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Worksheet
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Graphing Linear Functions Using Their Slopes

For Students 9th
In this Algebra I learning exercise, 9th graders graph a linear function using its slope.  The one page learning exercise contains one multiple choice problem with the solution.   
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Worksheet
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Graphical Analysis of a Graphical Analysis of a Function

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students analyze the graphs of two functions by determining the functional value from the graph and given the functional value, determine the x value.  The one page worksheet contains nine...
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Worksheet
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Calculus Review

For Students 11th - 12th
In this calculus worksheet, students practice solving problems that utilize functions. They determine the critical points, and determine where the open intervals are increasing or decreasing.
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Worksheet
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Inverse Relations

For Students 11th
In this Algebra II worksheet, 11th graders graph functions on a coordinate plane. Students determine values for which the function is undefined and explore reciprocal functions. The one page worksheet contains thirty-two problems....
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Worksheet
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Graphing Polynomials

For Students 9th
For this polynomials worksheet, 9th graders solve and complete 3 different problems. First, they illustrate the x is equal to a given number of a function and determine its multiplicity. Then, students factor the function completely and...
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Lesson Plan
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Mathematics-Algebra II

For Teachers 10th
Tenth graders investigate relations and functions. For this algebra lesson, 10th graders perform or research real life situation involving functions. This assignment can be used as a year end project.  
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Lesson Plan
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Mathematices: Pre-Calculus

For Teachers 11th - 12th
Students relate polynomials to real life situations. In this algebra lesson, students graph equations through modeling and data collection. They must be comfortable doing word problems.
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Lesson Plan
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Count the Differences

For Teachers 9th - 12th Standards
Pupils determine the degree of polynomials.  In this determining the degree of polynomials lesson, students find the difference between consecutive y-values.  Pupils find the degree of a linear, quadratic, and cubic function by this...
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Worksheet
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Math Worksheet: Range of Functions (2)

For Students 9th - 11th
In this range of functions learning exercise, learners find the range of three functions. One function is a trinomial, one function is a rational with a binomial denominator, the third function involves absolute value.
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Lesson Plan
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Relationships and Functions

For Teachers 5th
Fifth graders describe patterns as relations and functions. In this patterning instructional activity, 5th graders analyze and continue patterns. Students understand how patterns relate to relations and functions.
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Lesson Plan
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Function Machine

For Teachers 2nd
Second graders decipher a pattern using input and output. In this functions lesson, 2nd graders use input and output numbers to find a pattern involving addition and subtraction. Students use the pattern they discovered to help solve...
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Lesson Plan
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Continuous Probability Distributions

For Teachers 11th - Higher Ed
Students practice continuous probability distributions. In this probability lesson, students calculate probability, use probability functions, and use rectangular distribution.
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Lesson Plan
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Word Problems: Algebra

For Teachers 5th - 8th
Students discuss algebraic symbols, equalities and unknown quantities, review sample problems and complete associated worksheets.
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Worksheet
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Write Function Rules Using One Variable

For Students 5th - 6th
In this function rules worksheet, students solve the problems by finding the output numbers using the given inputs in the function table. Students solve six problems that contain one variable.
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Worksheet
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Function Tables

For Students 3rd - 4th
In this graphing worksheet, students complete two different word problems by filling out the function tables and then writing an algebraic equation for the problems.
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Worksheet
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Relations and Functions

For Teachers 9th
In this relations and functions worksheet, 9th graders solve and complete 3 different problems that include relations and functions. First, they use the same relationship between x and y as the illustrated table to determine the value of...
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Worksheet
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Relations and Functions

For Students 9th - 11th
In this relations and functions activity, students identify the constant of variation. They write equations that represent a given relationship. This one-page activity contains two problems.
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Worksheet
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Function Tables

For Students 5th
For this function table worksheet, 5th graders solve and complete 10 different function tables shown. First, they determining the ordered pairs in each table. Then, students use number patterns to complete each table filling in the...
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Worksheet
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Quiz: Graphs of Polynomial Equations of Higher Degree

For Students 9th - 10th
For this polynomial equation worksheet, learners find the roots of polynomial functions. They interpret graphs and estimate the solution to given equations. This two-page worksheet contains ten polynomial equation problems.
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Worksheet
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Functions

For Students 12th - Higher Ed
In this function worksheet, students solve 4 different types of equations related to functions. First, they determine a particular solution to the low pass and plot the input and output of the same axes and compare. Then, students...
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Worksheet
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Functions

For Students 9th - 12th
In this function worksheet, students describe functions in a given set. They determine the number of functions that correspond to a set. This one-page worksheet contains three problems.
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Worksheet
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Limits of Functions of Two Variables

For Teachers 11th - Higher Ed
In this math learning exercise, students examine the limits of the functions in two variables. Then the limits are measured for the functions to determine that they do not exist.
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Organizer
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Input- Output Tables

For Teachers 5th - 6th
In this math worksheet, students use 20 empty Input/Output tables for any math function where they are applying a rule to different numbers. There are 4 lines on every table and there is an area to write the rule which is being followed.
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Worksheet
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Input- Output Tables

For Teachers 4th - 6th
In this multi-use input-output table instructional activity, students fill in 20 tables to determine the rule for a math sequence or pattern. There are no directions given with this instructional activity.