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Course, Subject

Algebra I (Next Generation), Algebra II (Next Generation), Math, Science & Technology, Mathematics (NYS P-12 Next Generation)

Description

This lesson will introduce students to functions, input-output tables, and the vertical line test.

Resource/Materials

B.2.1.Functions and their Graphs.ppt
ws 2.1 functions.doc

Duration

42-minutes

Learning Objectives

Students will be able to:

create input-output tables for a given function

decide whether a given table of values is that of a function

decide whether a given graph is a function

Materials

Computer

SMART Board

LCD projector

Step-by-Step Procedure

The "do-now" is the first slide of the presentation and will be on the board when the students come in to class. This will reinforce previously learned skills that are needed for this lesson. The first slide introduces functions, input-output tables, domain and range. Next students have the opportunity to decide whether given values with tables are those of functions and further practice by creating input-output tables for given equations. The last slide introduces the concept of the vertical line test and why it is useful.

After the presentation, students will use the remainder of the period to complete the class work assignment and practice what we have discussed. The teacher will walk around to keep everyone on track and check for understanding of the material.

Assessment

Students will have to complete a class work assignment following the PowerPoint presentation. For students with 504 accommodations, they will be able to take the assignment home to finish.

Related Academic Standards

New York State

NY-7.EE.3 Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate. Assess the reasonableness of answers using mental computation and estimation strategies.

NY-8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

NY-8.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

NY-8.F.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line. Recognize examples of functions that are linear and non-linear.

NY-8.F.4 Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

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