# Pascal's Patterns

Here

 Multiples of 2 GreenBlueYellowRedPurplePinkOrangeBlack Multiples of 3 GreenBlueYellowRedPurplePinkOrangeBlack Multiples of 4 GreenBlueYellowRedPurplePinkOrangeBlack Multiples of 5 GreenBlueYellowRedPurplePinkOrangeBlack Multiples of 6 GreenBlueYellowRedPurplePinkOrangeBlack Multiples of 7 GreenBlueYellowRedPurplePinkOrangeBlack Multiples of 8 GreenBlueYellowRedPurplePinkOrangeBlack Multiples of 9 GreenBlueYellowRedPurplePinkOrangeBlack Multiples of 10 GreenBlueYellowRedPurplePinkOrangeBlack Sequence of counting numbers GreenBlueYellowRedPurplePinkOrangeBlack Sequence of triangular numbers GreenBlueYellowRedPurplePinkOrangeBlack Sequence of tetrahedral numbers GreenBlueYellowRedPurplePinkOrangeBlack Remainder 1 when divided by 2 GreenBlueYellowRedPurplePinkOrangeBlack Remainder 1 when divided by 3 GreenBlueYellowRedPurplePinkOrangeBlack Remainder 2 when divided by 3 GreenBlueYellowRedPurplePinkOrangeBlack Remainder 1 when divided by 4 GreenBlueYellowRedPurplePinkOrangeBlack Remainder 2 when divided by 4 GreenBlueYellowRedPurplePinkOrangeBlack Remainder 3 when divided by 4 GreenBlueYellowRedPurplePinkOrangeBlack Remainder 1 when divided by 5 GreenBlueYellowRedPurplePinkOrangeBlack Remainder 2 when divided by 5 GreenBlueYellowRedPurplePinkOrangeBlack Remainder 3 when divided by 5 GreenBlueYellowRedPurplePinkOrangeBlack Remainder 4 when divided by 5 GreenBlueYellowRedPurplePinkOrangeBlack All the ones GreenBlueYellowRedPurplePinkOrangeBlack All the prime numbers GreenBlueYellowRedPurplePinkOrangeBlack

Clear

There are many wonderful patterns in Pascal's triangle and some of them are described above. Take time to explore the creations when hexagons are displayed in different colours according to the properties of the numbers they contain.

You can either tick some of the check boxes above or click the individual hexagons multiple times to change their colour.

Here is an idea for a whole class activity if everyone has access to technology and display this page. The teacher creates a pattern (not too complex) and displays it on the white board. Each person in the class tries to recreate that pattern without seeing the instructions.

#### 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

#### Pascal's Xmas Tree

Light up the Christmas Tree by flashing numbered lights according your own number pattern.

Transum.org/go/?to=pascaltree

## 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 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 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!"

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.

#### Strategy Games

We have collected together lots of strategy games for you to enjoy. Many of them have mathematical principles involved in their design so would make a good activity for a Mathematics lesson.

## 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 sites at Transum.com and Transum.info that contain most of the resources that are available here on Transum.org.

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

For Students:

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