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Design your Christmas light display: Pattern:
Every: Starting at: Colour: Add
Run Light Show Clear Instructions
There are many wonderful patterns in Pascal's triangle and they make excellent designs for Christmas tree lighting. Choose a number pattern from the dropdown box above, set the timing and colour then add it to the instructions for the lighting display. Press the Run Light Show button to see your creation.
During your display each light will stay on for one second so setting a light to come on every 1 second effectively means that light stays on for the whole display time.
Patterns chosen further down the dropdown list may overwrite some of the lights in the patterns chosen higher up the list.
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Transum.orgThis web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available. Please contact me if you have any suggestions or questions. 
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? 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 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. 
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Numeracy"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables." Secondary National Strategy, Mathematics at key stage 3 

Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.  
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© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=775
Transum,
Thursday, October 18, 2018
"Creating this activity was the most interesting project I have tackled for ages. I discovered many more patterns in Pascal's triangle than I thought were there. Creating the algorithms and formulas to identify the hexagons that need to light up for any chosen pattern was a great example of Maths in action and a very satisfying experience. Here is the first light show I created on completing the project: First Light Show. I'm sure you can do much better. Have fun!"