Line of reflective symmetry 2/2

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Each pupil chooses 2 sheets of origami paper.
This activity uses the measuring tool and 2 color markers.
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The 2 sheets of paper can be given to the pupils at the beginning of the activity or during the activity
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Folding instructions: Fold 2 opposite straight sides of your sheet and then open your sheet.
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The pupils should move their finger along the fold in order to strengthen the fold.
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A discussion question: What has changed on your sheet after the folding?
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Answer: We now have on the square sheet a line and 2 rectangles.
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A discussion question: Is the line on your sheet a line of symmetry? Explain.
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מומלץ להציג את התשובה לשקופית זו רק לאחר שהתקיים דיון.
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Answer: After the folding, the 2 rectangles exactly cover each other and the line is a line of symmetry.
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Folding instructions: Fold the sheet on the line of symmetry to form a rectangle.
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Folding instructions: Fold the shorter sides of the rectangle on to each other.
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Folding instructions: Open fully the sheet to obtain the large square.
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Activity: With your two markers color the two lines on your sheet. Are these lines of symmetry? Explain.
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Use the measurement tool in order to obtain straight lines. This slide should be shown after the discussion.
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Answer: The two colored lines are lines of symmetry and with each line the sheet is folded into 2 congruent rectangles.
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Folding instructions: Fold 2 adjacent vertices onto the point of intersection of the two lines of symmetry.
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A discussion question: Which folded line is the line of symmetry of the pentagon? Esplain.
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It is suggested to show this slide after the class discussion.
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Answer: The symmetry line of the pentagon is the fold between the two right angled trapezoids.
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Folding instructions: Turn over the folded sheet.
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Folding instructions:
Fold the vertex of the pentagon onto the opposite straight side as shown in the animation.
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Folding instructions:Turn over the folded sheet.
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Folding instructions:
Fold the shorter side of the rectangle onto the line of symmetry.
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A discussion question: Is the red marked line as shown, a line of symmetry? Explain.
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Answer: The red line is not a line of symmetry as it does not form two congruent shapes when folded.
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A discussion question: If an additional fold is made on the shape will the red line become a line of symmetry?
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Answer: If a fold is made on the small square then the red line will be a line of symmetry of the folded shape.
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Folding instructions: Turn over your shape.
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Folding instructions: Fold backwards two of the vertices as shown.
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Folding instructions: Fold inwards two vertices as shown.
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In this slide the 4 folded vertices are shown.
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Folding instructions: Turn over the folded shape.
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Folding instructions: Fold a straight side as shown in the animation.
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Folding instructions:Turn over the folded shape.
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A heart can be seen!
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At this stage the pupils should have available a second sheet of origami paper .
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The final activity: As you wish fold one after each other, 4 folds on your new sheet.Can you find any lines of symmetry on the shapes that can be seen after the folding?
- Lesson Aims
- To identify a line of reflective symmetry.
- To discover the properties of a reflective line of symmetry in a given shape.
- To find a line of symmetry in a given shape.
- Model Name
A heart of symmetry
- 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
This lesson is the second lesson about the concept of reflective the symmetry. pupils will investigate the reflective symmetry, during the process of folding the hart
- Grade curriculum
- Materials
.Origami paper 15 cm X 15 cm, 2 sheets per pupil