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 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 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 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 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 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 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 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 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 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 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!" 
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.
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