CHAPTER-16 Basic Trigonometry

Introduction to trigonometry

An introduction to trigonometric functions: sine, cosine, and tangent.

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.

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 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.

Worksheet with some basic GCSE revision questions, Pythagoras and trigonometry problems, including worded questions. could be set as a homework or act as a revision worksheet.

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

This is the first lesson introducing the topic of Trigonometry. This lesson is about building an understanding of what trig is by doing various rich tasks and activities and starting to use SOHCAHTOA. This lesson is ready to go, with no prep required. It is also great for home learing. 23 slide presentation + extra resources. The lesson comes with: + a Starter + Learning Objectives (differentiated) + keywords + superb teaching slides (offering a very detailed explanation) + lots of examples to follow + Embedded Activities + Questions (with answers) + Handout (to support student notes) + Worksheet (with answers) + Plenary. ALL Geometry Lessons as one MEGA BIG BUNDLE are available from the links below: Geometry: All Lessons LASTLY: This lesson is flat packed for copyright purposes Please provide a RATING with written feedback Please email outstandingresourceshelp@gmail.com if there are any issues.

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

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.

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.

Trigonometry Revision SINE COSINE and TANGENT Ratio Right Angle Triangle Revision. In detail step by step answers. Very Visual and engaging. Great for whole lesson or quick fire revision. Working out missing length / side/ angle for a right angle triangle. Excellent Demonstration Videos', there is one for 3D Trigonometry as well. Comprehensive explanations on SIN / COS/ TAN Ratios being used for side / length and Angle. Comes with solutions / answers. Has 'spot the wrong answer' questions to draw out deeper understanding. Trigonometry SOH CAH TOA.

This is the original resource for the following topics Introduction to Trigonometry Solving basic equations Rules for Trigonometry Trigonometric graphs using radians Solving Trigonometric equations involving radians This resource includes: Full PowerPoint in powerpoint format with all the slides Questions and answers Animated parts of the answer for Q&A and demonstrations Colours to support explanations. For your use: You can duplicate slides any type in new questions To support your teaching and save time planning As a basis for your observations lessons To share with students to help them work outside the classroom I hope this benefits you as it has done for me. Kind regards.

Learning Objectives:- Know and use trigonometric ratios for right-angled triangle to:- Find the length of a missing side Find the size of a missing angle

PowerPoint lessons for the following topic Introduction Solving basic equations Sine and cosine rules Identities Graphs with radians Solving equations with radians They include: Questions and answers Animated parts of the answer for Q&A and demonstrations Colours to support explanations. For your use: You can duplicate slides any type in new questions To support your teaching and save time planning As a basis for your observations lessons To share with students to help them work outside the classroom I hope this benefits you as it has done for me. Kind regards.

This PPT is for GCSE Maths students. It breaks down the process of finding angles and lengths of sides. This PPT is made using the Edexcel syllabus.