Trigonometry with James Bond

Trigonometry with James Bond

Could be used for bright Y9s or KS4. Two of the questions are Pythagoras, five are finding a missing side or angle using sin, cos & tan. Suitable for GCSE Foundation or Higher.
MadeleineK
Where was the free kick taken from? - Photos, football and algebraic fractions

Where was the free kick taken from? - Photos, football and algebraic fractions

Inspired by a Numberphile video where they use still images to calculate the position of a footballer taking a free kick (https://www.youtube.com/watch?v=ffvojZONF_A) Resource is aimed at GCSE groups (higher) and will need at least an hour. Students are given four photographs and instructions that allow them to calculate where each player was standing when they took the free kick by measuring distances on the photographs and computing cross-ratios. They then have to solve a simple algebraic fraction equation to work out the unknown distance. Included: presentation to help explain the tasks, worksheet with photographs and an additional sheet that scaffolds the process if needed, set of exemplar answers. Students can draw any straight line they like from the ball to the goal so they will have different distances in their cross ratio but should end up with the same final answers. Potentially leads to discussion opportunities about how the cross-ratio changes with the players position and even an introduction to limits as you consider what happens if the player is very close to or very far away from the penalty area. *Presentation edited to include extension tasks incorporating using trig to find the kick angle and problem solving to work out the location of a different player and flight path of a pass followed by a shot **Answers updated to include challenge 1 and 2
ellipinnock
Trigonometry test x2

Trigonometry test x2

This is a sample from a collection of short tests on trigonometry in right-angled triangles. All the tests are quite short (3/4 questions, so 5-10mins max). I created them so that I was able to test my classes more regularly on topics at different points through the year - each test is similar enough so that classes hopefully improve at the “standard” questions but there is also some variety in the later questions in each test and a progression in difficulty as you go through the tests. There are 10 tests designed to be done with a calculator, 10 tests to be done without a calculator. The questions include: 1.Finding an angle or a side of a right-angled triangle 2.Stating the correct value of e.g. sin A for a given triangle (requires Pythagoras) 3.Knowing and using exact values of trig functions 4.Using trigonometry in isosceles triangles 5.Using trigonometry in 3D shapes 6.Using trigonometry where side lengths are given as surds 7.Proving identities/results with trig functions 8.Questions with bearings, angle of elevation/depression All tests come with fully-worked solutions which makes them easy to mark. This means that the tests could also be used as a revision resource for students. The full set of tests are available here: https://www.tes.com/teaching-resource/trigonometry-tests-x20-11931966
langy74
The Area Of any Triangle with answers

The Area Of any Triangle with answers

The Area of any triangle is a great worksheet for practicing Sine and Cosine rule and the formula Area = 0.5abSinc There are two different types of questions. Practice in using the formula - later questions require the use of the Sine and/or the Cosine rule to find the information needed before applying the formula. Secondly - finding the area and then using the area to find the shortest distance from one vertex to the opposite side. Answers are included.
happymathematician
The Sine and Cosine Rule - 6 worksheets with answers

The Sine and Cosine Rule - 6 worksheets with answers

5 Comprehensive worksheets covering all you will need on the Sine and Cosine rules for GCSE. Sine Rule 1 - use the Sine Rule to find the missing side - 10 Questions Sine Rule 2 - use the Sine rule to find the missing angles (no ambiguous case) - 10 Questions Cosine Rule 1 - Find the missing side - 10 Questions Cosine Rule 2 - Find the missing angle - 10 Questions Sine and Cosine Rules - miscellaneous questions where students have to decide which rule to use - 12 questions Level 9 Cosine Rule Questions - Four more demanding questions for the more able student. Answers
happymathematician
Area of a triangle trigonometry version

Area of a triangle trigonometry version

A complete lesson on the 1/2 absinC area rule. Doesn’t include ‘reverse’ problems (I’ve made a separate resource on this). Activities included: Starter: A set of questions on area of triangles using bh/2. Main: An area question for pupils to attempt, given two sides and the angle between them. If they spot that they can use SOH to get the perpendicular height, they have effectively ‘discovered’ the 1/2absinC rule. If they don’t spot it, then the rule can be easily explained at this point. A set of questions designed to be done as a class using mini whiteboards, progressing from identifying the correct information needed to calculate area, to standard questions, to trickier questions (see cover slide for an example). A two-page worksheet (I’d shrink and print as one page) with a similar progression in difficulty, for pupils to consolidate. Includes a suggested extension task in the comments box of the powerpoint. Plenary: A closer look at question one from the worksheet, which links to the graph of sine.
danwalker
Flashcards for GCSE/IGCSE Mathematics  (Formula)

Flashcards for GCSE/IGCSE Mathematics (Formula)

Memorizing formulae has never been a fun thing to do. That is exactly why these flashcards have been designed. This folder consists of three sets of flashcards, with formulae that GCSE/IGCSE students are expected to learn (Quadratic Formula, Pythagoras’ Theorem, Sine Rule, Cosine Rule, and Area of a triangle). This activity can either be done in pairs or small groups and is apt for revision. Simply spare 10 minutes of your lesson for this activity, and your students would have memorized these nauseating formulae before they even realize it!!! GCSE formula sheeet/ IGCSE formula sheet/ Cambridge 4024/ GCSE 9-1 mathematics
magicatmaths
Pythagoras and Trigonometry and how to spot the difference!

Pythagoras and Trigonometry and how to spot the difference!

I created this resources as my foundation group were struggling on knowing when to use either pythagoras or trigonometry. These were both skills they had learnt and could do but couldn’t quite understand when to use which one. This resource helped them understand which method for which scenario. please review :)
steffi2018
Triangle area activity

Triangle area activity

A challenging activity on the theme of triangle area, suitable for year 11 revision. The initial questions require a knowledge of basic triangle area, Pythagoras’ theorem, SOHCAHTOA, the sine rule and 1/2absinC so a good, challenging revision task. The questions have been designed with a ‘minimally diferent’ element, to draw pupils attention to how subtle changes can have significant implications for selecting methods. There are some follow-up questions, that could be used to shift the focus of the activity. I’d love to hear anyone’s suggestions of further questions.
danwalker
Cosine rule to find angles

Cosine rule to find angles

A complete lesson on using the cosine rule to find the size of angles in a triangle. Assumes pupils have already been using the cosine rule to find missing sides in a triangle. See my other resources for a lesson on that topic. Activities included: Starter: Some recap questions using the cosine rule. The last one is to find an angle, the intention being that pupils will substitute what information they have, then try to solve. Main: Following on from the starter, a slide showing the cosine rule rearranged, step-by-step, to make A the subject. The task is for pupils to explain the steps. This slide could be skipped or done later to avoid overloading pupils, although I think this task is a good opportunity for pupils to practice changing the subject of a formula. Slides and then example problem pairs for pupils to try the method for finding angles given all three sides. A prompt for pupils to make a conjecture about the angles in a triangle, given its sides (see cover image). Pupils then test their conjectures using the cosine rule and could follow up by creating triangles of their own, to test their conjectures again. They could also make SSS constructions to compare their results. A substantial extension task in the style of the open middle website. Plenary: A relatively straight-forward final question, to check for understanding. Answers included and no printing required. Please review if you buy as I love feedback!
danwalker
Cosine rule to find sides

Cosine rule to find sides

A complete lesson on using the cosine rule to find a missing side of a triangle. Activities included: Starter: A prompt for pupils to do an SAS triangle construction, in order to measure the third side. This leads to you revealing the ‘exact’ answer and hopefully pupils wanting to know how you did it… Main: Slides and diagnostic questions to make sure pupils can use the relevant labelling system for triangles, when using the cosine rule. Slides to introduce the cosine rule. I haven’t included a derivation at this stage, as it’s pretty tough. I’ve included this later, and it could be used with the right class to extend them. Example problem pairs for pupils to try, followed by a two-part worksheet for pupils to practice. The first part has straight forward questions, the second has more varied and challenging questions. I’ve thrown in a bonus challenge question that leads to a quadratic equation. Plenary: A prompt for pupils to consider how the cosine rule connects to Pythagoras’ theorem. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!
danwalker
Sine rule problem problem solving

Sine rule problem problem solving

A complete lesson of more challenging problems involving the sine rule. Designed to come after pupils have spent time on basic questions. Activities included: Starter: A set of six questions, each giving different combinations of angles and sides. Pupils have to decide which questions can be done with the sine rule. In fact they all can, the point being that questions aren’t always presented in the basic ‘opposite pairs’ format. Pupils can then answer these questions, to check they can correctly apply the sine rule. Main: A set of eight more challenging questions that pupils could work on in pairs. Each one is unique, with no examples offered, and therefore I’d class this as a problem solving lesson - pupils may need to adopt a general approach of working out what they can at first, and seeing where this takes them. Questions also require knowledge from other topics including angle rules, shape properties, bearings, and the sine graph. I’ve provided full worked answers FYI, but I would get pupils discussing answers and presenting to the class. Plenary: A prompt for pupils to reflect on possible rounding errors. Most of the questions have several steps, so it is worth getting pupils to think about how to avoid rounding errors. I’ve left each question as a full slide, but I’d print them 4-on-1 and 2-sided, so that you’d only need to print one worksheet per pair. Please review if you buy as any feedback is appreciated!
danwalker
Sine rule ambiguous case

Sine rule ambiguous case

A complete lesson on the scenario of using the sine rule to find an obtuse angle in a triangle. Given the connection this has with triangle congruence and the graph of sine, these ideas are also explored in the lesson. Designed to come after pupils have spent time doing basic sine rule questions and have also encountered the graph of sine beyond 90 degrees. Activities included: Starter: A goal-free question to get pupils thinking, that should help recap the sine rule and set the scene for the rest of the lesson. Main: A prompt for pupils to construct a triangle given SSA, then a closer look at both possible answers. Depending on the class, this could be a good chance to talk about SSA being an insufficient condition for congruence. A related question on finding an unknown angle using the sine rule. Pupils know there are two answers (having seen the construction), but can they work out both answers? This leads into a closer look at the symmetry property of the sine graph, and some quick questions on this theme for pupils to try. Then back to the previous question, to find the second answer. This is followed by four similar questions for pupils to practice (finding an obtuse angle using the sine rule) Two extension questions. Plenary: A slide to summarise the lesson as simply as possible. Answers and printable worksheets included. Please review if you buy as any feedback is appreciated!
danwalker
The sine rule

The sine rule

A complete lesson on the sine rule, looking at standard questions involving two pairs of angles and their opposite angles in a triangle. See my other resources for lessons on the ambiguous case and on more challenging questions involving the sine rule. I have also made an ‘introduction to the sine rule’ lesson, designed to precede this one, but this lesson also works as a stand-alone. Activities included: Starter: A number puzzle that leads into rearrangements of the equation ab=cd (relevant to rearranging the sine rule). Main: A very quick derivation of the sine rule by splitting triangle into two right-angled triangles. A slide showing some ways of rearranging the rule. The intention is that pupils describe how each rearrangement has been obtained from the initial form of the rule. A good way of consolidating changing the subject. Example problem pairs for pupils to try, on finding sides and angles, and a set of six similar questions to consolidate. A suggested follow-up task for pupils to produce a poster with the key ideas - the derivation of the rule, rearrangements of it and some examples that pupils could create themselves. Plenary: A slide showing the full rule a/sinA=b/sinB=c/sinC (up till then I have only shown a/sinA=b/sinB), to stimulate some discussion and provide a possible extension task of pupils proving the full version. Answers included and no printing required.
danwalker
Introduction to the sine rule

Introduction to the sine rule

A complete lesson for first introducing the sine rule, although it includes some related questions on constructions. Focuses more on a derivation of the rule than exam-style questions (see my other resources for lessons like that). Assumes pupils have already learnt SOHCAHTOA. Activities included: Starter: Four recap questions involving the sine ratio and right-angled triangles. Main: Slides and quick questions to familiarise pupils with the labelling system used for the sine rule. A prompt (see cover slide) to derive the sine rule using prior knowledge, followed by a series of related questions. These move from pupils simply substituting letters and numbers into the sine rule to using the rule to find missing sides and angles. I haven’t followed this up with a worksheet of similar questions (this will come in a future lesson), as the intention at this stage is mostly on getting pupils substituting the correct information. A prompt for pupils to attempt an SSA construction using ruler and protractor. The construction is impossible and nicely connects to the sine rule and the graph of sine. This is followed up by a challenging task where pupils investigate making changes to the information given for the construction, so that it is possible to construct the triangle. Plenary: A final prompt for pupils to think about the sine rule dynamically (considering what happens as one point of a triangle is moved) Answers included throughout, no printing needed. Please review if you buy as any feedback is appreciated!
danwalker
Trigonometry: Law of Sines and Cosines - Geometry Escape Room - Math

Trigonometry: Law of Sines and Cosines - Geometry Escape Room - Math

This breakout escape room is a fun way for students to test their skills with the law of sines and cosines. Contents: ♦ Teacher Instructions and FAQ ♦ 3 Levels to decode: Multiple Choice, Message Decoder, and Maze ♦ Student Recording Sheet and Teacher Answer Key ♦ Link to an optional, but recommended, digital breakout room
ScienceSpot
Geometry: Basic Trigonometry (TRIG) Exam Questions

Geometry: Basic Trigonometry (TRIG) Exam Questions

These are exam questions on basic trigonometry (trig) testing pupils understanding of SOH CAH TOA. I predominantly use these for either homework or revision. Do view my excellent lesson on trig. https://www.tes.com/teaching-resource/geometry-trigonometry-trig-8-lesson-bundle-11457390 NOTE: Feel free to browse my shop for more excellent free and premium resources, and as always please rate and feedback, thank you.
ajf43
Trigonometry explanations (angle and side)

Trigonometry explanations (angle and side)

These explanation sheets explain step by step how to use sohcahtoa and can be stuck into pupils books as a reminder of the process of trig or handed out to pupils needing extra support in lessons involving trig.
beckywatsonn
GCSE Calculator Bundle

GCSE Calculator Bundle

GCSE Calculator Bundle All answers are included. If bought independently, these 3 resources would cost £9.50, but I am offering them in this bundle for £7.50, a saving of 21%. To view items individually, please go to Maths Shop
Elsie99
GCSE Trigonometry Formulas Memory Exercise

GCSE Trigonometry Formulas Memory Exercise

Revision tool for Trigonometry Formulas aimed at Y11 revising for their exams. It includes the sine rule, cosine rule and the sine rule for area of triangles. The initial slide is a poster for students to memorise and copy, they should then use this to complete the questions on slide two. The answers are on slide three.
jennym79
Trigonometric Ratios Game: Geometry Escape Room - Math

Trigonometric Ratios Game: Geometry Escape Room - Math

This breakout escape room is a fun way for students to test their skills with trigonometric ratios. Contents: ♦ Teacher Instructions and FAQ ♦ 3 Levels to decode: Multiple Choice, Message Decoder, and Maze ♦ Student Recording Sheet and Teacher Answer Key ♦ Link to an optional, but recommended, digital breakout room
ScienceSpot
Geometry: Circles - Area, Circumference, Arcs & Sectors Exam Questions (with Answers)

Geometry: Circles - Area, Circumference, Arcs & Sectors Exam Questions (with Answers)

These are exam questions on circle, with the main focus being the higher tier. I predominantly use these for either homework or revision. Do view my excellent lesson on circles. https://www.tes.com/teaching-resource/geometry-circles-bundle-area-circumference-arcs-sectors-segments-ideal-for-ks3-4-11503717 NOTE: Feel free to browse my shop for more excellent free and premium resources, and as always please rate and feedback, thank you.
ajf43
6 Worksheets on Trigonometry in Right Angled Triangles - over 50 questions

6 Worksheets on Trigonometry in Right Angled Triangles - over 50 questions

6 Worksheets covering all aspects of Trigonometry in Right angled triangles (with answers) Trigonometry1 is 10 Questions on finding a side with the unknown on the top of the fraction. Trigonometry2 is 10 Questions on finding a side with the unknown on the bottom of the fraction. Trigonometry3 is 10 Questions on finding angles. Trigonometry4 is 12 Questions which are a mixture of questions from the first 3 worksheets. Trigonometry5 is 5 Questions involving two triangles together where info is transferred from one to the other. Trigonometry6 is 10 Problems covering the applications of Trigonometry. Trigonometryans is obviously the answer sheet to each of the above worksheets.
happymathematician
Trigonometric Ratios on the Unit Circle – Fluency Check / Quiz

Trigonometric Ratios on the Unit Circle – Fluency Check / Quiz

Trigonometric Ratios on the Unit Circle – Fluency Check / Quiz There are 20 worksheets included in this product. Worksheets 1 – 5 contain questions in Quadrant 1 in degrees. Worksheets 6 – 10 contain questions in Quadrant 1 in radians. Worksheets 11 – 15 contain questions in Quadrants II – IV in degrees. Worksheets 16 – 20 contain questions in Quadrants II – IV in radians. There are 18 questions in every worksheet. All answers are included.
NewMathWorld
Class Cluedo Maths

Class Cluedo Maths

This converts the classic game Cluedo into three maths lessons. The aim for the children is to find out the location, weapon and the murderer by solving clues the murderer has left. I’ve always taught it as the children are in teams of 3 but it could be bigger or smaller teams. The font on the powerpoint is Baskerville Old Face which isn’t supported on the TES preview. The powerpoint is designed for a Year 6 class. However, it can be adapted to any age range, including secondary school, as everything within it is editable. The clues are meant to be multiple step maths questions and have been left blank for your use. It includes: The Cluedo Powerpoint The clues template on word The clues extention template on word A set of Cluedo cards on publisher A nice touch may be to get some deerstalker hats so the children can answer as the detective.
harris_jane123
10 GCSE Maths  CALCULATOR Foundation Homework Revision (9-1) Part 1 -Includes all ANSWERS 2018

10 GCSE Maths CALCULATOR Foundation Homework Revision (9-1) Part 1 -Includes all ANSWERS 2018

Here I have created revision worksheets for my current Foundation Year 11s. I give these out as a weekly homework, and my students have come on leaps and bounds. Them covering these small topics on a weekly basis, allows me to cover the more in depth topics in class. Enjoy. Topics covered: Circles Using a caluclator Compound interest / depreciation Pythagoras Exchange rates Speed distance time Mean from a table Density Trigonometry Standard form Reverse mean Reciprocal Interior and exterior angles of polygons.
dandavies8
Regular Polygon Area Problems

Regular Polygon Area Problems

This is a problem solving activity/worksheet that tests multiple levels of understanding related to the topic of area of regular polygons. They are high-level problems to test the most able, although a hint/formula sheet is included to help “differentiate down”. Also included is a differentiated/scaffolded sheet to help break the questions down, too for lower ability. Overall use of surds, Pythagoras Theorem and area formula for polygons are tested. Answers are provided in both surd format and to 2 decimals places.
SolutionsEducation
Basic Trig - Knowledge Organiser

Basic Trig - Knowledge Organiser

One A4 page Knowledge Organiser including Need-to-Know facts, Keywords, Exam Question, MathsWatch clip numbers, Worksheet links and Curriculum Flowchart. Aimed at KS4 students. Especially for schools who are using a knowledge based curriculum. Updated July 2018
CapeTownTeacher
Top Gun Trigonometry

Top Gun Trigonometry

Check answer to question 2 A lesson on calculating the missing side of a triangle using trigonometry. This lesson was for a Year 10 group who had seen trigonometry before in Year 9. The lesson begins with recapping SOHCAHTOA and asking what we can remember about the topic. We move on to play the Top Gun trailer and discuss how we can use trigonometry to calculate the vertical and horizontal distances travelled by a plane at take off. The worksheet is all Top Gun themed with challenge questions about Maverick and Goose. Plenary is a video from Les Chevaliers du Ciel, before discussing what happened (sonic boom) and calculating (assuming a triangular form) the horizontal distance behind the plane of the impact of the sonic boom. This was a tough crowd to please but they seemed to enjoy it!
charli135
Solving Trig Equations

Solving Trig Equations

A set of five lessons covering trig equations: Solve trig equations using graphs and CAST Solve trig equations involving negatives Solve trig equations involving rearranging Problem solving involving trig equations part 1 Problem solving involving trig equations part 2 The lessons can be used for whole class work, revision, help for parents or opportunities for pupils to catch up with missed work.
dmartin55
Solving Trig Equations

Solving Trig Equations

One of a set of five lessons covering trig equations. The file can be used on its own to introduce and provide practice examples or used to provide revision, help for parents or opportunities for pupils to catch up with missed work.
dmartin55