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.
This resource includes:
A PowerPoint that can be used with a class,
A scaffolded student version of the PowerPoint with gaps for the students to fill in,
A differentiated worksheet with answers included.
This resource is suitable for Year 9 and 10 students and is linked to the Australian curriculum. This resource focuses on understanding what angles of elevation and depression are, drawing diagrams from written descriptions and answering worded questions involving angles of elevation and depression.
This resource is for KS4 students. The resource is a series of three lessons looking at the application of trigonometry to right-angled triangles. Each lesson has a lesson presentation and accompanying worksheet. The lesson presentations include both a starter and worked solutions to the questions on the worksheet. Start with ‘Similar-Shapes-2-Trig-I’ and continue with ‘II’ and ‘III’.
The trigonometric functions are represented as the ratios of lengths of sides in similar right-angled triangles. Students then learn how to find missing lengths and missing angles.
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 complete lesson on finding an angle in a right-angled triangle using trig ratios. Designed to come after pupils have been introduced to the ratios sin, cos and tan, and have investigated how the ratios vary. Please see my other resources for complete lessons on these topics.
Activities included:
Starter:
Provided with the graph of y=sinx, pupils estimate sinx for different values of x and vice-versa.
Main:
Slides to introduce use of scientific calculators to find accurate values for angles or ratios.
Examples of the basic method of finding an angle given two sides. Includes graphs to reinforce what is happening.
Quick questions for pupils to try and provided feedback.
A worksheet of questions with a progression in difficulty. Starts with standard questions, then moves on to more challenging ones (eg finding the smallest angle in a non-right-angled, isosceles triangle).
Plenary:
A final question to check pupils’ understanding, but also with a combinations/logic element.
Printable worksheets and answers included.
Please review if you buy as any feedback is appreciated!
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.
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.
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)
The RAG sheets are designed to be marked by students as red, amber or green.
The worksheets in the ‘RAG Sheets’ series generally contain 10 questions, with animated answers for amber and green.
The aim is to encourage students to show workings, and to stop the annoying trait of students marking answers as completely incorrect, where most of the question has been answered correctly.
The sheets have been designed to look as close to examination questions as possible.
The have also generally been designed to start with the easiest questions and get gradually harder.
They are a new design I am trying out and sheets will be added to as I make them throughout the year.
Bundles will follow once I have built up enough sheets.
Enjoy!
A complete lesson on solving equations of the form sinx = a, asinx = b and asinx+b=0 (or with cos or tan) in the range 0 to 360 degrees. Designed to come after pupils have spent time looking at the functions of sine, cosine and tangent, so that they are familiar with the symmetry properties of these functions. See my other resources for lessons on these precursors.
I made this to use with my further maths gcse group, but could be used with A-level classes too.
Activities included:
Starter:
A set of four questions, effectively equations but presented as visual graph problems, to remind pupils of the symmetry properties of sine and cosine and the fact that tangent repeats every 180 degrees.
Main:
An example to transition from a visual problem to a formal, worded problem, and a reminder of the symmetry properties of sine and cosine.
Five examples of solving trigonometric equations of increasing difficulty, including graphical representations to help pupils understand.
A set of similar questions for pupils to do independently. I’ve made this into a worksheet where the graphs are included, to scaffold the work. Includes an extension task where pupils create equations with a required number of solutions.
Plenary:
A “spot the mistake” that addresses a few common misconceptions.
Printable worksheets and answers provided.
Please review f you buy as any feedback is appreciated!
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.
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.
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.
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.
“In the small town of Raven’s Hollow, a mysterious mansion stands abandoned on the outskirts. The locals speak of a dark history surrounding the mansion, with tales of a gruesome murder that took place within its walls. Curiosity draws a group of friends to enter the mansion, where they find themselves trapped in a series of interconnected rooms, each holding clues to unravel the secrets of the past.”
The story runs alongside tasks to test students’ knowledge and understanding of trigonometry.
The escape room is interactive. Students can move objects and click on them to reveal clues. No handouts are required but scrap paper is useful as some clues need to be written down and rearranged.
There are gentle hints at the top of each page but students should click around the whole room to move or reveal clues.
It is important clues are solved as they are required to pass to the next page.
The escape room is a great end-of-topic task to check student´s understanding in a novel way.
You will receive a PDF document on purchase containing the website, password and answers.
No email addresses are needed to play.
No google account needed.
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