Polygon activity 3 decomposition and composition 1/2

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Each student chooses two differently-colored squares from the fan and prepares their paper measurement tool.
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The measurement tool is taught in the lesson, ‘A Measuring Tool for Comparison of Lengths’.
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Questions for Discussion:
What is the name of the paper polygon you have taken?
Can you describe it? -
יש לבחון את הריבוע תוך הסתייעות במודד
לא להראות את השקף הבא אלא לאחר דיון
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Answer:
The paper is square. All the sides are the same length and all the angles are right angles. -
יש להציג את התשובה בשקופית זו רק לאחר שנערך דיון כיתתי
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Folding Instruction:
Fold one corner to lie on top of the non-adjacent corner (opposite corner). Repeat with the other square. -
במהלך הקיפולים מומלץ לא לגעת בעבודתו של הילד, לא לתקן או לסדר את הקיפולים
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Question for Discussion:
After the folding, what is the name of the polygon you have made?
Can you describe it?
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Answer:
We have a triangle. The polygon has three vertices and three sides.
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Question:
What kind of triangle is it?
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Answer:
The triangle has two sides of equal length so it is an isosceles triangle. One corner is a right angle, so the triangle is a ‘right angled isosceles triangle’.
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Question for Discussion:
How many different polygons can you make by putting together the two triangles, so that two sides of the same length will always touch? -
יש לציין בפני התלמידים שעליהם להקפיד להצמיד שצלע אחת תהיה צמודה במלואה לצלע של המשולש האחר.
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Answer:
Two triangles will make:- A parallelogram
– A square
– A big triangle
- A parallelogram
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Question for Discussion:
How many different polygons can you by putting together THREE triangles, so that two sides of the same length will always touch? -
מומלץ לבקש מהתלמידים ליצור את המצולעים תוך עבודה בזוגות
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Answer:
Three triangles will make:– A trapezium
– A right-angled trapezium
– Two pentagons
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Question for Discussion:
How many different polygons can you make by putting together FOUR triangles, so that two sides of the same length will always touch?
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Answer:
– A trapezium
– A square
– A rectangle
– A parallelogram
– A big triangle
– A hexagon
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Question for Discussion:
In which ways are these three polygons similar?
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Question for Discussion:
In which ways are these three polygons different?
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Question for Discussion:
In which ways are these two polygons similar?
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Question for Discussion:
In which ways are these two polygons different?
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Folding Instruction:
Take one of your folded triangles and make two more folds as you want.
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Folding Instruction:
Open the paper and with your paper ruler (straight edge), go over the lines with a marker pen. -
בשלב זה יכולים התלמידים יכולים לצייר את הקווים, או לחילופין, לצבוע כל מצולע בצבע אחר ולכתוב מהם המצולעים שהתקבלו.
שלב זה מסכם את הנלמד בשיעור
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Question for Discussion:
Look at the polygons in the paper. Write inside each polygon the name of the polygon. -
מומלץ כי התלמידים יציירו את הקווים, או לחילופין יצבעו כל מצולע בצבע אחר ויכתבו מהם המצולעים שקיבלו.
שלב זה הוא הכנה לשיעור מצולעים ג
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This was a preparatory lesson for the next lesson, called ‘Polygons’.
- Lesson Aims
The pupils during the folding process will identify polygons according to stated properties. The pupils will learn how to form different polygons with their sheets and investigate the various properties of the folded shapes.
- Model Name
Polygon activity 3 decomposition and composition 1/2
- Lesson structure
- Lesson content
The decomposing and composing activities allow the children to create various polygons during the folding process and with the combination of several triangular folded shapes. With a series of questions and answers during the folding process the pupils are able to deepen their geometric reasoning in a dynamic environment.
- Materials
Origami paper 15 cm X 15 cm, 2 sheets per pupi
- Prior knowledge
.Concepts of sides and vertices in polygon, Parallels side
- Grade curriculum