Prior Content: Solving Simple Equations, Angles in Polygons, Ratio & Basic Proportion (Including Conversions), Pythagoras, Using a Calculator/ BIDMAS
Possible Next Steps: Advanced Trigonometry, Exact Trig & Graphs, Prisms
Contents
- 1.1 Labelling Triangles
- 1.2 Introducing Trigonometric Ratios
- 2.1 Finding the Hypotenuse (Or Adjacent with Tan)
- 2.2 Finding Any Side
- 3.1 Finding Angles
- 3.2 Mixed Questions
- 4.1 Using Trigonometry in 3 Dimensions
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Labelling Triangles
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Trigonometry Introduction (Up to 1:00)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Labelling right triangles & trig ratios: Videos & practice
Activities & Resources
- Pixi Maths
- SOH CAH TOA ppt (Slides 1-5)
- SOH CAH TOA Purposeful Practice
- Math = Love (Sarah Carter)
- Transum
- BossMaths
Worksheets
Dr Frost Resources
Dr Frost Video
K482: Label Sides Relative to a Given Angle in a Right-Angled Triangle.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
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
- 321a: Label sides relative to a given angle in a right-angled triangle.
- 321: Exam Practice: Trigonometry to determine side lengths in a right-angled triangle
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.2 Introducing Trigonometric Ratios
Teaching Videos, Exercises & Activities
Tutorial Videos
Trigonometry | SOH CAH TOA | Sin, Cos, Tan by Cognito
How to determine the hypotenuse, opposite, and adjacent legs of a triangle by Brian McLogan
Where do Sin, Cos and Tan Actually Come From – Origins of Trigonometry – Part 1 by Syed Institute
Corbett Maths (From 1:00)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Introducing the trig ratios: Videos & practice
Activities & Resources
- joshcutts
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Open Middle
- The Chalkface
- Trig Triangle: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Interactive Maths
- Discovering Trig Ratios: GeoGebra
- Go Teach Maths
- thewessens.net Classroom Apps
- Trig Ratio Race (game: choose the largest sin, cos or tan ratio)
- Ticktock Maths
- Introduction to Trigonometry lesson (slides)
- NCETM
Worksheets
- Dr Austin Maths
- Miss Konstantine Labelling worksheet
- CIMT MEP (online self-checking)
- Mr Morley Maths
- Introduction to Trigonometry: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
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
- 321b: Select a trigonometric ratio.
- 321: Exam Practice: Trigonometry to determine side lengths in a right-angled triangle
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.1 Finding the Hypotenuse (Or Adjacent with Tan)
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Trigonometry Missing Sides – Using Formulae Triangles (Up to 3:46)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Finding a side using trigonometry: Videos & practice
Activities & Resources
- BossMaths
Worksheets
- Dr Austin Maths
- Maths 4 Everyone (Top Row)
Dr Frost Resources
Dr Frost Video
K483: Use Sin, Cos and Tan to Find an Unknown Shorter Length in a Right-Angled Triangle.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
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
- 321d: Use sin, cos and tan to determine the hypotenuse or adjacent side in a right-angled triangle.
- 321: Exam Practice: Trigonometry to determine side lengths in a right-angled triangle
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.2 Finding Any Side
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Trigonometry Missing Sides – Using Formulae Triangles
Online Platforms (with Videos & Exercises)
Activities & Resources
- Andy Lutwyche
- The Chalkface
- Interactive Maths
- Finding Missing Lengths: Finding Lengths | Video
- Go Teach Maths
- evm86
- Ticktock Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Miss Konstantine Mixed worksheet 1, worksheet 2 & worksheet 3 (Applied)
- Maths 4 Everyone (First Two Rows)
- CIMT MEP (online self-checking)
- Pret Homework (Jo Morgan)
- Trigonometry✦ (Jo Morgan, docx)
- Pret Homework (@Mr3142)
- Trigonometry v2 (@Mr3142, docx)
Dr Frost Resources
Dr Frost Video
K484: Use Sin, Cos and Tan to Find the Hypotenuse or Adjacent Side in a Right-Angled Triangle.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
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
- 321c: Use sin, cos and tan to determine an unknown shorter length in a right-angled triangle.
- 321d: Use sin, cos and tan to determine the hypotenuse or adjacent side in a right-angled triangle.
- 321f: Use trigonometry twice to determine side lengths on triangles with a shared side.
- 321g: Determine a length in a right-angled triangle by first using a ratio to determine the angles.
- 321h: Determine lengths involving angles of depression or elevation.
- 321r: Use trigonometry to determine a length in a bearings problem involving a right-angled triangle.
- 321: Exam Practice: Trigonometry to determine side lengths in a right-angled triangle
Further Practice
- Practise Questions
Extension Materials
Worksheet
- Great teaching ideas Trig stack
- DRoseMaths Trig and Pythagoras stack (Tes Account Required)
3.1 Finding Angles
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Trigonometry Missing Angles
Online Platforms (with Videos & Exercises)
- Khan Academy
- Finding an angle using trigonometry: Videos & practice
Activities & Resources
- Math = Love (Sarah Carter)
- Don Steward
- Interactive Maths
- Finding Missing Angles: Video
- Go Teach Maths
- Ticktock Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Miss Konstantine Angles worksheet
- Maths 4 Everyone (Final Row)
- CIMT MEP (online self-checking)
Dr Frost Resources
Dr Frost Video
K486: Use Trigonometry to Find Unknown Angles in a Right-Angled Triangle.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
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
- 322a: Use inverse trigonometric functions to solve sin x = a using a calculator.
- 322b: Use trigonometry to determine unknown angles in a right-angled triangle.
- 322d: Understand and identify angles of elevation and depression (no trigonometry required).
- 322e: Use trigonometry to determine angles of elevation and depression.
- 322f: Determine an angle when a ratio of sides is given.
- 322g: Determine an angle in an isosceles triangle (no cosine rule/Law of Cosines).
- 322i: Determine an angle in a scalene triangle drawn on a unit grid, where a side length is aligned to the grid.
- 322j: Determine an angle in a scalene triangle drawn on a unit grid, where side lengths are not aligned to the grid.
- 322n: Use trigonometry to determine an angle in a bearings problem involving a right-angled triangle.
- 322p: Calculate the gradient of a line given its angle of inclination or depression.
- 322q: Calculate the angle of inclination given two points on a straight line.
- 322: Exam Practice: Trigonometry to determine angles in a right-angled triangle
Further Practice
- Practise Questions
Extension Materials
Other Videos & Multimedia
How all Calculators should look
Worksheet
3.2 Mixed Questions
Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
- Khan Academy
- Right-angled triangle word problems: Videos & practice
Activities & Resources
- Miss Konstantine Individual Questions PowerPoint
- Maths 4 Everyone
- Pixi Maths
- SOH CAH TOA ppt (Slides 6-10)
- Andy Lutwyche
- Math = Love (Sarah Carter)
- VirtualMaths
- Don Steward
- Transum
- Interactive Maths
- Right-Angled Trigonometry: QQI | 10QQI | Count Down | Relay | Bingo
- Right-Angled Trigonometry: Worksheets
- Goal Free Problems
- Mr Draper Maths Decision Making With Right-Angled Triangles
- Go Teach Maths
- Trigonometry & Bearings
- Mixed Pythagoras & Trigonometry Questions
- Problems With Pythagoras & Trigonometry
- Using Sine & Cosine Trigonometric Functions
- Using the Tangent Trigonometric Function
- Calculating Lengths or Angles Using Trigonometry
- Trigonometry Problems With Lengths & Angles
- Trigonometry & Isosceles Triangles
- Angles of Elevation & Depression
- Solving Real-Life Problems Using Trigonometry
- Jo Morgan
- Trigonometry and bearings✦ (by Jo Morgan)
- The Maths Habit
- Great Maths Teaching Ideas
- Mr Thompson Maths
- Matthew Kennedy
- steele1989
- Dan Walker
- Trigonometry collect a joke✦
- SOHCAHTOA slides✦ (original by Dan Walker; copy hosted on Jo Morgan’s Drive)
- Joash Knight
- Pondering Planning in Mathematics (Paul Rowlandson)
- Playing With Pythagoras and Trigonometry (blog post) · slides
Worksheets
- Dr Austin Maths
- Pythagoras Practice Strips (Word | PDF | Answers)
- Crack the Code (Word | PDF | Answers)
- Multi-Step Problems Practice Strips (Word | PDF | Answers)
- Worded Problems Match-Up (Word | PDF | Answers)
- Trigonometric Equations Match-Up (Word | PDF | Answers)
- Practice Grid (Word | PDF | Answers)
- Revision Practice Grid (Word | PDF | Answers)
- Angles of Elevation and Depression Practice Strips (Word | PDF | Answers)
- Multi-Step Practice Grid (Word | PDF✦ | Answers✦)
- Corbettmaths
- Trigonometry Practice Questions & Solutions
- Trigonometry Worksheet & Solutions
- Maths 4 Everyone
- SOHCAHTOA Mixed Questions Strengthen 1 · 2
- SOHCAHTOA Topic Review
- SOHCAHTOA GCSE Questions and Solutions
- Pixi Maths
- SOH CAH TOA RAG
- SOH CAH TOA Extension Task (Trig Stack)
- Mathshelper (Jon Stone)
- Naiker Maths
- SOHCAHTOA: Worksheet
- Access Maths
- MME
- 1st Class Maths
- @taylorda01
- Frank Tapson
- CIMT MEP
- Starting Points Maths
- Pret Homework (@Mathsblackcat)
- Angles of Elevation and Depression (@Mathsblackcat, ppt)
Dr Frost Resources
Dr Frost Video
K485: Use Pythagoras’ Theorem Then Trigonometry to Find a Missing Side.
K487: Use Pythagoras’ Theorem Then Trigonometry to Find a Missing Angle.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
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
- 321e: Use Pythagoras’ theorem then trigonometry to determine an unknown side.
- 321i: Use trigonometry to determine the perimeter or a length within an isosceles triangle.
- 321j: Use trigonometry to determine the perimeter or a length within a trapezium.
- 321k: Use trigonometry to determine the area of a right-angled triangle.
- 321l: Use trigonometry to determine the area of an isosceles triangle.
- 321m: Determine a length within one triangle inscribed inside another.
- 321n: Determine a length of an isosceles triangle with an inscribed circle.
- 321o: Determine the area of an isosceles triangle with an inscribed circle.
- 321p: Use trigonometry to determine the area of the kite created by two radii and two tangents of a circle.
- 321q: Determine the lengths of a right-angled triangle to calculate the perimeter of a compound shape.
- 321s: Use trigonometry to determine the area enclosed between two tangents and the arc of a circle.
- 322c: Use Pythagoras’ theorem then trigonometry to determine an unknown angle.
- 322h: Use trigonometry to determine a length followed by an angle.
- 322k: Use trigonometry to determine an angle in inscribed triangles.
- 322l: Determine an angle in a trapezium using Pythagoras’ theorem or three of the lengths.
- 322m: Determine an angle in a trapezium using its area and parallel sides.
- 322o: Use trigonometry to determine an arc length given tangents and radii of a circle.
- 321: Exam Practice: Trigonometry to determine side lengths in a right-angled triangle
- 322: Exam Practice: Trigonometry to determine angles in a right-angled triangle
Further Practice
- Practise Questions
Extension Materials
Worksheet
4.1 Using Trigonometry in 3 Dimensions
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths 3D Trigonometry
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- SOH CAH TOA ppt (Slides 11 Onwards)
- Andy Lutwyche
- Don Steward
- Transum
- Go Teach Maths
- BossMaths
- G20d Trigonometry in 3D (Interactive 3D applets)
- tiredoldcliche.bsky.social
- CP3 Maths (cparkinson3)
Worksheets
- Dr Austin Maths
- Corbettmaths
- 3D Trigonometry Practice Questions & Solutions
- 3D Trigonometry Worksheet & Solutions
- Maths 4 Everyone
- Pixi Maths
- Mathshelper (Jon Stone)
- Maths Genie
- 3d Pythagoras and Trigonometry: Booklet · Worksheet · Solutions · Lesson · Topic page
- MME
- 1st Class Maths
- MadAsMaths (T. Madas)
- 3D Geometric Mensuration Q1–7 (difficulty 2–4 of 5)
- Mr Morley Maths
- Trigonometry in 3D: Notes jotter/worksheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
K641: Find the Angle Between a Line and a Plane in a Cuboid.
K642: Find the Angle Between a Line and a Plane in a Pyramid.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
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
- 411a: Calculate the angle between a line and a plane in a cuboid.
- 411b: Calculate the angle between a sloped edge and the base of a pyramid.
- 411c: Calculate the angle between two opposite slant edges of a pyramid.
- 411d: Calculate a length in a pyramid. (not yet active)
- 411e: Determine the angle between a line and a plane in a triangular prism using its lengths.
- 411f: Determine the angle between a line and a plane in a triangular prism using another angle.
- 411g: Calculate a length in a triangular prism using given angles and lengths.
- 411h: Calculate an angle in a general prism using given angles and lengths.
- 411i: Calculate a length in a general prism using given angles and lengths.
- 411j: Calculate a length in a right-angled tetrahedron given angles and lengths.
- 411k: Determine the angle between the sloped plane and the base of a right-angled tetrahedron.
- 411l: Determine the angle between a sloped face and the base of a pyramid.
- 411: Exam Practice: Trigonometry in 3D shapes (right-angled only)
Further Practice
- Practise Questions
Extension Materials
Worksheet
Whole Topic Summary Resources (Including Past Paper Questions)
Download Basic Trigonometry PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Trigonometry (basic) as PowerPoint or PDF
Activities
- Ben Cooper Supertrig PowerPoint
- Miss Konstantine Intro to Trig Activities PowerPoint
- Andy Lutwyche
- NRICH (student problems)
- Don Steward
- The Chalkface
- Photo Trigonometry: PowerPoint
- Double Sunset: PDF
- Transum
- Access Maths
- Interwoven Maths
Worksheets
- Mathshelper (Jon Stone)
- MathedUp
- Trigonometry (SOHCAHTOA): Worksheet · Practice · Quiz · Question Gallery
- Maths Genie
- SOHCAHTOA (Trigonometry): Booklet · Worksheet · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Physics & Maths Tutor
External Whole Topic Past Paper Style Questions
- Transum
- Exam-style questions: Trigonometry
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.