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Contents
- Whole Topic Notes
- 2A Parametrics
- 2B Parabolas
- 2C Parabolas & Chords
- 2D Rectangular Hyperbolas
- 2E Tangents & Normals
- 2F Problem Solving with Tangents & Normals
- 2G Loci
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs Not Available Yet (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Further Pure 1 Conic Sections Part 1 Section
- Dr Frost Further Pure 1 Conic Sections Part 1 Slides
- Blank Notes to Follow Slides Not Yet Available
Notes
- Physics & Maths Tutor
- FP1 Ch.2 Conic Sections 1: Cheat sheet
2A Parametrics
Textbook resources
Tutorial Videos
2.1 Parametric Equations (FP1 – Chapter 2: Conic Sections 1) by Hinds Maths
A-Level Maths: C3-07 Parametric Equations: Parametric to Cartesian by TLMaths
Edexcel A Level Maths: 8.2 Using Trigonometric Identities (Parametric and Cartesian Equations) by Zeeshan Zamurred
Dr Frost resources
No Live Lesson from Bicen Maths Yet
Download Blank Notes
Word Doc
PDF
Download Slides
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 594a: Determine the Cartesian equation of a quadratic expressed in parametric form.
- 594b: Determine a Cartesian equation of a circle expressed in parametric form.
- 594d: Use parametric equations to find intersections with the coordinate axes.
- 594g: Determine the Cartesian equation where the parametric equations involve reciprocals.
- 594i: Determine a Cartesian equation where the parametric equations involve sec, textrmcosec or cot (not yet active)
- 594: Exam Practice: Parametric equations and conversion between Cartesian and parametric forms
Other resources
Videos & Other Multimedia
Conic Loaf of Bread Courtesy of Numberphile
Online Platform
2B Parabolas
Textbook resources
Tutorial Videos
2.2 Parabolas (FP1 – Chapter 2: Conic Sections 1) by Hinds Maths
A Level Further Maths | Further Pure 1 | Parabolas 🧮 by AJMaths
Parabola : Directrix, Focus, locus and equation : ExamSolutions by ExamSolutions
Parametric form of a Parabola : ExamSolutions by ExamSolutions
Dr Frost resources
Download Blank Notes
Word Doc
PDF
Download Slides
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 754a: Recognise circles, parabolas, ellipses and hyperbolae as sections of a double cone. (not yet active)
- 754b: Understand circles, parabolas, ellipses and hyperbolae as being defined as a locus of points with some interaction with a focus/foci and a directrix/directrices. (not yet active)
- 755a: Determine the equation of a parabola with a given its focus and directrix. (not yet active)
- 755b: Determine the coordinates of the focus and the equation of the directrix of a parabola. (not yet active)
- 755c: Write the parametric equations of a parabola given its Cartesian equation, or vice versa. (not yet active)
- 754: Exam Practice: Geometric definitions of conic sections (not yet active)
- 755: Exam Practice: Parabolas (with vertex at the origin) and their focus and directrix (not yet active)
Other resources
Enrichment Video
Stand-up Maths: There is only One True Parabola
Alternative Handouts
Online Platform
Activities
- Math = Love (Sarah Carter)
- The Chalkface
- Focus and Directrix: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
Online Platforms
- Khan Academy
- Parabolas: focus & directrix: Videos & practice
Worksheets
- MadAsMaths (T. Madas)
- Conic Sections Parabola Q9, 14, 15, 18, 20, 24, 25, 27, 33, 34 (difficulty 3–5 of 5)
2C Parabolas & Chords
Textbook resources
Tutorial Videos
Chords on a Parabola (1 of 2: Deriving its equation) by Eddie Woo
Dr Frost resources
Download Blank Notes
Word Doc
PDF
Download Slides
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Other resources
Alternative Handouts
Online Platform
Worksheets
- MadAsMaths (T. Madas)
- Conic Sections Parabola Q19 (difficulty 4 of 5)
2D Rectangular Hyperbolas
Textbook resources
Tutorial Videos
2.3 Rectangular Hyperbolas (FP1 – Chapter 2: Conic Sections 1) by Hinds Maths
Rectangular Hyperbola (Cartesian and Parametric Forms) : ExamSolutions Maths Tutorials by ExamSolutions
Rectangular Hyperbola (1 of 3: Working out the Eccentricity of the Rectangular Hyperbola) by Eddie Woo
Dr Frost resources
Download Blank Notes
Word Doc
PDF
Download Slides
Extra Questions
- Dr Frost Questions (very short)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Other resources
Alternative Handouts
Online Platform
2E Tangents & Normals
Textbook resources
Tutorial Videos
Tangent / Normal to a parabola (3) (parametric type) : ExamSolutions by ExamSolutions
Rectangular Hyperbola (Tangent/Normal – Parametric) : ExamSolutions Maths Tutorials by ExamSolutions
A-Level Maths Edexcel Coordinate Systems (6) – FP1 Edexcel Maths A-Level by HEGARTYMATHS
Dr Frost resources
Download Blank Notes
Word Doc
PDF
Download Slides
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 755d: Find an equation of the tangent to a parabola y2 = 4ax using its parametric form. (not yet active)
- 755e: Find an equation of the normal to a parabola y2 = 4ax using its parametric form. (not yet active)
- 756c: Find the equation of the tangent to a rectangular hyperbola using its parametric form. (not yet active)
- 756d: Find the equation of the normal to a rectangular hyperbola using its parametric form. (not yet active)
- 755: Exam Practice: Parabolas (with vertex at the origin) and their focus and directrix (not yet active)
Other resources
Alternative Handouts
Online Platform
Worksheet & Activities
Worksheets
- MadAsMaths (T. Madas)
- Conic Sections Parabola Q1–8, 10, 12, 13, 16, 22, 23, 28; Rectangular Hyperbola Q1, 3, 5–7, 9 (difficulty 2–4 of 5)
2F Problem Solving with Tangents & Normals
Textbook resources
Tutorial Videos
Tangent / Normal to a parabola (2) : ExamSolutions by ExamSolutions
Rectangular Hyperbola (Tangent/Normal – Cartesian) : ExamSolutions Maths Tutorials by ExamSolutions
Dr Frost resources
Download Blank Notes
Word Doc
PDF
Download Slides
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Other resources
Alternative Handouts
Online Platform
Worksheet & Activities
Worksheets
- MadAsMaths (T. Madas)
- Conic Sections Parabola Q17, 21, 26, 29–31, 35, 37, 38; Rectangular Hyperbola Q2, 4, 8, 10–13, 15, 16 (difficulty 2–5 of 5)
2G Loci
Textbook resources
Tutorial Videos
2.5 Loci (FP1 – Chapter 2: Conic Sections 1) by Hinds Maths
A Level Further Maths | Further Pure 1 | Loci (Conic Sections 1) 🧮 by AJMaths
Dr Frost resources
Download Blank Notes
Word Doc
PDF
Download Slides
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 759a: Prove that the locus of points equidistant from a focus (a,0) and directrix x=-a has equation y2 = 4ax (not yet active)
- 759c: Determine the equation of the locus of the point of intersection of two normals to a parabola where the chord of the two points on the curve passes through the focus. (not yet active)
- 759: Exam Practice: Loci problems involving parabolas, ellipses and hyperbolae
Other resources
Alternative Handouts
Activities
Worksheets
- MadAsMaths (T. Madas)
- Conic Sections Parabola Q11, 32, 36 (difficulty 3–5 of 5)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Further Pure 1 Conic Sections
External Whole Topic Past Paper Style Questions
- WW Dr Frost Style QQQs Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
Activities
- Math = Love (Sarah Carter)
Worksheets
- Mathshelper (Jon Stone)
- MathedUp
- Conics: Questions
- Physics & Maths Tutor
- FP1 Ch.2 Conic Sections 1: Questions by topic