Complete Unit Planner Bundle for IB Mathematics Analysis and Approaches — All 5 Topics (38 Planners, 250+ Lessons)
The most comprehensive IB Mathematics AA unit planner collection available. Covers the ENTIRE two-year course across all five Topics, with 38 complete unit planners and over 250 structured lesson plans. Designed for combined SL/HL classrooms from Year 1 through Year 2 completion.
What's Inside?
38 Complete Unit Planners Across All 5 Topics
Topic 1: Number and Algebra — 8 Unit Planners
T1-A Sequences & Series — Arithmetic and Geometric (7 lessons)
T1-B Exponents, Logarithms & Surds (7 lessons)
T1-C The Binomial Theorem & Pascal's Triangle (7 lessons)
T1-D Proof, Mathematical Induction & Counterexamples (7 lessons)
T1-E Systems of Equations & Matrices (7 lessons)
T1-F Complex Numbers — Cartesian Form (7 lessons)
T1-G Complex Numbers — Polar Form & De Moivre's Theorem (7 lessons)
T1-H Complex Roots of Polynomials & Euler's Form (7 lessons)
SL/HL differentiation highlights:
HL: Mathematical induction (full treatment)
HL: Systems of linear equations (unique/infinite/no solutions)
HL: Complex numbers — polar form, De Moivre's theorem, nth roots of unity
HL: Euler's form e^(iθ) and complex roots of polynomials
Topic 2: Functions — 5 Unit Planners
T2-A Function Notation, Domain & Range (7 lessons)
T2-B Transformations & Graph Sketching (7 lessons)
T2-C Quadratic Functions & the Discriminant (7 lessons)
T2-D Rational Functions & Asymptotes (7 lessons)
T2-E Exponential & Logarithmic Functions (7 lessons)
SL/HL differentiation highlights:
HL: Sum and product of roots of polynomials
HL: Rational functions with oblique asymptotes
HL: Solving exponential and logarithmic inequalities
HL: The relationship between exponential and logarithmic functions
Topic 3: Geometry and Trigonometry — 7 Unit Planners
T3-A Coordinate Geometry — Lines, Circles & Voronoi Diagrams (7 lessons)
T3-B Trigonometric Ratios, The Unit Circle & Graphs (7 lessons)
T3-C Trigonometric Identities & Equations (7 lessons)
T3-D Trigonometric Proofs & Compound Angles (7 lessons)
T3-E Vectors — 2D and 3D (7 lessons)
T3-F The Scalar Product & Vector Applications (7 lessons)
T3-G Vector Equations of Lines & Planes (7 lessons)
SL/HL differentiation highlights:
HL: Voronoi diagrams with missing sites
HL: Double-angle identities & further trigonometric proofs
HL: Vector equations of lines in 3D
HL: Vector equations of planes, intersections, and distances
Topic 4: Statistics and Probability — 8 Unit Planners
T4-A Descriptive Statistics & Data Presentation (7 lessons)
T4-B Probability — Concepts, Sample Space & Tree Diagrams (7 lessons)
T4-C Discrete Random Variables & the Binomial Distribution (7 lessons)
T4-D The Normal Distribution & Standardisation (7 lessons)
T4-E Bivariate Statistics & Correlation (7 lessons)
T4-F Linear Regression & Prediction (7 lessons)
T4-G The Poisson Distribution & Approximations (7 lessons)
T4-H Statistical Inference & Hypothesis Testing (7 lessons)
SL/HL differentiation highlights:
HL: Bessel's correction and population vs sample variance
HL: Linear interpolation for grouped data (quartiles, percentiles)
HL: Bayes' theorem and the law of total probability
HL: The Poisson distribution and the binomial-to-Poisson approximation
HL: The normal approximation to the binomial with continuity correction
HL: Linear combinations of independent normal variables
HL: The coefficient of determination (r-squared)
HL: Residual analysis and outlier influence
HL: Hypothesis testing for the mean
HL: Confidence intervals for the mean
Topic 5: Calculus — 10 Unit Planners
T5-A Limits, Continuity & Differentiation from First Principles (7 lessons)
T5-B Differentiation Rules, Tangent Lines & Graph Analysis (7 lessons)
T5-C Optimisation & Kinematics (7 lessons)
T5-D Derivatives of Inverse Trig Functions & Implicit Differentiation (7 lessons)
T5-E Indefinite & Definite Integrals, the Fundamental Theorem of Calculus (7 lessons)
T5-F Volumes of Revolution & Related Rates (7 lessons)
T5-G Integration by Substitution & Integration by Parts (7 lessons)
T5-H Differential Equations & Euler's Method (7 lessons)
T5-I Maclaurin Series, Euler's Formula & Taylor Approximations (7 lessons)
T5-J L'Hôpital's Rule & Improper Integrals (7 lessons)
SL/HL differentiation highlights:
HL: Formal epsilon-delta definition of a limit & the Squeeze Theorem
HL: Proof that differentiability implies continuity
HL: First-principles derivation of d/dx(e^x)
HL: Higher-order derivatives & logarithmic differentiation
HL: Implicit differentiation (full treatment)
HL: Integration by substitution & by parts (including cyclic parts)
HL: Euler's method for numerical approximation
HL: Maclaurin series & Euler's Formula
HL: L'Hôpital's Rule & improper integrals
What Each Unit Planner Includes
Each of the 38 planners follows the same comprehensive, exam-aligned structure:
Section Content
Unit Overview SL/HL differentiation map, prior knowledge audit with diagnostic questions, command term focus, transfer goals
Content & Skills Students will know / develop the skill of / grasp that... breakdown, content/skills/conceptual misconceptions, factual/procedural/debatable inquiry questions
Connections Historical context & NOS, international-mindedness, TOK connections, upstream/downstream links, cross-curricular IB connections
Lesson Plans 7 lessons per unit (75 min each) with learning outcomes, cross-curricular hooks, prior knowledge checks, direct instruction, student activities, IB exam connections, formative assessment, homework, teacher notes
Assessment Formative assessments (exit tickets, formula sprints, error parades, GDC practice); Summative assessments (end-of-unit tests with SL + HL sections, full mark schemes)
ATL & Resources Thinking, communication, self-management, research skills; GDC techniques; print, online/digital, and teacher-made resources
Reflection Content, skills, and conceptual/TOK reflection prompts; scaffolding, extension, identity and inclusion considerations
Assessment Overview
Formative Assessment: Entry/exit tickets, formula sprints, Venn diagram construction, tree diagrams, GDC practice, error parade analysis, peer-assessment activities, self-assessment checklists.
Summative Assessment: 38 end-of-unit tests with SL and HL sections. Full mark schemes provided for every test. Final capstone investigation for Topic 5.
Key Features
SL/HL Differentiation — Every planner explicitly maps SL core content against HL additional content, with HL extensions identified throughout lesson activities and assessments.
Exam-Focused — Each lesson includes IB exam connections with past-paper style questions, Paper 1 and Paper 2 requirements, and GDC techniques.
Complete Coverage — The 38 planners cover the entire IB Mathematics Analysis and Approaches syllabus across all five topics, designed for a two-year course.
Combined Classroom Ready — Built specifically for combined SL/HL classrooms, with clear differentiation strategies and activities suitable for mixed-level students.
TOK & NOS Integrated — Every unit includes epistemology/TOK connections, historical context, and nature of science/scientific knowledge links.
Real-World Connections — Cross-curricular hooks and contextual applications across physics, economics, biology, engineering, computer science, and more.
Perfect For:
Teachers delivering the complete IB DP Mathematics Analysis and Approaches course
Combined SL/HL classrooms
Schools implementing a two-year curriculum
Building rigorous mathematical foundations from Year 1 through Year 2
Preparing students for Paper 1 (non-GDC) and Paper 2 (GDC permitted)
Internal Assessment preparation and support
New and experienced IB teachers
Curriculum mapping and departmental planning
Independently produced by Samata Reviews. Not affiliated with or endorsed by the International Baccalaureate Organization.
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