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TRIGONOMETRY

TRIGONOMETRY. An introduction.

henrik
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TRIGONOMETRY

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  1. TRIGONOMETRY An introduction

  2. Slide 2: video clip - The clip below is about mathematics in the real world and it helps to show relevance of mathematics. Students do not understand why they are doing mathematics in school and so this video allows the teacher to show the students that mathematics is in almost every profession

  3. Slide 3: A problem - This page is an insight into trigonometry and the uses of trigonometry. Essentially, it is a problem that the students need to solve and as the class moves further and further into the unit, they will be able to answer the question. Here, we are starting with a problem and then developing the skills in order to be able to answer the problem. A Problem A ship is 180 km away from a light house on a bearing of 040ᵒ. If the ship’s port is 137.9 km north of the lighthouse, how long will it take for the ship to reach the port given the ship is travelling at 57.9 km/hr? leave your answer correct to the nearest hour.

  4. Slide 4: naming the sides of a right angled triangle - In this slide and the next couple of sides, Students are asked to identify the sides of a triangle in relation to a given angle. Naming the sides of a right-angled triangle • Hypotenuse – longest side of a triangle and is always opposite the right angle • Opposite side – side opposite the given angle • Adjacent – side next to the angle

  5. Slide 5: Examples on naming the sides of a right angled triangle in relation to a given angle Example 1. Name the hypotenuse, opposite and adjacent side of the angle.

  6. Slide 6: The Trigonometric ratios - Here students copy the trigonometric ratios and also learn about how to remember it. Students are taught very briefly about SOHCAHTOA and the following slide reinforces the information Trigonometry Ratios

  7. Slide 7: SOHCAHTOA video - This is the second video and helps to reinforce the concept of trigonometric ratios. Furthermore, it helps students to remember the trigonometric ratios

  8. Slide 8: Example - an example which reinforces the concept of the trigonometric ratios as well as how it is used. e.g. In ΔAXP, find sinθ, cosθ and tanθ.

  9. Slide 9: A more complex example - This is the last slide of the lesson and it is about the trigonometric ratios and how the can change depending on which angle you are looking at in a given triangle. The Teacher does The trigonometric ratios for angle C and gets the students to do the trigonometric ratios for angle B to test student understanding and learning e.g. for angle C, find Sin C, Cos C and Tan C and for angle B, find Sin B, Tan B and Cos B.

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