability
Course book Ch. 8,12
IA
Indhold
Kernestof:
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 2-7, 16-21, 24-34, 36-46, 60-64, 67-70, 80-85, 87, 89-94, 108-113, 115-120, 122-132, 135-140, 162-169, 173-178, 180-187, 190-198, 236-242, 244-249, 251-260, 263-270, 272-274, 278-281, 302-306, 308-313, 317-324, 328-339, 574-596, 599-611, 614-618, 628-640, 648-651, 660-667, 677-682, 698-706, 718-728, 733-738, 748-754, 895-901
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 2-14, 17-26, 28-38, 46-55, 57-68, 72-77, 79-84, 86-96, 99-104, 114-120, 123-134, 137-143, 150-156, 158-162, 164-172, 175-187, 192-196, 198-203, 207-214, 217-228, 257-272, 350-369, 371-384, 388-392, 400-409, 411-417, 419-423, 432-440, 442-449, 451-455, 457-464, 519-525
Polynomial Root Finder and Simultaneous Equation Solver App
Ex. 1.1:1-5.
Ex. 1.2:1-11.
Ex. 1.3:1-7.
Ex. 1.4:1-4,5a-g,6-10.
Ex. 1.4:1-4,5a-g,6-8.
Ex. 1.5:1-4.
Ex. 2.2:1abce,2abce,3acd,4-14,18.
Ex. 2.1:1abc,2abce,3acd,4-16.
Ex. 2.4:1a-h,2-3,5.
Ex. 2.2:1-3,5-6.
Ex. 2.5:1bcefgilmou,3-5,6a,7,9b.
Ex. 2.3:1b-i,1k-n,2-5,6a,7-8.
Ex. 4.1-2:1-4,7-17,20.
Ex. 4.1:1-4,7-14,16.
Ex. 2.6:1a-i,k-o.
Ex. 4.3:1-11.
Ex. 4.2:1-7.
Ex. 4.4:1-16.
Ex. 4.3:1-5,7-15.
Ex. 4.5:1-13.
Ex. 4.4:1-13.
Ex. 6.1:1-18.
Ex. 5.1:1-18.
Trigonometric functions - Unit Circle
Ex. 6.2:1-8.
Ex. 5.2:1-8.
Ex. 6.3:1-8.
Ex. 5.3:1-6.
Ex. 6.4:1-3.
Ex. 5.4:1-3.
Ex. 6.4:4-7.
Ex. 5.4:4-6,7abf.
Ex. 6.5:4-5,12cd.
Ex. 5.4:7cdegh,8-9.
Ex. 6.6:1-2,3a-e,4-8.
Ex. 7.1:1-15.
Ex. 6.1:1-15.
Ex. 7.2:1-19.
Ex. 6.2:1-16.
Ex. 7.3:1-20.
Ex. 6.3:1-15.
Ex. 7.3:11-22.
Ex. 6.3:10-17.
Ex. 7.4:1-16,17a,18.
Ex. 6.4:1-15.
Ex. 12.1:1-10.
Ex. 9.1:1-6.
Ex. 12.2:1-3,5,9-11.
Ex. 9.2:1,2abcdfgh,5,8.
Ex. 12.2:4,6-8,12-16.
Ex. 9.2:2ei,3-4,6-7,9.
Ex. 12.3:1-2,10,15.
Ex. 9.3:1-2,11,16.
Ex. 12.3:3,5,8-9,11-13.
Ex. 9.3:3,5-6,9-10,12-14.
Ex. 12.3:4,6-7,14.
Ex. 9.3:4,7-8,15.
Ex. 12.4:1-10.
Ex. 9.4:1-10.
Ex. 12.4:11-18.
Ex. 9.4:12-16.
Ex. 13.1:1abdeghjk,2abc,3,4ab,5.
Ex. 10.2:1abdeghjk,2-3,4abcf,5ab,6.
Ex. 13.1:1cilo,6,11.
Ex. 10.3:1bdg,2c,5,6b,7.
Ex. 13.1:1fmn,2d,4c,7-9,10,12.
Ex. 10.3:1fhjl,2ab,4,6ac,8-10.
Ex. 13.2:1-13,14ab.
Ex. 10.1:1-7.
Ex. 10.3:1aceik,3.
Ex. 13.3:1a-jl,2-8.
Ex. 10.2:1cl,4e,5c.
Ex. 13.5:1-14.
Ex. 10.4:1-16.
Ex. 13.6:1-3.
Ex. 14.1:1a-jl,2a-d.
Ex. 11.1:1a-il,2a-d.
Ex. 14.1:1km-o,2e,3-4.
Ex. 11.1:1km-o,2e,3a-hjlmn,4ace-m.
Ex. 14.4:4-5,9-10.
Ex. 11.2:3,7.
Ex. 14.4:1-3,6-8.
Ex. 11.2:1-2,4-6.
Ex. 14.5:1.
Ex. 14.6:1a-lr-v.
Ex. 11.3:1.
Diagram for Ex. 14.6.2.pdf
Ex. 14.6:1m-q,2-9.
Ex. 11.3:3-6.
Ex. 14.8:1-10.
Ex. 11.4:1-10.
Ex. 9.5:4-9.
Review and update your mock exam papers by referring to the mark schemes and my solutions so that you are able to demonstrate progress in your learning process.
Ex. 3.1:1-6.
Ex. 3.2:1-16.
Ex. 3.3:1-20.
Ex. 2.3:15,20-22.
Ex. 3.4:1,3,8-11,13-16,18.
Ex. 3.4:2,4-7,17,19-25.
Ex. 4.1-2:19.
Ex. 4.1:15.
Ex. 3.6:1-11,13-15,17-26.
Measures of central tendency.docx
Sampling - exercises.pdf
Measures of spread - notes (students).pdf
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 467-470
Measures of spread - AA exercises (incl worked solutions).pdf
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 470-483
Correlation, linear regression and covariance.pdf
Exercise 8.1 in SL book.pdf
Operations with events - worked solutions.pdf
Operations with events - investigations & exercises.pdf
Bring a coin if possible
Binomial distribution.pdf
fill-in proof (expected and variance).pdf
master (expected and variance).pdf
Continuous distributions.docx
Investigation 1.docx
Continuous distribution - exercises.docx
Worked solutions - normal distribution.pdf
Normal distribution - exercises.pdf
Math IA Examples.pdf
Math A&A Subject Guide.pdf
TSM.pdf
Present three different topic proposals for your math IA.
Prepare a five minute presentation of your Math IA topic including the status of your 1st draft.
Prepare a two minute presentation of your Math IA showing the status of your work.
Ex. 16.4:9.
Present a printet "Zeroth Draft" of your Math IA showing the current status and outlining the structure of your First Draft.
Read my comments to your First Draft so you can ask clarifying questions.
Review and update your answers to the mock exam questions by referring to the mark schemes and my solutions so that you are able to demonstrate progression in your learning process on the board.
Review your answers by comparing with my solution and the markscheme.
Use of calculators in IB DP examinations 2025 - version 1.0.pdf
Omfang
Estimeret:
Ikke angivet
Dækker over: 114
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 3
2) Functions
Indhold
Kernestof:
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 60-64, 67-70, 80-85, 87, 89-94
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 46-55, 57-68
Ex. 2.2:1abce,2abce,3acd,4-14,18.
Ex. 2.1:1abc,2abce,3acd,4-16.
Ex. 2.4:1a-h,2-3,5.
Ex. 2.2:1-3,5-6.
Ex. 2.5:1bcefgilmou,3-5,6a,7,9b.
Ex. 2.3:1b-i,1k-n,2-5,6a,7-8.
Omfang
Estimeret:
Ikke angivet
Dækker over: 7
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 4
2) Exponential & Logarithmic Functions
Indhold
Kernestof:
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 162-169, 173-178, 180-187, 190-198
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 114-120, 123-134, 137-143
Ex. 4.1-2:1-4,7-17,20.
Ex. 4.1:1-4,7-14,16.
Ex. 2.6:1a-i,k-o.
Ex. 4.3:1-11.
Ex. 4.2:1-7.
Ex. 4.4:1-16.
Ex. 4.3:1-5,7-15.
Ex. 4.5:1-13.
Ex. 4.4:1-13.
Omfang
Estimeret:
Ikke angivet
Dækker over: 8
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 5
3) Trigonometric Functions & Equations
Indhold
Kernestof:
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 236-242, 244-249, 251-260, 263-270, 272-274, 278-281
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 150-156, 158-162, 164-172, 175-187
Ex. 6.1:1-18.
Ex. 5.1:1-18.
Trigonometric functions - Unit Circle
Ex. 6.2:1-8.
Ex. 5.2:1-8.
Ex. 6.3:1-8.
Ex. 5.3:1-6.
Ex. 6.4:1-3.
Ex. 5.4:1-3.
Ex. 6.4:4-7.
Ex. 5.4:4-6,7abf.
Ex. 6.6:1-2,3a-e,4-8.
Omfang
Estimeret:
Ikke angivet
Dækker over: 8
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 6
3) Geometry & Trigonometry
Indhold
Kernestof:
Ex. 6.5:4-5,12cd.
Ex. 5.4:7cdegh,8-9.
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 302-306, 308-313, 317-324, 328-339
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 192-196, 198-203, 207-214, 217-228
Ex. 7.1:1-15.
Ex. 6.1:1-15.
Ex. 7.2:1-19.
Ex. 6.2:1-16.
Ex. 7.3:1-20.
Ex. 6.3:1-15.
Ex. 7.3:11-22.
Ex. 6.3:10-17.
Ex. 7.4:1-16,17a,18.
Ex. 6.4:1-15.
Omfang
Estimeret:
Ikke angivet
Dækker over: 7
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 7
5) Differential Calculus I
Indhold
Kernestof:
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 574-596, 599-611, 614-618
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 350-369, 371-384, 388-392
Ex. 12.1:1-10.
Ex. 9.1:1-6.
Ex. 12.2:1-3,5,9-11.
Ex. 9.2:1,2abcdfgh,5,8.
Ex. 12.2:4,6-8,12-16.
Ex. 9.2:2ei,3-4,6-7,9.
Ex. 12.3:1-2,10,15.
Ex. 9.3:1-2,11,16.
Ex. 12.3:3,5,8-9,11-13.
Ex. 9.3:3,5-6,9-10,12-14.
Ex. 12.3:4,6-7,14.
Ex. 9.3:4,7-8,15.
Ex. 12.4:1-10.
Ex. 9.4:1-10.
Omfang
Estimeret:
Ikke angivet
Dækker over: 8
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 8
5) Differential Calculus II
Indhold
Kernestof:
Ex. 12.4:11-18.
Ex. 9.4:12-16.
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 628-640, 648-651, 660-667, 677-682, 698-702
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 400-409, 411-417, 419-423, 432-436
Ex. 13.1:1abdeghjk,2abc,3,4ab,5.
Ex. 10.2:1abdeghjk,2-3,4abcf,5ab,6.
Ex. 13.1:1cilo,6,11.
Ex. 10.3:1bdg,2c,5,6b,7.
Ex. 13.1:1fmn,2d,4c,7-9,10,12.
Ex. 10.3:1fhjl,2ab,4,6ac,8-10.
Ex. 13.2:1-13,14ab.
Ex. 10.1:1-7.
Ex. 10.3:1aceik,3.
Ex. 13.3:1a-jl,2-8.
Ex. 10.2:1cl,4e,5c.
Ex. 13.5:1-14.
Ex. 10.4:1-16.
Ex. 13.6:1-3.
Omfang
Estimeret:
Ikke angivet
Dækker over: 13
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 9
Revision
Indhold
Kernestof:
Review and update your mock exam papers by referring to the mark schemes and my solutions so that you are able to demonstrate progress in your learning process.
Read my comments to your First Draft so you can ask clarifying questions.
Review and update your answers to the mock exam questions by referring to the mark schemes and my solutions so that you are able to demonstrate progression in your learning process on the board.
Review your answers by comparing with my solution and the markscheme.
Use of calculators in IB DP examinations 2025 - version 1.0.pdf
Omfang
Estimeret:
Ikke angivet
Dækker over: 13
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 10
5) Integral Calculus I
Indhold
Kernestof:
Ex. 14.1:1a-jl,2a-d.
Ex. 11.1:1a-il,2a-d.
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 702-706, 718-728, 733-738, 748-754
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 436-440, 442-449, 451-455, 457-464
Ex. 14.1:1km-o,2e,3-4.
Ex. 11.1:1km-o,2e,3a-hjlmn,4ace-m.
Ex. 14.4:4-5,9-10.
Ex. 11.2:3,7.
Ex. 14.4:1-3,6-8.
Ex. 11.2:1-2,4-6.
Ex. 14.5:1.
Ex. 14.6:1a-lr-v.
Ex. 11.3:1.
Diagram for Ex. 14.6.2.pdf
Ex. 14.6:1m-q,2-9.
Ex. 11.3:3-6.
Ex. 14.8:1-10.
Ex. 11.4:1-10.
Omfang
Estimeret:
Ikke angivet
Dækker over: 12
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 11
1) Sequences & Series
Indhold
Kernestof:
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 108-113, 115-120, 122-132, 135-140
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 72-77, 79-84, 86-96, 99-104
Ex. 3.1:1-6.
Ex. 3.2:1-16.
Ex. 3.3:1-20.
Ex. 2.3:15,20-22.
Ex. 3.4:1,3,8-11,13-16,18.
Ex. 3.4:2,4-7,17,19-25.
Ex. 4.1-2:19.
Ex. 4.1:15.
Omfang
Estimeret:
Ikke angivet
Dækker over: 5
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
Titel 12
Math IA
Indhold
Kernestof:
Math IA Examples.pdf
Math A&A Subject Guide.pdf
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches HL, Pearson Education Limited, 2019; sider: 895-901
Ibrahim Wazir and Tim Garry: Mathematics, Analysis and Approaches SL, Pearsons Education Limited, 2019; sider: 519-525
TSM.pdf
Present three different topic proposals for your math IA.
Prepare a five minute presentation of your Math IA topic including the status of your 1st draft.
Prepare a two minute presentation of your Math IA showing the status of your work.
Ex. 16.4:9.
Present a printet "Zeroth Draft" of your Math IA showing the current status and outlining the structure of your First Draft.
Omfang
Estimeret:
Ikke angivet
Dækker over: 7
moduler
Særlige fokuspunkter
Væsentligste arbejdsformer
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