Combinations Starters:How Many Triangles? 3: Find a systematic way of counting the number of triangles in the given diagram. Ice Cream: How many different ice cream cones can be made by choosing two scoops from six flavours? Noughts and Crosses: In how many different ways can the first X and O by placed on the grid? Snowman and Woman: How many different ways can you spell out the word "Snowman" by moving from snowflake to snowflake. Thai Baht: How many different ways can you make a given total with Thai coins? Tran's Hats: In how many different ways might Tran decide to wear his hats in one week?
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Feedback: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 Transum, : "Sorry Mike, because some of the starters link to live data on the Internet there is no CD version. Thanks for your comments." 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 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. 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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 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 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 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:"A combination is a way of selecting several things out of a larger group, where (unlike permutations) order does not matter. In smaller cases it is possible to count the number of combinations. For example given three fruit, say an apple, orange and pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange."  Wikipedia Combinations Teacher Resources:Icecream Combinations: How many twoscoop ice creams can you make from the given flavours? Snake Sort: Sort the coloured snakes in a logical order. This activity introduces systematic listing. Combinations Activities:Icecream Combinations: How many twoscoop ice creams can you make from the given flavours? Misfits: A Misfit is a character with a head, body and legs. How many different Misfits can you create? Snake Sort: Sort the coloured snakes in a logical order. This activity introduces systematic listing. Striped Sweets: Colour the sweet wrappers so that no two are the same. Systematic Listing: Apply systematic listing strategies to find the number of combinations and permutations of choices. Take Baht: How many different ways can you make a given total with Thai coins? Triplets: Find as many sets of three of the available numbers as possible which add up to the given total. Xmas Tree Trim: Use the lights provided to decorate each of the Christmas trees so that no two trees are the same. Combinations Investigations:Egg boxes: In how many different ways can two eggs be arranged in an egg box? House Painting: The houses in Mathsland are all three storeys tall. Each storey is painted using one colour. How many ways can the houses be painted. Odd Dice: Take three dice. How many ways can they be turned so that they show only odd numbers on top? Traffic Jams: How many ways can three cars be lined up in a traffic jam? Transum Club: How many different colour schemes can you devise for the Transum Club Badge. Combinations Videos:Combinations and Permutations: Learn how to tell the difference between permutations and combinations and use the formulae to answer questions. Permutations: A video lesson on Permutations, calculating them using the counting principle and the nPr formula. The Counting Principle: The Counting Principle, Permutations, and Combinations. A fast paced, clearly illustrated video. Combinations Worksheets:Snowman Worksheet: This printable may help pupils work out how many different ways there are to spell snowman on the snow flake grid. Combinations External Links:Links to other websites containing resources for Combinations 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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