Here, we have discussed the topics covered in MYP Mathematics, Math SL AA, Math HL AA, Math SL AI and Math HL AI. We have checked their differences and we have given tips for studying effectively for the final test.
Mathematics for the Middle Year Programme (MYP)
Students aged 11 to 16 are enrolled in the MYP Programme in which IB students “learn how to learn”. Students who seek an MYP math certificate may take a twohour onscreen examination while carrying out a midlevel personal project and completing community service.
MYP Mathematics Math IB is presented at two levels: standard and extended. Standard Mathematics aims to provide students with knowledge of basic mathematical concepts, while Extended Mathematics supplements the standard level, introducing additional topics and concepts to encourage greater depth and breadth of comprehension. Students planning to take Math AA (either SL or HL) are strongly recommended to take the extended version of MYP 5.
MYP mathematics (1 through 5 (prediploma)) consists of four branches of math that include:
Topics only covered in the extended level include fractional exponents, logarithms, and number bases. Four basic operations for whole numbers, integers, decimals and fractions, number lines, rounding, …
2. Algebra
Topics covered in both standard and extended levels include basic algebraic operations, factorization, substitution, simplification, integer & fractional exponents, patterns & sequences, algorithms, functions (linear, quadratic, exponential, trigonometric), domain & range, transformations, and inequalities.
Topics only covered in the extended level include logarithm with different base number, functions & graphs (inverse and composite), arithmetic & geometric sequences.
building expressions, simplifying expressions, expansion rules, solving equations, linear inequalities, factorization, rational equations, …
3. Geometry and Trigonometry
Topics covered in both standard and extended level include distance formula, angle properties, triangle properties (similar triangles, pythagoras’ theorem), perimeter/area/volume, the cartesian plane, trigonometric ratios, simple transformations (rotations, reflection, translation, stretches), circle geometry (chord length, angles & arcs).
Topics only covered in the extended level include 3D coordinate geometry, similarity & congruence, vectors, sine & cosine rules, trigonometric identities, angle measures (use of radians), the unit circle. angles, lines, parallels and perpendicular lines, parallelism, triangles, quadrilaterals, polygons, circles, 3D objects, coordinate geometry, trigonometric ratios, sine and cosine rules, solving a triangle, …
4. Statistics and Probability
Topics only covered in the extended level include standard deviation, conditional probability, samples and populations, dot tables, tally and frequency tables, column graphs, pie charts, plots, mean, median, mode and range, experimental probability, Venn diagram, probability of twoway table, multiplying probabilities and compound events…
The new HL prediploma curriculum (MYP 5) covers most of the DP Math 11 SL topics. However, different schools have different approaches as the IB organization does not mandate the exact topics.
Mathematics for IB Diploma Programme (IBDP)
Below we will explore the specifics of the four courses and the differences between them.
Analysis and Approaches SL (Math AA SL)
Math AA SL is more suitable for students who enjoy math and are interested in pursuing courses involving a reasonable amount of mathematics after high school (for example, Economics or Biology, etc.) However, it should be noted that for students aspiring to study a STEM major in topranking universities, it is still recommended to take Math HL. Therefore, ensure to consult with your school or check your interested universities’ websites to rest assured that you are taking the right course.
Syllabus Outline for Math AA SL:
Topic 1: Numbers and Algebra (19 teaching hrs)
● Arithmetic and geometric sequence & series
● Sigma notation
● Financial applications of geometric sequences & series (compound interest, depreciation)
● Logarithms (base 10 and e) & laws
● Simple deduction proofs
● Change of base (log)
● Binomial theorem
Topic 2: Functions (21 teaching hrs)
 Domain & range
 Inverse Functions
 Point of intersections using GDC
 Composite Functions
 Quadratic Functions
 Use of discriminant
 Reciprocal & Rational Functions
 Exponential Functions
 Combined Transformations
Topic 3: Geometry & Trigonometry (25 teaching hrs)
 Distance & Midpoint
 Volume, SA of 3D shapes
 Sine, cosine, tangent ratios
 Sine & Cosine rule
 Circle geometry (sector area, arc length)
Topic 4: Statistics and Probability (27 teaching hrs)
 Discrete & continuous data
 Histograms & Boxandwhisker
 Mean/median/mode
 Standard Deviation, variance, interquartile range
 Pearson’s productmoment coefficient
 Regression line
 Probability (mutually exclusive, independent, combined, conditional)
 Binomial & normal distribution
 Inverse normal calculations
Topic 5: Calculus (28 teaching hrs)
 Limit
 Derivative as the rate of change
 Tangents & normals at a given point
 Intro to antidifferentiation
 Chain, product, quotient rules
 Second derivative
 Max/min/inflection points
 Optimization & Kinematics problems
 Indefinite & definite integrals
 Area between curves
Assessment outline for both Math AA SL and Math AI SL
Assessment  Format Of Assessment  Time (hr)  Weight (%) 
External Assessment (EA)  
Paper 1 (GDC Not Allowed)  shortresponse questions based on syllabus  1.5  40 
Paper 2 (GDC Required)  extendedresponse questions based on syllabus  1.5  40 
Internal Assessment (IA)  
Project  A Personal and Practical Project That Might involve "Collection of Information or Generation of Measurements" Followed by Analysis and Evaluation. IA is assessed by the teacher and moderated by IB. 
 20 
Note: The external assessments (paper 1 and 2) are marked by examiners appointed by IBO, while the internal assessment (mathematical exploration) is assessed by the teacher, then some are moderated by IBO.
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APPLICATION AND INTERPRETATION SL (Math AI SL)
Math AI SL is the least academically demanding among the four courses as it emphasizes fundamental concepts rather than complex manipulation skills. As such, Math AI SL is more suitable for students who do not plan to take mathematics as an essential part of their studies at university like law, psychology, languages, etc. On the other hand, students who need to take math as a significant component of their studies like engineering or sciences must take Math AA SL or HL. According to IB, students who take Math AA “will be those who enjoy the thrill of mathematical problem solving and generalization.” While students who take AI “ will be those who enjoy mathematics best when seen in a practical context.”
Syllabus Outline for Math AI SL:
Students who anticipate mathematics as a major component of their university studies should take Math HL. IB recommends it if you are aiming for math, engineering and physics majors. Students can choose to take 2 distinct courses under Math HL: Math AA HL and Math AI HL.
Topic 1: Numbers and Algebra (16 teaching hrs vs 19 for AA)
 Arithmetic, geometric sequence & series
 Sigma notation
 Financial applications of geometric sequences & series (compound interest, depreciation)
 Exponent laws
 Logarithms (base 10 and e)
 % error & estimation
 Technology to solve polynomial equations
Topic 2: Functions (31 teaching hrs vs 21 for AA)
 Domain & range
 Point of intersections using GDC
 Linear & Quadratic Functions
 Sinusoidal & cubic functions
 Exponential Functions
Topic 3: Geometry and Trigonometry (18 teaching hrs vs 25 for AA)
 Distance & Midpoint
 Volume, Surface Area of 3D shapes
 Sine, cosine, tangent ratios
 Sine & Cosine rule
 Circle geometry (sector area, arc length)
Topic 4: Statistics and Probability (36 teaching hrs vs 27 for AA)
 Discrete & continuous data
 Histograms & Boxandwhisker
 Mean/median/mode
 Standard Deviation, variance, interquartile range
 Pearson’s product moment coefficient
 Regression line
 Probability (mutually exclusive, independent, combined, conditional)
 Binomial, normal distribution
 Inverse normal calculations
Topic 5: Calculus (19 teaching hrs vs 28 for AA)
 Limit
 Derivative as the rate of change
 Tangents & normals at a given point
 Intro to antidifferentiation
 Chain, product, quotient rules
 Max/min/inflection points
 Optimization
A quick look at this file will give you a glimpse of the differences in the subject breakdown between Math AA (SL/HL) and AI (SL/HL)
IB MATHEMATICS HIGHER LEVEL (HL)
Students who anticipate mathematics as a major component of their university studies should take Math HL. IB recommends it if you are aiming for math, engineering and physics majors. Students can choose to take 2 distinct courses under Math HL: Math AA HL and Math AI HL.
IB MATHEMATICS ANALYSIS AND APPROACHES (MATH AA HL)
Math AA HL is similar to the old Math HL curriculum and is generally recommended for students who are strongest at math and are interested in studying courses that are mathintensive after high school (for example, engineering, computer science, math, etc.)
Syllabus Outline for Math AA HL:
Below are the topics that HL students must learn in addition to the SL topics (see the section under ‘Mathematics: Analysis and Approaches (Math AA SL)’ above for the list of topics that both levels must learn).
Topic 1: Numbers and Algebra (39 teaching hrs.)
 Permutations & Combinations
 Complex Numbers (real & imaginary, conjugate, modulus, argument)
 Modulusargument (polar) form
 Euler form
 De Moivre’s Theorem
 Mathematical Induction
 Proof by contradiction
Topic 2: Functions (32 teaching hours)
 Polynomial functions
 Factor & remainder theorem
 Sum & Product of roots of polynomials
 Odd & even functions
 Selfinverse functions
Topic 3: Geometry & Trigonometry (51 teaching hours)
 Reciprocal trigonometric ratios
 Compound angle identities
 Vectors (magnitude, position & displacement vector)
 Scalar product
 Parallel, intersecting, skew lines
 Vector equations of a plane
 The intersection between planes, line & plane
Topic 4: Statistics & Probability (33 teaching hrs.)
 Bayes’ theorem
 Variance of discrete random variable
 Continuous random variable
Topic 5: Calculus (55 teaching hrs.)
 Continuity & differentiability at a point
 Derivatives from first principles
 Higher derivatives
 L’Hôpital’s rule & Maclaurin series
 Implicit differentiation
 Related rates of change
 Partial fractions
 Integration by substitution & parts
 Area between curves
 Volumes of revolution about xaxis / yaxis
 Euler’s method
Assessment outline for Math AA HL and Math AI HL
Assessment  Format of Assessment  Time (hr)  Weight (%) 
 External Assessment (EA)  5 

Paper 1 (No Calculator)  Two Sections of Short & Extended Response Questions  2  30 
Paper 2 (GDC Required)  Two Sections of Short & Extended Response Questions  2  30 
Paper 3 (GDC Required)  Extended Response Questions from Options Course  1  20 
Internal Assessment (IA)  
Project  A Personal and Practical Project That Might involve "Collection of Information or Generation of Measurements" Followed by Analysis and Evaluation. IA is assessed by the teacher and moderated by IB. 
 20 
Note: The external assessments (paper 1, 2 and 3) are marked by examiners appointed by IBO, while the internal assessment (mathematical exploration) is assessed by the teacher, then some are moderated by IBO.
IB MATHEMATICS APPLICATIONS AND INTERPRETATION (MATH AI HL)
Math AI HL is an entirely new addition and is unlike any of the old courses. IBO recommends the course for students interested in math and are strong at it but do not plan to study a mathintensive course after high school (for example, Biology, Chemistry, Economics, etc.).
Syllabus Outline for Math AI HL:
Below are the topics that HL students must learn in addition to the SL topics (see the section under ‘Mathematics: Application and Interpretation (Math AI SL) above for the list of topics that both levels must learn).
Topic 1: Numbers and Algebra (29 teaching hrs.)
 Sum of infinite geometric sequences
 Complex Numbers (real & imaginary, conjugate, modulus, argument)
 Polar, exponential, cartesian form
 Adding sinusoidal functions
 Matrix
 Eigenvalues & eigenvectors
 2 x 2 matrices
Topic 2: Functions (42 teaching hrs.)
 Composite & inverse functions
 Combined transformations
 Sinusoidal, logistic, natural logarithmic models
 Piecewise models
Topic 3: Geometry & Trigonometry (46 teaching hrs.)
 Radians
 Ambiguous case
 Matrix transformations
 Geometric interpretation of determinant of the transformation matrix
 Vector & Scalar
 Vector application to kinematics
 Adjacency matrices & weighted adjacency tables
Topic 4: Statistics & Probability (52 teaching hrs.)
 Reliability & Validity tests
 Nonlinear regression
 Sum of square residuals
 Coefficient of determination
 Central limit theorem
 Confidence intervals
 Poisson distribution
 Tests for population
 Transition matrices
Topic 5: Calculus (41 teaching hrs.)
 Related rates of change
 Second derivative
 Definite/indefinite integrals
 Areas between curves
 The volume of revolution about xaxis and yaxis
 Kinematic problems
 Slope fields
 Euler’s method
At the end of the day, the most important thing to consider when choosing amongst the four courses is the level of interest and skill you currently have in math. However, it is also essential to consider the potential career pathways you may take beyond high school, including the major you may decide to pursue at university; therefore, ensure to check the course requirements for university admissions into your desirable program!
TIP FOR STUDENTS doing any level of ib math
1) Instead of memorizing specific types of questions, understand the concepts.
 IBO is standard, but it also changes the problem styles from time to time, so it is crucial to comprehend instead of systematically memorize.
2) DO NOT ignore the materials you don’t understand — always seek help.
 If you need tutoring help, get it from companies specializing in IB tutoring, not just any company or any tutor. Hack Your Course AP and IB Tutoring Service has been doing online IB tutoring for a long time and all people engaged know about the ins and outs of the programme.
3) Instead of waiting until the last minute to practice, do a little bit of math consistently every day.
 Remember that math is all about practice, practice, practice.
4) Study well in advance for exams.
 Most of the time, lastminute studying doesn’t work because there is a long process involved, from understanding the concept to practicing basic problems to challenging yourself with harder problems.
5) Review past topics & notes in time for the final and mock exam
 A common occurrence is for students to forget the prior topics learned, which is a problem as the May and mock exams will include ALL topics.
6) Utilize free online materials
 Visit our webpage for a list of free and cheap resources.
7) Practice with past problems!
 Practicing past examstyle questions will allow you to understand the type of questions IB commonly likes to ask. Do not forget to follow the mark schemes.
8) Time yourself
 When practicing with past exams, make sure to time yourself based on the time allowed for the specific exam. This is because time management is a significant problem for many students.
9) Understand your mistakes!
 Even if you do many problems, ignoring the questions you don’t know how to do is futile. Remember that the whole point of practice is to learn from your mistakes, so when you encounter similar problems in the future, you will finish them with no problem.
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