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NOTE: Math DP has branched into Analysis and Approaches (AA) or the Applications and Interpretation (AI) that focus on different aspects. The material here is not updated yet.
MYP MATH PROGRAMME
MYP mathematics (1 through 5 (prediploma)) consists of four branches of math that include:
1. NUMBERS
Four basic operations for whole numbers, integers, decimals and fractions, number lines, rounding, …
2. ALGEBRA
building expressions, simplifying expressions, expansion rules, solving equations, linear inequalities, factorization, rational equations, …
3. GEOMETRY & TRIGONOMETRY
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 & 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 covers most of the DP Math 11 SL topics. MYP requires 5070 hours of teaching time depending on the level.
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MYP MATH PROGRAMME
MYP mathematics (1 through 5 (prediploma)) consists of four branches of math that include:
1. numbers
Four basic operations for whole numbers, integers, decimals and fractions, number lines, rounding, …
1. numbers
Four basic operations for whole numbers, integers, decimals and fractions, number lines, rounding, …
2. algebra
building expressions, simplifying expressions, expansion rules, solving equations, linear inequalities, factorization, rational equations, …
3. geometry and trigonometry
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
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 covers most of the DP Math 11 SL topics. MYP requires 5070 hours of teaching time depending on the level.
IB MATH DIPLOMA PROGRAMME
The IB Diploma Programme has a wide range of math courses that according to students’ goals and capabilities may be taken. That being said, not all of them are presented in all schools, especially the schools that are not exclusively IB.
These subjects include IB Mathematics Studies SL , Math SL, Math HL, and Further Mathematics HL that very few students take, and that is one of the reasons (besides cost) why it is not even presented in most schools. Right now around 5 students in Mulgrave are taking Further Mathematics HL.
1. IB MATHEMATICS STUDIES, SL
The curriculum for Mathematics Studies SL and the recommended teaching hours include the following:
1. numbers
Four basic operations for whole numbers, integers, decimals and fractions, number lines, rounding, …
Topic 1. Number and Algebra (20 hrs)
Order of Operations, Exponents, Factoring and Expansions, Linear and Quadratics Equations, System of Equations, Arithmetic and Geometric Sequences
Topic 2. Descriptive Statistics (12 hrs)
Types of Data, Simple and Grouped Quantitative Discreet/Continuous Data, Measuring the Center and Spread of Data, Graphs and Standard Deviation
Topic 3. Logic, Sets and Probability
(20 hrs)
Simple & Compound Propositions, Truth Table & Logical Equivalent, Converse, Inverse and Contrapositive, Valid Arguments, Experimental & Theoretical Probability, Compound Events, Tree Diagrams, Sampling, Laws of Probability, Independent Events,
Topic 4. Statistical Application (17 hrs)
Topic 5. Geometry and Trigonometry
(18 hrs)
Pythagoras’ theorem, Midpoint, Gradient, Parallel and Perpendicular Lines, Vertical and Horizontal Lines, Equations of Lines, Graphing Lines, Perimeter, Area and Volume, The trigonometric ratios, Areas of triangles, The Sine & Cosine Rules
Topic 6. Mathematical Models (20 hrs)
Topic 7. Introduction to Differential
Calculus (18 hrs)
Rates of Change, Instantaneous Rates of Change, The Derivative Function, Rules of Differentiation, Stationary Points, Optimization
The external exam has two papers that both require a Graphical Display Calculator (GDC)
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Paper 1 (1.5 hrs, 40% of Overall Score)
Paper 2 (1.5 hrs, 40% of Overall Score)
16 extended, syllabusbased questions, GDC required
Internal Assessment (Project, 20% of Overall Score)
2. IB MATHEMATICS, SL
1. numbers
Four basic operations for whole numbers, integers, decimals and fractions, number lines, rounding, …
Topic 1. Algebra (9 hrs)
Topic 2. Functions and Equations (24 hrs)
Topic 3. Circular Functions and Trig. (16 hrs)
Topic 4. Vectors (16 hrs)
Topic 5. Statistics and Portability (35 hrs)
Topic 6. Calculus (40 hrs)
IA Mathematics Exploration (10 hrs)
The External Exam has two papers for a total of 3 hours as follows:
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Paper 1 (1.5 hrs, 40% of Overall Score)
Two Sections of Short & Extended Response Questions. No Calculator Allowed
Paper 2 (1.5 hrs, 40% of Overall Score)
Internal Assessment (Project, 20% of Overall Score)
3. IB MATHEMATICS HL
The minimum recommended teaching hours for IB Math HL is 240 hours; 182 hours for the core content, 48 hours for one of the options, 10 hours for the IA. The details are in the following table.
1. numbers
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Topic 1. Algebra (30 hrs)
Topic 2. Functions and Equations (22 hrs)
Topic 3. Circular Functions and Trig. (22 hrs)
Topic 4. Vectors (24 hrs)
Topic 5. Statistics and Portability (36 hrs)
Topic 6. Calculus (48 hrs)
IA Mathematics Exploration (10 hrs)
Option 1. Statistics & Probability
Option 2. Sets, Relations & Groups
Option 3. Calculus
Option 4. Discrete Mathematics
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Paper 1 (2 hrs, 30% of Overall Score)
Two Sections of Short & Extended Response Questions. No Calculator Allowed
Paper 2 (2 hrs, 30% of Overall Score)
Paper 3 (1 hr, 20% of Overall Score)
Internal Assessment (Project, 20% of Overall Score)
4. Further Mathematics HL (FMHL)
The details of the programme can be found at this link.
IB MATH DIPLOMA PROGRAMME
1. IB MATHEMATICS STUDIES, SL
The curriculum for Mathematics Studies SL and the recommended teaching hours include the following:
Component  Details  Teaching Hours 
Topic 1 Number and Algebra  Order of Operations, Exponents, Factoring and Expansions, Linear and Quadratics Equations,  20 
Topic 2 Descriptive Statistics  Types of Data, Simple and Grouped Quantitative Discreet/Continuous Data, Measuring the Center and Spread of Data, Graphs and Standard Deviation  12 
Topic 3 Logic, Sets and Probability  Simple & Compound Propositions, Truth Table & Logical Equivalent, Converse, Inverse and Contrapositive, Tree Diagrams, Sampling, Laws of Probability, Independent Events,  20 
Topic 4 Statistical Application  Normal Distribution, Correlations, Line of Best Fit, Linear Regression, The test of independence  17 
Topic 5 Geometry and Trigonometry  Pythagoras theorem, Midpoint, Gradient, Parallel and Perpendicular Lines, Vertical and Horizontal Lines, Equations of Lines, Graphing Lines, Perimeter, Area and Volume, The trigonometric ratios, Areas of triangles, The Sine & Cosine Rules  18 
Topic 6 Mathematical Models  Practically Embedded in Every Other Subject  20 
Topic 7 Introduction to Differential Calculus  Rates of Change, Instantaneous Rates of Change, The Derivative Function, Rules of Differentiation, Stationary Points, Optimization  18 
Internal Assessment  A Personal and Practical Project That Might involve Collection of Information or Generation of Measurements Followed by Analysis and Evaluation  25 
Assessment  Format Of Assessment  Time (hr)  Weight (%) 
External Assessment (EA)  
Paper 1 (GDC Required)  15 short, syllabusbased questions  1.5  40 
Paper 2 (GDC Required)  16 extended, syllabusbased questions  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 used to be assessed by the teacher and moderated by IB until recently. 
 20 
2. IB MATHEMATICS, SL
Recommended teaching hours for Math HL are 240 vs 150 for Maths SL and mathematics studies SL.
The breakdown of components/subcomponents and teaching hours are as follows:
Component  Details  Teaching Hours 
Topic 1 Number and Algebra  Order of Operations, Exponents, Factoring and Expansions, Linear and Quadratics Equations,  20 
Topic 2 Descriptive Statistics  Types of Data, Simple and Grouped Quantitative Discreet/Continuous Data, Measuring the Center and Spread of Data, Graphs and Standard Deviation  12 
Topic 3 Logic, Sets and Probability  Simple & Compound Propositions, Truth Table & Logical Equivalent, Converse, Inverse and Contrapositive, Valid Arguments, Experimental & Theoretical Probability, Compound Events, Tree Diagrams, Sampling, Laws of Probability, Independent Events,  20 
Topic 4 Statistical Application  Normal Distribution, Correlations, Line of Best Fit, Linear Regression, The test of independence  17 
Topic 5 Geometry and Trigonometry  Pythagoras theorem, Midpoint, Gradient, Parallel and Perpendicular Lines, Vertical and Horizontal Lines, Equations of Lines, Graphing Lines, Perimeter, Area and Volume, The trigonometric ratios, Areas of triangles, The Sine & Cosine Rules  18 
Topic 6 Mathematical Models  Practically Embedded in Every Other Subject  20 
Topic 7 Introduction to Differential Calculus  Rates of Change, Instantaneous Rates of Change, The Derivative Function, Rules of Differentiation, Stationary Points, Optimization  18 
Internal Assessment  A Personal and Practical Project That Might involve Collection of Information or Generation of Measurements Followed by Analysis and Evaluation  25 
The External Exam has two papers for a total of 3 hours as follows:
Assessment  Format of Assessment  Time (hr)  Weight (%) 
 External Assessment (EA)  3 

Paper 1 (No Calculator)  Two Sections of Short & Extended Response Questions  1.5  40 
Paper 2 (GDC Required)  Two Sections of Short & Extended Response Questions  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 used to be assessed by the teacher and moderated by IB until recently. 
 20 
3. IB MATHEMATICS, 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, physics and economics majors.
The minimum recommended teaching hours for IB Math HL is 240 hours; 182 hours for the core content, 48 hours for one of the options, 10 hours for the IA. The details are in the following table.
COMPONENTS  DETAILS  TEACHING HOURS 
Topic 1 Algebra  Arithmetic/Geometric Sequences and Series, Sigma Notation, Logarithms and Binomial Theorem [Conjectures, Mathematical Induction, Counting Methods]  30 
Topic 2 Functions and Equations  Quadratic Functions and Equations, Rational Functions, Composite and Inverse Functions and Transformations, Even and odd functions, modulus functions, inequalities  22 
Topic 3 Circular Functions and Trig.  Circles, Radians, Arcs and Sectors, Unit Circle, Trig Identities, Sine Rule and Cosine Rule, Ambiguous Case, Trigonometric Functions, negative and complementary angle formulae  22 
Topic 4 Vectors  Addition and Subtraction of Vector, Scalar and Vector Products, Vector Equation of a Line and Application of Vectors, Parallelism,  24 
Topic 5 Statistics and Portability  Presenting Data, Univariant Analysis, Measure of Central Tendency, Measure of Dispersion, Cumulative Frequency, Variance and Standard Deviation, Venn Diagram, Conditional Probability and Probability Tree Diagram, independent events, probability using permutation and combinations
 36 
Topic 6 Calculus  Limits and derivatives, Chain Rule and Higher Order Derivative, Rates of Change and Motion in Line, Extrema and Optimization Problems, integration, special substitutions  48 
OPTIONS  48  
Topic 7 Statistics & Probability  Discrete & Continuous Random Variables, Probability Generating Functions, Central Limit Theorem, Point Estimation, Confidence Interval for Means, Significance & Hypothesis Testing, Bivariate Statistics 

Topic 8 Sets, Relations & Groups  Equal Set & Set Differences, Partitions & Venn Diagrams, Venn Diagrams & Set Properties, Cartesian Products, Modular Congruence, Injections, Surjections, Bijections, Binary Operations 

Topic 9 Calculus  Number Properties, Limits, Continuity of Functions, Rolle̓s theorem and the Mean Value Theorem (MVT), Riemann sums, The Fundamental Theorem of Calculus, Improper integrals, Differential equations, Separable differential equations, The integrating factor method 

Topic 10 Discrete Mathematics  Congruences, The Chinese Remainder Theorem, Fermat̓s Little Theorem, Dirichlet̓s Principle, Graph Theory, Planar graphs, Trees and algorithms, The Chinese Postman Problem (CPP), The Travelling Salesman Problem (TSP) 

IA Mathematics Exploration
 An Individual Written Work Involving Exploration of an Area of Mathematics  10 
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. 
 20 
4. FURTHER MATHEMATICS HL (FMHL)
Further Mathematics HL is an intense course designed for students with a very strong background and interest in math. Students can take FMHL alongside Math HL.
Students cover 5 subjects in a total of 240 hours, and they write two 2.5 hrs long exam papers with no Internal Assessment since they need to take Math HL anyways.
The details of the programme can be found at this link.