Bus Stop: How many different ways can four people stand in line?
Coloured Sheep: What is the probability of picking a red sheep from the sheep in the field?
Ice Cream: How many different ice cream cones can be made by choosing two scoops from six flavours?
Pick From The Pot: The pot contains 10 counters which are being randomly removed and replaced. How many of each colour do you think are in the pot?
Tran's Hats: In how many different ways might Tran decide to wear his hats in one week?
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 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 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 'starter-of-the-day' 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 on-line 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 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 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 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 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 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 28 September 'Starter of the Day' page by Malcolm P, Dorset:
"A set of real life savers!!
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 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 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 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 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 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 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 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 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 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 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 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 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 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:
"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."
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 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 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 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 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull:
Comment recorded on the 8 December 'Starter of the Day' page by 7(1), Highfield School:
"We found: excitement, marvellous, transported, photography, chocolatey, dictionary, Donald Trump and Mr Quagmire. It also prompted a discussion on the ratio of consonants to vowels in words. We have one with 7:1."
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."
Probability is a measure of the weight of evidence, and is arrived at through reasoning and inference. In simple terms it is a measure or estimation of likelihood of the occurrence of an event. The word probability comes from the Latin word probabilitas which is a measure of the authority of a witness in a legal case. Some of the earlier mathematical studies of probability were motivated by the desire to be more profitable when gambling. Today however the practical uses of probability theory go far beyond gambling and are used in many aspects of modern life.
Probability Teacher Resources:
Dice and Spinners: Computer generated random numbers for games and probability experiments
Dice Bingo: Choose your own numbers for your bingo card. The caller uses two dice and adds the numbers together.
Greater Than: The teacher has a set of six cards numbered 1 to 6. They are placed face down on the teachers desk so that the teacher can pick up one at random which students then have to fit onto a grid.
Normal Distribution Calculator: A customised online calculator for quickly finding areas under the normal distribution curve.
Plinko Probability: A simulation of a Quincunx (Galton Board) which can be used to create the bell shaped curve of the normal distribution.
Probability Line: Arrange some statements in order according to the probability of them happening.
Probability Words: A visual aid to highlight the vocabulary of probability and to debate the relationship between the given words.
Skunk: A game for the whole Maths class to play involving chance and choice.
Snail Race: Twelve snails have a race based on the sum of two dice. This is the teachers' version of the race simulation.
Two Dice Possibility Space: An interactive visual aid showing the possibility space obtained when throwing two dice
Great Expectation: An interactive online activity requiring logical thinking and a certain amount of luck to place the digits on the correct side of the inequality sign.
Hi-Low Predictions: A version of the Play Your Cards Right TV show. Calculate the probabilities of cards being higher or lower.
Pin Drop: Estimate the probability of a drawing pin landing point up from experimental data.
Probability: Basic probability questions in an online exercise.
Probability Line: Arrange some statements in order according to the probability of them happening.
Probability Washing Line: Hang out the washing on the line so that the probability words on the t-shirts are in order.
Snail Race: A race between 12 snails. Which snail is most likely to win? This is the students' version of the race simulation.
Superior: A game for two players who compete to make the largest possible number from randomly selected cards.
Tree Diagrams: Calculate the probability of independent and dependent combined events using tree diagrams.
Alternatively, for the more advanced student, there is an ever-growing collection of Exam-Style Questions with worked solutions on the topic of Probability.
Dice Investigation: Throw two dice and multiply the scores. Investigate the different products you can obtain. What about adding? What about using three dice?
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.
Predictive Survey: An eight question survey collecting data for an amazing probability experiment.
Traffic Jams: How many ways can three cars be lined up in a traffic jam?
GCSE Probability Part 1: Screencast of probability lesson for Intermediate GCSE Maths.
The Price is Right: How lucky can you get? How many ways are there to arrange the digits 23019? What strategies might a contestant use to get a price from these 5 digits.
Snail Race Board: If pupils are unable to play the Snail Race online this printable board can be used with counters and dice.
Probability External Links:
Links to other websites containing resources for Probability 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:
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"I like this topic because it helps one to predict the the future outcomes of most of the events happening in the world , e . g . weather focus."
M. F. Kuali, Mount Fletcher
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