IB MYP Mathematics

MYP Mathematics resources across all four branches.

4 Branches Standard & Extended MYP 1–5 DP Pathway
Topics

MYP Mathematics Topics

Select a branch below.

Number

Integers, fractions, decimals, percentages, rational and irrational numbers, and standard form.

Explore Number
Algebra

Expressions, equations, inequalities, sequences, and linear and quadratic functions.

Explore Algebra
Geometry & Trigonometry

Area, volume, coordinate geometry, transformations, and trigonometry ratios.

Explore Geometry
Statistics & Probability

Data collection, central tendency and spread, and probability theory.

Explore Statistics
Curriculum Matrix

Complete 32-Topic Study Directory

Access comprehensive revision notes, 10 tiered exercises with full markschemes, formula summaries, and interactive mini tests for every topic across the 4 MYP branches.

Number Standard & Extended

Number Systems: Sets & Proofs

Classification of real numbers (N, Z, Q, R), conversion of recurring decimals, proofs of irrationality, and interval notation.

Real NumbersRecurring DecimalsSet Notation
Study Guide & Practice
Number Standard & Extended

Forms of Number

Scientific notation (a × 10^k), significant figures, rounding rules, surd simplification, and absolute values.

Standard FormSurdsSignificant Figures
Study Guide & Practice
Number Standard

Integer Exponents

Laws of indices for positive, negative, and zero powers. Simplifying complex exponential algebraic expressions.

Index LawsPower RulesSimplification
Study Guide & Practice
Number Extended

Fractional Exponents & Radicals

Converting between rational exponents (x^(m/n)) and radical form, surd arithmetic, and exponential equations.

Rational IndicesRadicalsSurd Arithmetic
Study Guide & Practice
Number Extended

Logarithms

Definition of logarithmic functions, product, quotient, and power laws, change of base formula, and exponential modeling.

Log LawsChange of BaseExponential Equations
Study Guide & Practice
Number Standard & Extended

Number Sequences

Arithmetic and Geometric sequences, general nth term formulas (u_n), and finite series summation (S_n).

Arithmetic ProgressionsGeometric SequencesSeries Sums
Study Guide & Practice
Number Standard

Ratio & Percentage

Proportional division, percentage increase and decrease, reverse percentages, and compound financial interest.

RatiosPercentagesCompound Interest
Study Guide & Practice
Number Standard & Extended

Sets & Venn Diagrams

Universal sets, complements, intersections, unions, subsets, and solving two- and three-set Venn problems.

Venn DiagramsSet NotationCardinality
Study Guide & Practice
Algebra Standard & Extended

Algebraic Expressions

Expanding binomials and trinomials, factorising monic and non-monic quadratics, simplifying algebraic fractions.

Binomial ExpansionFactoringAlgebraic Fractions
Study Guide & Practice
Algebra Standard

Linear Equations & Inequalities

Solving single and multi-step linear equations, rearrangement of literal formulas, and number line inequalities.

Linear EquationsNumber LinesLiteral Equations
Study Guide & Practice
Algebra Standard & Extended

Quadratic Functions

Vertex form, factoring, quadratic formula, completing the square, discriminant analysis, and parabola curve sketching.

Parabola GraphsDiscriminantVertex Form
Study Guide & Practice
Algebra Standard & Extended

Exponential Functions

Modeling exponential growth and decay, identifying horizontal asymptotes, y-intercepts, and real-life half-life applications.

Growth & DecayAsymptotesModeling
Study Guide & Practice
Algebra Extended

Polynomials

Polynomial division, Remainder and Factor theorems, solving cubic equations, and finding polynomial roots.

Factor TheoremPolynomial DivisionCubic Equations
Study Guide & Practice
Algebra Extended

Functions & Transformations

Function notation, domain and range, composite functions, inverse functions f^(-1)(x), and graph transformations.

Composite FunctionsInverse FunctionsDomain & Range
Study Guide & Practice
Algebra Standard & Extended

Sequences & Series

Sigma notation, algebraic derivation of sequence formulas, and infinite convergent geometric series.

Sigma NotationConvergenceSeries Proofs
Study Guide & Practice
Algebra Standard & Extended

Systems of Equations

Simultaneous linear equations by substitution and elimination, graphical intersection, and non-linear systems.

Simultaneous EquationsSubstitutionElimination
Study Guide & Practice
Geometry & Trig Standard & Extended

Triangle Properties & Pythagoras

Congruent and similar triangles, area ratios, Pythagorean theorem in 2D and 3D coordinate spaces, and geometric proofs.

CongruenceSimilarity3D Pythagoras
Study Guide & Practice
Geometry & Trig Standard & Extended

Trigonometric Ratios

Right-angled trigonometry (SOH CAH TOA), angles of elevation and depression, three-figure bearings, and problem solving.

SOH CAH TOABearingsElevation & Depression
Study Guide & Practice
Geometry & Trig Standard & Extended

Sine & Cosine Rules

Non-right angled triangle trigonometry, ambiguous case of the sine rule, cosine rule, and triangle area formula.

Sine RuleCosine RuleAmbiguous Case
Study Guide & Practice
Geometry & Trig Extended

Radians & Unit Circle

Radian measure conversion, arc length, sector area, and unit circle definitions of sine, cosine, and tangent.

Radian MeasureUnit CircleArc Length & Sector
Study Guide & Practice
Geometry & Trig Standard & Extended

Circle Geometry

Cyclic quadrilaterals, angle at center vs circumference, angles in same segment, tangent-chord theorem, and deduction proofs.

Circle TheoremsCyclic QuadsTangents
Study Guide & Practice
Geometry & Trig Standard & Extended

Perimeter, Area & Volume

Composite 2D plane figures, prisms, cylinders, pyramids, cones, spheres, surface areas, and dimensional scaling laws.

Composite ShapesSurface Area3D Solids
Study Guide & Practice
Geometry & Trig Standard & Extended

Transformations & Coordinates

Translations, reflections, rotations, enlargements with scale factors, distance, midpoint, and parallel/perpendicular lines.

Coordinate GeometryTransformationsScale Factors
Study Guide & Practice
Geometry & Trig Extended

Vectors

Column vectors, vector addition, scalar multiplication, magnitude calculations, collinearity, and vector geometric proofs.

Column VectorsMagnitudeGeometric Proofs
Study Guide & Practice
Statistics & Prob Standard & Extended

Data Collection & Presentation

Qualitative vs quantitative data, continuous vs discrete variables, primary vs secondary collection, and frequency tables.

Data ClassificationFrequency TablesSurvey Methods
Study Guide & Practice
Statistics & Prob Standard & Extended

Graphical Data Representation

Histograms with equal and unequal widths, cumulative frequency curves, box-and-whisker plots, and distribution skewness.

HistogramsCumulative FrequencyBox Plots
Study Guide & Practice
Statistics & Prob Standard & Extended

Measures of Central Tendency

Mean, median, and mode for discrete and continuous grouped data, estimated mean, and sensitivity to extreme outliers.

Mean Median ModeGrouped DataModal Class
Study Guide & Practice
Statistics & Prob Standard & Extended

Measures of Spread

Range, interquartile range (IQR), standard deviation, variance, and the 1.5 × IQR outlier boundary test.

Standard DeviationIQROutlier Detection
Study Guide & Practice
Statistics & Prob Standard & Extended

Population & Sampling

Target populations, random sampling, stratified sampling, systematic sampling, convenience sampling, and sampling bias.

Stratified SamplingRandom SamplingBias Analysis
Study Guide & Practice
Statistics & Prob Standard & Extended

Probability

Theoretical vs experimental probability, sample space diagrams, mutually exclusive events, independent events, and tree diagrams.

Theoretical ProbabilityTree DiagramsIndependence
Study Guide & Practice
Statistics & Prob Extended

Conditional Probability

Dependent events, conditional probability formula P(A|B), two-way contingency tables, and Bayes' rule applications.

Conditional ProbabilityContingency TablesBayes' Intro
Study Guide & Practice
Statistics & Prob Extended

Correlation & Regression

Bivariate scatter plots, Pearson's product-moment correlation coefficient (r), lines of best fit, and regression forecasting.

Scatter PlotsPearson's rLinear Regression
Study Guide & Practice
Levels

Standard and Extended Mathematics

Standard and Extended levels across four branches.

Standard

Mathematics: Standard Level

Core syllabus covering essential topics across all four branches. Prepares students well for DP Mathematics AI SL or AA SL.

  • Core concepts across all four branches
  • Preparation for DP SL pathways
  • Focus on conceptual understanding and application
Extended

Mathematics: Extended Level

Includes all Standard content plus advanced topics, proof, and abstract reasoning. Designed for students targeting DP AA HL or AI HL.

  • All Standard content plus extended modules
  • Preparation for DP Mathematics HL
  • Emphasis on mathematical proof and abstract thinking
Assessment

IB MYP Mathematics Assessment Criteria (A–D)

MYP Mathematics evaluates student achievement across four criterion rubrics, each scored from 1 to 8 (maximum 32 total). Learn how examiners evaluate your work and key strategies to achieve top mark bands.

A

Knowing and Understanding

Maximum Score: 8 Points · Assessed via Tests & Exams

Evaluates foundational concepts, arithmetic fluency, algorithmic methods, and multi-step problem solving in both standard familiar and challenging unfamiliar contexts.

Levels 1–2 (Limited) Selects basic mathematics for simple problems; solves with limited accuracy in familiar situations.
Levels 3–4 (Adequate) Selects and applies mathematics to solve familiar problems correctly; attempts basic unfamiliar questions.
Levels 5–6 (Substantial) Consistently selects and applies mathematics correctly to solve complex familiar problems and moderately challenging unfamiliar tasks.
Levels 7–8 (Excellent · Target Band) Consistently selects and applies appropriate mathematics to correctly solve complex, multi-step problems in both familiar and unfamiliar contexts with complete accuracy.
B

Investigating Patterns

Maximum Score: 8 Points · Assessed via Inquiries

Evaluates inquiry skills: systematically gathering values, recognizing patterns, expressing relationships as general algebraic rules, and mathematically justifying or proving them.

Levels 1–2 (Limited) Applies basic mathematical techniques to identify simple patterns through numerical tables.
Levels 3–4 (Adequate) Describes patterns clearly as relationships or general rules; tests rules with guided examples.
Levels 5–6 (Substantial) Formulates a general rule that is consistent with observations; systematically verifies and tests the rule against boundary values.
Levels 7–8 (Excellent · Target Band) Formulates a correct, general algebraic rule; verifies rule thoroughly across edge cases; provides formal mathematical justification or algebraic proof.
C

Communicating

Maximum Score: 8 Points · Continuous Assessment

Evaluates clarity of mathematical language, standard notation, unit conventions, multi-representational agility (tables, graphs, equations), and logical structure of explanations.

Levels 1–2 (Limited) Uses basic mathematical terminology and notation; working is unstructured or difficult to follow.
Levels 3–4 (Adequate) Uses adequate mathematical language and notation; explanations show some structure and basic logical progression.
Levels 5–6 (Substantial) Usually uses appropriate notation, terms, and units; moves effectively between tables, algebraic equations, and graphs with well-organized reasoning.
Levels 7–8 (Excellent · Target Band) Consistently uses rigorous mathematical language, symbols, and units; shifts effortlessly across representations; produces elegant, concise, and fully coherent lines of reasoning.
D

Applying Mathematics in Real-Life

Maximum Score: 8 Points · Real-World Projects

Evaluates mathematical modeling: extracting key elements from real-world contexts, formulating mathematical models, evaluating accuracy, and justifying whether the solution makes sense.

Levels 1–2 (Limited) Identifies some elements of an authentic context; attempts to apply basic mathematical strategies.
Levels 3–4 (Adequate) Applies mathematical strategies with partial success; reaches a solution but provides minimal contextual interpretation.
Levels 5–6 (Substantial) Selects and applies appropriate strategies to reach a valid solution; correctly comments on whether the solution makes sense in context.
Levels 7–8 (Excellent · Target Band) Identifies all relevant variables; creates accurate mathematical models; justifies degrees of precision; critically evaluates limitations and the practical validity of results.
Resources

Learning Resources

Quick links to branch revision notes and assessment terminology.

Number TopicsOperations, rational & irrational numbers, standard form Algebra TopicsExpressions, equations, functions, sequences Geometry & Trigonometry TopicsArea, volume, transformations, trigonometry Statistics & Probability TopicsData analysis, probability, statistical reasoning IB Command TermsTerminology and assessment expectations
About

About IB MYP Mathematics

The IB Middle Years Programme (MYP) Mathematics curriculum spans ages 11–16 (Years 1–5). It builds conceptual understanding across four branches: Number, Algebra, Geometry & Trigonometry, and Statistics & Probability.

Assessment evaluates four criteria: Criterion A (Knowing and Understanding), Criterion B (Investigating Patterns), Criterion C (Communicating), and Criterion D (Applying Mathematics in Real-Life Contexts).

Related

Explore related IB programmes and reference materials available on SJMaths.

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