Holdet 1i Math (2025/26) - Undervisningsbeskrivelse - Lectio

Holdet 1i Math (2025/26) - Undervisningsbeskrivelse

Undervisningsbeskrivelse

Stamoplysninger til brug ved prøver til gymnasiale uddannelser

Termin(er)	2025/26
Institution	Esbjerg Gymnasium
Fag og niveau	Matematik -
Lærer(e)	Niels Brage
Hold	2025 Math/i (1i Math)

Oversigt over gennemførte undervisningsforløb

Titel 1	Course outline for PreIB math
Titel 2	Algebra 1
Titel 3	Graphs and functions
Titel 4	Numbers
Titel 5	Algebra 2
Titel 6	Geometry and trigonometri
Titel 7	Probability and statistics
Titel 8	Preparation for Mock exam

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

Titel 1	Course outline for PreIB math Cambridge IGCSE: Mathematics: Core and Extended - 3rd edition by Ric Pimentel and Terry Wall Topics included in the course: Algebra 1: Chapter 3 and 11. Graphs and functions: Chapters 28, 17, 18 and 19. Numbers: Chapters 1, 2, 4, 5, 6, 7, 8 and 10. Algebra 2: Chapters 12 and 13. Geometry and trigonometry: Chapters 20, 22, 27, 30 and 31. Probability and statistics: Chapters 35, 36, 37, 38 and 39.
Indhold	Kernestof: First lesson: We meet in the classroom and after the roll call we will pick up the book used for the entire course. I'm looking forward to meeting you all. Topics included in the course: Algebra 1: Chapter 3 and 11. Graphs and functions: Chapters 28, 17, 18 and 19. Numbers: Chapters 1, 2, 4, 5, 6, 7, 8 and 10. Algebra 2: Chapters 12 and 13. Geometry and trigonometry: Chapters 20, 22, 27, 30 and 31. Prob
Omfang	Estimeret: 1,00 modul Dækker over: 1 moduler
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Titel 2	Algebra 1 Chapter 3: Calculations and order Ordering: (Signs for ordering e.g: equal to, not equal to, greater than, less than, greater than or equal to, less than or equal to) The Number line The order of operations: (1) Brackets, (2) Powers/roots, (3) Multiplication/division (4) Addition/subtraction Chapter 11: Algebraic representation and manipulation Expanding a bracket Expanding a pair of brackets Simple factorising Substitution Transformation of formulae Further expansion Further factorization Evaluation Factorising quadratic expressions Transformation of complex formulae Algebraic fractions Simplifying complex algebraic fractions
Indhold	Kernestof: Formula Booklet Math AI SL & HL.pdf Ask for a walkthrough of any exercise in chapter 3 if you need it! We will start on chapter 11. You can have one more lesson working with chapter 11 or we will start on chapter 28 - Majority rules!
Omfang	Estimeret: 4,00 moduler Dækker over: 4 moduler
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Titel 3	Graphs and functions Chapter 28 - Straight-line graphs - The gradient of a straight line - The equation of a straight line - The general equation of a straight line - Parallel lines and their equations - Drawing straight line graphs - Graphical solutions of simultaneous equations - Calculating the length of a line segment - The midpoint of a line segment - The equation of a line through two points - Perpendicular lines Chapter 17 - Graphs in practical situations - Conversion graphs - Speed, distance and time - Gradient(speed) = distance / time - Travel graphs (distance as a function of time) - Speed-time graphs (Speed as a function of time), gradient on this graph is the acceleration / decelereation - Area under speed-time graphs (it gives the distance) Chapter 18 - Graphs of functions - Quadratic functions (parabola) - Graphical solution of a quadratic equation - Reciprocal function (hyperbola) - Types of graph (linear (straight line), quadratic (parabola), cubic (cubic curve), reciprocal (hyperbola) - Cubic functions (cubic curve) - Exponential functions - Gradients of tangents to different curves (by using the two point-formula) - Solving equations by graphical methods Chapter 19 - Functions - Notation f(x) - Inverse functions - Composite functions
Indhold	Kernestof: We start on chapter 28. Work 30 min on exercises 28.1 - 28.8. If needed walkthroughs in the beginning of the lesson. In this lesson we will focus on finding the equation of a line through two points and perpendicular lines. 17.1 – 17.4 17.5 – 17.7 We will spend the lesson working on exercises from chapter 17. We start on chapter 18. We practise for the upcoming test on Friday. We meet on the music side of "boksen" at 10.00. Remember to bring your own stationary, a calculator and the paper version of the book. All other notes or electronic devices are not allowed. I will bring scratch paper and formula booklets. Prepare a solution to an exercise you can show me. We will start on or continue on chapter 19. Prepare a solution to an exercise from chapter 19. Another option is to prepare a question to an exercise from chapter 19.
Omfang	Estimeret: 16,00 moduler Dækker over: 18 moduler
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Titel 4	Numbers Chapter 1 - Number and language The set of Natural numbers(N), Integers(Z), Rational numbers(Q) and Real numbers(R) Rational and irrational numbers Prime numbers, Square numbers, Cube numbers Factors, Highest common factor, roots Chapter 2 - Accuracy Approximation, Rounding, Lower/Upper bound and Significant figures Chapter 4 - Integers, fractions, decimals and percentages Fractions and different rules, Fraction to decimal, Decimal to fraction and Recurring decimal to fraction Chapter 5 - Further percentages Percentage, Increase/decrease (and multipliers, ex 5% increase is equivalent to a multiplier of 1.05) Chapter 7 - Indices and standard form Laws of indices, the zero index, negative indices, Exponential equation (and logarithms) and Standard form Chapter 8 - Money and finance Interest and Compound interest Chapter 10 - Set notation and Venn diagrams Sets, Subsets, Universal set, Complement, Empty set, Set notation (intersection and union) and Venn diagrams Chapter 6 - Ratio and proportion Direct proportion, Divide a ratio into a given ratio, Inverse proportion, Increase and decrease by a given proportion.
Indhold	Kernestof: Prepare a solution to an exercise from chapter 19. Another option is to prepare a question to an exercise from chapter 19. We will start on chapter 1. We will start on chapter 2. Prepare a solution to an exercise from chapter 1. Another option is to prepare a question to an exercise from chapter 1. Georg Mohr You need to decide in this lesson if you want to participate in the Georg Mohr competition. It is voluntary and I will arrange where you can take the test. Prepare an answer to one of the exercises i 2.1 – 2.4. Alternatively prepare a question to one of the same exercises Prepare an answer to one of the exercises in chapter 2. Alternatively prepare a question to one of the same exercises. MG is joining us. Also we will start on the next chapter (4) Georg Mohr You need to decide in this lesson if you want to participate in the Georg Mohr competition. It is voluntary and I will arrange where you can take the test. I will need your answer to this. We are finishing off chapter 4: Dealing with fractions. You can read pp 34 – 41 Before the lesson you should work 30 min on the exercises in chapter 4. Prepare an answer to one of the exercises in chapter 4. Alternatively prepare a question to one of the same exercises. We will start on the next chapter (5) we will start on chapter 6 Before the lesson you should work 30 min on the exercises in chapter 6. Prepare an answer to one of the exercises in chapter 6. Alternatively prepare a question to one of the same exercises. We will start on chapter 7. Room 014 for students who has yet to hand in assignment 7. We start on chapter 8. Repetition lesson. You can work on any exercise from the chapters that we have covered so far. We will start on chapter 10. Venn diagram problems.docx description Last lesson with the subject Numbers.
Omfang	Estimeret: 18,00 moduler Dækker over: 16 moduler
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Titel 5	Algebra 2 Algebra and graphs Chapter 12 Algebraic indices Chapter 13 Equations (simple, advanced and use of the quadratic formula) and inequalities
Indhold	Kernestof: We will start on chapter 12. It is a very short chapter mostly repetition of chapter 7. We will start on chapter 13. We have covered exercises 13.1 - 13.6 in the last lesson and will move on with solving quadratic equations. Examples: A Different Way to Solve Quadratic Equations We will look at linear inequalities today. Repetition lesson for chapters 11 – 13.
Omfang	Estimeret: 5,00 moduler Dækker over: 5 moduler
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Titel 6	Geometry and trigonometri Chapter 20 - Geometrical vocabulary Chapter 22 - Similarity Chapter 27 - Perimeter, area and volume Chapter 30 and 31 - Trigonometry
Indhold	Kernestof: You can work on the practise paper for math test # 2 Math test # 2. Review of test 2.
Omfang	Estimeret: 12,00 moduler Dækker over: 11 moduler
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Titel 7	Probability and statistics Probability Chapter 35 - Probability Chapter 36 - Further probability Statistics Chapter 37 - Mean, median, mode and range Chapter 38 - Collecting and displaying data - Not including histograms Chapter 39 - Cumulative frequency
Indhold	Kernestof: We will start on chapter 35 We will look at relative frequency and start on chapter 36. 10 Probability Problems.docx description we will start on chapter 37. correlation_game_bundle_latest_v2 2.zip description Chapter 39.
Omfang	Estimeret: 12,00 moduler Dækker over: 11 moduler
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Titel 8	Preparation for Mock exam Preparation for Mock exams
Indhold	Kernestof: Mock Exam collection of training exercises 2016-2020 .docx description Mock Exam Math 1i 2021.pdf description Mock Exam Math 1i 2021 - solution.pdf description Mock Exam Math 1i 2024.pdf description Test 3 1i 2025.docx description Preparation for Test 3 and the Mock Exam Trigonometry new type of question.docx description
Omfang	Estimeret: 10,00 moduler Dækker over: 11 moduler
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