Transum Maths Software

Angles

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 Angles. 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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Angles Starters:

Air Traffic Control: Work out which aircraft are in danger of colliding from their positions and direction of travel. An exercise in understanding bearings.

Angle Estimates: Estimate the sizes of each of the angles then add your estimates together.

Pie Chart: An exercise in estimating what the sectors of a pie chart represent.

Sectors: Work out which sectors fit together to make complete circles. Knowledge of the sum of the angles at a point will help find more than one correct solution to this puzzle.

Square Angles: Find a trapezium, a triangle and a quadrilateral where all of the angles are square numbers.

Advanced Angles Starters

 

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

Featured Activity

Without Lifting

Without Lifting

Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Some diagrams are possible while others are not. What is the rule?

 

Curriculum for Angles:

Year 5

Pupils should be taught to know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles more...

Pupils should be taught to draw given angles, and measure them in degrees (°) more...

Pupils should be taught to identify:
- angles at a point and one whole turn (total 360°)
- angles at a point on a straight line and a turn (total 180°)
- other multiples of 90° more...

Pupils should be taught to use the properties of rectangles to deduce related facts and find missing lengths and angles more...

Year 6

Pupils should be taught to draw 2-D shapes using given dimensions and angles more...

Pupils should be taught to compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons more...

Pupils should be taught to recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles. more...

Years 7 to 9

Pupils should be taught to draw and measure line segments and angles in geometric figures, including interpreting scale drawings more...

Pupils should be taught to describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric more...

Pupils should be taught to derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies more...

Pupils should be taught to apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles more...

Pupils should be taught to understand and use the relationship between parallel lines and alternate and corresponding angles more...

Pupils should be taught to derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons more...

Pupils should be taught to apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs more...

Years 10 and 11

Pupils should be taught to {apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results} more...

Feedback:

Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :

"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Best wishes from Inger Kisby"

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

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 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 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 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

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 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!!"

Notes:

Pupils should understand that angles represent an amount of turning and be able to estimate the size of angle. When constructing models and drawing pupils should be able to measure and draw angles to the nearest degree and use appropriate language associated with angles.

Pupils should know the angle sums of polygons and that of angles at a point and on a straight line. They will learn about angles made in circles by chords, radii and tangents and recognise the relationships between them.

Pupils will work with angles using trigonometry, transformations and bearings. In exams pupils are often instructed that while non-exact answers should be given to three significant figures, angle answers should be given to one decimal place.

Angles Teacher Resources:

Angle Theorem Kim's Game: A memory game to be projected to help the whole class revise the circle angle theorems.

Angle Theorems: Diagrams of the angle theorems with interactive examples.

Circle Theorems: Diagrams of the circle theorems to be projected onto a white board as an effective visual aid.

Kite Maths: Can you make a kite shape from a single A4 size sheet of paper using only three folds?

Plane Bearings: A visual aid designed to help pupils estimate three figure bearings.

Angles Activities:

Angle Chase: Find all of the angles on the geometrical diagrams.

Angle Parallels: Understand and use the relationship between parallel lines and alternate and corresponding angles.

Angle Points: Apply the properties of angles at a point, angles on a straight line and vertically opposite angles.

Angles in a Triangle: A self marking exercise involving calculating the unknown angle in a triangle.

Circle Theorem Pairs: A pairs game based around ten theorems about the angles made with chords, radii and tangents of circles.

Circle Theorems Exercise: Show that you understand the circle theorems with this self marking exercise.

Estimating Angles: Estimate the size of the given acute angles in degrees.

Measuring Angles: Measure the size of the given angles to within two degrees of their actual value.

Online Logo: An online version of the Logo programming language with 30 mathematical challenges.

Pie Charts: Develop the skills to construct and interpret pie charts in this self-marking set of exercises.

Polygon Angles: A mixture of problems related to calculating the angles in polygons.

Proof of Circle Theorems: Arrange the stages of the proofs for the standard circle theorems in the correct order.

Scale Drawings: Measure line segments and angles in geometric figures, including interpreting scale drawings.

Snooker Angles: An online game for one or two players requiring an ability to estimate angles.

Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world.

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

Angles Investigations:

Tessellations: Drag the shapes onto the canvas to create tessellating patterns and investigate the laws of tessellations.

Angles Videos:

Angle Properties Song: A song about the angles made with parallel lines.

Ruler and Compass Construction: A demonstration of standard ruler and compass constructions

The 50 Cent Riddle: A 50 cent coin has 12 equal sides. If you place two coins next to each other on a table, what is the angle formed between the two coins?

Angles Worksheets/Printables:

Angle Chase Worksheets: A set of printable Angle Chase sheets on which pupils fill in the missing angles.

Mearsuring Lines and Angles: Practice using a ruler and protractor on this worksheet with answers provided.

Polybragging Cards: Printable cards for the Polybragging game. Use the properties of polygons to win.

Angles External Links:

Links to other websites containing resources for Angles 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:

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Roger Kidney, Dulwich Prep School, Cranbrook

Tuesday, January 21, 2014

"I am a great fan of your website. We enjoy the starters but also many of the activities within the topics."

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