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Design your Christmas light display: Pattern:

There are many wonderful patterns in Pascal's triangle and they make excellent designs for Christmas tree lighting. Choose a number pattern from the drop-down 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 drop-down list may overwrite some of the lights in the patterns chosen higher up the list.

#### Pascal's Triangle

Get to know this famous number pattern with some revealing learning activities including the Binomial Theorem.

Transum.org/go/?to=pascals

#### Xmas Toggle Tree

Find the right combination of button presses to turn all of the Christmas tree lights on.

Transum.org/go/?to=xmastoggle

#### Xmas Tree Trim

Use the lights provided to decorate each of the Christmas trees so that no two trees are the same.

Transum.org/go/?to=xmastrim

Don't miss out on other great Festive mathematical activities. Click the link below.

CHRISTMATHS

## Transum.org

This 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.

## More Activities:

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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

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."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

#### Tran Tunnels

Answer the questions as you find your way through the tunnels. Collect coins on the way. There's a musical theme to this adventure game and you won't be able to complete it unless you solve all of the clues.

## 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 Maths

Learning 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.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

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!"

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.

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