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    Complete Index of Starters
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 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 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 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 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 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 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 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 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! 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 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: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. 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