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Graphing Functions Teacher Resources
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Students 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 students then find the slope of a line.
In this graphing functions worksheet, 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.
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.
Mixing math and art is done in this lesson plan by applying graphing knowledge to create a unique piece of art. This lesson plan 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.
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.