Successive Discounts - … for composition of functions. Determine equivalent expressions for composition of functions. Use technology to develop graphical representations for composition of functions. Materials Successive … for any of the functions. Focus on the process of applying one function first, and then applying another function second. Solutions to Questions … compositions of three functions. Provide students with composite functions such as h(x) = 0.6(x - 2). Have students determine functions, f(x … User Rating:Grade Level: 9-12
Sloping and Intersecting a Linear Function - … Linear Function Examples (see attached file). - Sloping and Intersecting a Linear Function Worksheet (see attached file). - Sloping and Intersecting a Linear Function Checklist … function (see # 13 on attached file Sloping and Intersecting a linear Function Examples). Answer student questions and comments. 14. Describe a constant function … and Intersecting a Linear Function Linear Function, Slope-Intercept form Web supplement for Sloping and Intersecting a Linear Function Slope-Intercept Web supplement … User Rating:Grade Level: 9-12
Stage 1 – Desired Results - … the graph or function in their own words. ? Apply their knowledge of functions to other similar problems. ? Compare different functions and their behaviors … given need to solve using functions. function. ? Students will be able to compare the graphs of several different functions. Stage 3 ? Learning Plan … about moving between different functional representations, using functions to solve real world problems, and describing the behavior of different functions. ? Rationale: We will … User Rating:Grade Level: 6-12
Function Machines - … complete a function table. 2b. The student will determine the rule of a function table. 2c. The student will graph functions from function tables. Procedures: What is a function? One of the simplest ways to think about functions … an equation or function. To graph a function follow these steps: 1) Record the input and output in a function table. We chose … User Rating:Grade Level: 6-8
Parameters of Real-Life Linear Functions - … -H Recognizing behavior of families of elementary functions, such as polynomial, trigonometric, and exponential functions, and, where appropriate, using graphing technologies to … Lessons for Mathematics 105 Patterns, Relations and Functions Lesson 8: Parameters of Real-Life Linear Functions Student Worksheet #1 Two lawnmowers both … Lessons for Mathematics 109 Patterns, Relations and Functions Lesson 8: Parameters of Real-Life Linear Functions Student Worksheet #2 Complete the following … User Rating:Grade Level: 9-12
Introduction to Functions - … will: have been introduced to functions have learned the terminology used with functions have practiced describing functions with one operation in English sentences … input into a function, often represented by x. Dependent Variable: The output from a function, often represented by y. Function: A process that … of functions and will have seen many examples of linear functions. The next lesson More Complicated Functions will introduce students more general linear functions … User Rating:Grade Level: 6-8
More Complicated Functions: Introduction to Linear Functions - … More Complicated Functions: Introduction to Linear Functions Abstract This lesson is designed to introduce students to the idea of functions composed of two … will: have been introduced to functions have learned the terminology used with linear functions have practiced describing linear functions in English sentences, data … information on more complicated functions, discussing only functions of the form y = mx + b. Add a "name that function" contest (modeled on name … User Rating:Grade Level: 6-8
Generating and Recording Data - … function machine (large enough for teacher to perform function inside box) Dry erase markers Magnet strip Attachments fish.pdf Web Sites The Function Machine Function Machine Background For Teachers: Vocabulary words used in this activity: Function machine - A machine that can perform a function on … User Rating:Grade Level: K-2
Inverse Functions - … the inverse of a given function is a function using the horizontal line test Key terms: Inverse Function Inverse Relation Reflection Horizontal line … relation and inverse relation are functions (show mapping) Relation is a function but inverse relation is not a function (show mapping) Give example … if the inverse is a function as well. Horizontal line test: the inverse of a function is a function if and only if … User Rating:
Using a Calculator for Finding the Equation of a Function - … of a Function To determine the function of best fit for a set of data, students should recognize which category of function bests … to the Best Function Activity Sheet. Once students can determine the function category and use technology to find the specific function, they are … the function for the inverse of the function (switching x and y) and then use the base to write the logarithmic function. Teacher … User Rating:Grade Level: 9-12