# Vector Maze

## Transum.org

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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?

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#### Striped Sweets

Colour the sweet wrappers so that no two are the same. A multi-level activity designed to encourage a systematic strategy for finding all of the different permutations.

## 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

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Friday, May 3, 2019

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© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=780

## Instructions

Close

Type numbers into the vectors to create movement. For example, in level 1 you may decide the first vector should represent five squares across (positive values move to the right and negative values left) and eleven squared down (positive values are up and negative values down).

Press the 'Run Vectors' button to see the affect of your chosen numbers.

The objective is to find the shortest route to reach the red circle. You might be able to shorten your route if you use more vectors.

Currently the shortest route for this level (Level 4) has been achieved by someone claiming a trophy with the name Slayz9000 with a distance of 24.2 units on Monday, April 15, 2024. Can you beat that? If you can make sure you claim a trophy because that is how fast times are officially recognised.

Slayz9000

24.2

Can you find a shorter route?

You can calculate the length of each leg of your journey by using Pythagoras' Theorem. In the example below red lines have been drawn to show the horizontal and vertical components of the vector, 3 across and 4 down.

Prthagoras' Theorem states that the length of the hypotenuse (the blue line) is equal to the square root of the squares of the other two sides added together (the red lines).

So the length of this leg of your journey is 5 units. You will find that the lengths you are finding in this way don't often turn out to be whole numbers so you should round of the length of your complete journey to three significant figures.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.