Perpendicular Line

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THE ORIGAMETRIA
PROGRAM
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Each pupil chooses a sheet of origami paper.Two colored markers are needed and also the measuring tool
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This lesson should be given after the lesson on intersecting and perpendicular lines.
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Folding instructions: Fold opposite sides of your sheet.
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Folding instructions: Fold opposite sides of the sheet as shown.
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The folding should be done only by the pupils.
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Instructions: Use your measuring tool and markers to mark the intersecting lines.
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Use the measuring tool as a ruler.
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A discussion question: Which angles can be identified at the point of intersection? How can you check this?
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Use the measuring tool for checking the angles.
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Answer: At the point of intersection of the two colored lines there are right angles.
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A discussion question: Which name can be given to the two intersecting lines? Explain.
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A class discussion should take place before showing the answer.
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Answer: The 2 lines are perpendicular lines.
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The 2 lines are also lines of symmetry for the square.
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Folding instructions: Fold two adjacent vertices to form 2 triangles as shown.
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Check that the pupils have folded the correct triangles.
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Folding instructions: Turn over your shape.
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Folding instructions: Fold one side of the shape as shown.
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Folding instructions: Turn over your shape.
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Folding instructions: Fold opposite sides as shown.
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Folding instructions: Fold your shape as shown and then open the shape.
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Show this fold clearly to the pupils.
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Folding instructions: With the shape placed as shown press down on the triangle as in the animation.
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As this fold is complex check that it has been done correctly. The teacher should demonstrate this several times .
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A discussion question: In the animation we can see 2 segments of lines that are colored. Are these segments perpendicular to each other?
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Use the measuring tool for checking.
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Answer: The angle measured is a right angle and the two segments are perpendicular to each other.
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A discussion question: Are the 2 colored segments in this animation perpendicular?
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Before showing the answer a discussion should take part with the pupils.
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Answer: The angle between the 2 segments is not a right angle and the segments are not perpendicular to each other.
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Folding instructions: Fold the side of the triangle as shown in order to form two triangles.
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זAs this fold is complex check that it has been done correctly. The teacher should demonstrate this several times .
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Folding instructions: Fold one triangle as shown.
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As this fold is complex check that it has been done correctly. The teacher should demonstrate this several times .
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Folding instructions: Close the shape on the dotted line as shown.
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Close like a book.
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Folding instructions: Hold the tail of your fish shape and it will begin swimming!
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A discussion question: Which pair of lines are perpendicular? A or B?
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A discussion question: Is it possible to draw a line which is perpendicular to the red line? How will you know?
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Using the measuring tool each pupil should draw a line of his own in his workbook and the draw a perpendicular line to the first line.
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Class activity: Find pairs of perpendicular lines in your classroom. How can you check ?
- Lesson Aims
Pupils will recognise perpendicular lines and draw perpendicular lines.
- Name of Model
The swimming fish.
- The Lesson Structure
The measuring tool,Composition and Decomposition of Shapes, Polygons 3,Perpendicular lines and sides of polygons.
- Lesson Content
In this lesson the pupils will investigate perpendicular and intersecting lines. At the conclusion of this lesson the final model will be a surprise while learning new concepts and revising previously learnt geometrical concepts.
- Prior knowledge
Angles,right angle,sides of a polygon.
- Materials
Two sheets of origami paper 15×15 cm,and two colored markers.