Pascal's Patterns

Here

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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 can 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.

Suggested

Pascal's Triangle

Pascal's Triangle

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

The short web address is:

Transum.org/go/?to=pascals

Related

Xmas Toggle Tree

Xmas Toggle Tree

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

The short web address is:

Transum.org/go/?to=xmastoggle

Recommended

Pascal's Xmas Tree

Xmas Tree Trim

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

The short web address is:

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.

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 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 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."

Featured Activity

Hi-Low Predict

Hi-Low Predict

A version of the Play Your Cards Right TV programme. Calculate the probabilities of cards being higher or lower than the one shown. a fun way to practise applying probability and using fractions.

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:

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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© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=778