A comprehensive notes and practice booklet for Section 14: Calculus
Give your students a structured introduction to differentiation with this carefully organised resource, designed specifically for the Cambridge IGCSE Additional Mathematics (0606) syllabus.
The booklet combines concise explanations of key concepts, prompts for worked examples, graded practice questions and exam-style problems. It is suitable for use during lessons, as a basis for revision, or for guided independent study.
What’s included?The 38-page PDF covers the following topics:
- Differentiating powers of (x), including fractional and negative indices
- Differentiating trigonometric functions
- Differentiating (\ln x) and (e^x)
- Second differentiation
- The chain rule
- The product rule
- The quotient rule
- Tangents and normals
- Related rates of change
- Small increments and approximations
- Stationary points and turning points
- Optimisation problems involving maxima and minima
- Clear explanations to introduce and reinforce key differentiation techniques.
- Worked-example prompts that provide opportunities for teachers to model methods and develop mathematical understanding.
- Graded practice questions, progressing from routine skills to more demanding problems.
- Exam-style questions with mark allocations to help students practise presenting mathematical solutions.
- Answers included to support checking, feedback and independent revision.
- Syllabus-focused coverage, with content organised into manageable topic sections.
The booklet begins with a warm-up exercise to revisit prior knowledge and includes questions that develop students’ ability to apply differentiation techniques in unfamiliar and practical contexts.
Syllabus coverageThis resource covers Cambridge IGCSE Additional Mathematics (0606) syllabus objectives 14.1–14.9, including differentiation techniques, gradients, stationary points, connected rates of change, approximations and optimisation.
Please note: Integration and kinematics (syllabus objectives 14.10–14.15) are not included.
A separate set of Differentiation Teacher’s Notes is also available from Spire Education, providing lesson-planning guidance, starters, full worked solutions to examples, exercise guidance and plenaries.
This is an independently produced resource written to support the Cambridge IGCSE Additional Mathematics (0606) syllabus. It is not produced, endorsed or approved by Cambridge International Education.
© 2026 Spire Education. All rights reserved.
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Complete Calculus Resource Bundle – Cambridge IGCSE Additional Mathematics (0606)
**Everything you need to teach, practise and revise calculus in one comprehensive bundle.** Give your students a structured journey from the foundations of calculus through to exam-style practice with this extensive resource collection from Spire Education. Designed for Cambridge IGCSE Additional Mathematics (0606), the bundle combines student notes, detailed teacher support and dedicated examination questions in one coherent package. Ideal for teachers planning a complete calculus unit, departments seeking consistent resources, or students who need clear explanations and targeted practice. ## What’s included? ### 1. Bridging Notes Build the foundations students need before starting calculus, developing the prerequisite knowledge and skills needed for the topics that follow. ### 2. First Principles Notes Introduce differentiation from first principles, helping students understand the underlying ideas behind gradients and differentiation rather than simply memorising rules. ### 3. Differentiation Notes Develop students’ fluency with differentiation techniques through clear explanations, worked-example prompts and carefully graded practice questions. ### 4. Integration Notes Cover integration as the reverse process of differentiation, progressing through standard integrals, boundary conditions, the reverse chain rule, definite integrals, areas, kinematics and travel graphs. ### 5. Calculus Exam Questions Provide additional, targeted practice with separate **calculator and non-calculator question papers**, designed to consolidate understanding and prepare students for examination-style questions. The exam question resources include: - Calculator and non-calculator papers. - Mark schemes to support accurate marking and feedback. - Full worked examples to demonstrate methods and reasoning. - Additional examination-style practice across the covered calculus topics. ## Detailed Teacher’s Notes The accompanying Teacher’s Notes support lesson planning and delivery, including: - Step-by-step worked solutions to examples. - Lesson starters and plenaries, with answers. - Suggested lesson pacing and syllabus references. - Advice on common misconceptions and typical errors. - Guidance on question selection and supporting students through challenging problems. ## Flexible, classroom-ready resources Student notes are provided in PDF and editable Word formats, allowing you to print the materials as supplied or adapt them to suit your classes. PDF versions are ideal for consistent printing and digital distribution, while editable documents make it easier to customise the student-facing materials. Use the bundle for classroom teaching, guided practice, homework, revision, intervention or independent study. ## Why choose the complete bundle? - **A coherent learning sequence:** From prerequisite knowledge and first principles to differentiation, integration and examination practice. - **Comprehensive teacher support:** Reduce preparation time with worked solutions, lesson ideas and teaching guidance. - **Practice for different examination conditions:** Calculator and non-calculator papers help students develop appropriate methods and confidence. - **Resources for teaching and learning:** Combine explanations, graded questions, mark schemes and worked examples in one package. - **Editable student materials:** Adapt the notes to meet the needs of your classes. **Suitable for:** Teachers and students working with the Cambridge IGCSE Additional Mathematics (0606) syllabus, particularly when teaching or revising calculus. This is an independent resource written to support the Cambridge IGCSE Additional Mathematics (0606) syllabus. It is not produced, endorsed or approved by Cambridge. © 2026 Spire Education. All rights reserved.
£12.00
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Complete Calculus Teaching Pack – Cambridge IGCSE Additional Mathematics (0606)
Teach calculus with confidence using this comprehensive four-part resource bundle from Spire Education, covering the journey from the foundations of differentiation through to integration. Designed for the Cambridge IGCSE Additional Mathematics (0606) syllabus, this pack provides structured student notes, carefully graded practice questions, worked-example prompts and detailed teacher guidance to support effective classroom teaching. **Four complete resources in one bundle** **1. Bridging Notes** Build the foundations students need before tackling calculus, helping them develop the prerequisite skills and understanding needed for the topics ahead. **2. First Principles** Introduce differentiation from first principles, developing students’ understanding of gradients, limits and the underlying ideas behind differentiation. **3. Differentiation Notes** Cover the key differentiation techniques, with clear explanations, worked-example prompts and graded practice to build fluency and prepare students for exam-style questions. **4. Integration Teaching Pack** Develop integration as the reverse process of differentiation, progressing through standard integrals, boundary conditions, the reverse chain rule, definite integrals, areas, kinematics and travel graphs. **What makes this bundle valuable?** - **A coherent learning sequence:** Four resources designed to support students as they progress through the foundations and core techniques of calculus. - **Structured student materials:** Clear notes, worked-example prompts and graded practice questions, including exam-style problems. - **Detailed teacher support:** Accompanying Teacher’s Notes with worked solutions, lesson starters, plenaries, pacing suggestions and guidance on common misconceptions. - **Flexible delivery:** Use the materials for classroom teaching, guided practice, homework, revision or independent study. - **Editable student notes:** Editable Word versions are included alongside PDF versions, allowing you to adapt the student materials to suit your classes. **Files included** - Bridging Notes - First Principles Notes - Differentiation Notes - Integration Notes - Accompanying Teacher’s Notes for the relevant resources Student notes are provided in PDF and editable Word formats, with teacher guidance supplied in PDF format. **Ideal for:** Teachers introducing calculus in Cambridge IGCSE Additional Mathematics, departments seeking consistent teaching materials, and students who benefit from structured explanations and carefully sequenced practice. Save planning time and give your students a connected set of resources for learning, practising and revising calculus. This is an independent resource written to support the Cambridge IGCSE Additional Mathematics (0606) syllabus. It is not produced, endorsed or approved by Cambridge. © 2026 Spire Education. All rights reserved.
£10.00
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