Graphing Functions Teacher Resources
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Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
Algebra : Graph Functions
In this graphing functions worksheet, students examine 3 graphs of functions. Students then answer 5 problems where they match the graph to an equation, create a graph based on a set of ordered pairs or answer questions based on the graphs provided.
Algebra: Graph Functions
In this graphing functions worksheet, learners solve 10 problems where they create a table of values then make a graph for a given function.
Algebra: Graph Functions practice 13.4
In this graphing functions instructional activity, students make a table of values, graph the functions, and tell whether the ordered pair lines are on the lines. Students solve eight problems.
In this graphing functions worksheet, students solve and complete 25 various types of problems. First, they evaluate each of the limits presented. Then, students graph each given function, graphing both the equation and then the horizontal or oblique asymptote.
Students graph linear, quadratic, absolute value, and square root functions using transformations. In this graphing functions lesson plan, students are provided a worksheet.
Seventh graders engage in a lesson that is concerned with the graphing of functions. They practice solving problems in a variety of contexts while graphing the points for a function. Students also find the slope of a line and use it to graph a function.
Problem Solving: Graphing Functions
In this graphing functions worksheet, students solve 6 word problems, finding ordered pairs, missing coordinates and numbers, slopes of lines and functions.
Graphing Functions With 2 Points and From a Graph
Young scholars plot points on a coordinate plane. They describe, in words, methods for finding the slope of a line. After given a worksheet, students read instructions, draw a Cartesian plane, plot ordered pairs, and graph lines. Papers are exchanged and young scholars then find the slope of a line.
In this graphing functions activity, 10th graders solve 10 different problems that illustrate various graphs of functions. They determine the type of function that each graph shows. Then, students write the equation for the line graphed on each graph illustrated on the sheet.
In this graphing functions worksheet, students solve and complete 16 various types of problems. First, they evaluate each of the limits provided. Then, students graph each of the functions and their asymptotes as given.
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing techniques using a PowerPoint, and interact with a number of websites to reinforce graphing lines, quadratics, exponentials, and conics. They also graph (depending upon their level) various equations and functions, including linear equations, quadratic equations, circles, ellipses, hyperbolas, exponential growth/decay, sine, cosine, tangent, and points. The range and domain are also key when creating a drawing.
High schoolers graph functions that are given, and then they write the equations for the completed graphs. There are several problems included, and they are designed to be used without calculators.
Graphical Consequences of Continuity
Students explore and examine the continuity of three functions: horizontal zooming, polynomial function, and oscillating functions. They practice graphing functions, generating tables and navigating the zoom, vars and test menus on their graphing hand held calculators.
Working independently or in teams, your class practices connecting graphs, formulas and words. This instructional activity includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.
Exponential Growth and Decay
Students explore the concepts of exponential growth and decay. For this Algebra II lesson, the students use a variety of teaching resources, including the web, and modeling and experimentation, to identify exponential growth or decay and sole related problems.
Math Journal: Functions and Coordinate Geometry
Fifth graders examine the many uses of coordinate grids. In this graphing lesson, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better. Students complete several discussions and guided practices and then work independently on the worksheets provided within the unit.
Family Ties: Parabolas
Graph parabolas! Analyze the effects of parameter changes in the vertex form of a quadratic equation. The class inputs data in a spreadsheet to form the graphs. The instructional activity includes worksheets.
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a polynomial. Additionally, they will use a graphing utility to determine local extrema.
Functions and the Vertical Line Test
Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.