Undervisningsbeskrivelse
Stamoplysninger til brug ved prøver til gymnasiale uddannelser
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Termin(er)
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2024/25 - 2025/26
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Institution
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X - Ikast-Brande Gymnasium
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Fag og niveau
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Matematik -
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Lærer(e)
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Anders Kristensen
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Hold
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2024 MathApSL (1i MathApSL, 2i MathApSL)
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Oversigt over gennemførte undervisningsforløb
Beskrivelse af de enkelte undervisningsforløb (1 skema for hvert forløb)
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Titel
1
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Topic 1: Intro
Textbook References
Core SL 1: Chapters 1, 3, 4
Applications SL 2: Chapter 1
Key Concepts
- Equations of lines
- Graphing lines
- Perpendicular lines
- Simultaneous equations
- Surds and radicals
- Exponents
- Equations
- Solving equations on the GDC
- Significant figures
- Absolute and percentage error
TOK Connections
- Precision vs. Accuracy: How do mathematical conventions influence our understanding of error and measurement?
- Symbolic Representation: How do symbols and notation shape mathematical thinking and communication?
ATL Skills
- Thinking: Apply logic and reasoning to solve equations and interpret graphs.
- Communication: Use appropriate mathematical language and notation.
- Research: Explore real-world contexts where error estimation is critical (e.g., engineering, science).
TI-Nspire Calculator Skills
- Graphing linear equations and analyzing intersections
- Solving simultaneous equations using the 'Solve' and 'Graph' features
- Using 'Approximate' and 'Exact' modes for radicals and surds
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Indhold
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Kernestof:
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Core Topics SL 1 - Hease Mathematics; sider: 20-21, 26, 28, 30, 34, 64-66, 68, 70-71, 84-87, 95-97
The red book
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New table groups
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Solving by hand
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Simultaneous equations GDC.pdf
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Examples
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Exercises in the last lesson
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Applications and Interpretations SL 2 - Hease Mathematics; sider: 16-20, 22-23, 25
The orange book
Skriftligt arbejde:
| Titel |
Afleveringsdato |
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Assignment 1 - In-class
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23-09-2024
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Assignment 2 - Equations
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29-10-2024
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
11 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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Titel
2
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Topic 2: Sequences
Textbook References
Core SL 1: Chapter 5
Key Concepts
- Number sequences
- Arithmetic sequences
- Geometric sequences
- Series
TOK Connections
- Patterns and Predictions: How do mathematical sequences help us understand and predict phenomena?
- Infinity and Convergence: What philosophical questions arise from infinite series?
ATL Skills
- Thinking: Recognize patterns and develop general rules.
- Communication: Represent sequences using appropriate notation.
- Self-management: Organize steps in solving sequence problems.
TI-Nspire Calculator Skills
- Summing series using sigma notation
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Indhold
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Kernestof:
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
7 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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Titel
3
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Topic 3: Financial math
b]Textbook References[/b]
Core SL 1: Chapter 5
Applications SL 2: Chapter 2
Key Concepts
- Compound interest
- Loans
- Annuities
TOK Connections
- Value and Time: How does mathematics help us understand the value of money over time?
- Ethics in Finance: What ethical considerations arise in financial modeling?
ATL Skills
- Thinking: Apply formulas to real-world financial problems.
- Research: Investigate financial products and their mathematical models.
- Communication: Explain financial decisions using mathematical reasoning.
TI-Nspire Calculator Skills
- Using finance solver for compound interest and loans
- Calculating annuities using built-in finance functions
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Indhold
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Kernestof:
Skriftligt arbejde:
| Titel |
Afleveringsdato |
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Test - Sequences + Finance
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29-11-2024
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
6 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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Titel
4
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Topic 4: Geometry and Trigonometry
Textbook References
• Core SL 1: Chapters 6, 7, 8, 9
• Applications and Interpretations SL 2: Chapter 17
Key Concepts
• Circles, arcs, sectors
• Right-angled triangles, Pythagoras, SOHCAHTOA
• Non-right angled triangles, sine and cosine rule
• Trigonometry in 3D geometry
• Voronoi diagrams and interpolation
TOK Connections
• How do geometric models help us understand spatial relationships?
• What is the role of abstraction in mathematical representations of space?
ATL Skills
• Thinking: Apply geometric reasoning and spatial visualization
• Communication: Use diagrams and notation to explain solutions
• Research: Investigate real-world applications of trigonometry and geometry
TI-Nspire Calculator Skills
• Using TI-Nspire to solve triangles using cosine, sine and tangent
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Indhold
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Kernestof:
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Core Topics SL 1 - Hease Mathematics; sider: 28, 146-147, 149, 151, 154, 158, 160, 164, 172-174, 176, 178, 180-181, 185, 190, 193, 202-205, 208-209, 212-213, 215, 228-230, 232
The red book
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Video - Work alone
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Exercise 7D - Work alone.pdf
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Video
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Exercise 7G.pdf
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Afsnit
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I highly recommend doing more of the questions from exercise 8E
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Microsoft Forms
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Martin will bring cake
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Applications and Interpretations SL 2 - Hease Mathematics; sider: 418-419, 422-423, 427-429, 431, 433, 435-436
The orange book
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The orange book!
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Free Tetris
Skriftligt arbejde:
| Titel |
Afleveringsdato |
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Mid-term
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17-01-2025
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Assignment 3 - In class
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07-02-2025
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Assignment 4 - Voronoi
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28-02-2025
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
22 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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Titel
5
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Topic 5: Sets & Probability
Textbook References
• Core SL 1: Chapters 2, 10
Key Concepts
• Set notation, Venn diagrams
• Experimental and theoretical probability
• Tree diagrams, conditional probability
TOK Connections
• How does probability influence decision-making under uncertainty?
• To what extent can randomness be modeled mathematically?
ATL Skills
• Thinking: Analyze probabilistic models and outcomes
• Communication: Represent events using set notation and diagrams
• Research: Explore probability in games, genetics, and risk analysis
TI-Nspire Calculator Skills
• Using TI-Nspire to simulate probability experiments
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Indhold
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Kernestof:
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Core Topics SL 1 - Hease Mathematics; sider: 40-45, 47, 51-52, 54, 56, 240-242, 245-248, 250-251, 258-261, 264-265, 268-269
The red book
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Dice rolling simulation
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Conditional prob - work alone.docx
Skriftligt arbejde:
| Titel |
Afleveringsdato |
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Test - Sets and probability
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25-03-2025
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
16 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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Titel
6
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Topic 6: Statistics
Book: Core SL 1
Chapters: 11 + 12
Book: Applications and Interpretations SL 2
Chapters: 5 + 16
- Sampling
- Data
- Frequency tables
- Mean, median, mode
- Range and interquartile range
- Box plots (box and whisker diagrams)
- Cumulative frequency graphs
- Standard deviation and variance
- Pearson's product-moment correlation coefficient
- Line of best fit by eye
- Line of best fit by regression
- Spearman's rank correlation coefficient
- t-test
- Two sample t-test
- Chi-squared goodness of fit test
- Chi-squared 2-way test of independence
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Indhold
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Kernestof:
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Core Topics SL 1 - Hease Mathematics; sider: 282-287, 290-291, 293-299, 306-308, 311, 313-317, 319-321, 323-327, 329, 332-334, 336-338
The red book
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Applications and Interpretations SL 2 - Hease Mathematics; sider: 102-104, 107-109, 112-117, 123-125, 382-387, 393-399, 402-403, 405-409
The orange book
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Guess the Correlation
Skriftligt arbejde:
| Titel |
Afleveringsdato |
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Assignment 5 - In class
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29-04-2025
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End-of-year exam
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27-05-2025
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
25 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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Titel
7
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Topic 7: Probability distributions
Textbook References
• Applications and Interpretations SL 2: Chapters 14, 15
Key Concepts
• Random variables and distributions
• Binomial and normal distributions
TOK Connections
• How do probability distributions model uncertainty in the real world?
• What assumptions underlie statistical models?
ATL Skills
• Thinking: Analyze and interpret probability distributions
• Communication: Use notation and graphs to describe distributions
• Research: Apply distributions to real-world contexts (e.g., quality control)
TI-Nspire Calculator Skills
• Using TI-Nspire to calculate binomial and normal probabilities
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Indhold
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Kernestof:
Skriftligt arbejde:
| Titel |
Afleveringsdato |
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In-class: Probability distributions
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11-09-2025
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
11 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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Titel
8
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Topic 8: Functions
Book: Applications and Interpretations SL 2
Chapter: 3, 4, 6, 7, 8, 9
- Function notation
- Domain and range
- Graphs of functions
- Sign diagrams
- Tranformation of functions
- Inverse functions
- Modeling
- Linear model
- Simultaneous equations
- Quadratic functions
- Axes intercepts (roots)
- Axis of symmetry
- Vertex
- Intersection of graphs
- Power equations
- Using GDC to find models
- Exponential functions
- Logartithmic functions
- Periodic functions (sine + cosine)
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Indhold
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Kernestof:
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Applications and Interpretations SL 2 - Hease Mathematics; sider: 46-50, 53-54, 57-58, 60-61, 63-65, 69-71, 80-81, 86-87, 89, 94, 134-135, 137, 139-142, 144-145, 147-149, 152-154, 164-165, 168, 170, 172-176, 184-188, 191-193, 196, 199-201, 204-205, 208, 218-219, 221-227
The orange book
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Core Topics SL 1 - Hease Mathematics; sider: 30-35
The red book
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Work alone
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Models Simultaneous Equations
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Exercise 4D.pdf
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We will only focus on the form (formel)
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Work alone - Periodic bahavior.pdf
Skriftligt arbejde:
| Titel |
Afleveringsdato |
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In-class: Quadratic models
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30-10-2025
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
26 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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Titel
9
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IA
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Indhold
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Kernestof:
Skriftligt arbejde:
| Titel |
Afleveringsdato |
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IA proposal
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18-12-2025
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End of Writing Day 1
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19-01-2026
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End of Writing Day 2
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23-01-2026
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IA Complete version
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26-01-2026
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IA Polished version
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04-03-2026
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
12 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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Titel
10
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Topic 9: Calculus
Book: Applications and Interpretations SL 2
Chapter: 10, 11, 12, 13
- Rate of change
- Limits
- Gradient of a tangent
- The derivative functions
- Differentation
- Rules for differentation
- Equations of tangents
- Equations of normals
- Increasing and decreasig
- Stationary points (turning points or point of inflection)
- Optimizations problems
- Area under a curve using the trapezodial rule
- The Fundamental Theorem of Calculus
- Antidifferentation to fin the antiderivative
- Rules for integrations
- Finding the integration constant "c"
- Finding the area under a curve
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Indhold
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Kernestof:
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Applications and Interpretations SL 2 - Hease Mathematics; sider: 242-245, 247-249, 251-254, 256, 259-260, 263, 270, 273, 276-277, 288-289, 291, 293-295, 308-311, 318, 322-323, 325-326, 328
The orange book
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Schedule
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Afsnit
Skriftligt arbejde:
| Titel |
Afleveringsdato |
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Voluntary: Calculus
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27-03-2026
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Omfang
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Estimeret:
Ikke angivet
Dækker over:
27 moduler
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Særlige fokuspunkter
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Væsentligste arbejdsformer
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