A set of questions in real-life scenarios, where pupils use SOHCAHTOA to find angles an distances.
Activities included:
Starter:
Some basic SOHCAHTOA questions to test whether pupils can use the rules.
Main:
A set of eight questions in context. Includes a mix of angle of elevation and angle of depression questions, in a range of contexts.
Printable worksheets and answers included.
Please review if you buy as any feedback is appreciated!
A complete lesson on using and applying Trigonometry to right angled triangles which is suitable for the new curriculum.
Pupils are given the chance to master the fluency of this topic aswell as work on reasoning and problem solving tasks.
All tasks are differentiated to 3 levels all with solutions and offer lots of consolidation as well as alot of challenge. Can be used with KS3/KS4.
Scaffolded approach for first encounter with the Sine and Cosine Rules. The basis is to reinforce information given (sides and angles) in a problem to decide which formula to use.
A quick review of the basic trigonometric functions sin, cos and tan is included at the start.
Clear worked examples are given for the Sine Rule for finding sides and then angles. Practice questions are included. Clear worked examples are given for the Cosine Rule for finding sides and then angles. Again, practice questions are included.
Questions that extend the understanding and application at depth are included.
A complete lesson on using sin, cos and tan to find an unknown side of a right-angled triangle. Designed to come after pupils have been introduced to the trig ratios, and used them to find angles in right-angled triangles. Please see my other resources for complete lessons on these topics.
Activities included:
Starter:
A quick reminder and some questions about using formulae triangles (e.g. the speed, distance, time triangle). This is to help pupils to transfer the same idea to the SOHCAHTOA formulae triangles.
Main:
A few examples and questions for pupils to try, on finding a side given one side and an angle. Initially, this is done without reference to SOHCAHTOA or formulae triangles, so that pupils need to think about whether to multiply or divide.
More examples, but this time using formulae triangles.
A worksheet with a progression in difficulty, building up to some challenging questions on finding perimeters of right-angled triangles, given one side and an angle.
A tough extension, where pupils try to find lengths for the sides of a triangle with a given angle, so that it is has a perimeter of 20cm.
Plenary:
A prompt to get pupils thinking about how they are going to remember the rules and methods for this topic.
Printable worksheets and answers included.
Please review if you buy as any feedback is appreciated!
Error on previous version now fixed. If you have bought this already and want the amended version, please message me and I will email the file directly.
This is designed for a year 9 class. The idea is to have a break down list of what to do with trigonometry questions and then practise each step as it comes. Worked examples/your turn to build confidence.
A resource working with basic trigonometry within 3D shapes, detaling the right triangles within
The lesson is structured using Rosenshine’s principles of instruction.
Worksheets and Answers are included.
A PowerPoint conversion from my SMART file is included too if you do not have access to the SMART NOTEBOOK
If you enjoy this lesson and the resources, if it saves you time, lightens your huge workload or engages your students, please leave me a REVIEW as your feedback is valuable to me as it helps me improve and create more resources that meet your needs.
A collection of seven questions that use the basic trigonometric principles, but in a worded problem context.
Students will need to draw out the problem, work step-by-step to solve these questions.
nb: One of the questions involves an Arc calculation.
This interactive PowerPoint is designed to be used over 2 to 3 lessons for teaching and contains worksheets/activities for learners.
This resource comes with two PowerPoints (Teacher and student). The teacher PowerPoint has interactive functions and has answers to all questions; also every slide has an invisible protective sheet preventing you from accidentally clicking to another slide making this PowerPoint ideal for teaching a lesson. The student PowerPoint does not have answers so it’s great for printing out slides and worksheets for learners.
Every question has its own answer button allowing you to select the answers you want to display. This provides immediate feedback and can be used to differentiate work.
Furthermore, all boxes with a brown background contain a function, click on them to activate the function.
Level of work: GCSE level 4-5
Duration: 2-3 lessons
Learning objectives: Solve simple equations containing trigonometry operations. Use the three trigonometric ratios to calculate angles and lengths of right angle triangles. Use trigonometry to solve worded problems and exam questions.
PowerPoint contains 15 slides:
slide 1: Content page with information and links to all slides in the PowerPoint
slide 2: Learning objectives
slide 3: Crossword activity to learn key words
slides 4-6: Three worked examples
slides 7-12: Worksheets with progressive questions and interactive answers.
slides 13: Questions for class/group discussion. (excellent for paired/group work)
slides 14-15: Exam style questions with interactive answers
Similar resources can be purchased from my shop in TES resources.
I have made nineteen different lessons of the nineteen different topics which are covered under Pearson’s Edexcel GCSE Mathematics Higher. These lessons include:
title
date
starter activities
warm up/ recall questions
learning goals
key words
contents
points to note
worked examples and guides
With these slides, anyone can walk into a lesson and teach what needs to be taught without having to worry about planning out content
Subtopics covered in this unit include:
accuracy
the sine function
the cosine function
the tangent function
the sine rule
the cosine rule
table and graphs of functions
3D trigonometry and pythagoras
translating trig graphs
A memory-jogger for students who have recently covered basic trigonometry. How to determine whether to use Pythagoras, and how to use SOHCAHTOA. The sine and cosine rule are not included at this stage.
A Powerpoint to explain Trigonometry - Non right angled triangles. This powerpoint has 12 slides (Including one title and one end slide). Designed for KS4 / GCSE.
Topics covered are:
Labelling the Triangle
The Sine Rule
The Cosine Rule
A set of 20 worksheets containing match-up quizzes about the most common trigonometric functions of the “notable angles”. For example: Cos(90°), Tan(60°)…Sin(π)…
Each worksheet has 10 pairs to match, there is also a subset of “tricky” quizzes where one item is an “intruder” and must be identified.
Why ? Because trigonometry is a building block for physics and geometry. Also, advanced math courses like calculus require trigonometry proficiency.
Summary:
File format: Printable PDFs
Worksheets: 20
Topic : trigonometry (the notable angles with radians and degrees)
Difficulty: easy
Don’t hesitate to contact me for further details, thanks.
A comprehensive powerpoint that covers the topic of Further Trigonometry: Trigonometric Graphs. The Powerpoint models solutions to key questions in the topic, followed by questions for the students to do. The questions all have full working out and answers so students can identify where they have made mistakes.
The powerpoint has skill questions so students can understand the basics whilst also working towards mastering the topic.
Suitable for higher GCSE.
The download includes the full powerpoint and you are free to adapt it to suit your needs.
Topics included:
Trigonometric Graphs
Skill Questions:
Draw Trigonometric Graph
Find Coordinate On Trigonometric Graph
Use Graph to Find Solutions to y = sin x
Use Graph to Find Solutions to y = cos x
Use Graph to Find Solutions to y = tan x
Lesson includes
Title, date, objective, success criteria, key words
Starter
Discussion task
Definitions and examples
AfL quick fire questions
AfL whiteboard
Treasure hunt activity
Accessible for lower ability and challenge high ability
Plenary
FUSE
Please leave a review
For more resources: https://www.tes.com/teaching-resources/shop/osmith25
A comprehensive powerpoint that covers the topic of Further Trigonometry: Trigonometric Transformations. The Powerpoint models solutions to key questions in the topic, followed by questions for the students to do. The questions all have full working out and answers so students can identify where they have made mistakes.
The powerpoint has skill and mastery questions so students can understand the basics whilst also mastering the topic.
Suitable for higher GCSE.
The download includes the full powerpoint and you are free to adapt it to suit your needs.
Topics included:
Trigonometric Transformations
Skill Questions:
Transform Trigonometric Graph y = f(x) + a
Transform Trigonometric Graph y = af(x)
Transform Trigonometric Graph y = -f(x)
Transform Trigonometric Graph y = f(x + a)
Transform Trigonometric Graph y = f(ax)
Transform Trigonometric Graph y = f(-x)
Mastery Questions:
Transform Trigonometric Graph y = -af(x)
Transform Trigonometric Graph y = af(ax)
Description:
A complete bundle of high-quality GCSE Maths worksheets covering all key Pythagoras and trigonometry skills for the Higher Tier, ideal for revision, consolidation, or independent study.
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What’s included:
Each worksheet contains:
• 9 graded questions arranged by difficulty
• A separate hints page for support
• Full worked solutions
• Clean layout for class, homework, or tutoring use
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Topics covered:
• Pythagoras in 2D triangles
• 3D Pythagoras problems
• SOHCAHTOA basics
• Trig in 3D
• Exact values and non-calculator
• Sine/cosine rule
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Why it’s useful:
• Supports mastery through progression
• Helps students build confidence with complex fraction problems
• Easily printable or usable on-screen
• Designed to meet AQA and other major GCSE specs
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• Perfect for teachers, tutors, and students preparing for exams.
• Suitable for revision, intervention, or stretch tasks.
3 lessons, taking students through a step by step process of what is a trig ratio, to how to what buttons to use on a calculator, to problem solving.
Includes; keywords, why we use trig, correct labeling of sides, using SOH/CAH/TOA and related formulae.
Plus worked examples, practice questions, exam style questions, and a separate lesson on Angles of Elevation and Depression.
Objectives:
To be able to use a calculator to find trigonometric ratios. (grade 5)
To be able to recognise which trigonometric ratios to use. (grade 5)
To be able to use trigonometric ratios to solve problems. (grade 5/6)
This resource demonstrates, step-by-step, how to use ‘SOH CAH TOA’, with a question covering each (three slides in total).
During another year of tutoring, I have constantly been reminded of how so many students struggle with the basics. These basics obviously provide the foundation to move onto more complex topics and knowledge of them is absolutely essential in building confidence and belief in a student’s ability in the subject. Educational establishments must begin to realise this and ensure that the foundations are absolutely secure and solidly embedded before moving on.