During the folding processes the pupil will relate to perpendicular and parallel lines and segments.

There is no model in this lesson.

According to planned curriculum.

This is a prepatory lesson to the next lesson about parallel and perpendicular lines and segments with the model of a dress. In the lesson the pupils investigate the properties of parallel and perfpendicular lines using  their measuring tool.

The concepts of angle,a right angle and a square.

• The pupil will learn the measurement units cm and square cm using the units to measure perimeter and area of shapes.
• The pupil will learn how to computate perimeter and area of a rectangle.
• Computing perimeter and area of composite shapes made from rectangles.
• Computing of areas of objects in the environment.
• Computing maximum areas of shapes with given perimeter.

The puppy on the fence.

According to curriculum.

Using square grid paper to cut polygons of 36 square cm area and investigating perimeters of these shapes.

2 sheets of squared grid origami paper 12cm x 12cm

During the folding process the pupils will identify parallel and perpendicular lines.

A dress.

According to the curriculum.

This is the second lesson on parallel and perpendicular lines following the prepatory lesson on parallel and perpendicular lines-1 1/2. In this lesson will identify aparallel and perpendicular lines in other situations. The final model will be  a surprise for the pupils and at the same time learning new concepts and revising previously learnt concepts.

The concepts of angle,straight angle and square.

The pupils will identify the following quadrilaterals: Square,rectangle,trapezoid.

Space ship.

In this lesson the pupils will investigate through folding different quadrilaterals and their properties. The final shape will be a surprize for the pupils.While folding the pupils will learn new concepts and revise previously learnt concepts.

The concepts of vertices and  sides of polygons.

• Identify two shapes as congruent after a rotation.
• Identify which shapes  are congruent as a result of reflective or rotational symmetry or both.
• Identify the shapes with rotational symmetry of various orders.
• Identify using activities to identify propeties of symmetry in different shapes.

A puppy

According to the curriculum.

The folding process at different stages enables the pupil to learn about the concept of rotational symmetry together with the concept of reflective symmetry (not formal definitions). On completing the final surprising model the pupil can revise previously learnt concepts and review the new concepts that have been learnt in this lesson.

• Investigating pyramids.
• Investigating the faces,edges and vertices of pyramids.
• Folding envelopes of pyramids.

Envelopes of triangular,square and pentagonal pyramids.

According to curriculum.

Folding and assembling  envelopes of  triangular,square and pentagonal pyramids.Listing faces,edges and vertices of pyramids.

Quadrilaterals and polygons.

5 origami sheets 15cm x15 cm.

Worksheet on the subject of pyramids

• Pupils will investigate measurement by direct comparison and by non-standard units.
• Pupils will compare lengths of a certain object.
• Pupils use the measurement tool as a non-standrad unit for measuring lengths.

A finger snake

According to curriculum.

Origami sheets 15cm x15 cm

Investigate pyramids

• Description of a pyramid, number of faces,edges and vertices.
• Recognition of a triangular pyramid and envelope of a pyramid.
• Pyramids with different bases.

Envelope of a triangular pyramid.

First lesson on the topic of 3-D solids.

Pupils will construct a triangular pyramid, investigate the properties of this pyramid, the envelope of this pyramid constructed from triangles and comparison of  the envelope and the solid.

Polygons and triangles.

• Recognition of the concept area by direct comparison of shapes.
• Comparison of area size by congruency and decomposition of shapes.
• Comparison of areas using a basic shape.
• Decomposing shapes in order to find areas of composite shapes.

Bookmark

According to curriculum

Composing new polygons from a basic triangle shape and comparing areas in relation to the area of the basic triangle shape.

3 Origami sheets 15 cm x 15 cm.

• Recognizing the concept of volume.
• Recognizing the use of an accepted unit of volume measurement-a cube.
• Recognizing which measurements are necessary for determining the volume of a prism.
• Recognizing that different structures may have the same volume but different heights.

Structures built with cubes.

The pupils will construct two different sized cubes by a folding process. Using these cubes the pupils will measure the volume of a container and reach the understanding that a number representing a volume measurement must relate to the unit of measurement used. Pupils will learn that different structures assembled with the same number of cubes may have different heights.Height measurement alone is insufficient for volume measurement.

Origami sheets of 2 sizes. 10 x 10 cm,15 x 15 cm.