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
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