
Complete Unit Planner Bundle for IB Mathematics Analysis and Approaches Topic 5: Calculus
Covers all 10 teaching units from T5-A to T5-J. 70 structured lesson plans across the entire calculus strand. Designed for combined SL/HL classrooms.
What’s Inside?
10 complete 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).
Each unit planner follows the same comprehensive structure – SL/HL differentiation map, prior knowledge audit with diagnostic questions, command term focus, transfer goals, content/skills/misconceptions breakdown, historical context/NOS connections, TOK questions, upstream/downstream links, 7 lesson plans (75 min each) including cross-curricular hooks, student activities (card sorts, error detection, group problem-solving), IB exam connections, formative/summative assessments, GDC techniques, ATL skills, resources, and teacher reflection.
SL/HL differentiation – HL extensions include:
Formal epsilon-delta definition of a limit & the Squeeze Theorem;
Proof that differentiability implies continuity;
First-principles derivation of d/dx(e^x);
Higher-order derivatives & logarithmic differentiation;
Implicit differentiation (full treatment);
Integration by substitution & by parts (including cyclic parts);
Euler’s method for numerical approximation;
Maclaurin series & Euler’s Formula;
L’Hôpital’s Rule & improper integrals.
Assessment – Formative: entry/exit tickets, formula sprints, error parade analysis, GDC practice, peer-assessment activities. Summative: 10 end-of-unit tests (SL + HL sections), plus final capstone investigation. Full mark schemes.
Tags
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