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

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

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

D-day on Thursday

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

Solving simultaneous equations in three unknowns

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

D-day on Monday

Introduction to vectors

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

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

Equation of a straight line

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

Parallel, intersecting and skew lines

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

Equation of a plane

Exercise 3: 1-16

Intersecting lines and planes

Exercise 4: 1ab, 2-8

Test on Wednesday 27/10

Revision on Monday, Tuesday, these lessons are not mandatory

Tests back on Thursday, the students hand in corrected test on Friday

D-day on Tuesday

D-day on Friday

D-day on Wednesday

Last lesson on Monday