Quadrilaterals A
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Quadrilaterals A
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Each pupil should choose 2 sheets of coloured paper.
For this activity have your measuring tool ready.
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The measuring tool is taught in the lesson called ‘A Measuring Tool for Comparison of Lengths’.
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A discussion question:
What are the names of these polygon shapes? What is special about these shapes? -
The pupils investigate their sheets of coloured paper.
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Answer:
The name of the shape is a square.A square has 4 sides equal in length, and 4 right-angles.
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Present this answer only after the discussion has taken place and an investigation done with the measuring tool.
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Folding instructions:
On one of your sheets, fold one vertex to lie on top of the opposite vertex. -
It is important not to touch the pupils’ work.
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A pair activity:
The pupils should place together their two triangle shapes having sides of equal length joined. What type of quadrilateral shapes can you form? -
The pupils should put together triangular shapes joining sides of equal length.
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Answer:
With the two triangular shapes, a quadrilateral shape that is a square shape with 4 equal sides and 4 right angles has been formed and a quadrilateral shape which is a parallelogram. -
The answer should be shown only after investigating the different shapes that have been formed using the measurement tool for checking sides and angles.
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Folding instructions:
Fold opposite vertices on your triangular shape. -
It is important not to touch the work of pupils even if the folds are not exact. This will not influence the final model.
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Folding instructions:
Fold two of the vertices to the line of symmetry, as shown in the animation.
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A discussion question:
Can you find a square shape on the folded paper?
Explain. -
At this stage, it is suggested that each pupil should investigate his own folded sheet and with the measurement tool, find the square shape.
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Answer:
On the folded paper, there is a square shape with 4 equal sides and 4 right angles.
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Folding instructions:
Fold the vertices of your shape as shown in the animation.
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Folding instructions:
Open out only one of the triangular shapes on your folded shape. -
Check that each pupil has folded only one of the triangular shapes.
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Folding instructions:
Turn over the folded shape. -
Check that each pupil has turned over his shape.
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Folding instructions:
Fold 2 sides of your shape to the line of symmetry as shown in the animation. -
It is important to not to touch the shapes of the pupils.
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A discussion question:
Which quadrilateral shapes can be seen on the folded shape?
Explain. -
This is a challenging question and possibly several pupils will not see the square and trapezoid shapes. It should be decided by the teacher if the question should be asked at this stage.
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Answer:
Two different quadrilateral shapes have been found on the folded shape.
1. A square shape with 4 equal length sides and 4 right angles.
2. A trapezoid shape with 4 sides. -
It is important to point out that both of these shapes have four sides.
We can see additional shapes of a trapezoid on our folded paper.
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Folding instructions:
Turn over your folded shape. -
Check that each pupil has turned over his folded paper.
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Folding instructions:
Open out the two folded triangles. Now the space ship can take off!
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Folding instructions:
The space ship needs fuel. Turn over the shape.
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Folding instructions:
Fold the vertices of your shape as shown in the animation.
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To conclude, fill your space ship with fuel.
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Did you know?
Some space ships are fuelled with liquid fuel, others with solid fuel and some with oxygen from the atmosphere.
- Lesson Aims
The pupils will identify quadrilaterals according to the number of sides.
- Name of Model
Space ship.
- The lesson structure
Triangles activity A, Triangles activity B , Polygon activity A, Polygon activity A, Polygon activities B 1/2 , Polygon activities B 2/2 , Polygon activity C , A measuring tool for comparison of lengths , Quadrilaterals A , Quadrilaterals B: Square & Rectangle – same and different, Quadrilaterals C: Square & Rectangle Line of reflective symmetry 1/2, Line of reflective symmetry 2/2, , Lines of symmetry in quadrilaterals, Translation of shapes
- Lesson content
Investigation of different quadrilaterals found during the folding process. At the end of the lesson, there is a surprise for the pupils. They learn new geometric concepts and revising previously learnt concepts.
- Prior knowledge
The concepts of sides and right-angles in polygons.
- Stages in the curriculum
- Materials
Origami paper 15 cm X 15 cm, 2 sheets per pupil.
