Geometric thinking resources

Students show their understanding of reflection by drawing in the reflected images of four shapes along mirror lines.

For this task students are required to demonstrate their understanding of transformations. On three separate grids, they translate, reflect and rotate the same basic shape.

This task requires students to indicate, in a table, the invariant properties of four transformations (translation, reflection, rotation, enlargement) of a picture of a traffic light.

Students cut out 2-dimensional shapes and enlarge them by factors of 2 and 3 using paper squares.

Students construct enlargements of 2-dimensional shapes using sticks.

On a grid, students enlarge the net for a box by a scale factor of 3.

Students drag and drop to sort 2-dimensional shapes into three categories based on the number of sides, curved sides, or corners the shape has.

This task requires students to describe the three transformations an animal picture has gone through, choosing from reflection, rotation, translation, and enlargement.

Students need to identify which of the three transformations - translation, reflection, or rotation - has been applied to an animal wallpaper pattern.

In this practical task students use a ruler, a protractor, and a compass to enlarge an arrow by two given scale factors. They then complete a table to show the invariant properties.

Students draw lines of symmetry through pictures of everyday objects.

Students complete shape patterns which show translation, reflection, or rotation.

Students identify the angles of rotation that enable shapes to fit onto themselves.

Students identify the invariant properties of a translated and an enlarged shape.

Students identify which transformations could have been performed on pairs of shapes.

Students draw lines of symmetry on everyday objects.

Students draw reflections of words in a horizontal axis.

Students enlarge shapes by whole number scale factors.

Students identify invariant properties for enlargement.

Students identify axes of symmetry, and angles of rotation.

Student reflect words in horizontal and vertical axes.

Students specify the smallest angle of rotation so a shape remains the same.

Students identify what a sheet of paper will look like when it is folded and has shapes cut from it.

Students identify which transformation have been used to make different pictures of frogs.

Students identify what transformations are used to continue a pattern.