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 Choose the topic: Please select ..... A: Applying mathematics and solving problems B: Place value, ordering and rounding C: Integers, powers and roots D: Fractions, decimals, percentages, ratio and proportion E: Number operations and the relationships between them F: Mental methods and rapid recall of number facts G: Calculations: written methods H: Calculations: calculator methods I: Calculations: checking results J: Equations, formulae and identities K: Sequences, functions and graphs L: Geometrical reasoning: lines, angles and shapes M: Transformations N: Coordinates O: Construction & loci P: Measures and mensuration Q: Statistics R: Probability M: 1 2 3 4 5 6 7 8 9 10
Reflections, translations, rotations and enlargements

Reflect shapes

M1: Interactive reflections resource: drag the yellow shape with the black outline and watch the reflections change. Select the shape using the buttons. Turn the labels and coordinates on or off.

M2: Reflect shapes in a vertical or horizontal mirror line.

M3: Reflect shapes in a diagonal mirror line.

Rotate a triangle about a point

M4: Interactive rotation resource: drag the yellow triangle and watch the rotations. Move the centre of rotation (the red point). Use the buttons to show or hide the rotations. Turn the labels and coordinates on or off.

The transparent triangles can be used as 'answers'. Select the triangle and drag it to where you think the rotation is going to be.

Rotate shapes about a point

M9: Rotate shapes: drag the yellow shape, move the centre of rotation (the red point). Click on the rotate buttons to rotate the shape 90 degrees clockwise or anti-clockwise. Use the shadow button to show or hide the shadows. Select the shape using the shape butons.

Reflect, rotate and translate a triangle

M5: Interactive transformation resource: drag the yellow triangle and watch the transformations. Use the buttons to show or hide the translation, reflections or rotations. Turn the labels and coordinates on or off.

The transparent triangles can be used as 'answers'. Select the triangle and drag it to where you think the reflection or rotation is going to be.

M6: Rotate and reflect shapes on to their shadows: use the transformation buttons to rotate and reflect the shapes. Use the shape buttons to change the shapes.

 Click on the green button to change the mode. Use the 'instant mode' to carry out the transformations straightaway. Use the 'program mode' to create a set of up to five transformations which will be carried out one after another .

M7: Rotate, reflect and translate triangles on to their shadows: use the transformation buttons to rotate, reflect and translate the shapes.

 Use these buttons to hide or show the triangles, their shadows and outlines, and the lines y=x and y= -x. The outlines are useful for seeing where the transformation starts. Up to five commands can be put into a program. Click on the 'play' button to run the program. When the transformations have finished you can start again with a new program or reset the shapes to run the program again. Click on the green button to change the mode. Use the 'instant mode' to carry out the transformations straightaway. Use the 'program mode' to create a set of up to five transformations which will be carried out one after another.

M8: Enlarge shapes: drag the red shapes about.

Drag the centre of enlargement and use the slider to determine the enlargement scale factor.

Use the buttons to hide or show (from the top) the coordinates, the enlargement lines
and the triangle and trapezium enalargements.

The locus of a point
M10: A point on a wheel
Circular, square and rectangular wheels.
 Use these buttons to select the type of wheel and its size. From the left: the size, small or large circle and square. The size of the rectangle can be changed using these sliders. Hide or show the locus and then play.

Active Maths Limited
registration no: 04713591