#### Perpendicular and parallel straight lines 1 1/2

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

• Name of Model
• There is no model in this lesson.

• The Lesson Structure
• According to planned curriculum.

• Lesson content
• 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.

• Prior Knowledge
• The concepts of angle,a right angle and a square.

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#### Perpendicular and parallel straight lines 2 2/2

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

• Name of Model
• A dress.

• The Lesson Structure
• According to the curriculum.

• Lesson content
• 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.

• Prior Knowledge
• The concepts of angle,straight angle and square.

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#### Didactic -Perpendicular line and perpendicular side of polygon

• Lesson Aims
• The study of Perpendicular Lines and Perpendicular Sides of Polygons.
• Comparison of angle sizes.
• Investigation of angles and  Perpendicular Lines and Perpendicular Sides of Polygons.

• Name of Model
• A sweet box.

• The Lesson Structure
• The measuring tool,Composition and Decomposition,Polygons 3,Perpendicular Lines and Perpendicular Sides of Polygons.

• Lesson Content
• In this lesson the pupils will investigate intersection of straight lines,perpendicular lines and perpendiculars sides of Polygons. The model comes as surprise while learning new concepts and revising previously learnt concept.

• Prior knowledge
• .The concepts of Angle, Right Angle,Square and Pentagon

• Materials
• Measuring Tool, origami sheets 15×15 cm.

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

• Name of Model
• Space ship.

•

• Lesson Structure
• 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.

• Prior Knowledge
• The concepts of vertices and  sides of polygons.

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#### CLASSIFICATION OF PYRAMIDS

• Lesson Aims
• Investigating pyramids.
• Investigating the faces,edges and vertices of pyramids.
• Folding envelopes of pyramids.
• Name of Model
• Envelopes of triangular,square and pentagonal pyramids.

• Lesson Structure
• According to curriculum.

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

• Prior Knowledge

• Materials
• 5 origami sheets 15cm x15 cm.

Worksheet on the subject of pyramids

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#### Rotational symmetry 1/2

• Lesson Aims
• 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.
• Model name
• A puppy

• Lesson structure
• According to the curriculum.

• Lesson content
• 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.

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#### MEASUREMENT-DIRECT COMPARISON AND NON-STANDARD UNITS 1/3

• Lesson Aims
• 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.
• Name of Model
• A finger snake

• Lesson Structure
• According to curriculum.

• Materials
• Origami sheets 15cm x15 cm

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#### An activity for fostering Geometric Thinking-Polygons and congruency

• Lesson Aims
• Recognizing additional properties of polygons.

• Name of Model
• No name.

• Lesson Structure
• This lesson is for identifying properties of polygons in an investigative activity.

• Lesson Content
• A creative approach to recognizing and folding various polygons without a model.

• Prior Knowledge
• A full understanding of polygon shapes and congruency.

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#### COMPARISON OF POLYGON AREAS 3/3

• Lesson Aims
• 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.
• Name of Model
• Bookmark

• Lesson Structure
• According to curriculum

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

• Materials
• 3 Origami sheets 15 cm x 15 cm.

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#### Unit of measurement for measuring Volume-a cube.

• Lesson Aims
• 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.
• The Name of the Model
• Structures built with cubes.

• Lesson Content
• 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.

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