Graphing a Rational Function - … quadratic functions and show intercepts, maxima, and minima. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. Graph rational functions … Thinking What type of function is this? How is this function different from a linear function or a quadratic function? What are some of … User Rating:Grade Level: 9-12
Functions: Domain and Range - … , range and function notation. Guiding Questions: What are the guiding questions for this lesson? What is a function? A function is a rule … a function, what function notation would you use to show it as a function? Since y = f(x), f(x) = 2x For the function … a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the … User Rating:Grade Level: 9-12
Linear Functions Representations - … of your function? How can you tell you have a function? Show your function in Slope-Intercept form: Show your function using function notation: What is the slope of your function? Can you … investigate their given linear function and then compare their function to the other pair's function within the group.More functions can be added … User Rating:Grade Level: 9-12
Comparing Linear and Exponential Functions - … On Demand Students are given a linear function represented by an equation and an exponential function represented by a graph in a … may be able to identify the function types (e.g., as linear and exponential) or calculate functional values. However, the student is … change of a linear function is constant. Guide the student to create a table of functional values for both functions for x = 0 … the rates of change each day for each function to better compare the two functions. Ask the student to make a table … User Rating:Grade Level: 9-12
Movement with Functions - … a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the … a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 … with linear functions and with exponential functions. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by … User Rating:Grade Level: 6-12
Translating Quadratic Functions - … even and odd functions from their graphs and algebraic expressions for them. Belongs to: Build new functions from existing functions related instructional resources … graph quadratic functions, prepare a display of their functions, and determine how the modification affects the graph of the quadratic function. Then, students … Technology: Graphing Calculators Instructional Time: 50 Minute(s) Keywords: quadratic functions, function translations, parabola Instructional Component Type(s): Lesson Plan Instructional Design … User Rating:Grade Level: 9-12
Graphing Root Functions - … quadratic functions and show intercepts, maxima, and minima. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. Graph rational functions … values of x into function h? Into function g? Instructional Implications Discuss with the student why the domain of function h is the … User Rating:Grade Level: 9-12
Light It Up - … , range and end behavior of rational functions. Write rational functions that model problem situations Use rational functions to solve problems Materials Light It … on the domain and range of a function. Describe other functions, such as exponential functions and trigonometric functions, which contain asymptotes. Then allow students … the lesson was to learn about rational functions. Rational functions are quotients of two other functions, and they have a standard form.] What … 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
Linear Functions - … , extend, and apply patterns in relationship to functions. The students will complete a function based on a given rule. 2 Instructional Activities … are familiar with these terms, begin the function machine activity. You can have the function machine ready to use, or allow the … students to have a function machine box, index cards, markers, and a function table. Directions for using the function machine: 1. Decide which … User Rating:Grade Level: 3-5