10th Grade Identifying The Domain Of Real Function Lesson Plan (Math)

Topic: Identifying the domain and range of real functions

Objectives & Outcomes

• Students will be able to identify the domain and range of real functions.

Materials

• Examples of real functions
• Calculators or pen and paper for solving problems

Warm-up

• Ask students if they have heard of the concept of a function. What are some examples of functions they are familiar with?
• Ask students if they know what the domain and range of a function are. Have them explain their understanding.

Direct Instruction

• Define the domain and range of a function. The domain is the set of all input values that a function can take on, and the range is the set of all output values that a function can take on.
• Give some examples of functions with different domains and ranges. For example, a function with the domain [-2, 2] and range [0, 4] would be a function that takes on values between -2 and 2 and outputs values between 0 and 4.
• Explain how to identify the domain and range of a function. The domain is the set of all input values that the function can take on, and the range is the set of all output values that the function can take on. To identify the domain and range, we need to first find the graph of the function and then identify the set of input values and output values.
• Provide some practice problems for students to work through identifying the domain and range of a function.

Guided Practice

• Give students a few examples of functions with different domains and ranges. Have them work in pairs to identify the domain and range for each function.
• Have students share their answers and explain their reasoning.

Independent Practice

• For the independent practice, have students work on a project-based activity. Give them a list of real-life situations and a function that represents the relationship between the variables in the situation. They must use the given function to determine the domain and range of the situation.

Closure

• Review the main points of the lesson and ask students to give examples of domain and range for a given function.

Assessment

• Check for student understanding of the concepts covered by having them solve a few more examples of identifying the domain and range of a given function.