Ratio Starters:Aunty Dotty: A real life situation requiring the division an amount of money according to a given ratio. Hole in One: If six girls can plant 90 trees in a day. How many trees can ten girls plant in a day? The unitary method. Missing Square Puzzle: The missing square puzzle is an optical illusion used to help students reason about geometrical figures. 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? 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... Feedback: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 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 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 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 2 May 'Starter of the Day' page by Angela Lowry, : "I think these are great! So useful and handy, the children 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 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 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! 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 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 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 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 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 9 April 'Starter of the Day' page by Jan, South Canterbury: "Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you." 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 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 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 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." 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 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 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 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 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 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 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 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 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 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 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:Direct and Inverse Proportion: A selfmarking exercise in solving direct and inverse variation problems. Map Scales: Test your understanding of map scales expressed as ratios with this self marking quiz. Pattern Clues: An interactive activity challenging you to reproduce a pattern of coloured squares according to given clues. 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. Ratio Clues: Arrange the ratio clues in the clouds in a logical order to work out the values of the twelve letters. Recipe Ratios: Learn the mathematics required to adapt recipes to serve a different number of people. Scale Drawings: Measure line segments and angles in geometric figures, including interpreting scale drawings. Similar Shapes: Questions about the scale factors of lengths, areas and volumes of similar shapes. Unit Pricing: Calculate the unit cost of items to earn jigsaw pieces that make a joke. Unitary Method: Ten questions which can be solved using the unitary method. 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:Direct and Inverse Proportion: Examples showing how to solve direct and inverse proportion questions in the form of a song! Ratios And Rates: A lively explanation from Math Antics 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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Wednesday, November 1, 2017