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Tuesday 22.9.2009
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Topic 1: Polynomials
Time: 13:25 - 14:55
Feedback on the test.
Topic 1: Polynomials (pages 117-119 in the copies)
Homework: Exercise 4A: 1, 2, 3 (a, b, e, and f), 4 (a, f) 5 (a, b, d, e, and f).
As an additional exercise I want you to study as your homework pages 120-122 excluding the remainder theorem on page 122.
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Friday 25.9.2009
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Topic 1: Dividing Polynomials
Time: 08:00 - 09:30
Homework discussion.
Topic 1 continues: Dividing polynomials (pages 120-121 in the copies)
Exercises 4B: 1 and 2
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Monday 28.9.2009
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Topic 2: Simple Quadratic Equations
Time: 14:10 - 15:40
Topic 2: Quadratic Equations
Chapter 9 Quadratic equations page 213- in the 2nd ed., or Chapter 11 Quadratic equations page 241- in the 1st ed.
A Quadratic Equations of the Form x^2=k.
Exercise 9A: 1 and 2.
B Solution by Factorisation
Exercise 9B1: 1 and 2.
Exercise 9B2: 1 in full and 2 a, b, c, d.
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Tuesday 29.9.2009
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Topic 2: Genera Quadratic Equations: The Quadratic Formula
Time: 13:25 - 14:55
E The Quadratic Formula (page 227-)
Exercise 9E.1: 1 a, b, c, 4 and 5.
Exercise 9E.3: 1 a, b, and c, 2 a, b, and c.
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Friday 2.10.2009
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Quadratic Formula: the number of solutions
Time: 08:00 - 09:30
The discriminant and number of solutions to a quadratic equation. The graph of a quadratic function. The intersection points.
Pages 229-231 in the 2nd ed.
Exercises 9E2: 1 and 2, and 9E3: 1, 2, 3, and 4.
Homework: 9E2: 2 a, b, k, l; 9E3: 2 a, e, f; 4 a, c, f.
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Monday 5.10.2009
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Topic 2: General Quadratic Equations: Factorisation
Time: 13:25 - 14:55
Chapter 2F Factorising Quadratic Trinomials, page 55- in 2nd ed., or Chapter 2F: Factorising Quadratic Trinomials, page 169- in 1st ed.
Exercise 2F: 1 a,b, and c, and 2 a, b, and c.
Topic 2: Quadratic Equations: Solution by Factorisation (cont.)
Exercise 9B2: 2 d, e, f, j, k, l
Topic 2 Quadratic Equations: C Completing the Square (page 220-)
Exercise 9C 1: a, b, h, i
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Tuesday 6.10.2009
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Chapter 13: Formulae
Time: 13:25 - 14:55
Pages 309-319 in the 2nd edition.
Exercises 13A: 1 and 2; 13B2: 2; 13C2: 1, 2 and 6.
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Friday 9.10.2009
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The sum and product of roots, factorising quadratic polynomials
Time: 08:00 - 09:30
Lesson notes.
Pages 66-75 in the copies.
Problems 163, 165, 168 and 169 on page 73 in the copies.
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Monday 19.10.2009
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Interval notation and sign diagrams
Time: 12:20 - 13:50
Chapter 19.
Exercises 19A 1, 2 abc jkl 4 abc jkl
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Tuesday 20.10.2009
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Linear inequalities
Time: 13:25 - 14:55
Copies.
Selected exercises for future Mathematical Studies, SL and HL students.
You did very well as a group today.
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Friday 23.10.2009
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Quadratic Inequalities
Time: 08:00 - 09:30
Copies: "11 Toisen asteen epäyhtälö"
The graph of a quadratic function. The intersection points and the discriminant.
Three examples of quadratic inequalities (Esimerkit 1, 2 ja 3 sivuilla 125-127).
Exercises from Sarja 1:
290 and 291 for everybody
292-293 SL
294 295 296 HL (+ SL if you have time)
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Monday 26.10.2009
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Quadratic Inequalities: applied problems
Time: 12:20 - 13:50
Examples 4 and 5 from the copies.
Exercises 304 and 306 a)
Homework problems 306 b 307 and 309.
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Tuesday 27.10.2009
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Higher Inequalities
Time: 13:25 - 14:55
Pages 134-144 in the copies.
Problems 312, 313 and 314 on page 142.
Homework problems: 316 and 320.
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Friday 30.10.2009
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Mathematics Subject Levels
Time: 08:00 - 09:30
Information about Mathematical Studies, Mathematics Standard Level and Mathematics Higher Level.
Exercises along the course.
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Monday 2.11.2009
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Chapter 17: Quadratic Functions, Summary of Test Topics
Time: 13:25 - 14:05
Summary of the course II.
17 A: Exercise 6 and 7.
Selected exercises from page 225.
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