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Composite Functions

For Teachers 8th - 10th
Students create a poster to explain composite functions. In this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
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Functions and the Vertical Line Test

For Teachers 8th - 12th
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
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Linear Functions

For Students 6th
In this linear function worksheet, 6th graders solve and complete 3 various types of problems. First, they write the equation of a straight line that passes through a pair of points. Then, students complete each table by filling in the...
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Courts and Bounds

For Teachers 5th - 7th
Students relate what they know about boundaries on sports courts to explore range of space. In this domain and range lesson, students identify numbers needed to calculate ranges and use the problem solving strategy of making a table.
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Limits of Functions

For Students 10th - 12th
In this limits of functions worksheet, students find the limits of given functions. This one-page worksheet contains 3 multi-step problems.
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Domain and Range

For Students 9th
In this domain and range worksheet, 9th graders solve and complete 3 various types of problems. First, they find the domain of each function shown. Then, students find the range for each function. They also find the domain and range of...
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Graphs of Functions

For Students 9th
In this graphs of functions worksheet, 9th graders solve and complete 3 different types of problems. First, they graph function f given by the functions shown on the grid. Then, students find the inverse of a function including its...
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Graphs of Functions

For Students 9th - 11th
For this graphs of functions worksheet, students identify the vertex, the x and y intercept and graph a quadratic function. This one-page worksheet contains 1 multi-step problem.
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Functions

For Students 7th - 9th
In this functions worksheet, students determine whether a correspondence is a function. They graph given functions. Students examine graphs and identify functions. This two-page worksheet contains 22 problems.
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Solving Nonlinear Systems of Equations

For Students 9th - 11th
In this nonlinear systems of equations learning exercise, learners solve nonlinear equations through elimination. They read statements, write equations, and solve systems of equations. This two-page learning exercise contains 20...
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Differentiation of Functions

For Students 10th - 12th
In this differentiation learning exercise, students use differentiation rules to solve given functions. This four-page learning exercise contains 8 problems.
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Limits of Functions

For Students 10th - 12th
In this limits worksheet, students find the limits of given functions. This two-page worksheet contains 4 multi-step problems.
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Solving Nonlinear Systems of Equations

For Students 9th - 11th
In this systems of equations instructional activity, students solve nonlinear systems of equations. This two-page instructional activity contains 20 problems.
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Inverse Functions

For Students 9th - 10th
For this inverse function worksheet, students write inverse functions and interpret the results. This one-page worksheet contains 1 problem.
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VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.

For Teachers 7th - 8th
Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.
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Real Life Graphs

For Students 9th - 11th
For this real life graphs worksheet, students examine graphs and determine the equation of a line. They interpret distance time graphs and draw graphs to match a real life situations. This three-page worksheet contains 3 multi-step...
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Problem Solving I

For Students 8th - 10th
In this problem solving worksheet, students estimate possible solutions to given functions. They determine the solution to given equations. This two-page worksheet contains 2 multi-step problems.
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Formula

For Students 8th - 10th
In this formula instructional activity, students read story problems, determine necessary information, and substitute the amounts in an equation. This two-page instructional activity contains 5 multi-step problems.
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Exponential Decay Functions

For Students 7th - 8th
In this exponential functions worksheet, students solve and complete 13 various types of problems. First, they state whether the table represents an exponential function or not and why. Then, students graph each function and identify its...
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Graph Functions with Integers

For Students 5th
Fifth graders can do a quick review of graphing functions using integers with this learning exercise. The learning exercise has questions which require students to identify the pertinent information in a word problem, and create a graph...
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Function Tables

For Students 4th - 6th
In this function tables practice learning exercise, students use their problem solving skills to solve 12 problems that require them to determine the rule followed in each of the function tables.
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Rational Equations

For Teachers 9th
In this rational equations worksheet, 9th graders solve and complete 19 different types of problems. First, they solve each given equation by factoring. Then, students state the domain and solve. They also illustrate any discarded...
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Variables and Functions

For Students 5th
In this algebra worksheet, 5th graders solve 6 word problems by finding the value of variable in function tables. They use the information to solve the problems.
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Worksheet 7.4 Function Composition

For Students 10th - Higher Ed
In this function composition worksheet, students find the composition of functions and state the domain. They graph relations and state the inverse. This two-page worksheet contains twelve multi-step problems.