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Complete, ready-to-use unit planner for IB Mathematics Applications & Interpretation, Calculus topic.

This comprehensive 3-hour unit planner covers SL5.1 (introduction to limits and the derivative as gradient function and rate of change) - everything you need to introduce students to the fundamental concepts of calculus before any formal differentiation rules are taught.

What’s included:

3 engaging activities: “Zooming in” - average to instantaneous rate of change, notation-matching relay, and gallery walk of rate-of-change interpretations

Formative assessments with exit tickets, whiteboard checks, and peer-marked homework

Summative assessment design (20-minute quiz with technology/no-technology sections)

Detailed common misconceptions section with ready-to-use counter-strategies

Explicit TOK connections (value of limits, Zeno’s paradoxes, Newton-Leibniz dispute)

GDC skills guidance for table mode, trace/zoom functions, and graphical estimation

Graded homework menu (3-tiered with fluency, application, and extension options)

Sample exam-style questions with worked solutions

Complete resource list including free online tools (GeoGebra, Desmos, Khan Academy)

Cross-curricular connections and ATL skills integration

CAS-linked real-world measurement activities

International-mindedness through multicultural history of calculus

Key features:

Inquiry-based: Students discover limits through numerical estimation before formal notation

Conceptual focus: Average vs instantaneous rate of change distinction

Real-world contexts: Falling balls, cooling drinks, tank filling, business costs

Multiple notations: dy/dx, f′(x), and context-specific Leibniz forms

Student-friendly interpretation: Complete contextual sentences with correct units

Technology integration: GDC table mode, zooming, and spreadsheet alternatives

Sample Exploration extract: “Estimating the instantaneous cooling rate of a hot drink”

Historical connections: Newton-Leibniz dispute, Indian mathematics, Archimedes

Why use this unit planner?

Saves 5+ hours of planning time

Aligned with updated IB guide (FA2021, updated Aug 2025)

Based on common IB examiner report findings

Ready for immediate classroom use

Editable format for customization

Builds conceptual foundation for the entire Calculus topic

Perfect for both new and experienced IB teachers seeking a structured, engaging approach to introducing calculus through limits and rates of change.

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Creative Commons "Sharealike"

Get this resource as part of a bundle and save up to 20%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

IB DP Mathematics AI: Complete Course Package - Full Curriculum Bundle - Master SOW, 50 Unit Planners for All 5 Topics

The ultimate all-in-one resource for teaching the entire IB Mathematics Applications & Interpretation course - full two-year programme, 50 unit planners, and complete IA guidance! This comprehensive package includes EVERYTHING you need to deliver the complete IB DP Mathematics AI course for first assessment 2025. With a detailed Scheme of Work Excel workbook plus 50 editable Word unit planners, this bundle represents over 200 hours of planning and curriculum design, saving you countless hours of preparation time. What's included in this complete package: Excel Scheme of Work Workbook (Master Planning Document): * Master SOW: Week-by-week plan for all 58 units across 2 years - hours, concepts, AoS, milestones, resources * Assessment Calendar: Every external and internal assessment event plotted across both years * Concept & Skills Tracker: Heatmap of the 12 IB key concepts across every unit (Approximation, Change, Equivalence, Generalization, Modelling, Patterns, Quantity, Relationships, Representation, Space, Systems, Validity) * AHL Integration Map: Where every AHL-only unit sits in the sequence, with rationale and hours * Exploration Dashboard: Per-student tracking of all 5 Mathematical Exploration criteria (A-E) * Toolkit Tracker: Mathematical Toolkit skill coverage across all 4 TK units * Resource Index: Every document in the package - what it is, who it's for, what's in it * Differentiation Map: Unit-by-unit SL/HL split with hours and extension focus * Command Terms Reference: All official IB MAI command terms with AO level and paper applicability * 58 Detailed Unit Tabs: Complete lesson-by-lesson breakdown for every unit (1.1 through TK.4) 50 Editable Unit Planners (Word Documents): * Topic 1: Number & Algebra (6 units - 16 SL hrs / 29 HL hrs) * Topic 2: Functions (8 units - 31 SL hrs / 42 HL hrs) * Topic 3: Geometry & Trigonometry (9 units - 18 SL hrs / 46 HL hrs) * Topic 4: Statistics & Probability (13 units - 36 SL hrs / 52 HL hrs) * Topic 5: Calculus (10 units - 19 SL hrs / 41 HL hrs) * Mathematical Toolkit & Exploration (4 units - 30 hrs SL & HL) 1. TK.1 Toolkit Foundations - Mathematical Thinking, Inquiry & Modelling 2. TK.2 Exploration Launch - Topic Selection, Stimuli & Criteria A-B 3. TK.3 Draft Development - Data, Methodology, Personal Engagement & Criteria C-D 4. TK.4 Final Refinement & Submission - Criterion E, Authenticity & Moderation Prep What's included in every unit planner: * Unit overview with IB Level, Topic, Year/Term/Weeks, Teaching Time * Key Concepts and Application of Skills (AoS) focus * Guiding questions aligned to IB Inquiry framework * Complete IB content statements with syllabus references * Command Terms mapped to each unit * Lesson-by-lesson plans with learning focus, activities & pedagogy * Resources and references (MAI Guide page numbers, coursebook references) * Formative assessment guidance * TOK connections specific to each unit's content * Approaches to Learning (ATL) skills integration * Teacher notes and post-unit reflection space Why buy this complete package? * 200+ hours of planning condensed into one comprehensive package * 50 editable unit planners - fully customisable to your teaching style * Complete Excel Scheme of Work with 13 tracking and planning tabs * SL and HL fully integrated - teach combined classes with confidence * Mathematical Exploration (IA) fully supported across all 4 TK units * IB examiner-informed - common misconceptions addressed throughout * Editable Word and Excel formats for easy customisation * Ready for immediate use - just add your school name and teacher details * Perfect for new teachers - complete curriculum coverage without the stress * Valuable for experienced teachers - fresh activities and updated resources Perfect for: New IB teachers seeking complete curriculum coverage; experienced teachers wanting time-saving resources and fresh activities; departments seeking consistent, high-quality curriculum documentation; teachers preparing for IB inspection or curriculum review. This complete package gives you everything you need to deliver the entire IB DP Mathematics AI course - from Day 1 of Year 1 through to final submission - all in one comprehensive bundle! #IBMath #MathematicsAI #IBDP #IBTeacher #MathTeacher #SchemeOfWork #CompleteCurriculum #FullCourse #Topic1 #Topic2 #Topic3 #Topic4 #Topic5 #MathematicalExploration #InternalAssessment #IA #AHL #UnitPlanner #InquiryBasedLearning #TOK #GDC #InternationalBaccalaureate #MathResources #TeachingMath #IBMathAI #ExamPreparation #DifferentiatedInstruction #STEM #MathematicsEducation #NumberAndAlgebra #Functions #Geometry #Trigonometry #Statistics #Probability #Calculus #Limits #Derivatives #Integration #Vectors #Matrices #ComplexNumbers #GraphTheory #VoronoiDiagrams #Regression #BinomialDistribution #NormalDistribution #Hypothesis91ting #ConfidenceIntervals #MarkovChains #DifferentialEquations #Kinematics #NumericalMethods #PhasePortraits #MathIA #IBMathAI #MathTeacher #IBResources #CurriculumPlanning #TeacherTools #EditableResources #TwoYearCourse #FirstAssessment2025 #FA2025 #SL #HL #CombinedClassroom #MathEducation #TeachingResources #IBDiploma #HighSchoolMath #SecondaryMath #MathCurriculum #CompletePackage #AllInOne #TimeSaver #TeacherPayTeacher #TpT #IBMathAI #MathsAI #ApplicationsAndInterpretation #IBMaths #MathsTeacher

£115.75

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