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Plan Maths HL autumn term 2010

Delete row week 33

First lesson on thursday

Revision, do it on your spare time

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

During the lessons

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

Delete row week 34

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

Delete row week 35

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)

Delete row week 36

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

Delete row week 37

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

Delete row week 38

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

Delete row week 39

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

Delete row week 40

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

Delete row week 41

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

Delete row week 42

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

Delete row week 43

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

Delete row week 44
Autumn Holiday
Delete row week 45

D-day on Tuesday

 

Delete row week 46

D-day on Friday

 

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D-day on Wednesday

 

Delete row week 48

 

Delete row week 49

 

Delete row week 50

 

Delete row week 51

Last lesson on Monday

 

Hand-outs Autumn Term 2010 (ms stands for marks scheme)

 

 

 

Old plan from spring term 2010