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# Dotty Grids

"Take a dotty grid. Draw a few lines. What can you draw? What can you discover? The more you explore, the deeper you are drawn in..."

The Dotty Grids pathway on wild.maths.org is filled with starting points to stimulate students' creativity. We hope**students** will be playful, pose their own questions, and make some unexpected discoveries.

The collection of related NRICH tasks below are ideal for**teachers** who want to promote creativity in the classroom. They are designed for classroom use, with accompanying Teachers' Notes and Resources.

### Treasure Hunt

### Eight Hidden Squares

### Tilted SquaresLive

### Guess my Quad

### Completing Quadrilaterals

### Opposite Vertices

### Square Coordinates

### Route to Infinity

### Coordinate Patterns

### Square It

### Beelines

### Doesn't Add Up

### Areas of Parallelograms

### Pick's Theorem

### Vector Journeys

### 3D Treasure Hunt

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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"Take a dotty grid. Draw a few lines. What can you draw? What can you discover? The more you explore, the deeper you are drawn in..."

The Dotty Grids pathway on wild.maths.org is filled with starting points to stimulate students' creativity. We hope

The collection of related NRICH tasks below are ideal for

Age 7 to 14

Challenge Level

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Age 7 to 14

Challenge Level

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

Age 11 to 14

Challenge Level

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Age 11 to 14

Challenge Level

How many questions do you need to identify my quadrilateral?

Age 11 to 14

Challenge Level

We started drawing some quadrilaterals - can you complete them?

Age 11 to 14

Challenge Level

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

Age 11 to 14

Challenge Level

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

Age 11 to 14

Challenge Level

Can you describe this route to infinity? Where will the arrows take you next?

Age 11 to 14

Challenge Level

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

Age 11 to 16

Challenge Level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Age 14 to 16

Challenge Level

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

Age 14 to 16

Challenge Level

In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

Age 14 to 16

Challenge Level

Can you find the area of a parallelogram defined by two vectors?

Age 14 to 16

Challenge Level

Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.

Age 14 to 18

Challenge Level

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Age 14 to 18

Challenge Level

Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?