Transum Maths Software

Trigonometry

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Trigonometry. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

Main Page

Trigonometry Starters:

Refreshing Revision: It is called Refreshing Revision because every time you refresh the page you get different revision questions.

Advanced Trigonometry Starters

 

Small images of these Starters | | |  Complete Index of Starters

Featured Activity

Three Ways

Three Ways

Can you get to the target number by multiplying together four different one digit numbers? Can you do it in three different ways? There are nine levels to this online challenge and a virtual Transum Trophy available for each level.

 

Curriculum for Trigonometry:

Years 7 to 9

Pupils should be taught to use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles more...

Years 10 and 11

Pupils should be taught to compare lengths, areas and volumes using ratio notation and/or scale factors; make links to similarity (including trigonometric ratios) more...

Pupils should be taught to recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y =  with x not equal to 0, {the exponential function y = kx for positive values of k, and the trigonometric functions (with arguments in degrees) y = sin x, y = cos x and y = tan x for angles of any size} more...

Pupils should be taught to know the exact values of the sine and cosine of 30, 45, 60 and 90 degrees; know the exact value of the tangent of 30, 45, and 60 degrees more...

Pupils should be taught to {know and apply the sine and cosine rules to find unknown lengths and angles} more...

Pupils should be taught to {know and apply Area =  ½ ab sin C to calculate the area, sides or angles of any triangle} more...

Feedback:

Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School:

"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

"Very good starters, help pupils settle very well in maths classroom."

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales:

"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access the whole month so I can use favourites with classes I see at different times of the week. Thanks."

Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait:

"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."

Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset:

"A set of real life savers!!
Keep it up and thank you!"

Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull:

"Dear Transum,

I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

Notes:

Trigonometry is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides. Pupils begin by learning the names on the sides of a right-angled triangle relative to the angles. They then learn the ratios of the lengths of these sides and the connection these ratios have with the size of the angles.

Having mastered right-angled triangle trigonometry pupils then progress to more advanced uses including the sine rule and cosine rules.

The use of a scientific or graphing calculator is essential for this topic and correct, efficient use of the calculator is an important skill to develop.

Here's a Trigonometry Wordsearch just for fun.

Trigonometry Teacher Resources:

3D Trigonometry Presentation: A slide presentation (a poem) introducing using trigonometry (including Pythagoras' Theorem) to find lengths and angles on three dimensional shapes.

Triangle Solver: Provide and three measurements for a triangle and this application will work out the remaining sides, angles and area.

Trigonometry Activities:

Common Trig Ratios: A self-marking exercise covering the common trigonometric ratios for certain angles.

Formulae to Remember: The traditional pairs or pelmanism game adapted to test recognition for formulae required to be memorised for GCSE exams.

Trigonometry: 20 trigonometry questions in an online, self marking exercise.

Trigonometry Advanced: A self-marking exercise on the sine rule, cosine rule and the sine formula for finding the area of a triangle.

Which Side?: Arrange the diagrams in groups depending on whether the arrow is pointing to the opposite, adjacent or hypotenuse.

Alternatively, for the more advanced student, there is an ever-growing collection of Exam-Style Questions with worked solutions on the topic of Trigonometry.

Trigonometry Investigations:

Search for Infinity: Manipulate the Lissajou curve to produce a perfectly symmetrical (vertically and horizontally) infinity symbol.

Trigonometry Videos:

Formulae for GCSE: These are the formulae candidates need to know for the GCSE(9-1) Maths exams.

Trigonometry and Pythagoras: A trigonometry and Pythagoras theorem revision song

Trigonometry in 3D: This video from Corbettmaths goes through a typical 3D trigonometry question - finding an angle in a cuboid.

Trigonometry External Links:

Links to other websites containing resources for Trigonometry are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

Search

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Other

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Recently Updated

Pancake Day

Pancake Day

Toss the pancakes until they are neatly stacked in order of size. Find how to do this using the smallest number of moves. So far this activity has been accessed 177 times and 6 people have earned a Transum Trophy for completing it.

 

Homepage

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