Math SL

Course Description:

The IB Diploma Programme mathematics standard level course is for students with knowledge of basic mathematical concepts who are able to apply simple mathematical techniques correctly. The course provides students with a sound mathematical background to prepare for future studies in subjects such as chemistry, economics, psychology, and business administration. Students will be introduced to important mathematical concepts through the development of mathematical techniques in a way that emphasizes subject comprehension in broad strokes. Students will, wherever possible, apply the acquired mathematical knowledge to solve realistic problems.

Textbook:

Haese Mathematics (SL)

Year 1 (SL1)

Trimester 1:

  • Prerequisite knowledge (brief review)
  • Graphing and Transformation of Functions:
    • Linear
    • Quadratic
    • Semicircular
    • Radical
    • Exponential/Logarithmic
    • Rational
  • Sequences and Series
  • Matrices

Trimester 2:

  • Binomial Theorem
  • Trigonometry
  • Vectors

Trimester 3:

  • Differential Calculus

Year 2 (SL2)

Trimester 4:

  • Integral Calculus
  • Fundamental Theorem of Calculus

Trimester 5:

  • Applications of Acquired Techniques
  • Exploration*

Trimester 6:

  • Exploration (cont.)
  • Preparations for Tests (Practice phase)

*Exploration:

Internal assessment in Math SL is an individual “Exploration” in which each student investigates an area of mathematics that he or she finds interesting. This is a completely original, formal written work. Scores on these Explorations will be externally moderated by the IBO.

Assessment and Evaluation:

Year 1 (SL1)

  • Tests – 50%
  • Quizzes – 30%
  • Homework – 20%

Year 2 (SL2)

External assessment (5 hrs) 80%

Test papers:

Paper 1 (2 hrs) No calculator allowed 30%

  • Section A 15% – Compulsory short-response questions based on the compulsory core of the syllabus
  • Section B 15% – Compulsory extended-response questions based on the compulsory core of the syllabus

Paper 2 (2 hrs) Graphic display calculator (GDC) required 30%

  • Section A 15% – Compulsory short-response questions based on the compulsory core of the syllabus
  • Section B 15% – Compulsory extended-response questions based on the compulsory core of the syllabus

Internal assessment 20%

Portfolio

A collection of two pieces of work assigned by the teacher and completed by the student during the
Course:

  • Type 1: mathematical investigation
  • Type 2: mathematical modeling.

Markscheme:

Test questions will be graded according to the markscheme set forth by the IBO. Students will be awarded points for correct reasoning and usage of methods as well as correct answers. Abbreviations will be used to indicate the points awarded.

Abbreviation  
M Marks awarded for attempting to use a correct Method; working must be seen.
(M) Marks awarded for Method; may be implied correct by subsequent working.
A Marks awarded for Answer or for Accuracy; often dependent on preceding M marks.
(A) Marks awarded for Answer or for Accuracy; may be implied correct by subsequent working.
R Marks awarded for clear Reasoning.
N Marks awarded for correct answers if no working shown.
AG Answer given in the question and so no marks awarded.

 

Teaching Hours

Topics Hours
Algebra   9
Functions and Equations  24
Circular Functions and Trigonometry  16
Vectors  16
Statistics and Probability  35
Calculus  40
Mathematical Exploration  10
Total  150