IB Analysis and Approaches HL
IB Analysis and Approaches HL
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This course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course includes topics that are both traditionally part of a pre-university mathematics course as well as topics that are amenable to investigation, conjecture and proof.
This course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course includes topics that are both traditionally part of a pre-university mathematics course as well as topics that are amenable to investigation, conjecture and proof.
This course is an advanced and comprehensive exploration of mathematical concepts, providing students with a rigorous and challenging experience. This course is designed for students with an interest in mathematics and that are aiming to develop their analytical and problem-solving skills to a higher level. This course has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments.
Upon completion of the Mathematics HL - Analysis and Approaches course, students will be well-prepared for higher education and careers that require advanced mathematical skills. This course fulfills the junior and senior level mathematics graduation requirements.
This course is for students who...
This course is for students who...
desire to continue their mathematics journey at the university level.
have strong algebraic skills and the ability to understand simple proof.
are fascinated by exploring real and abstract applications.
enjoy the thrill of mathematical problem solving and generalization.
enjoy spending time with problems and get pleasure and satisfaction from solving challenging problems.
enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking.
Student Testimonials/What students say about the course
Student Testimonials/What students say about the course
Course Content
Course Content
Topics covered in the course are defined by the Analysis and Approaches guide, 2020 (International Baccalaureate Organization)
Number and Algebra:
Sequences and Series, Exponents, Logarithms, Counting Methods, Binomial Theorem, Complex Numbers, Proof (mathematical induction, contradiction, and direct), Partial Fractions
Functions:
Domain, Range, Inverse, Composite, Even, Odd, and Transformations
Linear, Quadratics, Polynomials and Rational
Geometry and Trigonometry:
Circular Functions (trigonometric and inverse trigonometric functions), Triangle Trig, Trigonometric Identities, Compound Angle Identities, and Vector Analysis
Statistics and Probability:
Basic Statistics, Basic Probability, Conditional Probability and Probability Distributions
Calculus:
Limits, Continuity, Derivatives and their Applications, Integrals and their Applications, Differential Equations, Series
Scheduling Information
Scheduling Information
Course Number: 509 (Yr 1) / 510 (Yr 2)
Prerequisite(s): AP Precalculus
Graded: AP / IB / CCP Weight
Grades: 11-12
Time Frame: 2 Years
Credit: 2.00 (over 2 years)
This course fulfills the junior and senior level mathematics graduation requirements.
Career Connection
Career Connection
The course provides exposure to foundational knowledge and experiences that help prepare students for numerous careers. This is a great math course to take if you plan on pursuing a career in:
Mathematics
Computer Science
Engineering
Physical Sciences - Physics, Chemistry and BioChem
Medicine
Data Scientist
Economics
The course equips students with a diverse skill set that opens doors to a wide range of professions, bridging the gap between theoretical knowledge and practical applications in various industries.
For more information about the course, please contact Ms. Hannah Shull (shull_hannah@dublinschools.net) or Mr. Matthew Burton (burton_matthew@dublinschools.net).
For more information about the course, please contact Ms. Hannah Shull (shull_hannah@dublinschools.net) or Mr. Matthew Burton (burton_matthew@dublinschools.net).
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