Combinations Starters:Bus Stop: How many different ways can four people stand in line? How Many Squares? 2: How many squares can be found by joining four dots on the grid? How Many Triangles? 1: How many Triangles can you find in the diagram? 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?
Small images of these Starters    Complete Index of Starters
Curriculum for Combinations:Year 6Pupils should be taught to enumerate possibilities of combinations of two variables. more... Years 10 and 11Pupils should be taught to apply systematic listing strategies, {including use of the product rule for counting} more... Feedback: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 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 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 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 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 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 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 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 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." 
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:How Many Triangles?: A self marking step by step approach to calculating the number of triangles in a design. 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? Six Keys: Use just six keys on your calculator to make a given total. How many different ways can it be done? 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/Printables: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.
OtherIs there anything you would have a regular use for that we don't feature here? Please let us know.

HomepageHave today's Starter of the Day as your default homepage. Copy the URL below then select Set as your homepage (if you are using Internet Explorer)
Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. 
