Objective

Check Unit Review

Review Game: Categories

Unit Review Game: Categories

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Objective

SWBAT review the important concepts of this trigonometry unit.

Big Idea

The review game Categories is a fun way to review the Law of Sines, Law of Cosines, vectors, and complex numbers.

Lesson Author

Tim Marley

Troy, MI

Grade Level

Eleventh grade

Twelfth grade

Subjects

Math

Precalculus and Calculus

law of sines

Law of Cosines

Trigonometry

Standards

HSN-VM.A.1

Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).

HSN-VM.A.2

(+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

HSN-VM.A.3

(+) Solve problems involving velocity and other quantities that can be represented by vectors.

HSN-VM.B.4

(+) Add and subtract vectors.

HSN-VM.B.4a

Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

HSN-VM.B.4b

Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

HSN-VM.B.4c

Understand vector subtraction v â w as v + (âw), where âw is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.

HSN-VM.B.5

(+) Multiply a vector by a scalar.

HSG-SRT.D.9

(+) Derive the formula A = (1/2)ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

HSG-SRT.D.10

(+) Prove the Laws of Sines and Cosines and use them to solve problems.

HSG-SRT.D.11

(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

MP1

Make sense of problems and persevere in solving them.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

MP6

Attend to precision.

Check Unit Review

25 minutes

Students were given the unit review for homework yesterday. I gave my students the answers so that we won’t have to spend time in class checking their work – they will already have come into class with the problems that were not correct. It is a good idea to give students 5-8 minutes to talk with their table group about questions they did not have right. This is nice to get rid of some of the procedural questions and to focus on the conceptual struggles they are having.

At this point in the chapter, my students are still having some difficulty converting complex numbers in a + bi form into trigonometric form. I attribute this to fact that this is still a relatively new concept; we have only been working on this for a few days.

In yesterday’s video, I said that questions #3 - #5 were typically difficult for students and I have some pointers on those problems. Besides those specific problems, it might be a good idea to ask some general questions to summarize all of the work we have done in this unit. Below are some suggested questions to ask.

1. How do you find a resultant vector?

2. When can there be two possible triangles? When can there be zero triangles?

3. What are the different tools we can use when working with triangles? How do we know which tool to use?

4. How can you find the area of a triangle?

5. How do you convert from a + bi form to trigonometric form when working with complex numbers?

Review Game: Categories

30 minutes

Clarifying Categories

Categories is always a fun review game for the students and the teacher. Students will be divided into teams and will work on questions and answer individually. After getting five points for a correct answer, they will have the opportunity to get five additional points by having their teams guess the category that they are listing things off from.They will have one minute to get through as many categories as possible.

Here is the PowerPoint you can use with your students. Here is the list of categories to use. You will cut these up and only give one box to the student listing examples off. The other set is for you so you can follow along.

In the video below I explain the game in more detail.

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