Today was our fourth block in the new unit... get ready: quiz block 5, quiz block 6, test block 7.
Quiz Thursday over 4.5 - worksheet homework is good preparation. No calculator allowed. Answers posted below. 5 min for questions, 20 min for quiz.
Today our goals were: improve graphing skills (especially without calculator), write equations from graphs (focus on finding a, b, c, and d from looking at the graph), analyze trigonometric functions by finding period, amplitude, vertical shift, phase shift, if reflected, domain, range, minimum value, maximum value, zeroes (in terms of n), y-intercept (put in 0 for x, solve for y).
The first part of class was devoted to "analyzing" y = sin x and y = cos x. What does it mean to analyze? What all can we observe? How do we write zeroes using n? A grade was taken on HW #2 - 4 pts.
After lunch, we went over HW #2 and any questions. Then we used the last two questions to launch into how to write an equation from a graph or from information about the graph. We also practiced graphing by hand and labeling exact zeroes, y-intercept and extrema. We practiced writing an equation from information about the graph.
Activity: write an equation for each graph, check in the calculator to make sure you are correct. Is there more than one answer? Is a phase shift of cosine to the right Pi/2 just a sine function?
Homework #3 - two review sheets to practice for quiz.
Attached: originals of the review sheets and the activity. Answers to both. Some notes from class (not about the analysis).
Quiz Thursday over 4.5 - worksheet homework is good preparation. No calculator allowed. Answers posted below. 5 min for questions, 20 min for quiz.
Today our goals were: improve graphing skills (especially without calculator), write equations from graphs (focus on finding a, b, c, and d from looking at the graph), analyze trigonometric functions by finding period, amplitude, vertical shift, phase shift, if reflected, domain, range, minimum value, maximum value, zeroes (in terms of n), y-intercept (put in 0 for x, solve for y).
The first part of class was devoted to "analyzing" y = sin x and y = cos x. What does it mean to analyze? What all can we observe? How do we write zeroes using n? A grade was taken on HW #2 - 4 pts.
After lunch, we went over HW #2 and any questions. Then we used the last two questions to launch into how to write an equation from a graph or from information about the graph. We also practiced graphing by hand and labeling exact zeroes, y-intercept and extrema. We practiced writing an equation from information about the graph.
Activity: write an equation for each graph, check in the calculator to make sure you are correct. Is there more than one answer? Is a phase shift of cosine to the right Pi/2 just a sine function?
Homework #3 - two review sheets to practice for quiz.
Attached: originals of the review sheets and the activity. Answers to both. Some notes from class (not about the analysis).
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