WALT: recognise shapes by their properties

WILF:

1. Compare 2D and 3D shapes2. Classify 2D and 3D shapes3. Identify lines of symmetry

Revise

2D shapes have two dimensions – length and width. A polygon is a 2D shape with straight sides. Polygons are compared and classified according to the properties of their sides and angles.

Triangles have 3 sides and 3 vertices.

The total of the angles in a triangle is 180 .

A scalene triangle has no equal sides or angles.

This is a right-angled triangle as one of its angles is 90˚. It is also scalene.

An equilateral triangle is a regular polygon. It has sides of equal length and each angle is 60˚.

An isosceles triangle has two sides of equal length and two angles of equal size.

This is a right-angled triangle as one of its angles is 90˚. It is also isosceles.

Key VocabularyRegular – A polygon that has all sides and angles equal.Parallel – Lines that always stay the same distance apart and never meet.Adjacent – Angles or sides that are next to each other.

Compare and classify 2D shapes based on their properties

ReviseA quadrilateral is a polygon with four sides.

Key VocabularyRegular – A polygon that has all sides and angles equal.Parallel – Lines that always stay the same distance apart and never meet.Adjacent – Angles or sides that are next to each other.

Compare and classify 2D shapes based on their properties

A square has four sides of equal length and four right angles (90˚). A square is also a rectangle, a rhombus and a parallelogram!

A rectangle has two pairs of parallel, equal sides and four right angles. A rectangle is also a parallelogram!

A parallelogram has two pairs of parallel, equal sides and opposite equal angles.

A rhombus has four sides of equal length and opposite equal angles. A rhombus is also a parallelogram!

A trapezium only has one pair of opposite parallel sides.

This is an isosceles trapezium as it has two sides of equal length and two pairs of equal angles.

A kite has two pairs of adjacent equal sides and one pair of opposite equal angles.

Revise

Key VocabularyRegular – A polygon that has all sides and angles equal.Parallel – Lines that always stay the same distance apart and never meet.Adjacent – Angles or sides that are next to each other.

A regular pentagon has five equal sides and five equal angles of 108˚.

In regular and irregular pentagons, the interior angles will total 540˚.

A regular heptagon has seven equal sides and seven equal angles.

In regular and irregular heptagons, the interior angles will total 900˚.

A regular hexagon has six equal sides and six equal angles of 120˚.

In regular and irregular hexagons, the interior angles will total 720˚.

A regular octagon has eight equal sides and eight equal angles of 135˚.

In regular and irregular octagons, the interior angles will total 1080˚.

Compare and classify 2D shapes based on their properties

Quiz

How many of these 2D shapes are polygons?

3 5

Try again!Correct!

4

Compare and classify 2D shapes based on their properties

Quiz

How many of these 2D shapes are regular polygons?

4 6

Try again!Correct!

5

Compare and classify 2D shapes based on their properties

Quiz

How many of these 2D shapes are parallelograms?

3 1

Try again!Correct!

4

Compare and classify 2D shapes based on their properties

Quiz

What type of triangle is this?

Equilateral Scalene

Try again!Correct!

Isosceles

Compare and classify 2D shapes based on their properties

Quiz

How many more sides does a hexagon have than a rhombus?

3

1

Try again!Correct!

2

Compare and classify 2D shapes based on their properties

Quiz

How many more sides does a nonagon have than a pentagon?

3

2

Try again!Correct!

4

Compare and classify 2D shapes based on their properties

Quiz

How many fewer sides does a trapezium have than a decagon?

4

5

Try again!Correct!

6

Compare and classify 2D shapes based on their properties

Quiz

How many sides are there altogether in a parallelogram, triangle and heptagon?

12

10

Try again!Correct!

14

Compare and classify 2D shapes based on their properties

Quiz

How many sides are there altogether in a kite, octagon and hexagon?

16

14

Try again!Correct!

18

Choose another objective

Compare and classify 2D shapes based on their properties

Revise Compare and classify 3D shapes and their nets

3D shapes have three dimensions – length, width and depth.

3D shapes can be compared and classified according to the properties of their faces, edges and vertices.

A polyhedron is a 3D shape with flat faces.

Spheres, cylinders and cones are not polyhedrons as they have curved surfaces.

Cube6 square faces12 edges8 vertices

Cuboid6 faces12 edges8 vertices

Square-based pyramid5 faces8 edges5 vertices

Tetrahedron4 triangular faces6 edges4 vertices

Octahedron8 faces12 edges6 vertices

Triangular prism5 faces9 edges6 vertices

Sphere1 curved surface0 edges0 vertices

Cone1 circular face1 curved surface1 curved edge0 vertices (1 apex)

Cylinder2 circular faces1 curved surface2 curved edges0 vertices

Revise Identify lines of symmetry in 2D shapes and complete a simple symmetric figure

Reflection symmetry is where one half of a shape or pattern is the exact reflection of the other half. You could fold the image and have both halves match exactly.

The line showing the reflection is called the line of symmetry.

Quiz Identify lines of symmetry in 2D shapes and complete a simple symmetric figure

No

Try again!Correct!

Yes

Is this a line of symmetry?

Quiz Identify lines of symmetry in 2D shapes and complete a simple symmetric figure

Yes

Try again!Correct!

No

Is this a line of symmetry?

Quiz Identify lines of symmetry in 2D shapes and complete a simple symmetric figure

Yes

Try again!Correct!

No

Is this a line of symmetry?

Quiz Identify lines of symmetry in 2D shapes and complete a simple symmetric figure

Which of these 2D shapes has 4 lines of symmetry?

Rectangle

Parallelogram

Try again!Correct!

Square

Quiz Identify lines of symmetry in 2D shapes and complete a simple symmetric figure

Which of these 2D shapes has 2 lines of symmetry?

Circle

Equilateral triangle

Try again!Correct!

Rectangle

Quiz Identify lines of symmetry in 2D shapes and complete a simple symmetric figure

Which of these 2D shapes has no lines of symmetry?

Isosceles triangle

Circle

Try again!Correct!

Parallelogram

Quiz Identify lines of symmetry in 2D shapes and complete a simple symmetric figure

Which image shows reflection symmetry?

Try again!Correct!

Quiz Identify lines of symmetry in 2D shapes and complete a simple symmetric figure

Which image shows reflection symmetry?

Try again!Correct!Choose another objective