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Reviewing Functions

For Students Higher Ed
In this function instructional activity, students describe a function and write six different ways a function may be modeled. This two-page instructional activity contains eight problems.
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Polynomial Functions

For Teachers 11th - 12th
Students explore polynomial functions.  In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Students determine the regression equation...
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Composition of Functions

For Teachers 9th - 12th
Learners solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
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Introduction to Inverse Functions

For Teachers 10th - 12th
Pupils investigate patterns of inverse functions. In this algebra instructional activity, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
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What's My Rule? Simple Linear Functions

For Teachers 6th - 8th
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
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Rational Functions and Their Graphs

For Students 11th
In this Algebra II worksheet, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page worksheet contains explanation of topic,...
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Integrating Functions

For Students 6th - 8th
In this math activity, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Composite Functions

For Teachers 8th - 10th
Students create a poster to explain composite functions. For this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
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Reciprocals of Quadratic Functions

For Teachers 11th
Eleventh graders investigate inverse functions.  In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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Quiz 2: Euler's Method and Piecewise Linear Functions

For Students Higher Ed
In this linear function worksheet, students use Euler's method to approximate a solution to an initial value problem. This two-page worksheet contains three multi-step problems.
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Basic Ideas of Functions

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, pupils determine whether or not a relation is a function.  Students determine the domain of a function and express the answer in interval notation.  The three page worksheet contains...
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Algebra—Quadratic Equations and Functions

For Teachers 8th - 12th
Students use given information on wind speed with the quadratic formula to determine the pressure of the wind on a building. In this quadratic equations lesson, students compute the pressure of the wind from two data tables. They graph...
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Linear Functions

For Teachers 8th - 10th
Students solve and graph linear equations. For this algebra lesson, students collect data and plot it to create a linear function. They identify the domain and range of each line.
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Introduction to functions

For Students 5th - 10th
In this functions worksheet, students plot points on a graph according to the rule. Students plot 7 points on each of the 2 graphs given to them.
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Math Journal: Functions and Coordinate Geometry

For Teachers 5th
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...
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Graphing Situations without a Table

For Teachers 9th - 11th
Students graph a line without making a table of vales. For this algebra lesson, students are given a verbal scenario and asked to write a linear functions representing the scenario and graph it on a number line without making a table....
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Fifty-Eight Inverse and On-To-One Questions

For Teachers 8th - 11th
In this inverse function worksheet, students sketch inverses, find inverse functions, confirm pairs of functions are inverses, determine functions are one-to-one, and complete tables for one-to-one functions in fifty-eight questions.
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Investigation-How Many Toothpicks?

For Teachers 7th
Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.
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Algebra 1

For Teachers 8th - 10th
Students study the functional relationships of a variety of problems. In this functional relationship lesson plan, students determine the dependent and independent quantities of a given set of data. Students record the data and...
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Long Distance Phone Plans

For Teachers 7th - 9th
In this long distance phone plane worksheet, students compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They write...
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Identify and Graph Linear Equations

For Teachers 8th - 9th
Students investigate linear functions. In this mathematics lesson, students plot points onto a graph by solving the equations y=x and y=mx+b by being given numbers for x and solving for y.
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Domain and Range

For Students 7th - 9th
In this domain and range worksheet, students write the definitions for relation, function, domain and range. They then find the domain and range of 7 sets of ordered pairs. Finally, students answer 4 questions regarding inverse relations...
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Graphing and Interpreting Linear Equations in Two Variables

For Teachers 7th - 9th
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
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Soil Excavation

For Teachers 10th - 11th
Students comprehend how percent of change and multipliers are used to determine volume for removal and replacement of soils. They calculate soil volume percent changes using data tables. They apply formulas to solve a variety of...

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