# One of Those Days

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## Objective

SWBAT to model a situation using sinusoidal curves.

#### Big Idea

A fun biorhythm problem provides students with practice modeling a sine transformation that includes period changes without a shift.

## Homework Quiz

10 minutes

For the first 10 minutes of class, I will have students take their Homework Quiz #7-8 for the week which is over worksheets #7-8. The electronic version of the quiz is in the Homework Quiz.

## One of Those Days Activity

35 minutes

As students complete their homework quiz, they will begin working on the handout Student Worksheet - One of Those Days. Today’s activity has students study biorhythm cycles as a context to use trigonometric modeling. My students are usually interested in this topic. Many wonder if it is true (it’s just a theory). Their interest in the topic definitely helps increase their motivation to complete the assignment.

I expect some of my students to struggle a bit with finding their current position according to their personal biorhythmic cycles (see Question 3). In response, I will point out the fact that the first number that students calculate is the number of days they have been alive.  Once this idea is established, most students understand why they would be adding or subtracting the numbers in Part 3 of the calculation to shift the graph.

When students reach the challenge problem, I will encourage them to use their graphing calculator to model the three functions. I find that students attempting to do this problem by hand do not have the technical skill to work efficiently. Thus, they find this very difficult!

## Closure

5 minutes

To wrap up today’s lesson, I wanted to review the answers with students to Question 2: