Understanding the triangle series 1 v1
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Transcript of Understanding the triangle series 1 v1
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Understanding the triangle
• This part 1: • Power point for active learning method/ workshop.• In this power point children will experiment the concept of of sin
ratio.
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Understanding the triangle
Part 1
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Objectives• Making a right angle triangle.• Find the ratio of the sides of the triangle.• Measuring sin of the angle
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Making a right angle• Take a A4 sheet. Cut into half pieces.• Take an half piece.
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• Mark a point in the left bottom corner of the paper.• We will call this as origin
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• Position the protector.
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• Mark angle 30 degree.
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• So we have a starting point.
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• And we have another end point.
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• Join these two points.
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• Now we have a straight line at an angle 30 degree.
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1
2
3
1
With adult supervision: Cut the paper as show in pictures 1,2,3.
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• Take the triangle and mark the angle 30 degree in the corner where you have done your measurement.
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• Measuring the triangle’s parameters:• Look for the 30 degree.• Measure it’s opposite side• Measure the adjacent side to 30 degree.• Measure the hypotenuse
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Adjacent side
Opposite side
hypotenuse
30
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33
Sample 1 Opposite side Adjacent side Hypotenuse
Note down the values in the table
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• Now let us reduce the size of the triangle. Cut vertically to the base of the triangle.
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Fill the second row
Sample 1 Opposite side Adjacent side Hypotenuse
1
2
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• Again reduce the triangle size. Measure all three parameters of the triangle.
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Fill A third row
Sample 1 Opposite side Adjacent side Hypotenuse
1
2
3
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• Repeat the process until you get five rows.
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What can you see in the table• As the adjacent side decreases, the opposite side and hypotenuse
decrease.
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Break
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Trigonometry• Trigonometry is a special and beautiful concept of maths.
• trigonon "triangle" + metron "measure”
• We are going to examine the triangle.
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• Recall that our triangle has an angle 30 degree. We have an adjacent side, an opposite side and a hypotenuse.
Adjacent side
Opposite side
hypotenuse
30
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Form the table• As the adjacent side decreases, the opposite side and hypotenuse
decrease.• Are you interested in
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We are going to check a ratio
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SINE Ratio
• We will call this as sine ratio.• Go back to the table of the right angle triangle with angle 30
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Checking the Sine ratio for angle 30
Opposite side Adjacent side HypotenuseSide
Sin 30
1
2
3
4
5
Sin 30
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Summary• We took a right angle triangle with an angle 30.• We measured opposite side and hypotenuses.• We found their ratio is constant. • Sine of an angle is the ratio of opposite side to that of hypotenuses.