Trigonometry in The World
Good Morning Readers!
We are back at it today and are going to look at a variety of activities that focus on grade 10 and 11 trigonometry. Before we get into the fun stuff a little math joke wouldn’t hurt no one
Q: Why do math teachers love parks so much?
A: Because of all the natural logs!!!
Unfortunately I had no visuals for this week's joke of the day but will make sure I have one for next week's blog. Let's dive into the first activity my college Allen developed!
Allen was assigned the following grade 10 trigonometry expectation: solve problems involving similar triangles in realistic situations. He developed an activity where he made specific base triangles out of paper. The most common triangle we used had two side lengths of 1” and the hypotenuse was 2” in length. We would then use this triangle and its angles of elevation, as well as the base distance from the water bottle to the end of the triangle to estimate the bottle's height. It was a neat activity that introduced it at a lower level. Since a water bottle can be easily measured with a ruler, students could see the method was accurate.
To continue discussion amongst students, I suggest asking the students how they could see this application in real life. Would they use it to estimate the height of something really tall such as a commercial building. For further application, the lesson could be expanded by using a clinometer to estimate the height of a tree at the school. Allowing students to see how a simple concept could be used in very powerful ways.
The next lesson proposed in class today was my colleague Abbey. She was given the grade 10 mathematics expectation: determine, through investigation (e.g., using dynamic geometry software, concrete materials), the relationship between the ratio of two sides in a right triangle and the ratio of the two corresponding sides in a similar right triangle, and define the sine, cosine, and tangent ratios. This was a continuation of Allen’s lesson.
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