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Maths HL plan autumn 2011

34 | 22/8-26/8

Chapter 2

Introduction to quadratic functions, Solving quadratic equations, Quadratic functions

Exercise 1: 1ad, 2de, 3e, 4e

Exercise 2: 1ade, 2bdh, 3ab

Linear and quadratic inequalities, Nature of roots of quadratic functions

Exercise 3: 1a, 2acdgk, 3ab

Exercise 4: 1ade, 2-11

Chapter 3

Functions, Composite functions

Exercise 1: 1a, 2c, 3, 4, 7, 8, 10, 11-13

Exercise 2: 2, 3, 4ade, 5c, 7, 8de, 9

Inverse functions, Graphs of inverse functions

Exercise 3: 1-3, 4dgl, 5

Exercise 4: 1, 2c, 3a, 4

IB2: Revision exercises from chapter 1, 2, 3, 4

35 | 29/8-2/9

D-day Friday afternoon

Special functions, Drawing a graph

Exercise 5: 1, 4, 5-8 (do the sketching by hand), 12, 14, 17 (some extra exercises about absolute values will be handed out)

Exercise 6: 1jkm, 2cek

Transformations of functions, Rational functions

Exercise 7: 1-5, 6f, 7cf, 9ah

Something about polynomial functions (not chapter 4 though, probably GeoGebra)

IB2: Revision exercises from chapter 5, 6, 7, 11

36 | 5/9-9/9

Test on Friday

Chapter 5

Exponential functions, Logarithmic graphs

Exercise 1: 1gh, 2, 3def, 4be

Exercise 2: 1-6

Rules of logarithms

Exercise 3: 1acek, 2ad, 3adij, 4ac, 5, 6, 10af, 11e, 12

Logarithms on a calculator

Exercise 4: 1, 2, 3akn, 4, 5

IB2: Revision exercises from chapter 12, 13, 17

37 | 12/9-16/9

Exponential equations, Related graphs

Exercise 5: 1a, 2a, 3a, 4a, 5, 8, 11, 13, 14, 17

Exercise 6: 1, 2, 4-9

Chapter 1

Circle problems, Trigonometric ratios, Solving triangles

Exercise 1: 1abeij, 2aceh, 3af, 4ad, 5bc, 6c, 7, 8

Exercise 2: 1acfh, 2, 3, 4

Exercise 3: 1ac, 2, 3, 4, 5, 6ac, , 7, 10, ad, 12

Exercise 1: 13, 15, Exercise 3: 17, 18, 19

Sine rule the ambiguous case, Trigonometric functions and graphs, Reciprocal trigonometric functions, Composite graphs, Related angles

Exercise 4: 1acdg, 2-8 (draw the graphs on a paper without using GDC), 9

IB2: Hand out of portfolio task

38 | 19/9-23/9

D-day Thursday

(I'm hesitant about using rules like the "bow-tie-diagram")

Exercise 5: 1-5

Trigonometric equations, Inverse trigonometric functions

Exercise 6: 1dehi, 2dg, 3cdef, 4bc, 7, 14, 15

Chapter 7

Trigonometric identities

Exercise 1: 1-7

Compound angle formulae

Exercise 2: 1-5, 7, 9, 10, 13-15, 16

39 | 26/9-30/9

Test on Friday

Double angle formulae

Exercise 3: 1, 3, 4-6, 8, 10, 13

Using double angle formulae

Exercise 4: 1, 2, 4, 6ae

Play sine-functions using GeoGebra

40 | 3/10-7/10

No lessons Monday

Calculus until mock-exam!

41 | 10/10-14/10
42 | 17/10-21/10
43 | 24/10-28/10

D-day Tuesday morning

44 | 31/10-4/11

Autumn holiday

45 | 7/11-11/11
46 | 14/11-18/11

D-day Wednesday

Chapter 8 - Do "enough" of the exercises on following pages

Exercise 1 (p 186), Exercise 2 (p 189), Exercise 3 (p 192), Exercise 4 (p 200), Exercise 5 (p 203), Exercise 7 (p 213)

Note that we will do Exercise 6 (p 208) after having an extra lesson with IB1 to learn polynomial division

Chapter 9 - Do "enough" of the exercises on following pages

Exercise 1 (p 220), Exercise 2 (p 223), Exercise 3 (p 229), Exercise 4 (p 231), Exercise 5 (p 233), Exercise 6 (p 238), Exercise 7 (p 241: do 4-9), Exercise 8 (p 243: do 13-20), Exercise 9 (p 244: do 1-10)

47 | 21/11-25/11

D-day Tuesday

Test on Friday November 25:th

48 | 28/11-2/12
49 | 5/12-9/12

Integration

Do "enough" exercises from following sections (they are all routine exercies)

Undoing differentiation - Exercise 1

Constant of integration - Exercise 2

Initial conditions - Exercise 3

Basic results - Exercise 4

Anti-chain rule - Exercise 5

Definite integration - Exercise 6

Geometric significance of integration - Exercise 7

Riemann sums as step-functions in GeoGebra

Fundamental theorem og calculus, using GeoGebra

50 | 12/12-16/12

Areas above and below the x-axis - Exercise 8

Area between two curves - Exercise 9: 9-22

Integration 2 - Further Techniques

Direct reverse - Exercise 1

51 | 19/12-23/12

last day with lessons on Tuesday

old plans: spring 2011, autumn 2010