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.

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### Trigonometry Starters:

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

#### Remainder Race

A brilliant game involving chance and choice requiring an ability to calculate the remainder when a two digit number is divided by a single digit number. There are one and two player versions and the rules are inspired by the Royal Game of Ur.

### 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...

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"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!"

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"I use Starter of the Day as a registration and warm-up activity for my Year 6 class. The range of questioning provided is excellent as are some of the images.
I rate this site as a 5!"

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"I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!"

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"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."

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"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."

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"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 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:

"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

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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!"

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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.

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

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

#### Circle Theorems Exercise

Show that you understand and can apply the circle theorems with this self marking exercise. So far this activity has been accessed 6868 times and 558 people have earned a Transum Trophy for completing it.

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