Subject: Mathematics
Grade Level: High School
Topic: Inverse Tangents on Circle
Learning Objectives:
* Students will be able to define the inverse tangent function.
* Students will be able to graph the inverse tangent function.
* Students will be able to use the inverse tangent function to solve problems.
Materials:
* Whiteboard or projector
* Markers or pens
* Paper
* Calculators
Procedure:
1. Begin by reviewing the concept of the tangent function.
2. Remind students that the tangent function is defined as the ratio of the opposite side to the adjacent side of a right triangle.
3. Explain that the inverse tangent function is the inverse of the tangent function.
4. In other words, the inverse tangent function is the function that gives you the angle measure when you know the ratio of the opposite side to the adjacent side of a right triangle.
5. Graph the inverse tangent function using a calculator or computer.
6. Discuss the key features of the inverse tangent function graph, such as its domain, range, and asymptotes.
7. Show students how to use the inverse tangent function to solve problems.
8. For example, show students how to use the inverse tangent function to find the angle measure of a triangle when they know the lengths of the two sides.
Assessment:
* Observe students as they work through the problems.
* Collect and review student work.
* Have students complete a quiz on the inverse tangent function.
Differentiation:
* For struggling students, provide them with more scaffolding during the lesson.
* For example, give them a table of values for the inverse tangent function or allow them to use a calculator to graph the function.
* For advanced students, challenge them to solve more complex problems.
* For example, have them find the angle measure of a triangle when they know the lengths of all three sides.
Extension:
* Have students research the applications of the inverse tangent function in real life.
* For example, have them find out how the inverse tangent function is used in surveying, navigation, and engineering.