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.
Small images of these Starters :: Index of Starters Angles Advanced Starters:Angle Thinking: Find the range of possible angles, x, for which tan x > cos x > sin x Curved Angles: How many right angles are there in a semicircle? Geometry Snack: Find the value of the marked angle in this diagram from the book Geometry Snacks Hands Together: The hands of a clock are together at midnight. At what time are they next together? Triangle or Quadrilateral: Can a quadrilateral have a straight angle?
Curriculum for Angles:Year 5Pupils 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: Pupils should be taught to use the properties of rectangles to deduce related facts and find missing lengths and angles more... Year 6Pupils should be taught to draw 2D 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 9Pupils 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 Pythagorasâ€™ Theorem, and use known results to obtain simple proofs more... Years 10 and 11Pupils 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... ExamStyle Questions:There are almost a thousand examstyle questions unique to the Transum website. Feedback: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 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 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School: "Really good site. Lots of good ideas for starters. Use it most of the time in KS3." 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 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 Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks." Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull: "Dear Transum, 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." Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich: "My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource  thanks a million." Comment recorded on the 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School: "This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register." 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! Comment recorded on the s /Indice 'Starter of the Day' page by Busolla, Australia: "Thank you very much for providing these resources for free for teachers and students. It has been engaging for the students  all trying to reach their highest level and competing with their peers while also learning. Thank you very much!" 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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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 i asp?ID_Top 'Starter of the Day' page by Ros, Belize: "A really awesome website! Teachers and students are learning in such a fun way! Keep it up..." Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School: "We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory." Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry: "Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils. Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon: "Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated." Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology: "This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative." 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." 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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. Angles Teacher Resources:Kite Maths: Can you make a kite shape from a single A4 size sheet of paper using only three folds? Angle Theorems: Diagrams of the angle theorems with interactive examples. Polygon Angles Animation: Barbara Bug walks around a regular hexagon turning through each of the exterior angles as she goes. Angle Theorem Kim's Game: A memory game to be projected to help the whole class revise the circle angle theorems. Plane Bearings: A visual aid designed to help pupils estimate three figure bearings. Circle Theorems: Diagrams of the circle theorems to be projected onto a white board as an effective visual aid. Geometry Toolbox: Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra. Angles Activities: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. Angle Points: Apply the properties of angles at a point, angles on a straight line and vertically opposite angles. Pie Charts: Develop the skills to construct and interpret pie charts in this selfmarking set of exercises. Angles in a Triangle: A self marking exercise involving calculating the unknown angle in a triangle. Angle Parallels: Understand and use the relationship between parallel lines and alternate and corresponding angles. Angle Chase: Find all of the angles on the geometrical diagrams. Scale Drawings: Measure line segments and angles in geometric figures, including interpreting scale drawings. Online Logo: An online version of the Logo programming language with 30 mathematical challenges. Polygon Angles: A mixture of problems related to calculating the interior and exterior angles of polygons. Circle Theorems Exercise: Show that you understand and can apply the circle theorems with this self marking exercise. Circle Theorem Pairs: A pairs game based around ten theorems about the angles made with chords, radii and tangents of circles. Snooker Angles: An online game for one or two players requiring an ability to estimate angles as bearings. Angles Mixed: Find the unknown angles by using the basic angle theorems. Proof of Circle Theorems: Arrange the stages of the proofs for the standard circle theorems in the correct order. Geometry Toolbox: Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra. Common Trig Ratios Radians: A selfmarking exercise on finding the exact values of sine, cosine and tangent of special angles given in radians. 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 evergrowing collection of ExamStyle Questions with worked solutions on the topic of Angles. Angles Investigations:Tessellations: Drag the shapes onto the canvas to create tessellating patterns then try the tessellations quiz. Angles Videos:Measuring Angles Video: Learn how to use a protractor to measure angles of any size. This video is to help you do the online, selfmarking exercise. Angle Points Video: See a demonstration of angles in a full turn around a point, angles together on a straight line and vertically opposite angles. Angles in a Triangle Video: A reminder of how to use the fact that the angles in a triangle sum to 180 degrees to find the size of unmarked angles in triangular diagrams. Angle Properties Song: A song about the angles made with parallel lines. Polygon Angles Video: A concise reminder about angles, both interior and exterior, in regular and irregular polygons. Angles in Depth: Craig Barton and Jo Morgan help you and your class understand angles through the means of kung fu. 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? Ruler and Compass Construction: A demonstration of standard ruler and compass constructions Angles Worksheets/Printables:Measuring Lines and Angles: Practice using a ruler and protractor on this worksheet with answers provided. Angle Chase Worksheets: A set of printable Angle Chase sheets on which pupils fill in the missing angles. 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'. 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