DP1 / AA Mathematics 2023-2024

Friday 8.9.2023

SL
  • Read p. 111-113
  • Exercise 3A: 1b, 2c, 4
  • Read p. 114-115
  • Exercise 3B: 1b, 2, 3
  • Read p. 115-118
  • Exercise 3C: 2,3,4
HL
  • Read p. 86-88 (rational functions)
  • Exercise 2c: 1,4,5 (p.89)
  • Investigation 6 (p.89)
  • Read p.89 (Radical functions)
  • Investigation 7 (p.90)
  • Exercise 2D: 1b, d, f
  • Investigation 8 (p. 90)
  • Read p. 90-91
  • Exercise 2E: 2,5,7

Monday 11.9.2023

SL
  • Read p. 119-121
  • Exercise 3D: 1a, 1d, 2
  • Read p. 122-123
  • Exercise 3E: 1c, 2a, 3
  • Read p. 124-125
  • Exercise 3F: 1d, 2a, 3
  • Exercise 3G: 1cdeg, 4
  • Exercise 3H: 1,3

HL
  • Investigation 8 (p. 90)
  • Read p. 90-91
  • Exercise 2E: 2,5,7
  • Read p. 93-94 (Absolute value functions and equations)
  • Investigation 9 
  • Exercise 2G: 2,3,8,9
  • Read p. 95-97
  • Exercise 2H: 1b, 1d, 1f, 1g
  • Read p 98-99
  • Exercise 2I: 1cde, 2a,b (algebrally), 2d (graphically)
 

Exam Thu 28.9.2023

  • Arithmetic sequence
  • Geometric sequence
  • Arithmeric series
  • Geometric series
  • Binomial theorem
  • Generalization of the binomial theorem (HL)
  • Function (domain and range)
  • Piecewise defined function
  • Composite function
  • Inverse function
  • Self-inverse function
  • Gradient and linear functions (SL)
  • Rational functions (HL)
  • Radical functions (HL)
  • Absolute value functions and equations (HL)
  • Partial fractions (HL)

Review exercises

HL
  • p. 142-143: 1,2,3,11,12,15,5
  • p. 68-69: 1, 2, 17, 18

SL
  • p.101-104: 1,3,4,5,6,8,9,11,12,13,17,22,23
  • p. 58-59: 2,4,5,8,14,15,22,27,30


Videos:

Arithmetic sequences and series

Geometric sequences and series

The Binomial theorem

Domain, Range, Composite and Inverse



Test: Revision test 19.9.2023.pdf

Markscheme: Revision test 19.9.2023 markscheme.pdf

Worked solutions: 20230921_090800.jpg

20230921_090808.jpg

20230921_090823.jpg

20230921_090839.jpg

The 2nd period


Exam 21.11.2023

Kinematics  265-268  284-287

 

HL: Chapter review (p. 298-301): 1, 3, 4, 5, 6, 9, 11, 12, 14, 24, 25, 26, 29, 31, 32

SL: Chapter review (p. 271-273): 2b, 4, 6,7,9,10, 12,15,16,20

Exam 2.2.2024

SL

9. Exponents and logarithms p. 394-426
10. Integration p. 434-461

Chapter review (p. 426): 1,2,3,4,5,6,7,8,10,15,16,17,21,23,24,30
Chapter review: (p. 461): 1,2,4,5,6,7,14,15,18

HL

Exponents and logarithms: p.460-487
Integration: p. 442-459, 488-509, 521-527

Chapter review (p.514): 1, 2, 4, 6, 9, 12, 14, 17, 19, 20
Chapter review (p.565): 2a, 2c, 3, 10

Exam 2.4.2024



Radian, arc, sector, segment
378-383 (HL)
510-510 (SL)

Unit circle  
386-390 (HL)
513-522 (SL)


Trigonometric equations and identities
 400-406 and 517-522 (HL)
 420-421 (SL)

Reciprocal trigonometric functions(HL)
399-402 (HL)

Trigonometric functions
410-417 (HL)
 523-533 (SL)

Derivatives of sin/cos/tan
 424-426 and 544-549 (HL)
 429-431 (SL)

Integrals of trigonometric functions 
446-450 (HL)
559-566 (SL)

Special integrals (HL)
p. 501-503 (HL)
p. 509n(HL)

Inverse functions of sin/cos/tan (HL)
418.420(HL)
427-429(HL)

Review exercises

SL
p. 539: 1,2,3,4,5,6,8,9,10,11,12,13,15,19,22,23,25,26,29
p. 577: 1, 2a-d, 3,8,10,11,13

TestSLtrigonometricfunctionsandequations.pdf

HL
p. 437: 4, 5, 9, 10, 16, 17, 18, 19, 21a-d, 22
p. 514: 11, 13, 15, 22, 25

TestHLtrigonometricfunctionsandequations.pdf
Solutions: HLsolutions.pdf

Derivatives of trigonometric functions: https://openstax.org/books/calculus-volume-1/pages/3-5-derivatives-of-trigonometric-functions
Examples: 3.39, 3.40, 3.41, 3.42, 3.43(HL), 3.44(HL), 3.45
Exercises: 197, 198, 199(HL), 202