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

Suggested

Which Side?

Which Side?

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

The short web address is:

Transum.org/go/?to=whichside

 

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 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 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 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 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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 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."

Comment recorded on the 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex:

"This website was brilliant. My class and I really enjoy doing the activites."

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

The activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.

 

 

 

 

Other

Is there anything you would have a regular use for that we don't feature here? Please let us know.

Suggested

Triangle Solver

Triangle Solver

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

The short web address is:

Transum.org/go/?to=trianglesolver

 

Homepage

Have today's Starter of the Day as your default homepage. Copy the URL below then select
Tools > Internet Options (Internet Explorer) then paste the URL into the homepage field.

Set as your homepage (if you are using Internet Explorer)

 

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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