CHAPTER-16 Basic Trigonometry

24 questions finding upper and lower bounds using trigonometry to find lengths and angles in right-angled triangle. Answers included.

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.

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)

Two or three lessons worth of work on trigonometry on right angled triangles.

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.

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.

Basic Pythagoras and Trigonometry Homework

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!

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 powerpoint on an introduction to trigonometry that’s designed to follow on from Pythagoras’ Theorem. Created using the principles of “Mastery Maths” this resource is ideal for KS3 & KS4 students and each slide come with notes on the theory of why we have included each activity. Ideal for non-specialist teachers & experienced teachers alike it has worksheets attached and is already differentiated.

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.

Right-Angle Trigonometry Test – Year 10 Cambridge Curriculum This comprehensive 40-mark test is designed for Year 10 students following the Cambridge Curriculum. It covers key concepts in right-angled trigonometry, focusing on sine, cosine, and tangent ratios, as well as practical applications such as calculating distances, angles of elevation, and angles of depression. The test is divided into three sections: Basic Applications (10 marks): Evaluates understanding of fundamental trigonometric ratios. Problem Solving (20 marks): Involves real-world scenarios, encouraging students to apply their knowledge. Mixed Concepts (10 marks): Challenges students with more complex, multi-step problems involving trigonometric calculations. An accompanying mark scheme, provided in table format, ensures quick and accurate grading. With clear instructions and print-friendly formatting, this resource is ideal for class assessments, homework, or revision practice. Downloadable in Word format, it is easily editable to suit different teaching needs. This test is perfect for assessing student progress and reinforcing essential trigonometry skills.

This resource is a WHOLE UNIT PLAN covering the following topics: Pythagorean Theorem Special Right Triangles Trigonometry: Trigonometric Ratios Trigonometry: Solving Trigonometric Equations Trigonometry: Finding missing sides and angles of right triangles Trigonometry: Applications of Trigonometry - Angles of Elevation and Depression This Unit contains Vocabulary Activites, Skill and Drill Worksheets, Problem Solving, Critical Thinking and Error Analysis Activites, all with their respective Answer Keys. There are also Student Study Guides and a PowerPoint Revision Template that can be edited for any topic, chapter, unit or even subject. The activities are based off of the IGCSE 0580 standard which states: E6.2 – Apply Pythagoras’ theorem and the sine, cosine and tangent ratios for acute angles to the calculation of a side or of an angle of a right-angled triangle.

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL whiteboard AfL misconception questions Differentiated questions and solutions GeoGebra unit circle investigation Accessible for lower ability and challenge high ability Plenary FUSE Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25

This PPT is ideal for introducing trigonometry to higher tier GCSE Mathematics students. It covers: Basic trigonometry using SOHCAHTOA 3D Trigonometry Advanced Trigonometry A poster which can be used by students to understand when to use different trigonometric methods