Grade 11 · Algebra · 98 pages · PDF

Curved Graphs

Clear, exam-focused notes on quadratic, reciprocal, cubic and exponential graphs, gradients and differentiation, with fully worked examples.

A complete 24-page IGCSE guide to curved graphs. It covers drawing and interpreting quadratic, reciprocal, cubic and exponential graphs, including turning points, asymptotes and shape recognition. It also teaches how to solve equations graphically, including the classic “draw a straight line” technique. Later sections cover finding gradients by drawing tangents, then differentiation with the power rule. These are used to find and classify turning points and to write equations of tangents and normals. Every method comes with fully worked examples and clear graphs. It ends with a summary, a quick-reference strategy and exam tips.

What's in the pack

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• Worksheet · 39 pages

  Worksheet

  Practice questions in the order the notes teach them.

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• Main Notes · 25 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

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• Cheatsheet · 1 page

  Cheatsheet

  The whole topic on a page or two, for the night before.

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• Solutions · 33 pages

  Solutions

  Every worksheet question worked in full.

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Topics covered

• Quadratic graphs and their key features
• Completed square form and the vertex
• Reciprocal graphs and asymptotes
• Solving quadratic equations graphically
• Drawing a straight line to solve a related equation
• Cubic graphs
• Exponential graphs
• Recognising graph shapes
• Gradient of a curve using a tangent
• Differentiation with the power rule
• Finding and classifying turning points
• Equations of tangents and normals

Format

Print-ready PDF

Items

4

Delivery

By email