#### The envelope of a triangular pyramid

• Lesson Aims
• 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.
• Model Name
• Envelope of a triangular pyramid.

• Lesson structure
• First lesson on the topic of 3-D solids.

• Lesson content
• 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.

• Prior knowledge
• Polygons and triangles.

The envelope of a triangular pyramid

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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.

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#### Fractions and Parts of a Whole 1/2

• Lesson Aims
• Recognizing unit fractions using the area model for parts of a whole.
• Recognizing the form of a unit fraction representing the numerator and  denominator.
• Recognizing  the concept part of a whole.
• Investigating parts of a whole in relation to squares of different area sizes.
• Lesson Content.
•

In this lesson 1/2 representing a unit fraction as one part of a whole using squares of different area sizes.

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

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#### Fractions and Parts of a Whole 2/2

• Lesson Aims
• Recognizing unit fractions using the area model for parts of a whole.
• Recognizing the form of a unit fraction representing the numerator and  denominator.
• Recognizing  the concept part of a whole.
• Investigating parts of a whole in relation to squares of different area sizes.
• Investigating the part of a whole as a fraction with a numerator different than 1.
• Lesson Content
• Lesson 2/2. Using already folded squares from the previous lesson the pupils will learn about another unit fraction resulting from additional fold to the squares.

• Materials
• Folded squares from the previous lesson. Origami sheets of 2 sizes: 10 x 10 cm, 15 x 15 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. 