

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 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 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School: "Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work." 


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. TeachersIf 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. 
© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Activity/Number/Grid/
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Investigate the patterns each of the times tables make on different grids. This is done by colouring in multiples then saving or printing the finished diagram. [Note that from most browsers the option 'Print Background Colors and Images' or 'Background Graphics' must be selected.]
Which times tables overlap? Which times tables produce straight lines? Which times tables have symmetry? Do you know your Times Tables?
Do the Tables Patterns activity but start at the number obtained by rolling a dice. So for the five times table, if the dice number was three, colour in squares 3, 8, 13, 18 etc. This idea can be extended to visualising arithmetic sequences.
Make up a quiz for pupils to answer without looking at the grid. Suggested questions are:
1. On the 10 by 10 grid which number is directly below 52?
2. On the 10 by 10 grid which number is directly above 77?
3. On the 10 by 10 grid which number is two squares to the right of 34?
4. On the 10 by 10 grid a spider starts at on the 62 square. It walks eight squares to the right then up five squares. What square is it on now?
5. On the 10 by 10 grid an ant starts at on the 28 square. It walks four squares to the left then down six squares. What square is it on now?
6. On the 9 by 9 grid which number is directly below 52?
7. On the 8 by 8 grid which number is directly above 77?
8. On the 7 by 7 grid which number is two squares to the right of 30?
9. On the 8 by 9 grid a spider starts at on the 56 square. It walks seven squares to the right then up six squares. What square is it on now?
10. On the 9 by 8 grid an ant starts at on the 30 square. It walks four squares to the left then down five squares. What square is it on now?
There is a famous method of creating a list of prime numbers from a grid of numbers but rather than use this page, use the dedicated Sieve of Eratosthenes interface instead.
Consider a square made of four grid squares. It will contain four different numbers depending on which four grid squares it covers. Add together the pairs on numbers in the diagonally opposite grid squares. What do you notice?
This idea of invistigating numbers in shapes is extended in the Number Stairs and Calendar Maths investigations.
A related activity has been created in which pieces of a number grid have been created to produce a jigsaw. This enhances the understanding of how different size grids are constructed. You can try it at Number Jigsaws.
This is a game for two players. The first player colours in a number less than 50 on the 10 by 10 grid. The second player than has to colour in a number that is either a factor or multiple of that number. Play continues with each player having to find either a factor or multiple of the last number cououred in until no more can be found. An online interactive version of this game is here: Flabbergasted.
Colour in squares to make a path from the left side of the 10 by 10 grid to the right. You can only colour in prime, triangular or Fibonacci numbers. The path can go from one square to an adjacent square as long as they share a side or a corner. [You can make up other challenges like this one using different size grids.]
The solution to this challenge and additional features are available when you are logged in to your subscription account.
The teacher secretly uses the buttons in the 'Teachers' tab to produce a number pattern which the pupils then try to describe.
For example the pattern below is made from the multiples of three in red followed by the multiples of nine in blue.
Please share if you have any other suggestions for number grid activities. You can leave your comments here and they will appear at the bottom of the Number Grid main page.
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