Reflection: Intrinsic Motivation Review Identities - Section 1: Bell Work


This year I had 2 students try the extra credit.  Here is their methods.

The first 2 pages are from a foreign exchange student. The second page is his argument.  He was able to work from the right side and show how it is equal to the left side. I have not seen a student do his process before but it is amazing to see his process.  This student struggles with English but his math reasoning is great.

The other student worked both sides of the equivalency to get them equal to each other. This is what most students will try.


I like doing this problem and sometimes give this as a graded assignment. This year we have had numerous snow days so I am omitting some topics to make sure I cover the most important content.

When I do assign the verification, I let students work together and discuss how to do the problem. We usually start by verifying the 2 expressions are equivalent by estimating them on the calculator.

I have students share their thoughts. We discuss how numbers can be written in numerous ways such as 5 can be 4+1 or 2+3 or 6-5, etc.  They usually do not think about numbers in this way.

  Intrinsic Motivation: Extra Credit samples
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Review Identities

Unit 9: Trigonometric Identities
Lesson 13 of 14

Objective: SWBAT use trigonometric identities to verify other identities and evaluate expressions.

Big Idea: Problem solving is a method of review.

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Math, Trigonometric identities
  45 minutes
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