Prior content: AS Co-Ordinate Geometry, Trigonometry (Part 2) Addition Formulae, AS Circles
Previous Section: Trigonometry (Part 2) Addition Formulae
Next Section: Differentiation
Contents
- Whole Topic Notes
- 8A Finding Cartesian Equations
- 8B Finding Cartesian Equations with Trig
- 8C Sketching Graphs
- 8D Intersections
- 8E Modelling
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Parametric Equations Section
- Dr Frost Parametric Equations Slides✦
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
8A Finding Cartesian Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- (up to 3:57 with domains & ranges discussed from 9:00)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra 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.
- 594c: Determine a Cartesian equation of an exponential function expressed in parametric form.
- 594g: Determine the Cartesian equation where the parametric equations involve reciprocals.
- 594: Exam Practice: Parametric equations and conversion between Cartesian and parametric forms
Other resources
Other Videos
Courtesy of Maths Genie (up to 1:40 and 3:09 to 4:15 and from 7:09 to 8:26)
Alternative Handouts
Activities
- Berwick Maths Diagnostic Questions
- WW Some Fun Graphs Word or PDF
- Transum
Worksheets
- Jethwa Maths Starter Activity (p1-2)
- MadAsMaths (T. Madas)
- Parametric Equations Algebraic Eliminations Q1–8
- Parametric Equations Exam Questions Q2, 32, 48, 105, 112, 137 (difficulty 2–5 of 5)
8B Finding Cartesian Equations with Trig
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 594b: Determine a Cartesian equation of a circle expressed in parametric form.
- 594h: Determine a Cartesian equation where the parametric equations involve double angle formulae or a sum of angles. (not yet active)
- 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
Other Videos
Courtesy of Maths Genie (1:40 to 3:09 and 4:15 to 7:09 and from 8:26)
Alternative Handouts
Activities
- Berwick Maths Diagnostic Questions
- WW Some Fun Graphs Word or PDF
Worksheets
- Jethwa Maths Starter Activity (p7-8)
- MadAsMaths (T. Madas)
- Parametric Equations Trigonometric Eliminations Q1–7
- Parametric Equations Exam Questions Q20–21, 30, 41, 43, 71, 75, 78, 85, 109–110, 113, 135–136, 139–140 (difficulty 3–5 of 5)
- Trigonometry Exam Questions Standard Questions Q50; Hard Questions Q42, 79; Enrichment Questions Q75 (difficulty 3–5 of 5)
8C Sketching Graphs
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra 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
Other Videos
Courtesy of Maths Genie (2:28 to 3:57 and from 5:57, table of values only)
Alternative Handouts
Activities
- Berwick Maths Diagnostic Questions
- MEI Matching Activity✦ (First Page Only)
- Underground Maths Parametric Paths
- WW Some Fun Graphs Word or PDF
- Desmos
- Parametric Curves (by Joshua Bowman: graph parametric curves and find their equations)
Worksheets
- Jethwa Maths Starter Activity (p5-6)
- MadAsMaths (T. Madas)
- Parametric Equations Exam Questions Q42 (difficulty 3 of 5)
- Curve Sketching Q72 (difficulty 5 of 5)
8D Intersections
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 594d: Use parametric equations to find intersections with the coordinate axes.
- 594f: Determine the point of intersection of two curves where one is given as a Cartesian equation and the other a pair of parametric equations. (not yet active)
- 594: Exam Practice: Parametric equations and conversion between Cartesian and parametric forms
Other resources
Other Videos
Courtesy of Maths Genie (up to 2:28 and 3:57 to 5:57, axes intercepts only)
Alternative Handouts
Activities
Worksheets
- Jethwa Maths Starter Activity (p3-4)
- MadAsMaths (T. Madas)
- Parametric Equations Parametric Algebra Q1–5
- Parametric Equations Exam Questions Q4, 7–8, 26, 74, 89 (difficulty 2–4 of 5)
8E Modelling
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests (Coving Whole Topic)
Extra Questions
- No Dr Frost Questions Specifically on Modelling
Key Skills
No Key Skills Yet
Further Practice
Other resources
Alternative Handouts
Activities
Worksheets
- Jethwa Maths Starter Activity (p9-10)
- MadAsMaths (T. Madas)
- Parametric Equations Exam Questions Q62 (difficulty 4 of 5)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for A2 Parametric Equations
External Whole Topic Past Paper Style Questions
- WW Dr Frost Style QQQs (Version 1) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- WW Dr Frost Style QQQs (Version 2) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- Jethwa Maths Worksheet, Topic Test and Starter Activity
- Solomon Worksheet and Solutions
- PMT
Worksheets
- Mathshelper (Jon Stone)
- MathedUp
- Parametric equations: Questions
- Maths Genie
- Parametric Equations: Questions · Solutions · Lesson · Topic page
- Jethwa Maths
- Year 2 Coordinate Geometry: Worksheets · Unit Test
- Mathsaurus (Kevin Olding)
- Naiker Maths
- Parametric Equations: Exam Qs 2005–11 · Mark scheme · Exam Qs 2012–17 · Mark scheme
- Physics & Maths Tutor
- Parametric Equations: Questions 2021–24 · Mark scheme · Model answers · Questions 2018–21 (with MS) · Model answers
- MME
- MadAsMaths (T. Madas)
- Parametric Equations Exam Questions Q12, 14–15, 17, 19, 22, 24, 28–29, 33–34, 36, 45, 51, 53–56, 59, 61, 67, 70, 72–73, 102–103, 130, 133–134 (difficulty 3–5 of 5)
Activities
- MEI
- Standards Unit
- Dan Walker
- Underground Mathematics
- Karen Hancock (kshancock)
- Andy Lutwyche
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.