Lines of symmetry in regular polygons for Year 4, over three pages. Pupils draw the lines on an equilateral triangle, a square and a regular pentagon, hexagon, heptagon and octagon. They then complete a table of the number of sides and lines of symmetry for each shape. Two questions follow, on the pattern in the table and on how many lines a regular decagon has. The key describes where each line runs. It follows England National Curriculum properties of shapes.
Geometry - properties of shapes
“identify lines of symmetry in 2-D shapes presented in different orientations”
Page 1 asks pupils to draw every line of symmetry on six regular polygons.
Geometry - properties of shapes
“compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes”
The table on page 2 compares sides with lines of symmetry for polygons with 3 to 8 sides, and the last question applies the pattern to a decagon.
Six regular polygons in cards labelled a to f, each drawn without lines. Pupils use a ruler to draw every line of symmetry on each one.
A table with a row for each shape and two columns to fill, the number of sides and the number of lines of symmetry. Then a question on the pattern and one on a regular decagon with 10 sides.
Each polygon's lines described, for example the square's 2 through opposite corners and 2 through the middles of opposite sides. The completed table has 3 to 8 in both columns.
After a folding lesson
Use it once pupils have folded paper shapes. Ask them to check two of their drawn lines by folding a cut-out.
Pattern first
Let pupils fill the table before anyone says the pattern aloud. The decagon question shows who can use the pattern instead of drawing.
Early finishers
Pupils look again at the hexagon and the octagon. In both, half the lines go through corners and half through the middles of sides.
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