Ratio Starters:Aunty Dotty: A real life situation requiring the division an amount of money according to a given ratio. Missing Square Puzzle: The missing square puzzle is an optical illusion used to help students reason about geometrical figures. Plant More Trees: If six girls can plant 90 trees in a day. How many trees can ten girls plant in a day? The unitary method. What are they?: A starter about sums, products, differences, ratios, square and prime numbers.
Small images of these Starters :: Index of Starters Ratio Advanced Starters:How Many Left Handers?: Work out the number of members if the probability of lefthanded members being randomly selected is given. Hundred and Fifty Percent: Divide 110 into two parts so that the larger part is 150% of the smaller part. Paper Ratio: Calculate the ratio of the sides of an A4 sheet of paper without any measuring. Paper Surprising Perimeter: Find the perimeter of a folded sheet of A4 paper as described in this short video. Sibling Count: How many boys and how many girls are there in the family? Temperature Sum: Can you explain why 0^{o}C + 0^{o}C does not equal 64^{o}F Three Right Triangles: Calculate the lengths of the unlabelled sides of these rightangled triangles. Two real numbers: The sum of the reciprocals of two real numbers is 1, and the sum of their cubes is 4. What are they?
Curriculum for Ratio:Year 5Pupils should be taught to solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates more... Year 6Pupils should be taught to solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts more... Pupils should be taught to solve problems involving similar shapes where the scale factor is known or can be found more... Pupils should be taught to solve problems involving unequal sharing and grouping using knowledge of fractions and multiples. more... Years 7 to 9Pupils should be taught to use scale factors, scale diagrams and maps more... 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 use ratio notation, including reduction to simplest form more... Pupils should be taught to divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio more... Pupils should be taught to understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction more... Pupils should be taught to relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions more... Pupils should be taught to solve problems involving direct and inverse proportion, including graphical and algebraic representations more... Years 10 and 11Pupils 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 understand that X is inversely proportional to Y is equivalent to X is proportional to 1/Y ; {construct and} interpret equations that describe direct and inverse proportion more... Pupils should be taught to interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion more... Pupils should be taught to identify and work with fractions in ratio problems more... Pupils should be taught to apply the concepts of congruence and similarity, including the relationships between lengths, {areas and volumes} in similar figures more... ExamStyle Questions:There are almost a thousand examstyle questions unique to the Transum website. Feedback: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 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 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 6 May 'Starter of the Day' page by Natalie, London: "I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable." 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 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 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 7 December 'Starter of the Day' page by Cathryn Aldridge, Pells Primary: "I use Starter of the Day as a registration and warmup activity for my Year 6 class. The range of questioning provided is excellent as are some of the images. 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. 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 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 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 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 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 s /Coordinate 'Starter of the Day' page by Greg, Wales: "Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!" 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 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 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je: "I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson." 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 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 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 9 October 'Starter of the Day' page by Mr Jones, Wales: "I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!" Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull: "Dear Transum, 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 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 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 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 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School: "What a brilliant website. We have just started to use the 'starteroftheday' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources online we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun." 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 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." 
Notes:A ratio is a relationship between two numbers of the same kind. In layman's terms a ratio represents, simply, for every amount of one thing, how much there is of another thing. Ratio Teacher Resources:Dividing in a Ratio: A slide presentation showing how to divide a quantity in a given ratio Ratio Activities:Ratio: A self marking exercise on using ratio notation, reducing a ratio to its simplest form and dividing a given quantity into a number of parts in proportion to a given ratio. Double, Double, Halve and Treble: Questions about scaling up the ingredients in the correct proportion for the witch's brew at Hallowe'en. Ratios vs Fractions: Relate the language of ratios and the associated calculations to the arithmetic of fractions. Scale Drawings: Measure line segments and angles in geometric figures, including interpreting scale drawings. Algebra In Action: Real life problems adapted from an old Mathematics textbook which can be solved using algebra. Recipe Ratios: Learn the mathematics required to adapt recipes to serve a different number of people. Pattern Clues: An interactive activity challenging you to reproduce a pattern of coloured squares according to given clues. Unitary Method: Ten questions which can be solved using the unitary method. Unit Pricing: Calculate the unit cost of items to earn jigsaw pieces that make a joke. Map Scales: Test your understanding of map scales expressed as ratios with this self marking quiz. Ratio Clues: Arrange the ratio clues in the clouds in a logical order to work out the values of the twelve letters. Similar Shapes: Questions about the scale factors of lengths, areas and volumes of similar shapes. Direct and Inverse Proportion: A selfmarking exercise in solving direct and inverse variation problems. 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 Ratio. Ratio Videos:Ratio Video: Learn to work with ratios including dividing a quantity in a given ratio. Ratios And Rates: A lively explanation from Math Antics Map Scales Video: Refresh your understanding of map scales expressed as ratios. Scale Factors Video: The scale factor, area factor and volume factor of similar shapes are quite different. Direct and Inverse Proportion Song: Examples showing how to solve direct and inverse proportion questions in the form of a song! Ratio External Links:Links to other websites containing resources for Ratio 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: SearchThe 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.

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Pak Yuen, Twitter
Wednesday, November 1, 2017
Shyrell,
Monday, January 18, 2021
"Thank you so much for the beautiful and interactive activities here in your site its a great help for me in my discussion and my students love it so much . <3
God bless."