This resource combines Bootcamps and an IA Toolkit to support students throughout the IB Mathematics course. Our Bootcamps are carefully sequenced, intensive workshops designed by experienced IB Math teachers to review the key concepts, techniques, and problem-solving skills needed to achieve a 7. Our IA Toolkit provides structured guidance for the Internal Assessment, including how to get started, how the criteria work, and practical activities to help students develop, refine, and evaluate their exploration.

This resource combines topic-based Bootcamps and an IA Toolkit. Bootcamps review key concepts, while the IA Toolkit supports your Internal Assessment.

Develop your understanding in IB Mathematics AI SL using custom-built flashcards, perfect for quick study sessions on desktop or mobile app.

Applications & Interpretation SL

Automatically generate a customized Applications & Interpretation SL quiz, test, or exam using Revision Village's Questionbank. Choose your topics, question types, difficulty level, and marking point targets to create an assessment tailored to your needs. Whether you want guided practice or a realistic exam experience, you can take your exam in either Open Study Mode or Exam Mode.

Number & Algebra

Topic 1 All

Number Skills

Arithmetic Sequences & Series

Geometric Sequences & Series

Sigma Notation

Compound Interest & Depreciation

Amortization (Loans)

Annuities

Systems of Linear Equations

Approximation, Rounding, Decimal Places, Significant Figures, Scientific Notation, Percentage Error...

Arithmetic & Geometric Sequences & Series, Finding Terms & Sum of Terms, Sigma Notation...

Sequences & Series

Compound Interest, Depreciation, Loans & Amortization, Annuities, Using Finance Solver on the Calculator...

Financial Mathematics

Simultaneous equations, quadratic equations, cubic equations, applications...

Functions I

Functions I All

Linear Equations & Graphs

Perpendicular Bisectors

Linear Functions

Quadratic Functions

Cubic Functions

Exponential Functions

Logarithmic Functions

Direct and Inverse Variation

Forms of Linear Lines, Gradient, Intercepts, Parallel & Perpendicular Lines, Perpendicular Bisectors...

Straight Line Equations

Linear Functions, Domain & Range, Rate of Change, Modeling & Real-World Applications...

Forms of Quadratic Functions, Vertex & Axis of Symmetry, Roots, Modeling & Real-World Applications...

Forms of Cubic Functions, Graphing, Modeling & Real-World Applications...

Constants of Proportionality, Direct Variation Equations, Inverse Variation Equations, Graphical Representations...

Direct & Inverse Variation

Exponential Growth & Decay, Asymptotes & Intercepts, The Natural Base e, Financial & Scientific Modeling...

Logarithmic Base 10 and e, Numerical Evaluation of Logarithms, Logarithmic Modeling, Real-World Applications...

Functions II

Functions II All

Topic 2 All

Sinusoidal Functions

Domain & Range, Inverse Functions

Amplitude & Principal Axis, Period & Frequency, Sine and Cosine Graphs, Harmonic Motion & Modeling...

Combinations of Functions, Maxima, Minima, Domain and Range, Real World Applications...

Other Functions

Swapping Domain & Range, Reflection across line y = x, Algebraic Operations, Interpretation in Context...

Inverse Functions

Geometry & Trigonometry

Topic 3 All

Geometry of 3D Shapes

Right Angle Trigonometry (Pythag, Sin/Cos/Tan)

Sine & Cosine Rule, Area of a Triangle, Bearings

Circles, Sectors & Arcs

Voronoi Diagrams

Dimensions, Surface Area, Volume. 3D Shapes Including Spheres, Hemispheres, Cones, Prisms & Pyramids...

Right-Angled Trigonometry, Sine & Cosine Rules, Area of Triangles, Angles of Elevation & Depression, Bearings...

Triangle Geometry

Degrees, Arc Length and Sector Area, Area between to Arcs...

Circle Geometry

Combinations of Circles and Triangles, Segments, Composite Shapes...

Mixed Geometry

Sites/Edges/Cells/Vertices, Perpendicular Bisectors, Nearest Neighbour Interpolation...

Statistics & Probability I

All questions in Statistics & Probability I

Statistics & Probability I All

Descriptive Statistics

Tree Diagrams (Probability)

Venn Diagrams (Probability)

Discrete Random Variables

Binomial Distribution

Normal Distribution

Mean/Median/Mode, Interquartile Range, Histograms, Box & Whisker Plots, Cumulative Freq, Grouped Data...

Basic Probability, Tree Diagrams, Venn Diagrams, Sample Space Diagrams, Conditional Probability...

Probability

Discrete Random Variables & Sample Spaces, Probabilities, Expected Values, Fair Games...

Discrete Probability Distributions

Bernoulli Trials & Binomial Conditions, Expectation & Variance, Cumulative Probabilities, Real-World Modeling...

The Binomial Distribution

The Bell Curve, Cumulative Areas & Graph Shading, Inverse Normal Calculations...

The Normal Distribution

Statistics & Probability II

All questions in Statistics & Probability II

Statistics & Probability II All

Topic 4 All

Bivariate Statistics

Comparing Population Means with t-tests

Chi-squared Test for Independence

Chi-squared Goodness of Fit Test

Scatter Plots, Lines of Best Fit, Pearson's Product Moment Correlation Coefficient, Extrapolation...

Linear Regression

Ranking Data, Non-Linear Data, Ordinal Data, Monotonic Relationships...

Spearman's Rank

Tests for Independence, Goodness of Fit Tests, Degrees of Freedom, Expected Frequencies...

Chi Squared Tests

Forming hypotheses, One-Tail & Two-Tail, Two-sample, Pooled...

t-Tests

Calculus

Topic 5 All

Differentiation Basics, Tangents & Normals

Maxima / Minima & Optimization

Integration Basics, Area Under the Curve

Trapezoidal Rule

The Power Rule, Tangents & Normals, Maxima & Minima, Decreasing & Increasing Functions...

Differentiation

Functions & Constraints, The Derivative & Critical Points, Maxima & Minima, Real-World Applications...

Optimization

Equation of a Curve, Constant of Integration (+C), The Power Rule for Integration, Indefinite Integrals...

Anti-Differentiation

Definite Integrals, Area Underneath a Curve, Area Between Two Curves...

Integration & Areas

Trapezoidal Intervals, The Trapezoidal Rule Formula, Overestimation vs. Underestimation, Percentage Error...

IB Mathematics Applications & Interpretation SL - Revision Ladder
Level 8

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More IB Mathematics Applications & Interpretation SL Resources

Questionbank

Key Concepts

Bootcamps & IA Toolkit

Practice Exams

Past Papers

Flashcards

IB Mathematics Applications & Interpretation SL - Revision LadderLevel 8