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# Assessment for Identities

Lesson 14 of 14

## Objective: SWBAT use identities to verify other identities and evaluate trigonometric functions

## Big Idea: Through a written assessment students demonstrate their proficiency in using trigonometric identities to verify identities and evaluate trigonometric functions.

#### Assessment

*45 min*

For this assessment students are allowed to use the reference sheet they developed during the unit. The one shared was typed by a students and shared with anyone that wished to have the sheet.

I allow the use of the identity sheet because the main goal of this unit is for students to use the identities. I also teach calculus and I find that the students know the important identities even though I do not have them memorize them for this test.

On this test, I do allow students to get a hint on the first 2 questions if they get stuck. I will deduct points by determining how much of a hint the student needed. Correcting a sign error is not as much of an error as reminding students of the property needed to start the problem.

Question 3 on the test allows students to show their reasoning. I did not state which formula to use so the students can solve it many different ways.

Students sometimes struggle with question 4. I made cos B=-3/4 to make sure students realize that just because you see a 3 and a 4 the other side (y in this case) is not necessarily 5. That is a common error. The other error is simplifying with radicals. Some students are not sure how to write (3)(-sqrt21). We have briefly reviewed this in class but many panic on tests and forget what happened on homework.

On the last 2 problems students struggle with computations with fractions. This is an issue I work on throughout the course. I try to work with students on an individual basis to fix the errors or misconceptions.

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- UNIT 1: Introduction to Learning Mathematics
- UNIT 2: Functions and Piecewise Functions
- UNIT 3: Exponential and Logarithmic functions
- UNIT 4: Matrices
- UNIT 5: Conics
- UNIT 6: Solving Problems Involving Triangles
- UNIT 7: Trigonometry as a Real-Valued Functions
- UNIT 8: Graphing Trigonometric Functions
- UNIT 9: Trigonometric Identities
- UNIT 10: Solving Equations
- UNIT 11: Vectors and Complex Numbers
- UNIT 12: Parametric and Polar graphs and equations

- LESSON 1: Formalizing Properties Known Informally
- LESSON 2: The Pythagorean Identities
- LESSON 3: Simplifying Expressions
- LESSON 4: Proving Identities
- LESSON 5: Co-Function Identities
- LESSON 6: Even Odd Identities
- LESSON 7: Problem Solving Identities
- LESSON 8: Formative assessment over Identities
- LESSON 9: Sum and Difference Day 1 of 2
- LESSON 10: Sum and Difference Day 2 of 2
- LESSON 11: Double Angle Identities
- LESSON 12: Using Half Angle Identities
- LESSON 13: Review Identities
- LESSON 14: Assessment for Identities