The Lily Pond

Freddie Frog visits as many of the leaves as he can on the way to see Sammy Snail but only visits each lily leaf once. Which is the best way for him to go?

Treasure Island

Write down what you can see at the coordinates of the treasure island map. The words can be used in a special way to find the buried treasure. Can you work out where it is?

What Are You Plotting?

Investigate the positions of points which have particular x and y coordinates. What do you notice?

Fred the Class Robot

Stage: 2 Challenge Level:

Why do this problem?

This problem is one in which learners will be practising the use of coordinates and in addition will be developing their understanding of properties of shapes. The problem may challenge their preconceptions of how a shape "should be" oriented!

A similar activity could be set up practically in the classroom or outside using a floor turtle. In any case squared paper should be provided.

Key questions

Would it help to draw out what Fred is doing on squared paper?

Have you counted the number of sides of each shape and looked at the angles?

What makes the shape a square and not another four-sided shape?

Possible extension

Learners could make their own shapes on squared paper and write down the coordinates.

Possible support

Suggest drawing the shapes on squared paper. Moving the paper around might help in seeing what each shape is.

Tangram. Coordinates - first quadrant. Practical Activity. Angle properties of shapes. Visualising. Working systematically. Quadrilaterals. Compound transformations. Cubes. Interactivities.

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