User:Georgejem/Origami in Mathematics Pedagogy/Lesson Plans for Upper Primary Classes/Angles

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MODEL: ORIGAMI DOLPHIN[edit | edit source]

Crease pattern of origami dolphin
STEP 1: SQUARE SHEET OF PAPER
  • Ask students to describe the shape. (E.g., the square has 4 sides. They are of equal length.)
  • Observe that all angles in the square are 90⁰. Measure the angles and confirm.
  • This is called a right angle.
STEP 2: FOLD ALONG ONE DIAGONAL
  • Measure angle formed by diagonal at the two vertices, along either side. It is 45⁰.
  • What is the sum of these angles at one vertex? (Complementary angles)
  • Also, it is less than 90⁰. This is called an acute angle.
STEP 3: FOLD SIDES TO THE DIAGONAL LINE
  • Measure the angles at the vertex, which are now 22.5⁰. They are acute.
  • Measure the angles formed by the line meeting the side of the square. One of them is greater than 90⁰. This is called obtuse angle.
  • Add them up. They add up to 180⁰. (Supplementary angles)
STEP 4: FOLD OTHER TWO SIDES TO THE DIAGONAL LINE
  • There are two sets of intersecting lines. Measure the angles formed at the intersection point. Add the adjacent angles.
  • Are the opposite angles supplementary or complementary?
  • Find the acute and obtuse angles at the intersection point.
STEP 5: FOLD ALONG THE OTHER DIAGONAL
  • What can be said about the angle formed by the two diagonals? (right angles)
  • Are there any complementary angles formed?
  • Identify the angles formed.

Instruction for completing the Origami Dolphin model: https://www.youtube.com/watch?v=hcbrcTh6-sA[edit | edit source]

Right Angled Triangle · Sum Property of Triangles