First lesson on thursday

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

Show these exercises on the whiteboard on Friday:

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

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

Exercise 5: 1-5

D-day on Friday

Trigonometric equations, Inverse trigonometric functions

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

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

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

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

Polynomial functions

(I'm hesitant about teaching synthetic division)

Exercise 1: 1, 3, 5, (6)

No lesson on Friday (ToK)

Factor and remainder theorems, Finding a polynomial's coefficients

Exercise 2: 1, 4, 6, 7, 8cij

Exercise 3: 1-5, 7, 9, 10

Solving polynomial equations, Finding a function from its graph

Exercise 4: 1, 4ae, 5, 6, 8, 10

Exercise 5: (the question should be stated in another way) 1, 6, 9

Algebraic long division, Using a calculator with polynomials

Exercise 6: 1, 4, 6, 7, 9, 13, 14

Exercise 7: 1, 7,, 9-12, 15

Test on monday 13/9

Test back on Tuesday, the students hand in corrected tests on Wednesday

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

Exponential equations, Related graphs

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

Exercise 6: 1, 2, 4-9

OOPS! Planning failed!

D-day on Thursday

Trigonometric identities (jumping to chapter 7)

Exercise 1: 1-7

Compound angle formulae

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

Double angle formulae

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

Using double angle formulae

Exercise 4: 1, 2, 4, 6ae

Wednesday

Wave function - This is usually called the harmonic form, it is no longer in the syllabus

Wave function using GeoGegra, Demo of Audacity, Tacoma bridge

Friday

Bring computers, installing QtOctave, introduction to Octave

D-day on Monday

Introduction to matrices (jumping to chapter 11, I'll do 2 and 10)

Exercise 1: 1, 2, 3c, 4abf, 5, 6abcd, 7, 8a, 9, 12, 14, 18, 20

Determinants and inverse matrices

Exercise 2: 1ad (use GDC, doing it by hand is not in the syllabus), 2, 3, 4adfg, 7, 8, 12

Solving simultaneous equations in two unknowns

Exercise 3: 1ad, 3, 4, 5, 7

Friday

Bring computers, matrices using Octave

Monday - Tuesday

IB1:

Arithmetic sequences

Exercise 1: 1ade, 2, 4-6, 8, 9, 13-16

Exercise 2: 1ade, 2, 6-9, 12

Geometric sequences and series

Exercise 3: 1adfg, 3, 4ac, 5a, 6-9

IB2:

Implicit differentiation

You can do implicit curves on polynomial expressions in GeoGebra 4.0 Beta (download it from "Welcome to the GeoGebra 4.0 Beta Forum"-thread), an example: smiley_heart.ggb

Exercise 6 (page 238): 1-7

No parametric curves???

Integration by substitution

Exercise 5 (page 427): 1-5

Integration by parts

Exercise 6 (page 433): 1-5

Solving simultaneous equations in three unknowns (use the method on page 295 "Using row operations")

Exercise 4: 1a, 2a, 3, 4, 6, 8, 10, 11, 12, 13

Introduction to vectors

Exercise 1: 1a, 2, 4, 5, 6, 8, 9, 11, 13, 14, 15

Friday

Bring computers, Vectors!

A geometric approach to vectors

Exercise 2: 1, 2, 4, 5, 7, 8, 10, 11, 13, 14

Multiplication of vectors

Exercise 3: 2, 3, 5-11, 13, 14, 17, 19

Vector product

Exercise 4: 1, 3, 5, 7, 9, 10, 14, 17, 18

Bring computers on Wednesday

Equation of a straight line

Exercise 1: 1ab, 2a, 3ab, 4ab, 5ab, 6ab, 7abc, 8, 9

Friday

Parallel, intersecting and skew lines

Exercise 2: 1abcd, 2abe, 3, 4abe, 5-7

D-day on Monday, Test on Wednesday 27/10

Revision on Tuesday (not mandatory)

D-day on Tuesday

Equation of a plane

Exercise 3: 1-16

Intersecting lines and planes

Exercise 4: 1ab, 2-8

No lesson on Tuesday, D-day on Friday

Review exercises on page 368-372

D-day on Wednesday

3D Distances on Friday: threeDdistances.pdf

Two examples from old exams (its learning)

page 476, Exercise 1: 3-6

skip the second example on page 479

page 483, Exercise 2: 1a, 2a, 3gk, 4eghj, 5d, 6cdefg, 7deg, 9

roots to polynomial equations with real coefficients

page 483, Exercise 2: 10, 11, 13, , 16, 20

the last PowerPoint, Argand diagrams, polar form (the text-book is messy, it's too much at once)

page 495, Exercise 3: 1, 2, 3, 4

page 495, Exercise 3: 5, 6, 7, 8, 9, 11, 12, 15

de Moivre (the ordering if the proofs is messy, possibly wrong)

page 504, Exercise 4: 1, 2, 3adghi, 4, 5, 6, 8, 10, 11, 14, 17

Chaos on Thursday & Friday

Chaos on Monday

Induction

page 515, Exercise 1: 1-5, 16-20

Divisibility

page 521, Exercise 2: 1-5, 7, 9, 11, 13 (IB2 only), 14, 15

Last lesson on Monday

catch up